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S4 – 03: LIVE from NCTM with Bethany and Dan

Hosts Bethany and Dan, both smiling, in a promotional image for the "Math Teacher Lounge" podcast, Season 4 Episode 3, titled "Live from NCTM!" with an

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer are LIVE with more than one hundred Math Teacher Lounge listeners at the recent National Council of Teachers of Mathematics conference. Listen in as they answer the pressing question: Who is the best teacher in film or television?

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Presenter (00:00):
Ladies and gentlemen, from Math Teacher Lounge, we have Bethany Lockhart Johnson and Dan Meyer! <cheering>

Bethany Lockhart Johnson (00:08):
Doesn’t go well that the door was locked. Like, I could not get in! <Laugh>

Dan Meyer (00:12):
Yeah. Gotcha. All right. We’re gonna sit a little bit. Let’s see how that works—

Bethany Lockhart Johnson (00:16):
Hi!

Dan Meyer (00:16):
Yeah. I think we’ll stand up? Or whaddaya think, sit…?

Bethany Lockhart Johnson (00:19):
Should we stand? Hi.

Dan Meyer (00:22):
Hello. Great to see you folks. Yeah, I can hear you.

Bethany Lockhart Johnson (00:25):
Can you hear me? That’s—I know YOU can me. Can you hear me OK? OK! We’re here. Hello. Thank you for like, lining up and coming out and being here. Thank you!

Dan Meyer (00:35):
Means so much to me that you could be here for me, on my show, with Bethany Lockhart Johnson, my co-host. <Audience laughs>

Bethany Lockhart Johnson (00:40):
The hour has just started.

Dan Meyer (00:42):
We’re just getting going. Yeah. If you folks have heard the podcast, you don’t know how much gets cut out. And it’s like, mostly me just having, you know, anxious nerves and saying something silly and then we cut it out and we can’t do that here today. So it should be real fun for all of us, I think. Yeah.

Bethany Lockhart Johnson (00:55):
It’s not true. It’s mostly dancing. “Bethany, can you stop talking? Bethany?” Cause it’s mostly—

Dan Meyer (00:59):
“It’s my turn. It’s my turn! Bethany <laugh>! I haven’t been heard for a while.”

Bethany Lockhart Johnson (01:02):
Dan. We’re at an in-person conference.

Dan Meyer (01:05):
In-person BIG conference, I would say. I’d say a big conference. Yeah.

Bethany Lockhart Johnson (01:08):
And have you been to the Amplify booth?

Dan Meyer (01:11):
I have! Have these people? There’s a claw machine with free socks.

Bethany Lockhart Johnson (01:16):
Yeah. You’re saving me socks, right? That’s what you’re saying. <Laugh> I mean, it’s exciting. How has your conference been so far?

Dan Meyer (01:21):
So far it’s been a blast. I feel fed. I feel like the community’s been awesome. How are you feeling about it?

Bethany Lockhart Johnson (01:29):
OK. Let’s talk about me for just a second.

Dan Meyer (01:31):
Yeah. Talk about you.

Bethany Lockhart Johnson (01:31):
Last night, Dan, was the very first night that I was away from my toddler. <Audience: Aw!>

Dan Meyer (01:38):
Big commitment being here. Thank you.

Bethany Lockhart Johnson (01:40):
I got super-emotional walking back to the hotel after dinner, and then I got in my room, <laugh> I put on pajamas, and I turned on music. I slept so good!

Dan Meyer (01:50):
Yeah. <Audience laughs> Give it up for no kids! <Audience laughs> Hey!

Bethany Lockhart Johnson (01:55):
I love him so much. But I slept all the way through the night. Oh, by the way, I ordered room service in the morning.

Dan Meyer (02:01):
On Amplify.

Bethany Lockhart Johnson (02:01):
That bill’s coming. But it’s been a great conference and I’m so delighted to be here in person and to get to share energy…and hopefully that’s all we’re sharing today. Y’all got your tests, right? Yep. Sharing energy and community today. Because we know it’s been hard. Hardness. Hard.

Dan Meyer (02:25):
Yeah.

Bethany Lockhart Johnson (02:26):
Years. Hard. And to be in person, I know conferences reinvigorate me and I go back into my educational spaces feeling revitalized with new connections and new ideas to try. So yeah, I’ve been excited to be here. And thank you all for being here.

Dan Meyer (02:40):
Yep. I don’t care if I get six different strains of Covid here. I’m just thrilled to be here. <Audience laughs> I don’t know if you’ve had the same feeling, though, Bethany, you folks…I’m a little bit confused to some degree about what we’re doing. I just wanna be really transparent. This is my sarcastic voice but I’m being sincere here. It kind of feels like we’re in a little bit of a time capsule. Like we all got in a time capsule in 2019 and, you know, you open it back up and it’s like, OK, so we’re still, you know, talking about X, Y, or Z protocol for establishing classroom routines or whatever. And I’m like, OK! Like, I loved that in 2019! But I do admit, I’m still trying to figure out a little bit like, what are we doing now? What’s our relationship to the world out there? Things are very different. I have had some great sessions that I’ve enjoyed. I’m also like, still waiting for a session to draw a little blood. Do you know what I mean? Like there’s been sessions…no? OK. You’ve been in these sessions where it’s like, “Oh, ow.” Like, and you look down and there’s and there’s blood there. It’s like, I thought I knew what we were up to. Like, I thought I knew what teaching was and how we relate to the world. I dunno, like in any Danny Martin session in 2019, “Take a Knee” was one, where I was like, “Oh, OK. Like, I’m not as hot as I think I am here. Like, I’m part of a system.” That kind of thing for me draws blood. And I haven’t been in one of those yet. Been some great sessions. I’m a little hopeful that today we draw a little blood and think about what we’re doing here, is my hope here, if that’s OK. So Bethany’s gonna moderate that impulse and she’ll be the fun one and I’ll be the blood-drawing one.

Bethany Lockhart Johnson (04:05):
No, I don’t…that metaphor doesn’t speak to me personally. But what I will say is, I get what you’re saying about really wanting to be in that room where there’s like this synergy happening. No promises about that today other than—

Dan Meyer (04:18):
I promise. <Audience laughs> Go on.

Bethany Lockhart Johnson (04:20):
Other than I get what you’re saying. I’ll find my own metaphor that does not involve bloodshed, but.

Dan Meyer (04:25):
Sure. There’s a lot of ways we we could go about this today. And the one that I’m excited about is, you know, we could like, you know, analyze some results from students, and talk about what went into that. Look at classroom video. Lots of possibilities. But here’s what we’re up to today. Hope you’re into it. Which is, we are here in the heart of the entertainment industry. You know, Tinseltown! Um, the Big Apple! Uh…

Bethany Lockhart Johnson (04:47):
No!

Dan Meyer (04:47):
Come on. What do you got here? Um…

Bethany Lockhart Johnson (04:51):
It was daytime at night. Like the lights were so bright.

Dan Meyer (04:54):
The City of Lights.

Bethany Lockhart Johnson (04:55):
There was a movie premiere outside my hotel room, which I was not invited to, unfortunately. But so what are we doing today?

Dan Meyer (05:01):
So here’s what we’re doing. We are gonna settle, once and for all, a question you have not asked yourself yet, perhaps, but will want to know the answer to in a moment. Which is: Who is the best teacher in all of film or television? OK? We’re gonna do that. It’ll be fun. But I hope that in debating this a little bit with a special guest we’ll bring up in a moment, that we will start to uncover some truths about what makes good teaching. How that’s different from teaching as we see it in movies and tv. Why middle-class America wants teachers to look a certain way in movies and tv. What all that means. And it’ll be awesome. I think. I’m hopeful it’ll be awesome. So what we did here is we’ve invited eight people. Eight folks you people may have known. You’ve been in their sessions today, in this conference, perhaps. And asked them: Who’s your fave? Like, we might have our favorites, but we wanted to democratize it a bit. So asked some cool people who you folks like, who are very smart and thoughtful about teaching: Who’s your favorite teacher?

Bethany Lockhart Johnson (05:58):
A few of whom are in this room. Thank you for your submission.

Dan Meyer (06:00):
Thank so much. Yeah. We’ll see what happens here. <laugh>

Bethany Lockhart Johnson (06:03):
As they shrink down.

Dan Meyer (06:03):
Yeah. Might draw some blood that I don’t mean to right now. We’ll see. OK.

Bethany Lockhart Johnson (06:06):
That metaphor, what IS that??

Dan Meyer (06:07):
Yeah. Yeah. I love it. I’m still going with it. <laugh> And you folks will be a huge part of this. THE part of this, really. So what will happen is I’ll share with you our first nominees. A few of us will make a case for our favorites, or least favorites, as the case may be sometimes. And then by applause, by acclamation, you folks will decide who wins and advances to the next round. Start with eight, move to four. You folks know math.You know where this goes. OK.

Bethany Lockhart Johnson (06:34):
No, keep going. Keep going.

Dan Meyer (06:36):
Two, then one.

Bethany Lockhart Johnson (06:36):
Yeah. Got it.

Dan Meyer (06:37):
Then a half of it. No?

Bethany Lockhart Johnson (06:38):
He had to school me on the making of brackets. But we got it. Yeah.

Dan Meyer (06:41):
How brackets work.

Bethany Lockhart Johnson (06:41):
But we got it. March Madness, what?

Dan Meyer (06:44):
Yeah, in order to do this right, we had to bring up—all the folks that you’ll see are also former Math Teacher Lounge guests, or like, just fan favorites. And we’re also bringing up a former Math Teacher Lounge guest to help us decide this and debate this in a respectful manner.

Bethany Lockhart Johnson (06:59):
New dad.

Dan Meyer (07:00):
New dad.

Bethany Lockhart Johnson (07:01):
You see where my brain’s still at? I miss him. <Laughs>

Dan Meyer (07:03):
Friend from San Diego. Really cool teacher.

Bethany Lockhart Johnson (07:06):
Incredible teacher.

Dan Meyer (07:06):
Works at Desmos and Amplify. And I just want you to welcome up your friend and mine. Chris Nho!

Bethany Lockhart Johnson (07:11):
Chris Nho!

Dan Meyer (07:13):
Come up, Chris. Let’s go, buddy. We didn’t talk about it, but did you want to do the cornball stuff too?

Chris Nho (07:22):
Wow. Would I love to do—

Bethany Lockhart Johnson (07:23):
And then the door could be locked! And then you have to wait and like, just—

Chris Nho (07:27):
Yeah, I’ll skip that part.

Bethany Lockhart Johnson (07:28):
Hi. Welcome. You’re here. We’re here in person.

Chris Nho (07:30):
Very glad to be here. Thank you all for having me.

Dan Meyer (07:33):
Tell me who you are.

Chris Nho (07:34):
My name is Chris Nho. I live in San Diego. I’m a new dad. A three month old, just had. Yeah, she’s actually here at the conference with us in the hotel room. And I promise you she is not by herself. She is with…come on. I was like, “Hey, just gimme one hour. I’ll be right back. I have to do very important work.” But yeah, I think I got invited here because I have opinions and I’m willing to draw…some…blood.

Dan Meyer (08:02):
There we go! Two outta three! We’re good on the metaphor now.

Bethany Lockhart Johnson (08:06):
We’re so glad you’re here. If you haven’t listened to the episode where Chris and Molly and some other public math folks share their ideas and ideas of how to take math out into the world, please listen, because we had a blast.

Dan Meyer (08:19):
Inspiring work. Really inspiring work. Very cool. Cool. OK. Right on. OK.

Bethany Lockhart Johnson (08:23):
Let’s do this!

Dan Meyer (08:24):
Let’s get started here. Yeah! <Audience cheers> Yeah. And we might ask you who your favorite teacher is, who’s missing from our list of eight? We might have forgotten some people. Anyway. All right. So here’s our first two. Our first two are nominated by way of, let’s see, um, Mandy Jansen is a professor at the University of Delaware. Got some awesome talks here this week, a Shadow Con talk last night. She’ll be nominating one. And also, um, Lani Horn is a professor at Vanderbilt, also extremely cool, prolific author and speaker, just all-around great human and friend of teachers everywhere. And she’ll nominate another in this bracket, which is the Northeastern Comedy bracket, Northeastern comedy bracket.

Bethany Lockhart Johnson (09:06):
It just worked out that way.

Dan Meyer (09:07):
Yeah. Here it is. Here is Tina Fey in Mean Girls.

Tina Fey in Mean Girls (09:12):
“OK. Everybody close your eyes. All right. I want you to raise your hand if you have ever had a girl say something bad about you behind your back. Open your eyes. Now close your eyes again. And this time I want you to raise your hand if you have ever said anything about a friend behind her back. Open up. It’s been some girl-on-girl crime here.”

Lani Horn (09:52):
I am nominating Sharon Norbury from Mean Girls as the best movie math teacher. She is an awesome teacher who is always there for her kids. She always sees the best in them. She shows that she can forgive even some pretty bad behavior, if she sees that kids are trying. She’s a strong feminist who makes sure that smart girls don’t dumb themselves down just to impress boys.

Tina Fey in Mean Girls (10:22):
“Katie, I know that having a boyfriend may seem like the most important thing in the world right now, but you don’t have to dumb yourself down to get guys to like you.”

Lani Horn (10:30):
She’s also super hard-working. She works three jobs. She’s always there for the kids. She plays piano in the talent show and takes them to Mathlete competitions. And she’s also socially aware. And when things go really badly among the girls, she does some pretty creative things to try to get them to be kinder to each other.

Dan Meyer (10:54):
OK. That’s one.

Bethany Lockhart Johnson (10:55):
Helen Case.

Dan Meyer (10:57):
All right. Settle down. Settle down. Settle down. All right.

Bethany Lockhart Johnson (10:59):
Piano too!

Dan Meyer (11:00):
Bethany’s already trying to bias people here. All right. Chill out. Hold on. So next one is Mandy Jansen with Jack Black from School of Rock. Uh-oh. Uh-oh.

Jack Black in School of Rock (11:09):
“What was your name?”

Kid in School of Rock (11:10):
“Katie.”

Jack Black in School of Rock (11:11):
“Katie. What was that thing you were playing today? The big thing.”

Kid in School of Rock (11:14):
“Cello.”

Jack Black in School of Rock (11:15):
“OK. This is a bass guitar and it’s the exact same thing, but instead of playing like this, you tip it on the side. Chellooooo! You’ve got a bass! <Laugh> Try it on.”

Mandy Jansen (11:25):
And I’m nominating for best teacher in a film Jack Black as Dewey Finn playing Mr. Ned Schneebly in the film School of Rock. So why this portrayal? First of all, playing a longterm sub. Those are so hard to find right now. <Audience laughs> Really hard. And then he teaches using class projects. That’s brilliant. Integrated learning. And then love this. He gives students roles and tasks that are differentiated and align to the specific strengths that each student has.

Kid 2 in School of Rock (12:05):
“I can also play clarinet, you know!”

Jack Black in School of Rock (12:06):
“I’ll find something for you when we get back from lunch. I’ll assign the rest of you killer positions.”

Mandy Jansen (12:13):
And the film culminates in a performance of a collaborative song that they all wrote and performed together. And the students experience that collaboration and teamwork and creating something beautiful is much more important than winning first place. And finally, one of the songs that the character sings in the film is “Math is a Wonderful Thing.” Can’t beat that.

Dan Meyer (12:40):
All right. That’s tough. That’s tough. So here’s the deal. What we have right now is just a quick minute—so Bethany, you ranked, we all ranked our own faves here outta the list of eight. And Bethany put Jack Black in School of Rock a bit higher than Tina Fey in Mean Girls.

Bethany Lockhart Johnson (12:54):
Missed the piano part though.

Dan Meyer (12:55):
And Chris, vice versa here. So Bethany, would you start us off and just make a quick case here for Jack Black versus Tina Fey?

Bethany Lockhart Johnson (13:01):
OK. So here’s what I’m thinking. There’s been rumor that maybe they’re putting less than credentialed people into classrooms to fill teaching gaps. I mean, just rumor. And so here’s this guy who is a rocker. He is not a substitute. He has no teaching training. And yet he goes in there and it turns out that he has the ability to see students’ potential and to recognize their unique abilities. And like Mandy said, he really tapped into, like, he saw them and said, “No, more is possible for you than what you think is possible.” And there’s like real sub anxiety. When you walk in, you can either be like, happy there’s a sub, but I was usually really nervous. Right? And he goes in and he makes that classroom into a home.

Dan Meyer (13:53):
Wow.

Chris Nho (13:54):
Wow.

Dan Meyer (13:56):
Chris, speak on it. Tina Fey needs you. Chris.

Chris Nho (13:59):
Tina Fey. Here we go. I’m gonna argue here that—when was that movie made?

Dan Meyer (14:03):
T is for terrific. I is for Interesting.

Chris Nho (14:06):
Decades ago. And I’m gonna argue that Tina Fey was very progressive for her time. OK, let’s talk about social emotional learning. Hello. <Audience laughs> Love that. Right? Stand up if, I mean, she’s getting people to talk about their emotions. And there’s a curriculum. But let’s just pause, because that’s not what’s really happening in the classroom right now. So social emotional learning, I think she’s, she’s got that a lot. And then number two, you know, if you remember the plot of Mean Girls a little bit, she gets her name written in that Burn Book. Like she sees what they say about her. Restorative justice. Let’s go. <Audience laughs>.

Dan Meyer (14:38):
Whom amongst us. Yes.

Chris Nho (14:40):
You write Mr. Nho in the Burn Book?? Well, your grade book is gonna look like a Burn Book! OK? <Audience laughs> Tina Fey, Tina Fey, she was like, “No, you know, know what? I’m actually gonna spend more time with you. You’re gonna become a mathlete.” And Lindsay Lohan discovers—she drops the most iconic line in all of math education. “The limit does not exist.” Thank you, Tina Fey, for that. For that gift.

Dan Meyer (15:04):
Bless. Bless you. Tina Fey. Wow.

Bethany Lockhart Johnson (15:05):
Oh, man. Wow.

Dan Meyer (15:09):
Let’s see what the people say here. I do wanna just add one quick thing about—it’s interesting to me how often in these movies—just kind of go in a little bit, zoom out just a minute—how often it’s a teacher who has no training as a teacher. <Bethany laughs> I am kind of curious why it is. Like, those are the movies that get hot, that get made. Again, these are all kind of a mirror of the taste of the moviegoing public. You know what I’m saying? Like, these, these are not movies—I wanna believe they are made for me and for us as teachers. But they are not. There’s not enough of us to justify, you know, Jack Black’s, you know, M&M budget or whatever he’s got going on in his trailer or whatever. That needs to be for everybody in middle-class America. So what is it about middle-class America that wants to see teaching as something that anybody can do? Just like, you know, just, just run up there in your van and make it happen.

Bethany Lockhart Johnson (15:54):
Magic magically manifests.

Dan Meyer (15:56):
Yeah. Manifest. Yeah. That’s just interesting to me. I just toss that out there as some red meat. Let’s see what the people say here. All right, OK, so you’re ready. Let’s get the bracket going here. The question is Tina Fey versus Jack Black. You had a moment here. Just whisper to someone real fast who you’re going for here real quick. What are you thinking here? <Crowd murmuring> All right. Crowd’s buzzing. Crowd’s buzzing. Would you folks…? All right. Bring it back. Go ahead and make some noise for Tina Fey. <Crowd cheers> OK. OK. Make some noise for Jack Black! <Crowd cheers> Judges say Tina Fey. Tina Fey moves on. All right. All right.

Chris Nho (16:44):
Stunned. I’m stunned. I’m speechless.

Bethany Lockhart Johnson (16:46):
Tina Fey moves on. Wow.

Dan Meyer (16:48):
This has exceeded my expectations in terms of having some fun, but also getting deep, getting deep and real about teaching. I’m into this right here. Yeah. What’s up?

Bethany Lockhart Johnson (16:54):
That’s the goal. That’s the goal. OK. You wanted blood? Oooh, this next matchup might just be where that blood comes forth! OK. Stretch. Warm up. Dan Meyer, who’s up next?

Dan Meyer (17:11):
We’ve got the animated/animatronic round here in the Southeast. And repping the two contestants here, who do we have? We have Allison Hintz, professor, author outta Washington, as one of the two nominators. And the other nominator is one of my heroes, though we’ll find out very wrong about this nomination, Jenna Laib, who’s in the crowd, and I’m trying not to make eye contact here. <Laugh> And here are the two nominations. A couple minutes each. And then we’ll chat about it. And one of us will probably die. But we’ll see how it goes.

Allison Hintz (17:50):
A long, long time ago, in a galaxy far, far away, MTL, we began learning from the Jedi Master of Teaching. With the Socratic and experiential approach. With unparalleled mindfulness, compassion, and humility. The best teacher in TV and film, Yoda is. <Audience laughs> Yoda lives the values we share as teachers and learners. He humbly comes alongside us as we construct new knowledge.

Yoda (18:29):
“You must unlearn what you have learned.”

Allison Hintz (18:32):
Yoda allows us to struggle and sees mistakes as critical to learning.

Yoda (18:39):
“The greatest teacher, failure is.”

Allison Hintz (18:43):
Yoda values curiosity and reminds us of the beauty and joy of teachers learning from children.

Yoda (18:52):
“Truly wonderful, the mind of a child is.”

Allison Hintz (18:59):
MTL! Join the Resistance! Let the force flow through you in declaring, the best teacher in TV and film, Yoda is.

Dan Meyer (19:18):
Give it up for Allison Hintz! All right! <Audience applauds>

Bethany Lockhart Johnson (19:20):
Alison! And to have that on hand too, which Is kind of perfect.

Bethany Lockhart Johnson (19:26):
Just to be clear, the helmet is not a part of a Zoom background.

Dan Meyer (19:29):
You may evaluate the quality of the nomination based on the costumes of the nominator. That is acceptable. That’s acceptable.

Bethany Lockhart Johnson (19:35):
That is a REAL HELMET.

Dan Meyer (19:35):
All right. The next nominator here, this one is from Jenna Laib, math coach, all-around stellar human. Here we go. This is Ms. Frizzle.

Ms. Frizzle (19:42):
“Single file, class. Our rotten field trip has only just begun.”

Jenna Laib (19:47):
And I think that the best teacher from TV or movies is Ms .Valerie Frizzle from The Magic School Bus. First and foremost, Ms. Frizzle believes in her students. She encourages them to take an active role in their learning, and also to advocate for change in their local community. For example, there’s an episode where there is a logger who’s gonna cut down a rotting log that would benefit the local ecosystem. And the students figure out a way to convince him to leave the log so that all of the animals and the plant life can benefit. She orchestrates really challenging situations for these students, and she allows them the space to ask questions and engage in problem-solving and puzzle their way out of these really, really difficult scenarios. Ms. Frizzle has unmatched pedagogy. She’s bold, she’s innovative, and she’s a major proponent of experiential learning. So these students are heading straight into a storm to learn about weather systems. <Audience laughs> These students are heading into the human body to learn about digestion and disease. They literally get baked into a cake to learn about some chemistry and reactions.

Children in The Magic School Bus (20:54):
“What’s happening?” <Audience laughs> “Why is it suddenly getting so hot?” “Maybe it’s because the floor is on fire!” <Audience laughs>

Jenna Laib (21:02):
This pedagogy is all led by her outstanding catchphrase, which is:

Ms. Frizzle (21:06):
“Take chances; make mistakes; get messy!”

Jenna Laib (21:14):
From her pedagogy to the classroom community that she creates, Ms. Frizzle is an inspiration, and that is why I think that she is the best teacher from TV or film. <Audience applauds>

Dan Meyer (21:25):
Right on! Give it up for Jenna. Give it up for Jenna. All right. I’m gonna take first pass at this. Chris knows my argument already, so I’m gonna take this here. I see some of you are feeling how I’m feeling on this one. OK, so I don’t have tons to say in favor of Yoda. I think it was all true what Allison said. I think the costume was banging. It was awesome. So there’s all that, but I have more to say against Ms. Frizzle than for Yoda.

Bethany Lockhart Johnson (21:48):
No, no, no. Wait a second!

Bethany Lockhart Johnson (21:49):
Let’s let it happen. Bethany, I’ve come prepared.

Dan Meyer (21:54):
I may have made a misstep here, I realize.

Bethany Lockhart Johnson (21:56):
I’ve come prepared.

Dan Meyer (21:56):
So I think Jenna is all correct. I think those clips spoke for themselves. I think that what they add up to, to me, is not “great teacher,” but more “someone who should be locked up.” <Audience laughs> Or at the very minimum, “someone who should be kept away from children.” <Audience laughs> Do not let that woman around children. I mean, check it out. Look, I don’t wanna throw down credentials. I’ve been to grad school, though. I know how this works. When your brain is stressed, you get these—all the cortisol happens. Your working memory shrinks up. You cannot learn when you’re stressed. And those kids, like whatever lesson Ms. Frizzle is teaching by sending them into an oven, I repeat, an oven <audience laughs>, like, they’re not gonna learn anything ’cause their brains are freaking out with stress and fear. OK?

Bethany Lockhart Johnson (22:41):
“What’s happening??”

Dan Meyer (22:43):
“What’s happening? Am I on fire? Well…I’m learning lots, though! Sure is magical!” <Audience laughs> It’s like, “No. Get that woman out of a classroom.” That’s my opening and closing argument. Right? There’s all it is.

Chris Nho (23:01):
All right. All right. All right.

Bethany Lockhart Johnson (23:02):
Chris knows.

Chris Nho (23:03):
I’ve got, I’ve got lots to say. First off, I think Dan was in charge of the editing of those video clips. So let’s let that be—you know, let the record stand. <Audience laughs>

Dan Meyer (23:11):
Where’s the lie though? Where’s the lie?

Chris Nho (23:14):
And, you know, second, I think, um—this is the guy up here saying, “I wanna see blood.” You know? And then he has a teacher who literally takes the students into a blood cell and, and you get a little scared! You get a little worried for the students, you know? So I just don’t get it, Dan. This or that. OK? I think Ms. Frizzle—so I actually went to a project-based learning school. I taught at a project-based learning school. And the best thing about it is like, your learning, it doesn’t just stay in this box of math lesson or writing lesson, history lesson. And I think with Ms. Frizzle, like you can’t help but learn things because you are getting baked in a cake. <Audience laughs> Yeah, it is a little scary. And I imagine there’s cortisol and things happening, but guess what? Probably the next episode, they go into their own brains and explore what’s happening. That kind of thing. You know?

Dan Meyer (24:07):
The kids that survived, just be clear. <Audience laughs>

Chris Nho (24:10):
Yeah. OK. Would I want Nora, my three-month-old, to be babysat by Ms. Frizzle? Maybe not. <Audience laughs> But what I have to say about Yoda is Yoda maybe wins the best tutor award. Give it up for Yoda’s Best Tutor Award.

Bethany Lockhart Johnson (24:24):
Oh, yeah…

Chris Nho (24:25):
That ratio’s looking really nice. I could teach the heck outta Luke Skywalker. OK? But 20 little Luke Skywalkers running around. I’m not sure. OK?

Dan Meyer (24:34):
Luke did survive the training, though. <Audience laughs> So that’s awfully nice to say about it. All right, Great words from Chris here. I’m still not convinced. We’ll see how you’re convinced here. Would you whisper to someone where you’re leaning here? Frizzle or Yoda? <Audience buzzing>

Chris Nho (24:47):
I tried. I tried.

Dan Meyer (24:53):
All right. That’s enough of that. Let’s hear it folks. Give it up for Yoda. <Audience cheers> Give it up. Give it up. You. Give. It. Up.

Chris Nho (25:05):
Hey, next. Next.

Dan Meyer (25:06):
All right. All right, all right. <Mutters> Give it up for Ms. Frizzle. <Audience cheers louder> I dunno, it’s pretty close. Call a tie. Maybe Yoda? Yoda by nose? <Audience laughs> All right. All right. Let’s…let me see who’s it. Let’s get the people advancing here. I’ll keep on moving here.

Chris Nho (25:26):
As you’re doing that. Um, Dan ranked Ms. Frizzle last in his personal ranking. And I ranked Ms. Frizzle very high, so we knew this one would be spicy,

Bethany Lockhart Johnson (25:36):
<laugh> Spicy it was. Are you having a good time so far? <Audience cheers> So while we love seeing these images and we love seeing these video clips, at the core, what are these things about how teachers are portrayed? And how accurate is that to our real lives? I mean, besides the cake part, right? That my chemistry class did often feel like I was on fire. I was so stressed in it. Um, we’re ready?

Dan Meyer (26:05):
Yep. Great. We’re ready, we’re up here. So the next two nominees are coming to you folks from Tracy Zager, who is the editor of my book, forthcoming in 2027 at the earliest and 2032 at the latest. And also your very own Zak Champagne from Florida, here in the room. Hey, Zak. Zak, let’s see who the nominations are. I’m gonna skip past that, didn’t work out so well for me. Here it is. This is Marshall Kane from the TV show Community.

Michael K. Williams in Community (26:32):
“You two complete your case to the class and let them decide your grades.”

Joel McHale in Community (26:37):
“Professor, thank you.”

Michael K. Williams in Community (26:40):
“It’s not a favor, Mr. Winger. Man’s gotta have a code.”

Joel McHale in Community (26:44):
“Awesome.”

Zak Champagne (26:46):
This is a pitch for an underdog. This teacher didn’t stand on desks or encourage his students to follow their musical passions. In fact, this teacher was seen only in a few episodes of my favorite TV show of all time, Community, Community has set at Greendale Community College in Colorado. And in season three, we get to meet Dr. Marshall Kane, a biology professor whose story is an inspiration to anyone who just takes the time to look and listen. Dr. Marshall Kane slowly earned his PhD while in prison, serving a sentence of 25 to life. In his classroom, he inspires students to love biology, question why LEGO has become so complicated, and randomly pairs his students for group projects to ensure no one feels left out. His greatest performance comes when a group of students believe their yam project was intentionally sabotaged. Dr. Kane took this as an opportunity for some trans-disciplinary real-world learning. So yes, at community college, he felt that a middle-school mock trial was the best way to determine who killed the yam. So let’s all pick the underdog and vote for Dr. Marshall Kane. After all, man’s gotta have a code. <Audience goes “oh!” and applauds>

Dan Meyer (27:53):
Thank you, Zak.

Bethany Lockhart Johnson (27:54):
I have a code.

Dan Meyer (27:56):
Next up is Tracy Zager, nominating an unusual nomination, not a single person, but an ensemble performance. A bunch of people from a movie called Searching for Bobby Fisher. Here we go.

Rapid-fire movie dialogue (28:11):
“What’s that?” “Schleimann attack.” “Schleimann attack? Where’d you learn that from, a book?” “No, my teacher taught me.” “Aw, your teacher. Well, forget it. Play like you used to, from the gut. Get your pawns rolling on the queen’s side.”

Tracy Zager (28:26):
Hey, Math Teacher Lounge. This is Tracy Zager. I’m excited to share my nominee for the best movie teacher. But I have to admit that when I first got the email, I thought, oh, who am I gonna nominate? Because most movies about teachers are highly problematic. They usually have like a saviorism thing, usually white saviors. And I just felt like I couldn’t suggest any of those. So rather than nominate a movie about a single teacher, I wanted to nominate a movie that taught me something about teaching. And that movie is a deep cut. It’s Searching for Bobby Fischer. It’s a movie about a chess prodigy. And what I love about it is that all of the different adults in the movie are in teacher roles in some way. And the student, Josh, the chess player, is a fully realized character, not an empty pail, who pulls from the strengths of each one of those adults while also dealing with their flaws and humanity. And there’s just beautiful synergy in the way he gets the best out of everybody, but also has to overcome some of the barriers that they put in front of him. So I feel like it’s a much more authentic and humbling, but also inspiring, movie about the power of teaching. So if you haven’t ever seen it, check it out. And I can’t wait to see who the other nominees are. Thanks so much.

Dan Meyer (29:53):
Right on. Thank you, Tracy. Wherever you are. <Applause> We’ll move a little quicker here. I’m curious, Bethany, you put Marshall Kane pretty high. I put Bobby Fischer pretty high. What do you have to say about Marshall Kane for us here?

Bethany Lockhart Johnson (30:04):
Well, I just wanna say two things. One is that, like Zak said, he has this code of conduct that he brings in. And he stays true to it no matter what happens. If you saw him in in Community, you know that he held himself up to such high esteem, but not just himself, his students as well. And he took accountability when he felt he had done wrong, even though, well, that’s controversy. But first—oh, the other thing, rest in peace, Michael K. Williams. Oh my gosh. The actor who plays Marshall K. And the thing that I wanna say most of all about it is that he brings his whole self to the classroom. He was in prison for decades. He brings his whole self and says, “This is who I was. This is who I am today. And this is how we can work together as a community.”

Dan Meyer (30:58):
That’s big. I love your comments about code of conduct too. It makes me wish that Ms. Frizzle had a code of conduct also.

Bethany Lockhart Johnson (31:05):
I knew that was coming back!

Chris Nho (31:06):
Two slides ago, Dan. That was two slides ago.

Dan Meyer (31:08):
Can’t let it go. So yeah, I love what you said there. I have no strong beef here either way. Bobby Fischer’s a movie I have loved dearly and can’t be objective about it. I love that the kid in that movie, more than any other movie here, the kid teaches the adults so much through his innocence and how he challenges them and how they’re treating him. Dig all that so much. Will not, will not begrudge anyone any vote either way here. I do begrudge many of you your vote in previous rounds. <Audience laughs> So let’s just, let’s hear. We’re not gonna ask you folks at all to chitchat. We’re gonna move on this one. So would you folks make some noise here for Marshall Kane in Community? OK. OK. And would you make some noise here for Bobby Fischer, the kid in Bobby Fischer, the ensemble? <Audience cheers, applauds>

Bethany Lockhart Johnson (31:56):
Marshall Kane.

Dan Meyer (31:57):
Marshall Kane takes it. All right. Good job, Marshall Kane! All right. Zak’s feeling good. Moving on to the final four here, Zak, right on. OK. Our last—the Northwest Division here is also the large urban district division here. We have a couple different teachers in sets of large urban schools. They’re nominated, they’re advanced by a couple people here. One is past president of NCTM, Robert Berry. And another is Fawn Nguyen, Southern California phenom. Great teacher and friend of lots of us. Um, let’s see who they nominated here. First from Robert Berry, let’s see, who is it here? Janine Teagues from Abbott Elementary.

Abbott Elementary dialogue (32:37):
“Hey, you know what? I’m probably probably gonna be Kenny’s second-grade teacher. Why don’t you just let him get a head start with me today?” “That’d be great.” “Yeah? OK. Hey, Kenny, would you like to be in my group today?” “Not really.” “That’s the spirit.”

Robert Berry (32:54):
My nomination is gonna be Quinta Brunson, the Emmy Award-winning Quinta Brunson from Abbott Elementary. Janine Teagues is the character. She exemplifies care not only from an affect way, but she also exemplifies care in the things that she does for her students. While the scenes in the show are entertaining, they do represent the challenges that teachers experience when they’re trying to meet the needs of her students. So she goes, goes all out for her students and finding resources. She accesses other people to get resources for her students. But the care shows up in the way that she is mindful of their needs. And so, for me, when I think about teachers and teaching, sometimes we can talk about pedagogy, but sometimes we also can talk about those kind of intangibles that makes a teacher a great teacher. It is apparent from her students that she cares about them, she supports them, and she goes all out 100% for her students. Janine Teagues, Quinta Brunson is, I think, is my choice of the best teacher on television because of the realism and the representation that she brings to this character of what teaching is about. <Applause>

Dan Meyer (34:28):
Right on. Right on. OK. OK. Next up, we’ve got, Fawn Nguyen is nominating Erin Gruwell from Freedom Writers. Here we go.

Hilary Swank in Freedom Writers movie (34:39):
“Look, you can either sit in your seats reading those workbooks or you can play a game. Either way, you’re in here till the bell rings. OK? This is called the Line Game. I’m gonna ask you a question. If that question applies to you, you step onto the line and then step back away for the next question. Easy, right? The first question. How many of you have the new Snoop Dog album? <kids move around> OK, back away. Next question. How many of you have seen Boys in the Hood?”

Fawn Nguyen (35:26):
We all learn about Miss G and her 150 students in the movie Freedom Writers starring Hilary Swank. All great teachers share a common set of traits. They care deeply about their students, have high expectations of them, and always believing wholeheartedly that they will succeed. Great teachers go above and beyond, not because they extraordinary—as Anne Gruwell would always refer to herself as an ordinary teacher—but because extraordinary things happen to people when we believe in them, give them hope, help them write their own story with a different ending. So what stood out for me with Miss G is the scope of her reach, the ever-expanding sphere of her humanity. The red tape she had placed on the classroom floor for the line game shows just how much we all have in common despite our differences. Her students didn’t just learn from her; they learned from one another. If you’d like to be part of this expanding sphere to give voice and hope, please check out Freedom Writers Foundation dot org.

Dan Meyer (36:38):
OK. This right here is a tough one for us. Thank you, Fawn. We collectively ranked—that’s our number one seed and number eight seed, which I hasten to say does not have to do with Erin Gruwell, a person, but the portrayal and the movie. So we don’t have like a whole lot of…there’s not a lot of defense we have to offer here of our eighth seed. And I heard like a kind of a little bit of a murmur over the crowd on Erin Gruwell. So I’m more interested than having a defense back and forth. I’d be curious what you, Bethany, think about what, like, what both movies have to say about like, what teaching is, especially teaching urban schools with black and brown kids and lower-class kids, for instance. They both have, I think, very different things to say about them. Do you have thoughts about that?

Bethany Lockhart Johnson (37:19):
Well, it’s interesting because there is some overlap in the sense that the arguments that both Fawn and Robert Berry put out, they both care deeply about their students, right? We’re not gonna argue that. They care deeply. And something that I would say about Miss Teagues is there’s something about the way that she sees not only her classroom, her students, but she sees all of the students in the school as her students. And her idea of resource generation is really helping the teachers to generate resources from their community themselves, and to also realize that the students see themselves reflected in the teachers. And I think that—you know, again, this is not about the real person—but the movie portrayal, and we often see kind of this, for Freedom Writers, we often see this like, Great Last Hope whisked in and her personal sacrifices are what makes these students, these brown and black students’ transformation possible. Because of her sacrifices. Including her marriage. Including, you know, three jobs. And it’s just portrayed in a way that I think really celebrates her sacrifices rather than what the students have already brought—they already come into the room bringing so much as they are, already, without her intervention.

Dan Meyer (38:38):
I love the portrayal of the teacher as part of a community of teachers. Versus in so many of these movies, it’s the teacher as the only person who gets it, you know, oftentimes coming from outside of the world of teaching and everyone’s against them and wants ’em just to fall in line and do the thing we always do, and they’re the outlier. But in Abbott Elementary, it’s like we all rise and we fall together. And teachers are investing in each other’s success, especially with Gregory the longterm sub. We’re all rooting for his, you know, his flourishing. I love that. And yeah. That’s bigtime.

Chris Nho (39:09):
Yeah, I think one interesting thing is that Freedom Writers, when it came out, I think it was like a commercial success.

Bethany Lockhart Johnson (39:17):
Oh, big time. Yeah. It was.

Chris Nho (39:18):
It probably influenced a lot of people to try teaching out. So I do wonder what it says about us, right? Like that we want teaching to fit this narrative, and we wanna be those people who could go into a classroom and <puts on “cool voice”> “Y’all listen to Snoop Dog?” and just have that question HIT. <laughter> And you know, I’ve taught in a large urban school district, and I’ve been that person and I’ve seen other people try and be that person. And I think stepping away from it a little bit, just—it’s a reflection of what people want out of teaching and what they think better education looks like.

Dan Meyer (39:57):
Yeah, yeah. This idea that, so I’m a middle-class person, let’s say, and like, there’s this idea, like, “I know what I would do if I was going into circumstances of impoverishment.” Like I have—

Bethany Lockhart Johnson (40:06):
“All they really need is…”

Dan Meyer (40:07):
…for me to give ’em some real talk and tell ’em, you know, pull their pants up or whatever, listen to Snoop Dog, that kind of thing. And that will be the key. And that’s not how it is in, you know, in Jack Black in School of Rock or Tina Fey school, which are, you know, coded as largely like upper-class or largely white schools. And in those movies, it’s interesting, like how it’s about students discovering themselves, oftentimes. And the central figures are often students. And the students need to reject an oppressive parent figure or something and find themselves. But no, in Freedom Writers, it’s like, “You need to become more like the middle-class teachers who are coming in here to give you this wisdom.” It’s just interesting. I do find it—a pet peeve of mine is when movies portray teachers as only successful if you endure, for instance, the failure of your marriage, or even in Stand and Deliver, for instance, like Jaime Escalante, they depict him having a heart attack. And, like, the job oughta be…easier. <Audience laughs>

Chris Nho (41:04):
Truth.

Bethany Lockhart Johnson (41:05):
That’s the barometer for how much….

Dan Meyer (41:09):
Like, no heart attacks and no divorces related to the job, that kind of thing. I do love how in Abbott—one last thing and we’ll vote and Abbott will win <audience laughs>—is like how, like there, there is a lot of degradation in Abbott, but it’s not a divorce or a heart attack—it’s the petty indignities of asking a student, “Do you wanna hang with me?” And a student says, “Nah, not really.” And that just spoke to me like how it’s not cinematic, but teaching, successful teaching, is like a collection of developing an immunity to students saying, “You’re not hot.” <Laugh> You know? And so I love that. I do wish that there was more depiction of students in Abbott Elementary. It’s a lot of adult stuff. Whatever. Give it up for Abbott, if you would, please. Let’s just get this done here. All right. That’s plenty. That’s plenty. Not gonna ask folks about Freedom Writers. OK, let’s move on to— all right, let’s hear it for Freedom Writers! Yeah. OK, cool. We go, yep.

Chris Nho (42:05):
Plot twist!

Bethany Lockhart Johnson (42:07):
OK, let’s see our final four. Cut and paste. Real time. Real time.

Audience member (42:12):
Where’s Dolores Umbridge?

Dan Meyer (42:14):
Oh….

Bethany Lockhart Johnson (42:16):
Hey, did you hear that? He said, “Where’s Dolores Umbridge?”

Dan Meyer (42:20):
All right. OK.

Bethany Lockhart Johnson (42:20):
See, we missed so many. We could…

Dan Meyer (42:21):
So coming up here, we’ve got in the Eastern Conference, Tina Fey and Ms. Frizzle. Y’all know how I feel about that one. Let’s just get this one done. OK, let’s give it up for Tina Fey. Let’s hear it. <Audience cheers> OK. All right. Yes! Let’s give it up for menace to children everywhere, the terror, the Ms. Frizzle. <Audience cheers> One more time for Tina Fey. Let’s hear it. <Audience cheers> One more time for Ms. Frizzle. Let’s hear it. <Audience cheers>

Bethany Lockhart Johnson (42:59):
Yeah. OK.

Dan Meyer (43:00):
It took ’em one round, but they made the right call in the end. <Laugh>

Chris Nho (43:04):
All it took was 10 minutes of constant Ms. Frizzle-bashing. <Laugh>

Dan Meyer (43:09):
Persevering and problem-solving, that’s my game. Yes. All right. So, do either of you want to influence the audience one way or the other?

Bethany Lockhart Johnson (43:16):
That’s not how I play, Dan.

Dan Meyer (43:18):
Oh, OK. Yeah, that’s true. That’s true. You’re good. On Abbott versus Marshall Kane, should we just let ’em have it? All right. All right. Give it up For Abbott Elementary. Not bad. And for Marshall Kane. OK. OK. I hear Zak and five other people. All right, cool. <laugh> Right on. All right. We got our, we got our finals,

Bethany Lockhart Johnson (43:45):
We did it. We made it to two. And we know: We left out a lot of people. Right? And honestly, I kind of wish we could poll like everyone. I mean, think you put it on Twitter, right? Like, who would you pick? But I would say we had a pretty solid eight there. I’m excited to see who… Look at the little crown he put, you guys. Come on.

Dan Meyer (44:05):
I worked hard for you. For you. <Laugh> Yeah. I liked that it was a good bunch that had a lot of different kinds of qualities…and lack of qualities in some cases. And it allowed us that—I shouldn’t knock her while she’s down, and she IS down, it’s true. <Laugh> And I appreciate the conversation we’ve had, what they have revealed overall about teaching and what the world wants teaching to be versus what it actually is or actually should be. I appreciate that. So let’s settle this here. Give it up, if you would, for Abbott Elementary. <Audience cheers> And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (44:49):
Wow.

Dan Meyer (44:51):
That was close. I almost give that to Tina Fey.

Audience member (44:55):
Yeah, we do!

Dan Meyer (44:55):
I don’t know. That was a bracket-buster for me right there. Yeah. I lost money in the office pool off that right there. Maybe let’s just find out one more time here. One more time.

Bethany Lockhart Johnson (45:03):
Last time.

Dan Meyer (45:03):
Time to summon up all your conviction on one or the other here. No half-measures right now. All right.

Bethany Lockhart Johnson (45:07):
Emmy Award-winning Quinta Brunson.

Dan Meyer (45:09):
Yeah, you saw Robert Berry on that, right? He was like, “Oh, I got one more card to play. Emmy Award-winning.” That’s admissible. That’s admissible. We’ll take that. All right. So…give it up for Abbott Elementary, one last time. <Audience cheers> OK. All right. All right. And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (45:30):
Drumroll, please!

Chris Nho (45:33):
Best teacher is….

Dan Meyer (45:34):
Tina Fey in Mean Girls! Yeah. Not a bad pick.

Bethany Lockhart Johnson (45:39):
I love it. And I think, too, I think we’re gonna have a little bit of a more reflective lens than we thought we did when we see depictions of teachers in film and television. And, you know, hopefully we’ll see some new tropes come in, right?

Dan Meyer (45:55):
Yep. Yeah. Every dollar we spend on movies with lousy teachers is just encouraging these people to make more lousy teacher movies, you know? Awesome. Thank you for being here for a live taping—

Bethany Lockhart Johnson (46:06):
Thank you for being here.

Dan Meyer (46:06):
—of our podcast, Math Teacher Lounge, in a hot room. Appreciate that. Yeah, it’s been fun for us to have you here. Um, super-important, super-important final remark: Bethany loves Oprah and Oprah occasionally, in the show—

Bethany Lockhart Johnson (46:18):
Is she coming?! Is she here?!

Dan Meyer (46:19):
Not here! Not here! Calm down. Calm down. Um, but we do have in Oprah fashion, not something—

Bethany Lockhart Johnson (46:24):
Oh. Oh, OK. Oh, that’s, that’s OK. Sorry. I got, had really excited for a second. As if the Amplify playing cards, The Amplify t-shirts being chucked at you at high speed—I did try to get a t-shirt cannon, and that was quickly ruled out <laugh>. They didn’t know about my rocket arm, right?

Dan Meyer (46:46):
Yeah, you got a cannon. <Laugh>

Bethany Lockhart Johnson (46:47):
Yeah. Oh, that’s a compliment. Oh, is that a compliment? Thank you, Dan. Thank you. Look under your seat because we have five winners. We wanna thank you for being here in person. We wanna thank the folks who are listening. We wanna thank Amplify. Oh my God. Somebody just pulled off the chair tag. You get to take that chair home with you.

Dan Meyer (47:08):
Does anybody have a prize?

Bethany Lockhart Johnson (47:10):
OK, stand up if you…stand up if you…Yes! Stand up if you have one!

Dan Meyer (47:16):
Free set of classroom dry-erase boards, right here. Congratulations.

Bethany Lockhart Johnson (47:22):
And for you who pulled off the chair tag, I don’t know. We gotta we gotta find something for you.

Dan Meyer (47:27):
Put that in your backpack.

Bethany Lockhart Johnson (47:30):
Thank you again for being here. Thank you. Amplify. Thank you, Desmos. Thank you. Dan Meyer.

Dan Meyer (47:36):
Thank you folks. Chris, thank you buddy.

Bethany Lockhart Johnson (47:38):
Chris! Chris Nho, everybody!

Dan Meyer (47:40):
We will be, we will be at—Bethany and I will be at the booth, if you wanna chit-chat and hang out, sign some stuff. Whatever. You wanna have Bethany sign you, she’ll do that. Um, come on down to the Amplify booth and we’ll—

Bethany Lockhart Johnson (47:50):
We’ll talk to you more about Ms. Frizzle.

Dan Meyer (47:52):
Fun and prizes. I will share with my real thoughts about Ms. Frizzle down there. I’d love to see you. Thanks for being here, folks.

Bethany Lockhart Johnson (47:57):
Thanks for listening. Bye.

Stay connected!

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What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer—or don’t offer—now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

A woman with curly hair and glasses smiles outdoors; a man with short dark hair smiles indoors in front of a blurred math teacher lounge, highlighting valuable math teacher resources.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

The power of productive struggle in K–5 math

A cartoon pizza cut into slices with a serving spatula in the center, flanked by colorful shapes and a cartoon animal on the right—an engaging way to spark curiosity about procedural fluency and fluency in math.

Struggling is not necessarily fun. It can be uncomfortable and frustrating. It can even feel like a great reason to give up.

But struggling and learning often go hand in hand. The key is for that struggle to be productive—for it to feel like something you worked through until you were successful, providing the confidence you need to tackle the next hard task.

That’s especially true—and essential—in math learning.

The key is productive struggle: the kind of effort that stretches students’ thinking without shutting them down. When designed intentionally, math activities for elementary students can challenge learners while still supporting confidence, curiosity, and persistence.

Here’s more about how productive struggle helps math students succeed.

What is productive struggle?

Productive struggle refers to students grappling with challenging problems that are not immediately solvable, but still within reach. It’s the space where students test ideas, make mistakes, revise strategies, and slowly build understanding.

Research shows that productive struggle helps learners move beyond surface-level memorization and toward deeper, more durable learning.

Rather than being told exactly what to do, students are encouraged to reason, explain, and persevere.

This doesn’t mean leaving students to flounder. Productive struggle requires clear goals, thoughtful scaffolds, and meaningful tasks so students know what they’re working toward and believe they can get there.

The role of growth mindset in math learning

Productive struggle is closely tied to another key idea: growth mindset.

A growth mindset is the belief that ability comes not from innate, baked-in talent, but through effort, strategies, and learning from mistakes. In the math classroom, this mindset helps students see challenges not as threats, but as opportunities.

When teachers communicate high expectations and normalize mistakes as part of learning, students are more willing to take risks. They begin to stop saying, “I can’t do this math problem,” and start saying, “I’m not there yet.”

This shift matters, especially in elementary grades. Students who develop a growth mindset early may be better equipped to avoid math anxiety and to handle increasingly complex math concepts, because they’ve learned that struggle is not a sign of failure, but part of the process.

Why struggle feels risky—and why it’s worth it

Supporting productive struggle can feel risky for teachers. Classrooms are busy. Time is limited. And no one wants students to feel frustrated or discouraged.

But avoiding struggle altogether creates its own problems. When math activities are too procedural or overly scaffolded, students may complete tasks without truly understanding them. Over time, students may come to believe that math is about following steps rather than making sense of ideas.

By contrast, well-designed struggle builds investment. Students engage more deeply when they’re asked to think, explain, and choose strategies. They develop problem-solving skills, perseverance, confidence, and a stronger sense of ownership over their learning.

What productive struggle looks like in practice

In classrooms that support productive struggle, students are actively involved, even when tasks are challenging. You might hear students explaining their reasoning, comparing strategies, or revising their thinking after a mistake.

Effective math activities for elementary students include:

  • Multiple entry points so all learners can begin.
  • Opportunities for students to explain why their strategy works.
  • Support for more than one correct approach.
  • Clear expectations paired with flexible pathways.

Even in kindergarten math activities, productive struggle for the youngest learners might look like counting, sorting, or representing numbers in different ways, paired with questions that prompt reasoning rather than quick answers.

Students need tasks that are mathematically meaningful, paired with structures that help them persist: opportunities to talk, visual representations, strategic questioning, and time to reflect.

In this way, struggle builds math muscle. Productive struggle helps students feel on top of their math game—and ready to learn more.

Amplify Desmos Math for NYC

Welcome! This site contains supporting resources for the New York City Department of Education Amplify Desmos Math adoption for grade 6–A1.

What’s new?

  • Prepare for 2025–26! Get everything you need to teach Amplify Demos Math with this checklist.
  • Use this guide to learn about the materials included through Core Curriculum purchases.
  • Need help? Check here for who can help! Our dedicated phone number, just for NYC, has team members ready to help! 1-888-960-0380
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About the program

Amplify Desmos Math New York is based on Illustrative Mathematics® IM K–12™ and expands on Desmos Math 6–8 (which received all-green ratings from EdReports) with beautiful print resources, and robust practice, differentiation supports, assessment and reporting. Read the review on EdReports.

Amplify Desmos Math provides:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, collaborative problem-solving experiences both online and off.
  • Real-time insights that make student thinking more transparent.

Program highlights to know about

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Desmos Classroom digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve joined forces with Desmos Classroom to bring this vision to life with a complete library of interactive, collaborative lessons.

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Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows students to see that communicating their ideas and learning from each other are important parts of math class.

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Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine that students have access to this same information. With our collaborative lesson interface and teacher dashboard, students have awareness their own thinking and that of their peers—exposing them to a wider variety of approaches to solving the same problem.

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Ready-to-teach lessons

Each grade level includes 150 ready-to-teach lessons, complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can manage what slides students see, controlling the pace of the lesson to suit the needs of the class.

Planning for instruction

Amplify Desmos Math is customized specifically to meet the New York State Next Generation Math Learning Standards. Within each document below, you’ll find direct links to lessons and activities where each individual standard is addressed.

The program is also aligned with the expectations outlined in the New York City Department of Education Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework. Download the CR-SE alignment.

Amplify Desmos Math Scope and Sequence

Amplify Desmos Math Accelerated Scope and Sequence

Ready to plan for the 2025-26 school year? These pacing guides are designed to provide structure, not rigid mandates and resources for NYC.     

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Experience Amplify Desmos Math New York

Explore our digital program to review content from all grades, 6–A1. Watch our quick walkthrough video for helpful navigation tips.

Try out Amplify Desmos Math by following these steps.

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Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning packaged in a lesson format that’s teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class is suddenly fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understanding.

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Grade 6 Lesson Sampler

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Three people stand next to a large thermometer in a snowy landscape with mountains and penguins; cover page reads "Grade 7 Sample lesson" for Amplify Desmos Math.

Grade 7 Lesson Sampler

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Grade 8 Lesson Sampler

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Additional features

Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings students’ brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students are taught that they themselves are mathematicians, that today’s math has been shaped by a diverse range of mathematicians who deserve to be celebrated, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning: assessments. Amplify Desmos Math features a robust variety of formative and summative assessments, including readiness checks, exit tickets, quizzes, end-of-unit tests, and benchmarks aligned with New York State Next Generation Mathematics Learning Standards.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Reporting

Not only do our reports reveal progress toward standard mastery, but they also include details on how students performed against the standard in the past and how many encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

NYC webinar series

Figuring out how to implement a problem-based learning approach to mathematics can be fun—and challenging. Rest assured that you won’t be alone on this journey; Amplify will be by your side every step of the way. Our back-to-school math webinar series for K–8 administrators and teachers:

  • Introduces the new NYC Solves initiative.
  • Establishes the foundation for all educators to effectively understand and implement the NYCPS Shifts in Mathematics in their classrooms.
  • Provides an overview of Amplify Desmos Math, the pre-approved NYCPS curriculum chosen to ensure that every school can successfully implement these math shifts and is supported with high-level, tailored professional development and coaching throughout the process.

Please see the specific webinars and the recordings below to learn more!

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On-demand webinar 1

Would you like to learn more about the NYCPS Shifts in Mathematics and enhance your understanding of each of the five shifts?

Explore how the NYCPS math shifts are transforming mathematics education from a procedural approach to a more engaging, discoverable, and connected learning experience.

Listen to the Understanding the NYCPS Shifts in Mathematics session recording.

On-demand webinar 2

Let’s unpack the why, what, and how to unlock every student’s mathematical mind and build math proficiency for life! In this webinar, we discuss the power of teaching our children to be skilled mathematicians through a structured approach to problem-solving.

Listen to the Unlocking Mathematical Minds: A Structured Approach to Problem-Based Learning session recording.

On-demand webinar 3

For some educators, transitioning to problem-based learning might seem daunting. There’s often concern that the open-ended nature of the approach could derail students from achieving mathematical goals. However, by finding the right balance between open-ended opportunities and structured classroom activities, teachers can encourage students to share their thinking while meeting key learning targets. Uncover simple shifts that educators can implement to foster the perfect balance of open-ended student thinking and focus on mathematical instructional goals.

Listen to the Making the Shift to Problem-Based Learning session recording.

On-demand webinar 4

Amplify Desmos Math New York K–A1 is math that motivates! During this session recording, you’ll experience a grade 6 lesson that captures the essence of NYC Solves.

Listen to the Learn More and Experience Amplify Desmos Math LIVE, an NYCPS-Approved Math Curriculum session recording.

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review. You can be reached at any time by emailing or calling us directly.

  • Support pathways for NYC Core Orders
  • Chat: Click the orange icon while logged in to get immediate help.
  • Support Portal: Fill out this form, and we will get back to you as soon as possible.
  • Phone: Call our toll-free NYC Support number: (888) 960-0380.
  • Email: Send an email to AmplifyNYC@amplify.com.
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S5-02. Uncovering the causes of math anxiety

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We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dr. Erin Maloney (00:00):

It’s the anxiety itself in many ways that can cause people to underperform.

Bethany Lockhart Johnson (00:06):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:10):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:11):

This is episode two of our new season, all about math anxiety. Who has it? What is it? What do we do about it?

Dan Meyer (00:20):

I’m learning so much, learning a ton.

Bethany Lockhart Johnson (00:22):

I loved our first conversation with Dr. Gerardo Ramirez, episode one, our first episode of the season. Really, our goal with that conversation was just to—we need to talk about the basics of it, for reals. Like, what is math anxiety?

Dan Meyer (00:36):

What is it? How do you measure it? How’s it defined? Super-helpful stuff.

Bethany Lockhart Johnson (00:40):

There’s not only one way that it’s measured. But it’s like, in active research right now, how are folks making sense of it? And I think Dr. Ramirez did such a fantastic job of sharing that with our listeners. And I learned a lot. You learned a lot, Dan?

Dan Meyer (00:56):

I did. And I’m also super-excited to take that knowledge that we have developed together and go and build on top of it and keep on climbing up up the mountain here, and learn more about math anxiety. Which is why we’re super-excited to have a guest on, Dr. Maloney, who is going to help us learn more—especially about what happens to the brain when it’s experiencing math anxiety. There’s some really complex stuff that happens there, including the role of parents and educators in creating and resolving math anxiety. And I think we’ll also learn that the whole situation is a bit of a hot mess. And we’ll try to make it a little bit less messy together.

Bethany Lockhart Johnson (01:34):

Little bit less messy. Dan, if we do nothing else, can we make it a little less messy?

Dan Meyer (01:41):

I sometimes prefer more mess, but in this case I prefer less. So.

Bethany Lockhart Johnson (01:45):

I have a two-year-old, so everything is a mess.

Dan Meyer (01:47):

Your life is mess. Yes. <laugh> Right. Well, I’m excited for you folks to hear this. It was a delightful conversation, so yeah, tune in. We are joined by Dr. Erin Maloney.

Bethany Lockhart Johnson (01:56):

Let’s go. We are joined by Dr. Erin Maloney, associate professor in the School of Psychology at the University of Ottawa, where she directs the Cognition and Emotion Laboratory, as well as serving as the Canada Research Chair in Academic Achievement and Well-being. Welcome to the show, Dr. Maloney. We’re so excited to have you in the Lounge.

Dr. Erin Maloney (02:20):

Yeah, thank you so much for having me. This is fantastic.

Bethany Lockhart Johnson (02:24):

So our last season was all about math and joy. And even when I read your title, I felt more joyful. Like, somebody is thinking about academic achievement, but with well-being in mind. I love it.

Dr. Erin Maloney (02:39):

Aw, thank you.

Dan Meyer (02:40):

Cognition and emotion!

Bethany Lockhart Johnson (02:42):

E-mo-tion!

Dr. Erin Maloney (02:43):

I don’t think they can be separate. I think that you have to think about them together, ’cause they’re so intricately connected.

Dan Meyer (02:49):

Love that. People try, but we love that. Yeah. That’s our vibe here, too.

Bethany Lockhart Johnson (02:52):

People try. That was a big problem with my math anxiety. They just wanted…there was no room for my emotion. They’re like, stop weeping at your desk—

Dan Meyer (03:00):

It’s rearranging neurons….

Bethany Lockhart Johnson (03:01):

—you’re distracting the other children. So would you mind telling us the story of how you even got interested in this topic? You know, when you tell people that you study math anxiety—or, actually, I don’t know how you describe it to them; I’m hopeful you bring in that well-being part—but how did you get here? What do you, what do you, what do you…yeah, tell us! We love it!

Dr. Erin Maloney (03:23):

<laugh> I feel like what you’re actually asking is, “How did you make life choices that got you to here?” <Laugh>

Bethany Lockhart Johnson (03:29):

Justify your life choices! Ready? Go!

Dr. Erin Maloney (03:32):

<laugh> Whoo. OK. So, all right. So we often, in psychology, we joke that instead of doing research, we do “me-search.” And that’s, that’s admittedly true in my case. I was a student who absolutely loved math up until about eighth grade, and then something changed, and all of a sudden I was terrified of math and I had absolutely no sense of self-efficacy in it. Despite trying really hard, I was extremely anxious about it. And so I initially, I set out…my parents were completely convinced that I was absolutely capable of doing mathematics and that I was getting in my own way. And when I went to university, I decided to prove them wrong. So I set out to prove that some people just can’t do math, and that’s the end of it. And, you know, 20 plus years later, my parents were right. And it turns out that many people—well, I would argue virtually everyone—can do math. And that if you are really anxious about it, it can get in the way. And interestingly, you know, in, in the years that we’ve been doing this research, there’s really good strategies that can be used—that hopefully we get a chance to chat about—that can really help reduce the amount of anxiety that students are experiencing. But I really did set out, like the bold teenager that I was, to prove my parents wrong. And that backfired <laugh>. So I know it’s kind of a strange answer, but it’s the truth. So I was really interested in understanding why it was some people just could not do math.

Dan Meyer (05:10):

That makes two for two so far, on guests for this season who did a version of me-search. And I feel like this is pretty common for a lot of researchers. Like, I wanna figure out…my experience as a teacher, the part where you, I think, diverge from a lot of people I knew in grad school, myself included, is that you actually let counter evidence change your perspective on things. Whereas I feel like a lot of us go in: “I know this is true and I’m gonna gather data!” and lo and behold, I’m true! But only now, with the research TM, you know, trademarked research, attached to it. So that’s, really exciting. Thanks for sharing that.

Dr. Erin Maloney (05:43):

No, you’re welcome.

Bethany Lockhart Johnson (05:44):

But don’t people say that the more personal you get, the more universal it is? Right? So if you go and get your doctorate about something that you think is just your experience or in your brain, then people are gonna be gonna be like, “Wait a second; you think that too?” “Wait, that math anxiety isn’t just you?” I don’t know, it sounds like a pretty great path to me. When you tell folks that you study math anxiety or when you’re speaking to folks about your research, do you find that there is a lot of folks who relate to what you’re studying? Or how does that conversation typically go?

Dr. Erin Maloney (06:20):

Yeah, so it is I think an extremely relatable topic. Not in the sense that everyone experiences anxiety about math, but everyone seems to know somebody who’s really anxious about math. Or everyone’s at least aware of the stereotype that like some people are math people and some people aren’t, and that’s just the way it is. So it feels like everyone has feelings about math and everyone seems very happy to share those feelings. So one thing I’ve always found really interesting, and actually, so I, I know you mentioned that you had Gerardo on recently. Gerardo and I have had really interesting conversations about how people are really quick to tell you that they hate math and they can’t do math, and they’re anxious about math. And I’ve yet to have anyone ever tell me they hate reading, they can’t read, they’re really anxious about reading as an adult. So for some reason math seems really different. And in that sense people always seem to be pretty excited to talk about their feelings towards math.

Dan Meyer (07:23):

Yeah, definitely. Been on an airplane or two myself and had those conversations. You know, people asking to be reseated because they found out that I do math for a living or whatever. Or just unburdening themselves, for sure. I’m super-curious: I think that the fact that you are doing the me-search is reason enough to want to dedicate your life to this study. But I am curious: If you were gonna justify to someone else, why is math anxiety important to study? What are its consequences, even outside of math education? What would you say to that?

Dr. Erin Maloney (07:57):

So I think it’s probably not hard to convince people that success in math is important, right? So we know that children who start elementary school behind in mathematics tend to stay behind in mathematics, unless they have any kind of very targeted intervention. We know that children who do worse in mathematics throughout K to 12 education in general get lower-paying jobs when they’re older. We also know that when they do worse than mathematics relative to their peers, there’s fewer jobs that are open to them, relative to if they excelled in math. Right? And so I think in many ways there are really clear consequences for students who are not comfortable with math and who avoid it. But I think one of the really, really interesting things about math anxiety, and maybe part of why I’ve fallen in love with it as a research topic is that it’s the anxiety itself in many ways that can cause people to underperform. So it’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you career-wise. And I think that is really empowering.

Dan Meyer (09:18):

Hmm. Yeah, definitely. And I’d love for you to explore — your laboratory is the cognition and emotion laboratory, which I love, how you’re creating those linkages between how you feel about a thing and what your opportunities or your aptitude for learning it. I’m really curious, can you say more about the, the relationship there? How does feeling anxiety impair your ability to do mathematics?

Dr. Erin Maloney (09:41):

Yeah, so feeling anxiety, typically what you tend to experience is these negative thoughts and ruminations. So you can imagine, you’re somebody who doesn’t really love math, you’re pretty anxious about it; you know, Bethany, maybe you’ve had this kind of experience before. I’m gonna call you out on it. I’ve had it many times, where you sit down to do a math test and all of a sudden you’re not focusing on the actual math test in front of you. You’re focusing on things like the consequences of not doing well on this. Right? Or “my parents are gonna be really disappointed if I don’t pass this test,” or “my teacher is gonna think negatively negative of me,” or sometimes we see things like, “I’m a girl, girls don’t do math.” These types of stereotypes. And what happens is that those thoughts actually tie up really important cognitive resources, like, really important memory resources, that you need to do the math test. And so if you are trying to essentially do two things at once, right? You’re trying to deal with all these negative thoughts that are distracting you and you’re trying to do the math test, then you’re not going to do as well as someone who’s sitting down and doesn’t have all of these distracting thoughts to deal with. And we actually know that from research that we have in our lab right now, where we just ask people like, “Hey, when you did this math test, what kind of stuff are you thinking about?” what we find is that the people who are really anxious about math report a whole bunch of thoughts that are unrelated really to the math test, per se. It’s more about the consequences of doing poorly. And as a result of those thoughts, they actually end up doing worse.

Dan Meyer (11:14):

This has been really helpful to figure out, how the emotional state of doing math affects the ability to do math. And it’s really interesting how you’re saying that the direction of the causality can go from the emotions to the cognition. And I’m just curious then, what is the source of the bad emotions about math? Where does that come from? Is it nature? Is it nurture? Some combination? How do you see it?

Dr. Erin Maloney (11:39):

Yeah, so one, that’s a fantastic question. And there’s been a whole bunch of people all around the world that have been spending a lot of time really trying to pinpoint that down. And I think the answer is that it’s, you know, it’s complex. So most of what it’s looking like right now is that it is a combination of both. So essentially what we find is that kids who start elementary school who are a little bit behind in math—and for the question of why they’re behind, that’s also complex; it could be genetics, it could be just environmental input, before the child ever entered formal schooling kind of thing—but in essence, what we find is that kids that start school behind in mathematics, those are the children who are most likely to develop anxiety about math by the time they’re finished first grade. OK? But we also know that once they’ve developed the anxiety about math, then that’s when they get these thoughts and ruminations that kind of tie up those memory resources, that then is gonna make it harder for them to succeed in math tests. So you get into this sort of vicious cycle, right? Where maybe you start behind a little bit and then you develop the anxiety, the anxiety causes you to underperform relative to what you should be able to, so now you’re even further behind, you get more anxious because you’re not doing as well as you’d like to…but again, kind of coming back to the “Why are the children starting behind in the first place?” Some of that seems to be the role that parents are playing in the household. So some kids come from a household where parents are playing a lot more math games with them, talking about mathematical concepts on a regular basis. Maybe they have older siblings who are, you know, practicing arithmetic and, and mathematical processing in front of them. And so those kids are exposed to more math before they ever even start formal schooling. Those kids seem to do better. And then we also know that the parents’ attitudes matter a lot too. So what we find is that when parents are high in math anxiety themselves, especially when they help their children a lot with their math homework in really early ages, we find that those kids end up being more anxious about math by the end of the school year, and they also end up doing worse in mathematics. So it really does seem to be, you know, kind of a complex set of factors that have something to do with both maybe genetic predisposition to success in math and genetic predisposition to anxiety, but then also the social attitudes and stereotypes about math to which you’re exposed at home that really seem to be coming together to create this anxiety in young children.

Bethany Lockhart Johnson (14:24):

I feel like everything you’re saying is <laugh>…it makes so much sense and yet it’s so often not talked about, right? Because it’s just more like, it gets boiled down to, “Oh, they’re just not a math person,” instead of all these other factors that are at play. And I completely remember the anxiety I felt, whether it was a test or not, walking into my math classroom when I was in ninth grade. And there’s no way I was set up and ready to learn. Right? <Laugh>. And something with—we mentioned Dr. Ramirez, he was talking about validating that anxiety. If teachers validate that like, “Oh, you know what, sometimes you might feel stumped, or this might feel overwhelming.” Even the power in creating space for that in the classroom, right? And acknowledging that it doesn’t—math doesn’t have to “come easy” to you in order for you to have access or make sense, is such a powerful concept. And I love the way that you are looking at all these different factors and saying, “Hey, it’s both simple and also a lot more complicated than we’re we’re making it.” Right?

Dr. Erin Maloney (15:36):

No, and I agree with that sentiment so much. Like, I think, though—one thing I will sort of caution is that I think when teachers are validating the anxiety, or when parents are validating the anxiety, I think there’s a very fine line that needs to be walked where we need to be able to say, you know, “It’s OK to struggle with something. That’s, that is completely OK.” And as we’re, you know, as we’re working towards something that’s really valuable, right? We can, we can work hard at something and by working hard at it, we’re going to get better. And I think that type of validating is really, really important and valuable. I think what we wanna be careful of is not to say things like, “Oh, it’s OK. I also never loved math.” And, you know, “Oh, I was never a math person either.” And so even though we might be bringing comfort to the the child, I think that that’s sending the wrong message. And so sometimes it’s really well intentioned and really not great—

Bethany Lockhart Johnson (16:37):

A hundred percent.

Dr. Erin Maloney (16:38):

—in terms of the messaging. So that’s the only…so just for people listening, the only sort of caution that I would give there is that I think there’s nuances to the validating of the feelings that are important.

Bethany Lockhart Johnson (16:50):

I am so glad you said that because as a kindergarten teacher, I vividly remember—and this is as early as, you know, the kids are five years old, right?—and I remember in a parent-teacher conference, a parent saying, “Oh, I wasn’t a math person either,” or, “Oh, no, ugh.” And they were so quick, like you said, they wouldn’t say that about reading, but they were so quick to talk about their lack of natural math aptitude, right? And, and it was really interesting because you know that even if they’re not saying that specific thing at home, those attitudes are absolutely carrying over at home. And they’re absolutely carrying over to, to how they interact with their kiddo around math and around what’s happening in the conversations about math. And I felt like a lot of times my work as a teacher was also to help support parents through their own math anxiety, and help give them some new language for how they can talk about math. And that math is more than just getting to an answer quickly. Like, let’s talk about, let’s go on math walks, let’s go on number walks, what numbers are around the home? Or oh, is that bigger than this? Do you have more of this? And even those little things, I, my hope was that it was starting to shift the conversation around what math was possible in the home, particularly when you saw that it was the parents who had palpable math anxiety. Right? And how much you know that that’s gonna impact what’s happening when you sit down to do homework together.

Dr. Erin Maloney (18:22):

Yeah. And I love that you have worked to encourage parents to do that. So we do similarly. Like even from a research perspective, where I will often give talks to parents and teachers and we talk about the idea of trying to mathematize everything, right? So just the idea that math is absolutely everywhere, and you know, whether it’s a matter of playing games in the car with your kids where you’re thinking of a number and it’s “My number is higher than 42, but lower than 80, and what number do you think I might be thinking of?” And, and gradually trying to get the child to that number. Or, you know, asking questions like, “What’s your favorite even number and why?” And just little things like that that, that I think can make math fun for kids, that help—I don’t even know how to explain it, but just that idea of bringing joy into it, so it’s not always this heavy subject that kids have to come to. So we definitely try to talk to parents about the idea of, like I said, mathematizing everything. And usually it’s well-received, ’cause often parents find it empowering, right? They’re like, “Oh, well, I could do that! But like, that’s not math!” And you’re like, “No, but it is.”

Dan Meyer (19:33):

Yep.

Dr. Erin Maloney (19:34):

Like, it is! And sometimes parents will say like, “Well, I don’t know how to do fractions.” And you’re like, “OK, but how do you bake?” “Well, I don’t know! I just, like, I know how to do those fractions!” And you’re like, “OK, but that’s the starting point. Let’s work with that.” Like, let’s, you know. And I think a lot of times, it’s reminding the parents that they’re actually far more capable than what they think they are, despite the fact that maybe they struggled with math when they were younger.

Dan Meyer (19:58):

Yeah. This is so interesting. And I feel like part of the challenge around conversations about anxiety and math and how to, how to resolve it and where it comes from, is that it, like, it presupposes a single definition of math. And so, you know, we’re talking about like how to be more mindful about math. But you know, like if kids were walking every day through a treacherous street, you know, the solution might not be become more mindful about that street. It’s just like, we gotta fix the treacherous nature of the street, really. You know, I love that we’re talking also about redefining what math is, making it more playful. That feels like a super-important component here. I’d love to know more about what you know about the role of gender in all of this. Are there differences in the way boys and girls experience math anxiety and how it relates to achievement in math?

Dr. Erin Maloney (20:48):

Yeah, so, there’s really, really interesting research on gender in math anxiety. So in general, we find that girls tend to experience more anxiety about math than boys do. So one hypothesis is that it has to do with just social stereotypes that, you know, girls are, are good at reading; boys are good at math, kind of thing. So there’s some evidence to suggest that that might be playing a role. There’s other evidence to suggest as well that maybe boys actually do experience as much anxiety, they just don’t really own up to it.

Dan Meyer (21:20):

Ooh, yikes.

Dr. Erin Maloney (21:21):

So thoughts are, you know, there’s a bit of an apprehension for males to admit experiencing the anxiety. But I think one of the things that is extremely interesting about it—at least to me—is that we don’t tend to see gender differences in young children. So in early elementary school, even though we’ll see that kids as young as six years old will experience anxiety about math, and that that anxiety is related to how well they do in math and how much they enjoy math, it doesn’t seem to vary as a function of gender at that young age. It doesn’t seem to be related to gender until kids are at about sixth, seventh grade that we really start to see this gender difference coming online. And so that, to me, suggests that it’s probably something more social than biological at play. It probably has something more to do with these stereotypes and stuff. But another really interesting—or at least, I’m biased, but to me—another really interesting line of research that comes into play—and some of this is stuff out of my own lab—so we know that boys in general tend to do better at spatial processing than girls. And we know that spatial processing is really important for math, right? So math and space are pretty connected. And by spatial processing, I mean things like being able to picture something rotating in your mind or, you know, envisioning how these puzzle pieces might fit together. And so we know that boys tend to do better at that type of processing. And the gender difference there seems to be related to gender differences in math anxiety. So there’s some speculation, too, that it might be that as the math starts to become more reliant on spatial processing, that that’s when we see this separation between boys and girls with respect to how much anxiety they feel about math. So a lot of this is to say, I think the answer to the gender question right now is what I think what we would officially call a bit of a hot mess, <laugh> where I think there’s probably more questions than answers. But I think that there’s definitely something going on. And it really seems to be coming on later in elementary school.

Dan Meyer (23:32):

That’s a refreshingly honest admission from a social scientist, that it’s a hot mess and not perfectly clear, <laugh> so I appreciate that. It’s interesting what you said about the spatial reasoning. In our work creating curriculum at Amplify, I find we lean a lot on trying to tie abstract math towards spatial topics. Like, can you estimate a quantity before you calculate it? Can you identify a pattern and where it breaks before you prove it abstractly? And, I dunno, it’s just interesting to me. I’m just thinking out loud about how I feel like math becomes more abstract rather than more spatial. The farther you venture into secondary math…I’m wondering if I misunderstand what you’re meaning by spatial, and the progression of math from K–12.

Dr. Erin Maloney (24:20):

Yeah, so I think you can still have—you can have math be abstract, but still really relying on spatial processing. Right? And I think part of that is maybe a bit of us having different definitions of when we say “spatial.” So in cognitive science, when we talk about spatial representations or spatial reasoning, it’s really like anything you’re picturing in your mind, any time you’re really picturing these things in your mind and manipulating those images at all. So if you imagine, even like at a simple level, but it’s gonna hold when you’re going more complex as well. So doing like equivalence problems, for example, where you have to balance the equations.

Dan Meyer (24:58):

Yeah.

Dr. Erin Maloney (24:59):

Even just being able to envision things kind of moving around that equal sign and bringing one piece of the equation from this side to the other is actually an extremely spatial kind of reasoning. Right? Or when you’re expanding, that’s actually extremely extremely spatial, despite the fact that it might not feel like it initially. Obviously anything in geometry is going to be very spatial. So I think, in that sense, we would argue that the spatial processing is still playing a pretty important role. But it’s maybe a different type of spatial processing than what we’re seeing at a very early level in elementary school. That said, you can completely disagree with me too. ‘Cause I could also just be wrong, and that’s fair. My kids tell me I’m wrong all the time. So I’m used to <laugh> being told that I’m wrong.

Dan Meyer (25:47):

Well, we’re a bit more deferential on this here show, with our guests. So I would not do that. But it makes sense, what you’re saying about how these are things that you manipulate in your mind, whether they are Xs and Ys or numbers and fractions. These are all things that we manipulate. That ties into differences in this spacial reasoning category, it sounds like, which then contributes to math anxiety. And it does start to feel like there’s a lot going on here, is what it feels like.

Bethany Lockhart Johnson (26:14):

You mean hot mess?

Dan Meyer (26:16):

I meant hot mess.

Dr. Erin Maloney (26:17):

Yeah. <laugh>, I think that’s the technical term, right? I’m pretty sure that’s the technical term for it.

Dan Meyer (26:21):

I didn’t know the citation for it. So I didn’t say it. But I knew who in literature named that. But yeah.

Dr. Erin Maloney (26:28):

I’ll write something at some point.

Dan Meyer (26:30):

We’ll cite Maloney, 2022. Yeah. Yes.

Bethany Lockhart Johnson (26:34):

So I will say that one of my dreams in thinking about this season and last season, but particularly this season, since we’re really getting to talk to some researchers who get to think about this, and have really interesting conversations about it all the time…one of my dreams is that we’re bringing—’cause we do have some folks who are researchers that are listening, right? But then we also have teachers and folks who are in the classroom every day, and parents and caregivers listening. And so I think one of the beautiful things about the way that I hear you talking about it is you’re thinking about the research, but it’s so applicable. Right? And I wonder if there’s anything else you can say around it. I wanna reduce that divide, that gap, between the research that’s happening and then what’s happening with the kiddos and in the classroom and at home. And I don’t know if it’s like a magic wand thing where like <laugh> if there were changes you’d wanna see at a societal level, to try to combat math anxiety, but you see where I’m going. You know, it’s like <laugh>….

Dr. Erin Maloney (27:39):

  1. So I’m gonna answer maybe in two ways. So I think the first thing that I’m hearing from you is that idea of diminishing this divide, right? And so one thing I try to keep in mind, as someone who’s a researcher and working in the lab, I will often be called in to talk to teachers and give professional development sessions. And they often want the sage-on-the-stage academic, that stands up there and tells you the answers to things. And one of the first things that I’m gonna admit when I get up there is, “I am not on the front lines.” So what I do in the lab, for me to tell you that that’s gonna work in a classroom of 30 kids who may or may not have eaten dinner that day, and may or may not have snow pants, and may or not…like it’s–

Bethany Lockhart Johnson (28:23):

Mmm, yes.

Dr. Erin Maloney (28:24):

You know, I think we also need to be a little bit reasonable. So I try really hard in my own program of research to make sure that I’m always talking to teachers and to principals and to curriculum designers to make sure that the ideas that I have make sense. In fact, one of the most recent book chapters that I wrote, I wrote in collaboration with a really good friend of mine who’s a principal, an elementary school principal, and a former math consultant. And we wrote it together, to really say like, “Hey, here’s how we can help each other inform how research can inform practice and how practice can also inform research.” ‘Cause he can come to me and say, “I’m doing this. I can’t find anything in the literature to support this, but I’m sure it works!” And we can design something in the lab to test whether or not it seems like it’s gonna work.

Bethany Lockhart Johnson (29:11):

That’s huge. Yeah.

Dr. Erin Maloney (29:12):

Empirically. And so I think that open communication is massive. One thing that we’re doing in my own lab to try to keep that open communication available. So to anyone listening who’s ever tried to get access to a journal article, they’re held behind paywalls, right? So one, the way it works, my understanding of this anyway, is that the journal owns the formatted version of the paper. So what we do is we put up audio recordings of all of the research papers that we ever publish. So I’m pretty sure I own the words as the author, and the journal owns the prettified version that you can buy. So we audio-record all of our papers, so that if teachers or parents ever want to hear the actual science that’s going into some of these decisions, they have access to at least the stuff that we do in our lab. And we also put up an infographic for every paper, just highlighting kind of the main questions and main findings. And we do that because I think that the only way for the information to actually be useful is if it gets into the hands of the stakeholders that actually need that information.

Bethany Lockhart Johnson (30:21):

And is accessible. That’s huge. That’s huge!

Dr. Erin Maloney (30:24):

Yeah. Yeah. So that’s one way that we try to do it. And like I said, the other thing, we try to always be working with principals and with teachers. I joke that the way that I remedied this in my own life…so my husband’s a teacher; it’s like, I just married one! It’s fine! <laugh> I can grill him on a regular basis, and be like, “I wanna try this experiment. Do you think it’s gonna work?” And he can say, like, “It’s not going to. Here’s why.”

Dan Meyer (30:47):

That’s awesome. Marrying a participant—you know, a research participant—is unethical, of course. Would not clear IRB. But turning your partner into a participant? Like, what are you gonna do? That’s great.

Dr. Erin Maloney (30:57):

Yeah, no, that’s fair game.

Dan Meyer (30:58):

Yep.

Dr. Erin Maloney (30:59):

Yeah. So that’s—I think we we compensate each other <laugh>. So, no…so I do joke a little bit about that. He was a teacher simply ’cause he wanted to be one. Not ’cause I needed him to be one. But, I think that communication part is, is really key. That’s one thing. Then the other part of the question or the other sort of piece of the question that I was hearing is that idea of, how do we fix math anxiety. Right? Like, what’s the great, “I’m glad that there’s a whole bunch of time and effort and energy going into trying to understand this, but what, where are we at?” And I think with that, it’s really, really promising. So there’s been a lot of research coming out looking at how best to help children or even adults manage their own anxiety about math. And there’s a few really interesting strategies that seem to be quite effective. So one, and I don’t know if—um, it feels weird calling him Dr. Ramirez, just ’cause I know him well!—but I don’t know if Dr. Ramirez would’ve talked about this when he chatted with you, but he has some really interesting work on expressive writing. Did he chat about that at all?

Bethany Lockhart Johnson (32:07):

He didn’t, but I’ve read some of his work about it and I think it’s so fascinating.

Dr. Erin Maloney (32:11):

Yeah! So, OK, well, I’ll tell you about his work on it.

Bethany Lockhart Johnson (32:13):

Yes, please. Please.

Dr. Erin Maloney (32:14):

Because it’s super-useful. So when we talked about that idea of how anxiety causes these thoughts and ruminations, and they tie up the memory resources that you need, what Gerardo has found is that when you get students to write about their anxiety for about 10 minutes before they do a test, what ends up happening is they end up doing better on the test, relative to if they would not have written about their anxiety at all. And this is particularly true for students who are really high in anxiety. OK? And the idea is that all of those thoughts that they were going to have about the test or the consequences of the test, et cetera, you just kind of get ’em…it’s like a mind dump where you get ’em all onto the page at first before you even go to do the test. And now when you go to do the test, you’re not having to do two things at once. You’re no longer dealing with these thoughts ’cause you got ’em all out on the paper beforehand. And so Gerardo has some really interesting work showing that that works for math anxiety. And then it also works for just testing anxiety in general. And so that’s a strategy that I love. I also—part of what I really love about it is it’s so low-cost, right? You need a paper and a pencil and it’s great. So those are always my favorite strategies, the ones that don’t really cost us anything. So that’s one way of dealing with like the cognitive part of the anxiety. The other thing you can do is try to deal with the anxiety part of the anxiety. So for that, what we find is that the typical strategies that you’re gonna see for anxiety tend to work for math anxiety. So things like focused breathing. Right? Making sure you’re doing deep inhales and exhales. That really diaphragmatic breathing seems to be quite helpful. We know that what we call progressive desensitization is really key. That’s the idea of doing things, you know, starting with the questions that you know how to handle. And then gradually working up to the more difficult questions. So you’re sort of gradually exposing yourself to the more complex stuff. And how that can play out on an actual test at school is, you sit down, and instead of just starting with question number one, you actually read the whole test, see which questions you feel like you know the best, start with those questions, and that helps build your confidence so that you’re better able to tackle the questions that are maybe a little bit outside of where you’re currently at. So that seems to be really helpful. The other part that I will say, too, that’s extremely helpful: So we know that anxiety really ties up those memory resources. And so the more you can make the math automatic, the more immune it’s going to be to anxiety in the moment. And so I know that this part can be a little bit controversial, because we don’t wanna necessarily demotivate children, and kill the enthusiasm for math that we’re trying to cultivate…but really, you know, really committing your arithmetic facts to memory can be extremely helpful. So really learning those times tables, really learning your addition and subtraction facts. ‘Cause what happens is, then when you’re in a situation where you need that information, even if you’re anxious and you’re working with fewer cognitive resources than what you would normally have, you actually don’t need that many cognitive resources to be able to pull something from memory that you’ve memorized. So it really helps to kind of protect you against some of the negative impacts of the anxiety while you’re doing that test.

Bethany Lockhart Johnson (35:37):

And you’re not using all your cognitive resources to figure out seven times eight, because you can really focus on what you’re trying to do with that. Oh, that’s fascinating. Yeah. Yeah.

Dr. Erin Maloney (35:47):

Yes. No, a hundred percent right. And so I know that’s one that, like I said, I know it can be somewhat controversial because it’s…you know, we’ve talked about—or we haven’t talked about in this conversation, but we often talk about—the idea of drilling and killing. Right? So you drill the facts, you kill the, the enthusiasm. But I think that there are ways that we can drill arithmetic facts, or help make them automatic, but still fun, right? It doesn’t have to always be in a high-pressure kind of way.

Bethany Lockhart Johnson (36:16):

Totally. And we’ve talked about fluency, and I’m sure we’ll talk about it more in the Lounge. And that is interesting, that link between anxiety when the fluency isn’t there, that—or, of course we hear about anxiety with timed tests, but the idea of that IS something you can do to reduce it, because you have those facts just at your ready. Right?

Dr. Erin Maloney (36:37):

Yeah. So I actually, again, I’m gonna be a little bit controversial. So I don’t hate timed tests in the way that a lot of people do. But I love time to practice. So I think once we’ve got to a point where children have a fairly decent understanding of skills, of a skill, once they’ve got a fairly decent grasp on it, then I love the idea of the timed practice. So it can be still in a low-pressure situation, where in many ways it doesn’t matter if you get the answer to the question correct. But we’re practicing doing it in a situation in which you might be feeling a little bit of pressure, but it’s not real pressure, if that makes sense. And I think that can be really, really useful for students. And again, it can be done in a fun way, right? It doesn’t have to be these super-intense ways. It can be fun. But I think that in life there are situations in which the time that it takes you to complete a problem matter. And I think that we have to make sure that we don’t get too far away from that.

Dan Meyer (37:40):

Yeah. It feels like we should do an entire other episode thinking about ways to develop that fluency and automaticity that don’t contribute to anxiety, or create further disparities between people who are high math anxiety and low math anxiety. Not a small question, I’m sure. And I appreciate you alluding to all of that. You know, this whole thing, as you said, is quite the hot mess. And I feel like you, Dr. Maloney, have helped us make this a little less messy, in our heads, and hopefully the listeners’ heads. I really appreciate that. I just love…you’ve mentioned lots of resources that you have. You’ve alluded to them: audiobook-style readings of your research, which I need ’cause I just finished, you know, Harry Potter, the seventh book, so I need a new thing to listen to like that. Also infographics. Can you tell our listeners where they can find this work of yours, and if there are any other kinds of resources that you wanna plug for our listeners here?

Dr. Erin Maloney (38:32):

Yeah, for sure. So all of our resources can be found on my lab website. So the address for that is www.ErinMaloney.ca. So there we have, like you said, the infographics and the audio articles and all that stuff. And then we also have a link to a new kids’ book out, actually, that a colleague of mine and I have published recently, that really walks through some of these strategies on combating math anxiety. The book is written as a children’s book, so it’s Peyton & Charlie Challenge Math. But it secretly is a book that would also work for adults. So if you are a parent that’s a little bit anxious about math, or a teacher that maybe is a little bit anxious, and you wanna see how some of these strategies can play out, in that book—we linked to it on the website, but it is available for purchase on Amazon. And the one thing I will say about the book, ’cause this is something that we were pretty proud of, so Sheri-Lynn Skwarchuk, who is a school psychologist, and I wrote the book. And it’s available for purchase at our cost price, so we don’t actually make any money on the book. It was literally just a way of getting some of the science out to people who might be able to benefit from it.

Bethany Lockhart Johnson (39:45):

Reducing that divide!

Dr. Erin Maloney (39:46):

Yeah, well that’s what we’re trying to do! Right? So I think in the U.S., I think it’s like $6 on Amazon. And then in terms of other resources, we’re in the process right now of creating some informational videos and and stuff like that that hopefully will be useful for parents and for teachers, just in terms of understanding a little bit more about the anxiety and understanding how to deal with the anxiety in the classroom more, at home or wherever it might be coming up.

Dan Meyer (40:15):

Well, thanks so much. I really appreciate—we appreciate!—you coming on, and hearing about how you’re trying to bridge so many different barriers from research to practice, and school to home. It’s just really inspiring. And we’d love to have you back on sometime. So thank you so much for joining us.

Bethany Lockhart Johnson (40:29):

I feel like we’ve just hung out! Don’t you, Dan?

Dan Meyer (40:31):

Are we rolling here? Oh my gosh, we’re rolling. I just thought we’re just hanging. Yeah,

Bethany Lockhart Johnson (40:34):

I thought we were just hanging!

Dr. Erin Maloney (40:36):

I know, I do, I really appreciate that it has a very kind of chill vibe to it.

Dan Meyer (40:41):

Chill vibe. Like a lounge.

Bethany Lockhart Johnson (40:42):

It’s the lounge!

Dan Meyer (40:43):

Thank you. You get us; you get us. <laugh>

Bethany Lockhart Johnson (40:45):

Dan Meyer. I was shopping for children’s books, and there was this book, and it was talking about being at home with Mom. And it’s going through all the things that the child did that day with Mom. It’s like, “We played outside, we ran through the sprinklers, we even did some homework.” And it shows them sitting at the table with the homework, that’s clearly math homework, in front of them. And the mom is like, “Harrumph!” Like a very perplexed, anxious face. And there’s all these question marks above her. And it’s just like,

Dan Meyer (41:24):

“There should not be numbers on that paper!”

Bethany Lockhart Johnson (41:25):

Exactly. And the child is like, “Ohhhh,” you know. And I mean, I have to give credit to the illustrator, because they really did capture the clear message of this interaction, which was sitting down to do math homework or think about math together is a source of angst. Right? According to this author and according to too many people. And so I think what’s really important is that we recognize those images when we see them out there and speak back to them, and say, “Hey, wait a second.” Yeah, it can feel like that, and it doesn’t have to. And what’s going on that that’s just the assumed way that it’s gonna feel, to sit down and math together. You know?

Dan Meyer (42:11):

Yeah. It feels like we all have a lot of work to do on the whole math-anxiety front. Dr. Maloney helped us see how parents play a part, educators play a part, society and how they create people plays its own part in how we all define math as a thing where we evaluate student thought or where students play it with their thoughts, has its own huge part as well. So yeah, it was a really fantastic conversation with Dr. Maloney. I hope you folks will check out the show notes, where you will find links to Dr. Maloney’s website. A lot of her work, which as you heard, is very geared towards practitioners and parents and even directly at kids, especially the new children’s book she co-authored, Peyton & Charlie Challenge Math.

Bethany Lockhart Johnson (42:55):

Next time we’re gonna dive even more into the nitty gritty of combating math anxiety. To do that, we’re actually gonna be joined—I am so excited about this—by Dr. Rosemarie Truglio from Sesame Workshop.

Rosemarie Truglio (43:09):

Our core audience are two- to four-year-olds, and they love math. And what’s not to love? Children don’t come with this math anxiety. Math anxiety is learned.

Dan Meyer (43:23):

So excited.

Dr. Erin Maloney (43:24):

Sesame Street was a huge part of my childhood and my toddler doesn’t know it yet, but Sesame Street is coming. It’s coming. Like, we’re we’re gonna introduce Sesame Street to him. We just haven’t yet.

Dan Meyer (43:37):

Sesame Street straight raised me.

Bethany Lockhart Johnson (43:38):

Right?

Dan Meyer (43:39):

Yeah. Don’t tell my parents. But that’s, yeah, that’s true. I’m excited, too. It’s gonna be a blast.

Bethany Lockhart Johnson (43:45):

I’m really excited. I think that the more we dive into this topic—which, again, we’re gonna look at math anxiety from a lot of different angles—and I’m excited to talk to Dr. Truglio about how we can take this research and these conversations that are happening about math and how it can actually impact what’s happening in homes. ‘Cause we wanna help create positive relationships with mathematics, with kids in math. I’m so excited. And I hope you folks keep listening. We love having you here in the Lounge. And if you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. And if you like what you’re hearing, please leave us a rating and a review. It helps more listeners to find the show, and let other folks know about this show. Recommendations are great. Thanks so much for listening.

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What Dr. Erin Maloney says about math

“If we can change their mindset, then we can set students on a path to more opportunities and success.”

–Dr. Erin Maloney

Associate Professor in the School of Psychology, Director of the Cognition and Emotion Laboratory, and the Canada Research Chair (Tier II) in Academic Achievement and Well-Being, all at the University of Ottawa

Meet the guest

Erin Maloney is an Associate Professor and Canada Research Chair at the University of Ottawa. Her research sits at the intersection of Cognitive Psychology, Developmental Psychology, and Education and focuses on cognitive and emotional factors that relate to academic achievement. She is a world-renowned expert on the study of math anxiety, conducting research in the lab, in homes, and in classrooms with children, parents, and their teachers. She is passionate about both knowledge mobilization and equity, diversity, and inclusion within education and science.

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About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Families and caregivers, welcome to Amplify Desmos Math California
6–12!

Welcome to the Amplify Desmos Math California Grade 6–12 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey.

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

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Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources will be available in both English and Spanish, as well as a glossary of key terms in both languages.

  • Coming soon!
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Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities
  • Sub-Unit 3 – Writing Equations for Parallel and Perpendicular Lines

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Exponential Functions Involving Compound Interest

Unit 6

  • Sub-Unit 1 – Drawing Perpendicular Bisectors
  • Sub-Unit 2 – Determining Coordinates After a Rotation
  • Sub-Unit 3 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent

Unit 7

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Access Amplify Desmos Math California at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, but research shows that making mistakes helps your brain grow. When your student gets stuck on a problem, encourage them to try different strategies, even if they think they can’t do it or will get it wrong.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math California? Visit our Help Library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Welcome, Amplify Math families and community to Amplify Desmos Math!

Amplify welcomes you and your learner to Amplify Math for the new school year. We are very excited to provide you with exceptional learning opportunities through math. Below are resources and helpful guides for enabling your student to have the most productive experience with our platform throughout the year.

math illustration of Amplify Math programs

What is Amplify Math?

Amplify Math is a core math curriculum built for grades 6, 7, 8, and Algebra 1. It features a full suite of products for teachers and students that includes lesson plans, instructional materials, practice, assessments, and support to meet all learners’ needs. Amplify Math is built upon the highly rated curriculum, Illustrative Mathematics’® IM K–12 Math™, which was heavily researched and field-tested and has earned an all-green score on EdReports, the nationally recognized non-profit curriculum evaluation organization.

Read the review on EdReports.

Amplify Math helps students learn math in a way that is engaging and relevant to the world around them using student-centered instruction, which has been proven to increase students’ motivation, engagement, and enjoyment of math. Students using the program are active participants in their learning, solving problems while working with their classmates.

The digital experience allows your student’s teacher to monitor your student’s work in real time and make sure they get the exact support that they need at every part of the lesson. Amplify Math’s open-ended tasks provide engaging challenges for students of all levels, preparing them to solve all types of problems. The parts of Amplify Math work together to help students master the key skills of a 21st century learner!

Features

Some of the unique features of Amplify Math include:

  • Narrative connections: Exciting stories that help students to make connections between the math they learn in class and their everyday lives, making math class more engaging for your student.
  • Amps: Interactive digital activities (included in every lesson) let your student can explore the math and collaborate with their peers.
  • Power-ups: Additional activities that teachers can use to identify when your student needs support and help your student improve on the most important skills.
  • Featured mathematicians: Stories of important mathematicians that help your students see themselves mirrored in the history of math.

Why student-centered instruction?

A diverse group of students, one wearing a unicorn headband, looks at a teacher pointing to an amplify math bar graph on a board.

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Student-centered instruction instead emphasizes student-led discovery. When students explore and discover strategies, they are more engaged and make longer lasting connections.

Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math. This way of learning helps students to remember what they learn in class and apply their knowledge to new situations. Students who experience student-centered instruction have been shown to perform better on standardized tests and have more growth in their grades than their peers who learn through other methods. Your student will also learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems. With student-centered learning, students will begin to develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What does an Amplify Math lesson look like?

Four illustrated icons represent phases of a lesson: Warm-up, Activities, Summary and Reflection, and Exit Ticket and Practice, each with related instructional graphics.

Students using Amplify Math will be active participants in their learning and get practice solving interesting and new types of problems. Here’s what a typical Amplify Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 2-3 mini-activities that challenge students’ problem-solving skills
  • Summary: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

Check out lessons from Grade 6Grade 7Grade 8, and Algebra 1, and watch this video of a typical Amplify Math lesson:

Materials overview

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. In addition, depending on the district, your student may also have a print Student Edition to use instead of the digital lesson if they do not have a device or internet. The Student Edition is a workbook that students can use to complete their work on problems and practice within the lessons.

Students can access the digital curriculum in school and at home with login information provided by their teachers. You can contact your student’s teacher to learn more about how they log in. Here are some key resources of the digital platform for students:

  • Digital activities to allow students to explore and make sense of math, leading to increased engagement and understanding
  • Digital supports such as a calculator and manipulatives to support all students where they are
  • Power-ups to give students just-in-time practice with key skills
  • Ability to access instructional materials in English or Spanish

Unit Caregiver Letters

Click a unit below to download the caregiver letter for that unit, in both English and Spanish.

How to support your student

Amplify Desmos Math Support
  • Review the unit caregiver letters to understand the key concepts in each unit. You can walk through the worked examples with your student, asking them to explain the strategy shown and asking if they know any other strategies to solve the problems. 
  • Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem or talk about any parts that were challenging for them. 
  • Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right. 
  • Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Want to learn more?

Interested in learning more about Amplify Math? These resources will help you dig deeper:

San Diego Caregivers — Welcome to Amplify Desmos Math!

Welcome to the Amplify Desmos Math Caregiver Hub for San Diego USD. We’re excited to partner with San Diego USD teachers, principals, and district leaders to provide your student with exceptional opportunities to learn math. We designed this hub to help you in supporting your student along their math journey this year.

Introducing Amplify Desmos Math

Amplify Desmos Math is a new core math curriculum built for grades 6, 7, 8. Designed to help students learn math in a way, Amplify Desmos Math uses a student-centered approach to instruction, which has been proven to significantly increase math learning.

In every lesson, Amplify Desmos Math poses engaging and relevant problems to solve, giving students daily opportunities to think critically, work collaboratively, and actively participate in their own learning.

Amplify Desmos Math was built upon the highly rated Illustrative Mathematics curricula: IM K-12 Math™️, which earned an all-green score on EdReports.

About student-centered math instruction

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Instead of memorizing formulas and tricks, student-centered learning focuses on giving student opportunities to figure out how math works. Plus, research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math.

This way of learning helps students:

  • Understand how math concepts work.
  • Remember what they learn in class and apply their knowledge to new situations.
  • Perform better on standardized tests and have more growth in their grades than their peers who learn through other methods.
  • Learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems.
  • Develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What materials do students use?

Amplify Desmos Math supports blended learning with supportive print materials and a unique digital experience. In addition to a consumable Student Edition, students are invited to use our interactive online platform to solve open-ended tasks and challenging problems.

Here are some key highlights of the digital platform:

  • Digital activities that allow students to explore and make sense of math
  • Digital calculator and virtual manipulatives that support students of all levels
  • Immediate feedback that guides students in understanding challenging concepts
  • Ability to access instructional materials in English or Spanish

With access to their own special online dashboard, teachers can monitor students’ work in real time, making sure they get the exact support that they need at every part of the lesson.

What does a lesson look like?

Students in an Amplify Desmos Math classroom can be seen (and heard!) — asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

In class, your student will spend their time working on challenging problems while the teacher acts as a guide, highlighting different strategies for solving problems and helping students to understand the reasoning behind the math they do in class. Your student will be pushed to think more deeply about the math in their class as the teacher and other students question them on why their ideas make sense. Research has proven that this method helps students become better problem solvers, critical thinkers, and have a stronger conceptual understanding of what they are learning.

Here’s what a typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 1-3 mini-activities that challenge students’ problem-solving skills
  • Synthesis: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket and Reflection: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

How can families support math learning at home?

Find the math in everyday life

Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Review practice problems together

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem, or talk about any parts that were challenging for them.

Remember getting stuck is okay

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right.

Use our Unit Summaries for Families

We’ve created a Family Resource for every unit of the program that provides a summary of key concepts plus examples for how to work through problems.

Within each of the grade-level links below, you’ll find a Family Resource document for each unit, in both English and Spanish.

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Arithmetic in Base Ten

Unit 6: Expressions and Equations

Unit 7: Rational Numbers

Unit 8: Data Sets and Distributions

Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

Unit 3: Measuring Circles

Unit 4: Percentages

Unit 5: Rational Number Arithmetic

Unit 6: Expressions, Equations, and Inequalities

Unit 7: Angles, Triangles, and Prisms

Unit 8: Probability and Sampling

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations and Similarity

Unit 3: Linear Relationships

Unit 4: Linear Equations and Systems of Linear Equations

Unit 5: Functions and Volume

Unit 6: Exponents and Scientific Notation

Unit 7: Irrationals and the Pythagorean Theorem

Unit 8: Associations in Data

Note: The below links are for our Volume 2 units, which most students are working in currently. Additional units will be coming soon!

Unit 1: Coming Soon!

Unit 2: Coming Soon!

Unit 3: Fractions and Decimals

Unit 4: Expressions and Equations

Unit 5: Proportional Relationships

Unit 6: Percentages

Unit 7: Positive and Negative Numbers

Unit 8: Describe Data

Note: The below links are for our Volume 2 units, which most students are working in currently. Additional units will be coming soon!

Unit 1: Coming Soon!

Unit 2: Coming Soon!

Unit 3: Coming Soon!

Unit 4: Linear Relationships and Systems of Linear Equations

Unit 5: Functions

Unit 6: Associations in Data

Unit 7: Volume and Surface Area

Unit 8: Exponent and Scientific Notation

Unit 9: Pythagorean Theorem and Irrational Numbers 

Listen to our podcast

Our Math Teacher Lounge is a biweekly podcast created specifically for K–12 math teachers. In each episode, co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with expert guests, taking a deep dive into the math and educational topics.

From time-to-time, the topic of an episode is perfect for families. For example, the episode below features Dr. Marjorie Schaeffer. She discusses what causes math anxiety, math hacks, and how the right math technology can make an incredible impact in children and family members who struggle with math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

How do families access the program at home?

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter this username and password provided by your student’s teacher.
  • Select the desired grade level.

Grade K

Unit 1: Math Is…

Lesson 1-2: Math is Exploring and ThinkingConnecting Cubes

Unit 4: Sort, Classify and Count Objects

Lesson 4-1: Alike and DifferentSo Much Sorting
Lesson 4-2: Sort Objects into GroupsSo Much Sorting
Lesson 4-3: Count Objects in GroupsWhat’s that Shape called?
Another Shape

Unit 5: 2-Dimensional Shapes

Lesson 5-1: TrianglesWhat’s that Shape called?
Lesson 5-2: Squares and RectanglesAnother Shape
Lesson 5-4: CirclesWhat’s that Shape called?

Unit 6: Understand Addition

Lesson 6-1: Represent and Solve Add To ProblemsHow Many Objects?
Lesson 6-2: Represent and Solve More Add to ProblemsWhat does it mean to add?
Lesson 6-3: Represent and Solve Put Together ProblemsWhat does it mean to add?

Unit 7: Understand Subtraction

Lesson 7-1: Represent Take Apart ProblemsWhat does it mean to subtract?
Lesson 7-2: Represent and Take From ProblemsWhat does it mean to subtract?

Unit 8: Addition and Subtraction Strategies

Lesson 8-4: Ways to Decompose 6 and 7Harry Explores the Ocean
Lesson 8-6: Ways to Decompose 8 and 9Harry Explores the Ocean
Lesson 8-7: Ways to Make 10Harry Explores Space
Lesson 8-8: Ways to Decompose 10Showing What We Know About 10

Unit 13: Analyze, Compare and Compose Shapes

Lesson 13-1: Compare and Contrast 2-Dimensional ShapesWhat’s that Shape called?

Unit 14: Compare Measurable Attributes

Lesson 14-1: Describe Attributes of ObjectsAnother Shape

Grade 1

Unit 2: Number Patterns

Lesson 2-5: Patterns when Representing Objects in a GroupMeeting Yara

Unit 3: Place Value

Lesson 3-1: Numbers 11 to 19Same Number, Different Ways
Lesson 3-2: Understand 10sBoris’s Thimbles
Lesson 3-4: Represent 2-DigitsSame Number, Different Ways
Lesson 3-5: Represent 2-Digits in Different WaysSame Number, Different Ways

Unit 4: Addition within 20: Facts and Strategies

Lesson 4-1: Relate Counting to AdditionInvestigate: Game Points
Meeting Yara
Lesson 4-5: Make a Ten to AddMaking 10
Lesson 4-9: Find an Unknown Number in an Addition EquationA Community Working Together
Lesson 4-10: Understand The Equal SignKitten Coaster
Lesson 4-11: True Addition EquationsKitten Coaster
Replanting Huli

Unit 5: Subtraction within 20: Facts and Strategies

Lesson 5-1: Relate Counting to SubtractionPacking a Picnic

Unit 7: Meanings of Addition

Lesson 7-1: Represent and Solve Add to ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 7-2: Represent and Solve More Add to ProblemsHelping Others

Unit 8: Meanings of Subtraction

Lesson 8-1: Represent and Solve Take From ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 8-2: Represent and Solve More Take From ProblemsHelping Others

Unit 13: Equal Shares

Lesson 13-1: Understand Equal SharesA Bigger Part
Lesson 13-2: Partition Shapes into HalvesFair and Square
Lesson 13-3: Partition Shapes into FourthsFair and Square
Lesson 13-4: Describe the WholeOne of the Parts, All of the Parts
Lesson 13-5: Describe the Halves and Fourths of ShapesOne of the Parts, All of the Parts

Grade 2

Unit 2: Place Value to 1,000

Lesson 2-1: Understand HundredsWhat Makes a Hundred?
Lesson 2-2: Understand 3-digit numbersWhat’s the Value?
Lesson 2-3: Read and Write Numbers to 1000All the Ways!
Lesson 2-4: Decompose 3-digit numbersA New Representation

Unit 3: Patterns within Numbers

Lesson 3-1: Counting PatternsInvestigate: A Mistake in Mom’s Office
Lesson 3-2: Patterns when Skip Counting by 5?What’s that Number?
Lesson 3-3: Patterns when Skip Counting by 10s and 100sLooking for Patterns

Unit 4: Meanings of Addition and Subtraction

Lesson 4-7: Represent and Solve Compare ProblemsAwesome Aquariums

Unit 5: Strategies to Add Fluently Within 100

Lesson 5-9: Add More Than Two NumbersHow Much Money?

Unit 7: Measure and Compare Lengths

Lesson 7-10: Solve Problems using LengthLengths of Jungle Animals

Unit 8: Measurement, Time and Money

Lesson 8-1: Understand the Value of CoinsDiscovering Coins (Part I)
Discovering Coins (Part 2)
Lesson 8-2: Solving Money Problems Using CoinsHow Much Money?

Unit 9: Strategies to Add 3-Digit Numbers

9-2: Represent Addition with 3-Digit NumbersThere’s Something About Berries
9-3: Represent Addition with 3-Digit Numbers With RegroupingBaking with Skunk

Unit 11: Data Analysis

Lesson 11-5: Understand Line PlotsMessy Measurements
Lesson 11-6: Show Data on a Line PlotBracelets and Wristbands

Grade 3

Unit 2: Use Place Value Fluently to Add and Subtract within 1001

Lesson 2-3: Estimate Sums and DifferencesAdding Strategically
Lesson 2-6: Use Partial Sums to AddWhat is an Algorithm
Lesson 2-10: Fluently Add Within 1,000How Would You Solve It?
Determining the Sum of 2 or More Addends

Unit 3: Multiplication and Division

Lesson 3-1: Understand Equal GroupsEqual Groups
Lesson 3-3: Understand the Commutative PropertyArrays of Flavor
Lesson 3-7: Find the UnknownIt’s Chilli In Here!

Unit 4: Use Patterns to Multiply by 0,1, 2, 5 and 11

Lesson 4-6: Solve Problems Using Equal GroupsDivision and Multiplication Equations

Unit 6: Connect Area and Multiplication

Lesson 6-1: Understand AreaTiling Figures
Lesson 6-2: Count Unit Squares to Determine AreaRectangles and Arrays
Unit 2: Lesson 4: Area Hunt

Unit 7: Fractions

Lesson 7-5: Represent Whole Numbers as FractionsCat Crossing
Lesson 7-6: Represent a Greater Than One on a Number LineFractions on the Number Line

Unit 9: Use Multiplication to Divide

Lesson 9-1: Use Multiplication to Solve Division ProblemsRelating Quotients to Familar Products

Unit 12: Measurement and Data

Lesson 12-10: Measure to Halves or Fourths of an InchHow Long Is It?
More Precise Measurements
Lesson 12-11: Show Measurement Data on a Line PlotThe Plot Chickens

Unit 13: Describe and Analyze 2-Dimensional Shapes

Lesson 13-1: Describe and Classify PolygonsPiho’s Shapes
Lesson 13-2: Classify QuadrilateralsRectangles, Squares and Rhombuses

Grade 4

Unit 4: Multiplication as Comparison

Lesson 4-1: Understanding Comparing with MultiplicationRepresenting “Times as Many”
Lesson 4-2: Represent Comparison ProblemsSticker Mania
Lesson 4-3: Solve Comparison Problems Using MultiplicationGoing Swimming

Unit 5: Numbers and Number Patterns

Lesson 5-1: Understand Factors of a NumberHamster Homes
Lesson 5-3: Understand MultiplesFactor or Multiple
Lesson 5-4: Number or Shape PatterrnsHow Does it Grow?
Lesson 5-5: Generate a PatternHow Does it Grow?

Unit 6: Multiplication Strategies with Multi-Digit Numbers

Lesson 6-2: Estimate ProductsA Reasonable Answer
Lesson 6-4: Multiply 2-Digit by 1-Digit FactorsCounting Flowers for Lei
Lesson 6-5: Multiply Multi-Digit 1-Digit FactorsA Lei Making Workshop
Lesson 6-7: Multiply 2-Digit FactorsDouble Decomposition

Unit 9: Addition and Subtractions Meanings and Strategies with Fractions

Lesson 9-2: Represent Adding FractionsPizza Problems
Lesson 9-3: Add Fractions with Like DenominatorsPizza Problems
Lesson 9-4: Represent Subtracting FractionsPizza Problems
Lesson 9-5: Subtract Fractions with Like DenominatorsPizza Problems
Lesson 9-6: Solve Problems Using FractionsPizza Problems

Unit 10: Addition and Subtraction Strategies with Mixed Numbers

Lesson 10-1: Understand Decomposing Mixed NumbersMath Pizzeria

Unit 11: Multiply Fractions by Whole Numbers

Lesson 11-1: Represent Multiplication of a Unit Fraction by a Whole NumberEqual Groups of Fractions

Unit 12: Decimal Fractions

Lesson 12-2: Understand Decimal NotationA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-3: Compare DecimalsCan You Compare?

Grade 5

Unit 2: Volume

Lesson 2-2: Use Unit Cubes to Determine VolumePutting It Together
Lesson 2-3: Use Formula to Determine VolumePutting It Together
Lesson 2-4: Determine the Volume of Composite FiguresFigures Made of Prisms

Unit 3: Place Value and Number Relationships

Lesson 3-1: Generalize Place ValuePlace Value Patterns
Lesson 3-4: Compare DecimalsSelling Collectibles
Lesson 3-5: Use Place Value to Round DecimalsWhich Way Down the Mountain?

Unit 5: Multiply Multi-Digit Whole Numbers

Lesson 5-1: Understand Powers and ExponentsMonarch Butterflies
Lesson 5-2: Patterns When Multiplying a Whole Number by Powers of 10All About that Base
Lesson 5-5: Use Partial Products to Multiply Multi-Digit FactorsHow Do They Compare?
Lesson 5-6: Relate Partial Products to an AlgorithmPatrial Products Everywhere
Lesson 5-7: Multiply Multi-Digit Factors FluentlyPatrial Products Everywhere

Unit 6: Multiply Decimals

Lesson 6-1: Patterns when Multiplying Decimals by Powers of 10Powers of 10 Parade

Unit 7: Divide Whole Numbers

Lesson 7-5: Use Partial Quotients to DivideEmptying the Water Tank

Unit 8: Divide Decimals

Lesson 8-1: Division Patterns with Decimals and Patterns of 10Powers of 10 Parade

Unit 10: Multiply Fractions

Lesson 10-3: Represent Multiplication of a Fraction By A FractionMaking Food
Lesson 10-4: Multiply a Fraction By A FractionMaking Food
Lesson 10-5: Determine the Area of Rectanges with Fractional Side LengthsInstalling Turf
Lesson 10-6: Represent Multiplication of Mixed NumbersInstalling Turf
Lesson 10-7: Multiply Mixed NumbersInstalling Turf

Unit 13: Geometry

Lesson 13-2: Plot Ordered Pairs on the Coordinate PlaneBullseye!

Grade 6

Module 1: Ratios and Rates

Reveal MathAmplify Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathAmplify Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathAmplify Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade K

Unit 1: Count Sequence and Numbers to 5

Module 1: Represent Numbers to 5 with Objects

Lesson 1: Represent 1 and 2Connecting Cubes
Lesson 2: Represent 3 and 4Skye’s Style
Matching Groups
Designing Shoes With Skye

Unit 2: Count Sequence and Numbers to 10

Module 7: Represent Numbers 6 to 10 with Objects

Module 10: Compare Numbers to 10

Lesson 4: Compare Groups Within 10 by CountingMore, Fewer, or the Same
Fingers and Counters
Lesson 5: Compare Groups Within 10 by MatchingComparing Words
Forest Friends

Module 11: Add To and Take From Within 10

Module 12: Put Together and Take Apart Within 10

Lesson 3: Solve Put Together Problems Within 10How Many Objects in Pictures?
How Will You Count?
What Does It Mean to Add?
Lesson 4: Solve Take Apart Problems Within 10What Does It Mean to Subtract?
Lesson 5: Solve Word Problems Within 10The Bus Depot

Module 13: Ways to Make Numbers to 10

Lesson 4: Ways to Make 10Harry’s Hamster Wheel
Harry Explores Space
Lesson 5: Make 10 From a Given NumberShowing What We Know About 10
Lesson 1: Ways to Make 6 and 7Harry Explores the Ocean

Unit 3: Geometry

Module 14: Analyze and Compare Three-Dimensional Shapes

Module OpenerWhat’s That Shape?
Lesson 5: Build ShapesBuilding Solid Shapes

Module 15: Describe Position of Objects

Module 16: Analyze and Compare Two-Dimensional Shapes

Lesson 7: Compare Two-Dimensional and Three-Dimensional ShapesSo Much Sorting
What’s That Shape Called?
Another Shape

Unit 4: Number and Operations in Base Ten

Module 17: Place Value Foundations-Represent Numbers to 20

Lesson 3: Compose Ten Ones and Some More Ones to 19Investigate: Packing Snacks
Lesson 4: Represent Numbers to 20Getting Ready for the Game
How Many on the Field?
Pass, Shoot, Score

Module 18: Place Value Foundations-Represent Number to 20 with a Written Numeral

Lesson 1: Count and Write 11 to 14Jersey Jam!
Lesson 3: Count and Write 16-19People at the Park

Grade 1

Unit 1: Ways to Add and Subtract

Module 2: Subtraction Strategies

Lesson 2.1: Represent SubtractionPacking a Picnic
Lesson 2.2: Count BackWhat’s the Difference?
Lesson 2.3: Count on to SubtractLeaping Lily Pads!

Module 3: Properties of Operations

Lesson 3.6: Determin Equatl and Not EqualReplanting Huli

Module 4: Apply Addition and Subtraction Relationships

Lesson 4.2: Represent Related FactsSame Number, Different Ways
Lesson 4.3: Identify Related FactsKitten Coaster
Lesson 4.6: Solve for Unknow AddendTutu’s Garden in Maui

Module 5: Understand Add to and Take From Problems

Lesson 5.4: Solve Add To and Take From ProblemsA Community Working Together
Helping Others
Making 10

Module 6: Understand Put Together and Take Apart Problems

Lesson 6.3: Represent Addend and Unknown Problems with Objects and DrawingInvestigate: Let’s Grow!

Module 8: Data

Lesson: 8.2 Represent Data with Picture GraphsShapes Ying Saw

Unit 3: Numbers to 120

Module 10: Count and Represent Numbers

Lesson 10.4: Decompose Numbers in Different WaysInvestigate: Game Points
Lesson 10.5: Represent, Read, and Write Numbers from 100 to 110From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans
Lesson 10.5: Represent, Read, and Write Numbers from 110 to 120From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans

Unit 4: Addition and Subtractoin in Base Ten

Module 12: Understand Addition and Subtraction with Tens and Ones

Lesson 12.1: Representing Adding TensMeeting Yara
It’s a Match
From Park to Table
Lesson 12.3: Add and Subtract TensHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Module 13: Two-Digita Addition and Subtraction

Lesson 13.1: Use Hundred Charts to Show Two-Digit Addtion and Subtraction.Investigate: Squashes at the Playground
Lesson 13.2: Understand and Explain Place Value AdditionTown Helpers
Making Squash Butter

Unit 6: Measurment

Module 16: Fraction Foundations

Lesson 16.1: TAke Apart Two-Dimensional ShapesFair and Square
Lesson 16.2: Identify Equal or Unequal PartsOne of the Parts, All of the Parts
Lesson 16.4: Partition Shapes into FourthsA Bigger Part

Grade 2

Unit 1: Numbers and Data

Module 1: Fluency for Addition and Subtraction Within 20

Lesson 1.5: Use the Make a Ten Strategy to AddExploring Within 10
Ways to Make 10

Module 1: Fluency for Addition and Subtraction Within 21

Lesson 1.6: Use a Tens Fact to SubtractExploring Within 10
Ways to Make 10

Module 2: Equal Groups

Lesson 2.1: Identify Even and Odd NumbersCan You Share?
Is It Even or Odd?
Lesson 2.2: Write Equations to Represent Even NumbersEverybody, Find A Partner!

Module 3: Data

Lesson 3.5: Draw bar graphs to Represent DataAwesome Aquariums

Unit 2: Place Value

Module 4: Understand Place Value

Lesson 4.1: Group Tens as HundredsWhat Makes a Hundred?
Lesson 4.2: Understand Three-Digit NumbersWhat’s the Value?
Lesson 4.4: Represent Numbers with Hundreds, Tens, and OnesMail Call!
What’s Your Name?

Module 5: Read, Write, and Show Numbers to 1000

Lesson 5.3: Different Ways to Write NumbersA New Representation
Lesson 5.4: Different Ways to Show NumbersAll the Ways!

Module 6: Use Place Value

Lesson 6.1: Count Within 1000Investigate
Turtle Hurdle
Lesson 6.5: Use Symbols to Compare NumbersTime to Line Up!

Unit 3: Money and Time

Module 7: Coins

Lesson 7.1: Relate Place Value to CoinsInvestigate
Lesson 7.2 Identify and Find Value of CoinsDiscovering Coins (Part 1)
Lesson 7.3: Compute the Value of Coin CombinationsHow Much Money?
Lesson 7.4: Show Amounts in Different WaysDiscovering Coins (Part 2)
The Toy Stand

Module 8: Dollar Amounts

Lesson 8.3: Solve Problems Involving MoneyThe Craft Stand at the Block Party

Unit 5: Three-Digita Addition and Subtraction

Module 16: Three-Digit Addition

Lesson 16.1: Use Drawing to Represent Three-Digit AdditionThere’s Something About Berries
Lesson 16.2: Decomposte Three-Digit AddendsBaking With Skunk

Unit 6: Measurement

Module 18: Lengths in Inches, Feet, and Yards

Lesson 18.4: Make Line Ploits to Show Measurement DataMessy Measurements
Bracelets and Wristbands

Module 20: Relate Addition and Subtraction to Length

Lesson 20.1: Relate Inches to a Number LineInvestigate
Time to Line Up!
What’s That Number?
Lesson 20.2: Add and Subtract Lengths in InchesLengths of Jungle Animals
Lesson 20.3: Relate Centimeters to a Number LineInvestigate
Time to Line Up!
In Full Bloom

Unit 7: Geometry and Fractions

Module 21: Two- and Three- Dimensional Shapes

Lesson 21.2 Identify and Draw Three-Dimensional ShapesMore to Measure
Lesson 21.2: Identify and Draw Two-Dimensional ShapesFrame It!
Measure It, Draw It

Grade 3

Unit 1: Understand Multiplication and Area

Module 1: Understand Multiplication

Lesson 1.1: Count Equal GroupsEqual Groups
Lesson 1.3: Represent Multiplication with ArraysArrays of Flavor
Lesson 1.4: Understand the Commutative Property of MultiplicationArrays of Flavor

Module 2: Relate Multiplication and Area

Lesson 2.1 Understand Area by Counting Unit SquareInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 2.2: Measuring Area by Counting Unit SquaresTiling Figures
Area Hunt
Lesson 2.3: Relate Area to Addition and MultiplicationRectangles and Arrays

Unit 2: Multiplication and Division

Module 7: Relate Multiplication and Division

Lesson 7.7: Build Fluency with Multiplication and DivisionRelating Quotients to Familiar Products

Module 8: Apply Multiplication and Division

Lesson 8.3: Use Multiplication and Division to Solve Problem SituationsIt’s Chili in Here!
Lesson 8.4: Solve Two-Step ProblemsDivision and Multiplication Equations

Unit 3: Addition and Subtraction Strategies

Module 9: Addition and Subtraction Strategies

Lesson 9.3: Use Properties to AddHow Would You Solve It?
Lesson 9.4: Use Mental Math to Assess ReasonablenessAdding Strategically

Module 10: Addition and Subtraction Within 1000

Lesson 10.1: Use Expanded Form to AddWhat Is an Algorithm?
Lesson 10.2: Use Place Value to AddAdding Your Way
Using Fewer Digits
Lesson 10.5: Choose a Strategy to Add or SubtractDetermining Sums of 2 or More Addends

Unit 4: Fractions

Module 13: Understand Fractions as Numbers

Lesson 13.4: Represent and Name Fractions on a Number LineFractions on the Number Line
Lesson 13.5: Express Whole Numbers as FractionsCat Crossing
Lesson 13.6: Represent and Name Fractions Greater Than 1Location, Location, Location

Unit 5: Measurement and Data

Module 18: Represent and Interpret Data

Lesson 18.4: Make a Bar GraphPuppy Pile
2, 5, or 10?
Egg-cellent Pick
Lesson 18.5: Use Line Plots to Display Measurement DataHow Long Is It?
More Precise Measurements
Same Lengths, Different Names
Lesson 18.6: Make Line Plots to Display Measurement DataThe Plot Chickens
Let’s Make a Line Plot

Unit 6: Geometry

Module 19: Define Two-Dimensional Shapes

Lesson 19.1: Describe ShapesPiho’s Shapes
Lesson 19.4: Define QuadrilateralsRectangles, Squares, and Rhombuses

Module 20: Categorize Two-Dimensional Shapes

Lesson 20.1: Draw QuadrilateralsMore Quadrilaterals

Grade 4

Unit 1: Place Value and Whole Number Operations

Module 3: Interpret and Solve Problem Situations

Lesson 3.1: Explore Multiplicative ComparisonsSticker Mania
Lesson 3.4: Use Comparison to Solve Problem SituationsRepresenting “Times as Many”
Going Swimming

Unit 2: Multiplication and Division Problems

Module 4: Mental Math and Estimation Strategies

Lesson 4.3: Estimate Products by 1-Digit NumbersA Reasonable Answer

Module 5: Multiply by 1-Digit Numbers

Lesson 5.1: Represent MultiplicationInvestigate: Packing Lei
Lesson 5.2: Use Area Models and the Distributive Property to MultiplyCounting Flowers for Lei
Lesson 5.4: Multiplying Using Partial ProductsThree of a Kind
Lesson 5.6: Multiplying 3-Digit and 4-Digit NumbersA Lei Making Workshop

Unit 3: Extend and Apply Multiplication

Module 8: Extend and Apply Multiplication

Lesson 8.1: Multiply with TensGrowing Flowers for the Lei
Lesson 8.3: Relate Area Model and Partial ProductsDouble Decomposition
Lesson 8.4: Multiplying Using Partial ProductsRevisiting Strategies
Lesson 8.7: Solve Multi-step Problems and Assess ReasonablenessHow Many Supplies?

Unit 4: Fractions and Decimals

Module 10: Algebraic Thinking and Number Theory

Lesson 10.1: Investigate FactorsHamster Homes
Lesson 10.2: Identify FactorsFactor or Multiple?
Lesson 10.4: Identify Prime and Composite NumbersA Number Game
Lesson 10.5 Generate and Analyze Number PatternsHow Does It Grow?

Module 11: Fraction Equivalence and Comparison

Lesson 11.1: Compare Fractions Using Viaula ModelsInvestigate: Building Your Own Number Line
Lesson 11.2: Compare Fractions Using BenchmarksFraction Strips
Lesson 11.6: Compare Fractions Using Common DenominatorsChop It
Lesson 11.7: Use Comparison to Order FractionsAll Kinds of Fractions

Module 12: Relate Fractions and Decimals

Lesson 12.1: Represent Tenths as Fractions and DecimalsA New Way to Write Tenths
Lesson 12.2 Represent Hundredths as Fractions and DecimalsA New Way to Write Hundredths
Lesson 12.3: Identify Equivalent Fractions and DecimalsAre They Equivalent?
Lesson 12.4: Compare DecimalsHow Can You Compare?
Robot Factory
What’s the Order

Module 13: Use Fractions to Understand Angles

Lesson 13.2: Explore AnglesAngle Adventures
Lesson 13.3: Relate Angles to Fraction Part of a CircleThe Spin on Angles
Lesson 13.6: Join and Separate AnglesAngles in Motion

Module 14: Understand Addition and Subtraction of Fractions with Like Denominators

Lesson 14.2: Joining Parts of the Same WholePizza Problems

Module 15: Add and Subtract Fractions and Mixed Numbers with Like Denominators

Lesson 15.1: Add and Subtract Fractions to Solve ProblemsMath Pizzeria

Unit 6: Two-Dimensional Figures and Symmetry

Module 18: Symmetry and Patterns

Lesson 18.3: Generate and Identify Shape PattersHow Does It Grow?

Grade 5

Unit 1: Whole Numbers, Expressions, and Volume

Module 1: Whole Number Place Value and Multiplication

Lesson 1.3: Use a Pattern to Multiply by Multiplies of 10, 100, and 1000Partial Products Everywhere
Monarch Butterflies
All About That Base
Lesson 1.5: Multiply Multi-Digit NumbersHow Do They Compare?

Module 2: Understand Division of Whole Numbers

Lesson 2.4: Use Partial QuotientsEmptying the Water Tank

Module 5: Volume

Lesson 5.2: Understand VolumeWhich is Largest
Lesson 5.3: Estimate VolumePacking the Barge
Lesson 5.6: Find Volume of Composed FiguresPutting it Together
Figures Made of Prisms

Unit 3: Multiplying Fractions and Mixed Numbers

Module 8: Understand Multiplication of Fractions

Lesson 8.1: Explore Groups of Equal Shares to Show MultiplicationInvestigate: Sharing Sandwiches
Investigate: Folding Paper
Lesson 8.2: Represent Multiplication of Whole Numbers by FractionsSharing More Sandwiches
Lesson 8.3: Represent Multiplication with Unit FractionOne Part of One Part
Lesson 8.4: Represent Multiplication of FractionsDance Breaks
Parts of Parts
Making Food
Lesson 8.5: Use Representations of Area to Develop ProceduresOne Part of One Part
Installing Turf
Rows and Columns
Lesson 8.6: Interpret Fraction Multiplication as ScalingChores at Animal Haven
The Re-size-inator
Lesson 8.7: Multiplying FractionsMessy Multiplication

Module 9: Understand and Apply Multiplication of Mixed Numbers

Lesson 9.3: Practice Multiplication with Fractions and Mixed NumbersMessy Multiplication
Applying Fraction Multiplication

Unit 4: Divide Fractions and Convert Customary Units

Module 10: Understand Division with Whole Numbers and Unit Fractions

Lesson 10.1: Interpret a Fraction as DivisionDivision Story Problems
Making Generalizations

Unit 5: Add and Subtract Decimals

Module 13: Decimal Place Value

Lesson 13.1: Understand ThousandthsWhat Is One Thousandth?
Lesson 13.2: Read and Write Decimals to ThousandthsSay What?
Lesson 13.3: Round DecimalsWhich Way Down the Mountain?
Rounding Races
Lesson 13.4: Compare and Order DecimalsInvestigate: Numbers Between Numbers
The Claw
Selling Collectibles

Unit 6: Multiply Decimals

Module 15: Multiply Decimals and Whole Numbers

Lesson 15.1: Understand Decimal Multiplication PatternsPlace Value Patterns
Powers of 10 Parade

Unit 7: Divide Decimals and Convert Customary Units

Module 17: Understand Decimal Division Patterns

Lesson 17.1: Understand Decimal Division PatternsPowers of 10 Parade

Unit 8: Graphs, Patterns, and Geometry

Module 19: Graphs and Patterns

Lesson 19.1: Describe a Coordinate SystemCreating a Coordinate System
Lesson 19.2: Understand Ordered PairsBullseye!
Lesson19.4: Generate and Identify Numerical PattermsCoordinating Satellite Repairs

Grade 6

Unit 1: Number Systems and Operations

Module 1: Integer Concepts

Lesson 1: Identify and Interpret IntegersCan You Dig It?
Lesson 2: Compare and Order Integers on a Number LineOrder in the Class

Module 3: Fraction Division

Lesson 1: Understand Fraction DivisionFlour Planner
Fill the Gap

Module 4: Fluency with Multi-Digit Decimal Operations

Lesson 1: Add and Subtract Multi-Digit DecimalsDishing Out Decimals
Decimal Diagrams and Algorithms
Lesson 4: Divide Multi-Digit DecimalsMovie Time

Unit 2: Ratio and Rate Reasoning

Module 5: Ratio and Rates

Lesson 1: Understand the Concept and Language of RatiosPizza Maker
Lesson 2: Represent Ratios and Rates with Tables and GraphsFruit Lab
Disaster Preparation
Lesson 3: Compare Ratios and RatesModel Trains
Lesson 4: Find and Apply Unit RatesWorld Records
Lesson 5: Solve Ratio and Rate Problems Using Proportional ReasoningWelcome to the Robot Factory
More Soft Serve

Module 6: Apply Ratios and Rates to Measurement

Lesson 2: Use Rate Reasoning to Convert withing Measurement SystemsSoft Serve
Many Measurements

Module 7: Understand, Express, and Compare Percent Ratios

Lesson 1: Understand, Express, and Compare Percent RatiosLucky Duckies

Unit 3: Expressions, Equations, and Inequalities

Module 8: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions to Model SituationsProducts and Sums

Module 9: Solve Problems Using Equations and Inequalities

Lesson 1: Write Equations to Represent SituationsWeight for It
Five Equations
Lesson 2: USe Additions and Subtraction Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 3: Use Multiplication and Division Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 4: Use One-Step Equations to Solve a Variety of ProblemsSwap and Solve
Lesson 5: Write and Graph InequalitiesTunnel Travels

Module 10: Real-World Relationships Between Variables

Lesson 1: Represent Equations in Tables and GraphsSubway Fares
Lesson 2: Write Equations from Verbal DescriptionsSubway Fares

Unit 4: Relationships in Geometry

Module 11: Polygons on the Coordinate Plane

Lesson 4: Find the Perimeter and Area on the Coordinate PlaneShapes on a Plane

Module 12: Area of Triangles and Special Quadrilaterals

Lesson 1: Develop and Use the Formula for Area of ParallelogramsExploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 2: Develop and Use the Formula for Area of TrianglesExploring Triangles
Triangles and Parallelograms
Off the Grid, Part 2
Lesson 3: Develop and Use the Formula for Area of TrapezoidsPile of Polygons
Lesson 4: Find Area of Composite FiguresPuzzling Areas
Letters

Module 13: Surface Area and Volume

Lesson 1: Explore Nets and Surface AreaRenata’s Stickers

Unit 5: Data Collection and Analysis

Module 14: Data Collection and Displays

Lesson 2: Display Data in Dot PlotsMinimum Wage
Lesson 3: Make Histograms and Frequency TablesThe Plot Thickens

Module 15: Measure of Center

Lesson 2: Find Measures of CenterToy Cars
Lesson 3: Choose a Measure of CenterHoops

Grade 7

Unit 1: Proportional Relationships

Module 1: Identify and Represent Proportional Relationships

Lesson 1: Explore RelationshipsPaint
Lesson 2: Recognize Proportional Relationships in TablesTwo and Two
Lesson 3: Compute Unit Rates Involving FractionsDinoPops
Lesson 4: Recognize Proportional Relationships in GraphsScale Factor Challenges
Lesson 5: Use Proportional Relationships to Solve Rate ProblemsScaling Robots
Lesson 6: Practice Proportional Reasoning with Scale DrawingsScaling Machines
Make it Scale
Tiles
Will It Fit

Module 2: Proportional Reasoning with Percents

Lesson 1: Percent ChangeMosaics
Percent Machines
Lesson 2: Markups and DiscountsMore and Less
All the Equations
Lesson 3: Taxes and Gratuities100%
Lesson 5: Simple InterestBack in My Day

Unit 2: Rational Number Operations

Module 3: Understand Addition and Subtraction of Rational Numbers

Lesson 1: Add or Subtract a Positive Integer on a Number lineFloats and Anchors
Lesson 3: Use a Number Line to Add and Subtract Rational NumbersDraw Your Own

Module 4: Add and Subtract Rational Numbers

Lesson 1: Compute Sums of IntegersMore Floats and Anchors
Lesson 2: Compute Differences of IntegersMore Floats and Anchors
Lesson 4: Apply Properties to Multi-step Addition and Subtraction ProblemsInteger Puzzles

Unit 3: Model with Expressions, Equations, and Inequalities

Module 7: Solve Problems Using Expressions and Equations

Lesson 1: Write Linear Expressions in Different Forms for Different SituationsCollect the Squares
Lesson 3: Write Two-Step Equations for SituationsKeeping it True
Lesson 5: Apply Two-Step Equations fo Find Angle MeasuresFriendly Angles
Missing Measures

Module 8: Solve Problems Using Inequalities

Lesson 1: Understand and Apply Properties to Solve One-Step InequalitiesI Saw the Signs
Lesson 2: Write Two-Step Inequalities for SituationsUnbalanced Hangers
Shira the Sheep
Lesson 3: Apply Two-Step Inequalities to Solve ProblemsBudgeting
Write Them and Solve Them

Unit 4: Geometry

Module 9: Draw and Analyze Two-Dimensional Figures

Lesson 2: Draw Circles and Other FiguresCan You Build It

Module 10: Analyze Figures to Find Circumference and Area

Lesson 1: Derive and Apply Formulas for CircumferenceMeasuring Around
Lesson 2: Derive and Apply a Formula for the Area of a CircleWhy Pi?
Lesson 4: Areas of Composite FiguresArea Challenges

Unit 5: Sampling and Data Analysis

Module 13: Use Statistics and Graphs to Compare Data

Lesson 3: Compare Means Using MAD and Repeated SamplingCrab Island

Module 14: Understand and Apply Experimental Probability

Lesson 1: Understand Probability of an EventHow Likely
Lesson 2: Find Experimental Probability of Simple EventsProb-bear-bilities

Module 15: Find Theoretical Probability of Simple Events

Lesson 1: Find Theoretical Probability of Simple EventsIs It Fair?

Grade 8

Unit 1: Transformational Geometry

Module 1: Transformations and Congruence

Module 2: Transformations and Similarity

Lesson 1: Investigate Reductions and EnlargementsSketchy Dilations
Lesson 2: Explore DilationsDilation Mini Golf
Lesson 3: Understand and Recognize Similar FiguresSocial Scavenger Hunt

Unit 2: Linear Equations and Applications

Module 3: Solve Linear Equations

Lesson 1: Solve Multi-Step Linear EquationsEquation Roundtable
Lesson 3: Apply Linear Equations

Module 4: Angle Relationships

Lesson 1: Develop Angle Relationships for TrianglesPuzzling It Out
Lesson 3: Explore Prarallel Lines Cut by a TransversalPuzzling It Out

Unit 3: Relationships and Functions

Module 5: Proportional Relationships

Lesson 2: Derive y = mxTurtle Time Trials
Lesson 3: Interpret and Graph Proportional RelationshipsTurtle Time Trials
Lesson 4: Compare Proportional RelationshipsTurtle Time Trials

Module 6: Understand and Analyze Functions

Lesson 1: Understand and Graph FunctionsGuess My Rule
Lesson 2: Derive and Interpret y = mx + bFlags
Translations
Lesson 3: Interpret Rat of Change and Initial ValueStacking Cups (Optional)
Lesson 4: Construct FunctionsWater Cooler
Lesson 5: Compare FunctionsUps and Downs
Lesson 6: Describe and Sketch Nonlinear FunctionsTurtle Crossing
The Tortoise and the Hare

Module 7: Systems of Linear Equations

Lesson 1: Represent Systems by GraphingMake Them Balance
Lesson 2: Solve Systems by GraphingLine Zapper

Unit 4: Statistics and Probability

Module 8: Scatter Plots

Lesson 1: Construct Scatter Plots and Examine AssociationRobots
Dapper Cats
Lesson 2: Draw and Analyze Trend LinesInterpreting Scatter Plots
Find the Fit (called Fit Fights in Desmos Math)
Lesson 3: Interpret Linear Data in ContextInterpreting Slopes
Scatter Plot City
Animal Brains

Module 9: Two-Way Tables

Lesson 1: Construct and Interpret Two-Way Frequency TablesFinding Associations
Lesson 3: Interpret Two-Way Relative Freqency TablesFinding Associations

Unit 5: Real Numbers and the Pythagorean Theorem

Module 10: Real Numbers

Lesson 2: Investigate RootsRoot Down

Module 11: The Pythagorean Theorem

Lesson 1: Prove the Pythagorean TheoremTriangle Tracing Turtle
Lesson 3: Apply the Pythagorean TheoremTaco Truck

Unit 6: Exponents, Scientific Notation, and Volume

Module 12: Exponents and Scientific Notation

Lesson 1: Know and Apply Properties of ExponentsCircles
Power Pairs
Lesson 2: Understand Scientific NotationSpecific and Scientific (formerly Solar System)
Lesson 3: Compute with Scientific NotationBalance the Scale

Module 13: Volume

Lesson 1: Find Volume of CylindersCylinders
Lesson 2: Find Volumes of ConesCones

Algebra 1

Intro/Launch

Unit 1: Real Numbers and Connections to Algebra

Module 2: Linear Equations and Inequalities in One Variable

Lesson 2.2: Write and Solve EquationsWorking Backwards
Solving Strategies
Same Position
Lesson 2.3: Rewrite Formulas and Solve Literal EquationsVarious Variables
Lesson 2.4: Write and Solve InequalitiesPizza Delivery

Unit 2: Linear Functions and Equations

Module 3: Linear Equations in Two Variables

Lesson 3.1: Linear Equations in Standard FormShelley the Snail
Five Representations
Lesson 3.2: Slopes of Lines and Rates of ChangePlane, Train, and Automobile

Module 4: Linear Functions and Models

Lesson 4.3: Characteristics of Linear FunctionsCraft-a-Graph

Module 5: Relationships Among Linear Functions

Lesson 5.3: Compare Linear FunctionsSubway Seats
Lesson 5.4: Inverses of Linear FunctionsChip the Robot

Unit 3: Build Linear Functions and Models

Module 6: Fit Linear Functions to Data

Lesson 6.1: Scatter Plots, Correlation, and Fitted LinesCorrelation Coefficient
How Hot Is It?
City Slopes
Behind the Headlines
City Data
Lesson 6.2: Residualts and Best-Fit LinesResidual Fruit
Penguin Populations

Module 7: Discrete Linear Functions

Lesson 7.1: Arithmetic Sequences Defined RecursivelySequence Carnival
Lesson 7.2: Arithmetic Sequences Defined ExplicitlyMore Visual Patterns

Module 8: Piecewise-Defined Functions

Lesson 8.1: Graph Piecewise-Defined FunctionsPumpkin Prices

Unit 4: Linear Systems

Module 9: Systems of Linear Equations

Lesson 9.1: Solve Linear Systems by GraphingLizard Lines
Lesson 9.2: Solve Linear Systems by SubstitutionShape It Up

Module 10: Linear Inequalities

Lesson 10.2: Graph Systems of Linear InequalitiesQuilts
Seeking Solutions

Unit 5: Exponential Functions and Equations

Module 11: Exponential Functions and Models

Lesson 11.1: Exponential Growth FunctionsCarlos’s Fish

Unit 6: Build Exponential Functions and Models

Module 13: Fit Exponential Functions to Data

Lesson 13.1: Scatter Plots and Fitted Exponential CurvesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Module 14: Discrete Exponential Functions

Lesson 14.1: Geometric Sequences Defined RecursivelySequence Carnival
Lesson 14.2: Geometric Sequences Defined ExplicitlyMore Visual Patterns

Unit 8: Quadratic Functions and Equations

Module 17: Use Graphing and Factoring to Solve Quadratic Equations

Lesson 17.1: Solve Quadratic Equations by Graphing Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Plenty of Parabolas
Lesson 17.3: Solve Quadratic Equations by Factoring ax^2+bx+cStomp Rockets
Two for One
Robot Launch
Lesson 17.4: Use Special Factoring Patterns to Solve Quadratic EquationsParabola Zapper
Shooting Stars

Module 18: Use Square Roots to Solve Quadratic Equations

Lesson 18.2: Solve Quadratic Equations by Completing the SquareSquare Tactic
Lesson 18.3: Use the Quadratic Formula to Solve EquationsStomp Rockets in Space

Unit 9: Function Analysis

Module 20: Function Analysis

Lesson 20.1: Choose Among Linear, Exponential, and Quadratic ModelsSorting Relationships

Unit 10: Data Analysis

Module 22: Numerical Data

Lesson 22.1: Data Distributions and Appropriate StatisticsFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade K

Unit 1: Position, Length, Height, and Sorting

Lesson 2: Describe and Compare Length and Height, Session 3Connecting Cubes

Unit 2: Numbers to 5, Shapes and Weight

Lesson 4: Count, Show and Write Numbers to 5, Session 2Skye’s Style
Lesson 5: Compare Numbers to 5, Session 4Matching Groups
Lesson 5: Compare Numbers to 5, Session 5Designing Shoes With Skye
Lesson 6: Three-Dimensional Shapes and Weight, Session 1What’s That Shape?
Lesson 6: Three-Dimensional Shapes and Weight, Session 2Building Solid Shapes
Lesson 6: Three-Dimensional Shapes and Weight, Session 5Putting Solid Shapes Together

Unit 3: Addition and Subtractions with 5 and Shapes,

Lesson 8: Two-Dimensional Shapes,
Session 1
So Much Sorting
Lesson 8: Two-Dimensional Shapes,
Session 2
What’s That Shape Called?
Another Shape

Unit 4: Numbers to 10 and Shapes

Lesson 11: Count, Show, and Write Numbers to 10, Session 1Investigate: Cafeteria Math
Fingers as Math Tools
Lesson 12: Compare Numbers to 10, Session 1Moving and Grooving
Fingers and Counters
Lesson 12: Compare Numbers to 10, Session 2More, Fewer, or the Same
Comparing Words
Lesson 12: Compare Numbers to 10, Session 5Forest Friends
Lesson 14: Compose and Decompose 10, Session 2Harry’s Hamster Wheel
Lesson 14: Compose and Decompose 10, Session 3Harry Explores Space
Lesson 14: Compose and Decompose 10, Session 4Showing What We Know About 10
Lesson 14: Compose and Decompose 10, Session 5Harry Explores the Ocean

Unit 6: Addition and Subtraction Within 10

Lesson 20: Add Within 10, Session 1Investigate: Casey’s Town
What Does It Mean to Add?
Lesson 20: Add Within 10, Session 2How Many Objects?
Lesson 20: Add Within 10, Session 3How Many Objects in Pictures?
How Will You Count?
Lesson 21: Subtract Within 10, Session 1What Does It Mean to Subtract?
Lesson 22: Add and Subtract to Solve Wold Problems, Session 1The Bus Depot

Unit 7: Teen Numbers and Shapes

Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 2Investigate: Packing Snacks
Getting Ready for the Game
Pass, Shoot, Score
Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 3How Many on the Field?
Lesson 25: Compose and Decompose Teen Numbers with Symbols, Session 2Jersey Jam!
People at the Park

Grade 1

Unit 1: Relating Addition and Subtraction

Lesson 2: Add and Subtract Within 10, Session 1What’s the Difference?
Leaping Lily Pads!
Investigate: Let’s Grow!
Lesson 2: Add and Subtract Within 10, Session 3Packing a Picnic
Lesson 5: Solve Word Problems to 10, Session 2Tutu’s Garden in Maui
Lesson 5: Solve Word Problems to 10, Session 2Replanting Huli
Lesson 5: Solve Word Problems to 10, Session 3The Kalo Plants
Lesson 5: Solve Word Problems to 10, Session 4A Community Working Together
Lesson 5: Solve Word Problems to 10, Session 5Helping Others

Unit 2: Addition and Subtraction Within 20

Lesson 6: Teen Numbers, Session 2Same Number, Different Ways
Lesson 7: Add Three Numbers, Session 2Making 10
Kitten Coaster

Unit 4: Using Tens and Ones to Organize and Count

Lesson 15: Tens and Ones, Session 1Investigate: Game Points
Lesson 15: Tens and Ones, Session 3Meeting Yara
It’s a Match
Lesson 16: Numbers to 120, Session 1How Many Cubes?
Boris’s Thimbles
Lesson 21: Add Two-Digit Numbers, Session 1How Many Tens?
Investigate: Squashes at the Playground
Lesson 21: Add Two-Digit Numbers,
Session 2
Town Helpers
Lesson 21: Add Two-Digit Numbers,
Session 3
Making Squash Butter

Unit 5: Operations with Tens and Ones

Lesson 19: Addition with Two-Digit Numbers, Session 2From Park to Table

Unit 6: Geometry and Measurement

Lesson 22: Shapes, Session 1Shapes Ying Saw
Lesson 23: Break Shapes Into Equal Parts, Session 2Fair and Square
One of the Parts, All of the Parts
Lesson 23: Break Shapes Into Equal Parts, Session 5A Bigger Part

Grade 1 (ADM G2)

Unit 1: Relating Addition and Subtraction

Lesson 1: Partner Pairs for 10, Session 3Ways to Make 10
Lesson 2: Add and Subtract Within 10, Session 3Exploring Within 10

Grade 2

Unit 1: Numbers Within 20

Lesson 2: Using Mental Math Strategies to Subtract, Session 1Awesome Aquariums

Unit 2: Numbers Within 100

Lesson 10: Solve Word Problems Involving Money, Session 1Investigate
Lesson 10: Solve Word Problems Involving Money, Session 2Discovering Coins (Part 1)
The Toy Stand
Lesson 10: Solve Word Problems Involving Money, Session 3How Much Money?
Discovering Coins (Part 2)
Lesson 10: Solve Word Problems Involving Money, Session 4The Craft Stand at the Block Party

Unit 3: Numbers Within 1000

Lesson 12: Three-Digit Numbers, Session 1Investigate: A Mistake in Mom’s Office
What Makes a Hundred?
Lesson 12: Three-Digit Numbers, Session 2Looking for Patterns
Lesson 13: Read and Write Three-Digit Numbers, Session 1What’s the Value?
Lesson 13: Read and Write Three-Digit Numbers, Session 2Mail Call!
Lesson 13: Read and Write Three-Digit Numbers, Session 3A New Representation
What’s Your Name?
All the Ways!
Lesson 15: Mental Addition and Subtraction, Session 2Turtle Hurdle
Lesson 16: Add Three-Digit Numbers, Session 2There’s Something About Berries
Lesson 18: Using Addition and Subtraction Strategies with Three-Digit Numbers, Session 2Baking With Skunk

Unit 4: Length

Lesson 25: Solving Problems About Length, Session 2Lengths of Jungle Animals
Lesson 27: Sorting and Organizing Data, Session 1Messy Measurements
Lesson 27: Sorting and Organizing Data, Session 3Bracelets and Wristbands
Lesson 26: Add and Subtract on the Number Line, Session 1Investigate
Time to Line Up!
In Full Bloom
Lesson 26: Add and Subtract on the Number Line, Session 2What’s That Number?
Lesson 26: Add and Subtract on the Number Line, Session 3Greater Than, Less Than, or Equal to

Unit 5: Shapes and Arrays

Lesson 28: Recognize and Draw Shapes, Session 2Frame It!
Lesson 28: Recognize and Draw Shapes, Session 3Measure It, Draw It
Lesson 32: Even and Odd Numbers,
Session 1
Can You Share?
Lesson 32: Even and Odd Numbers,
Session 2
Everybody, Find A Partner!
Lesson 32: Even and Odd Numbers,
Session 3
Is It Even or Odd?

Grade 2 (ADM G3)

Unit 2: Numbers Within 100

Lesson 6: Adding Two-Digit Numbers, Session 1Panda Patterns
Lesson 12: Understand Three-Digit Numbers, Session 2Investigate: Creating a Photo Gallery
Lesson 16: Add Three-Digit Numbers, Session 2How Would You Solve It?
Adding Your Way
What Is an Algorithm?
Lesson 16: Add Three-Digit Numbers, Session 3Using Fewer Digits
Determining Sums of 2 or More Addends
Lesson 16: Add Three-Digit Numbers, Session 3Adding Strategically

Unit 4: Length

Lesson 27: Read and Make Line Plots, Session 2The Plot Chickens
Let’s Make a Line Plot

Grade 3

Unit 2: Multiplication and Division

Lesson 4: Understand the Meaning of Multiplication, Session 1Equal Groups
Lesson 6: Multiply with 3, 4, and 6, Session 2Rectangles and Arrays
Lesson 8: Use Order and Grouping to Multiply, Session 2Arrays of Flavor
Lesson 11: Understand How Multiplication and Division Are Connected, Session 1It’s Chili in Here!
Lesson 12: Multiplication and Division Facts, Session 3Relating Quotients to Familiar Products

Unit 3: Multiplication

Lesson 19: Scaled Graphs, Session 1Puppy Pile
Lesson 19: Scaled Graphs, Session 42, 5, or 10?
Lesson 14: Understand Area, Session 1Tiling Figures
Lesson 14: Understand Area, Session 2Which Covers More Space?
Lesson 15: Multiply to Find Area, Session 3Area Hunt
Lesson 17: Solve One-Step Word Problems Using Multiplication and Division, Session 2Division and Multiplication Equations

Unit 4: Fractions

Lesson 21: Understand Fractions on a Number Line, Session 1Cat Crossing
Lesson 21: Understand Fractions on a Number Line, Session 2Fractions on the Number Line
Lesson 21: Understand Fractions on a Number Line, Session 3Location, Location, Location

Unit 6: Shapes

Performance TaskInvestigate: Comparing Rugs
Lesson 30: Understand Categories of Shapes, Session 1Piho’s Shapes
Lesson 31: Classify Quadrilaterals, Session 1Rectangles, Squares, and Rhombuses
Lesson 31: Classify Quadrilaterals, Session 3More Quadrilaterals

Grade 4

Unit 2: Operations

Lesson 6: Understand Multiplication as a Comparison, Session 1Sticker Mania
Lesson 6: Understand Multiplication as a Comparison, Session 2Representing “Times as Many”
Going Swimming
Lesson 8: Multiples and Factors, Session 1Hamster Homes
Lesson 8: Multiples and Factors, Session 3Factor or Multiple?
Lesson 8: Multiples and Factors, Session 4A Number Game
Lesson 9: Number and Shape Patterns, Session 1How Does It Grow?

Unit 3: Multi-Digit Operations and Measurement

Lesson 11: Multiply by One-Digit Numbers, Session 1Investigate: Packing Lei
Counting Flowers for Lei
Lesson 11: Multiply by One-Digit Numbers, Session 3A Lei Making Workshop
A Reasonable Answer
Three of a Kind
Lesson 12: Multiply by Two-Digit Numbers, Session 2Growing Flowers for the Lei
Double Decomposition
Lesson 12: Multiply by Two-Digit Numbers, Session 3Revisiting Strategies
How Many Supplies?

Unit 4: Fractions, Decimals, and Measurement

Lesson 17: Understand Equivalent Fractions, Session 1Investigate: Building Your Own Number Line
Fraction Strips
Lesson 18: Understand Equivalent Fractions, Session 3Chop It
All Kinds of Fractions
Lesson 19: Fraction Addition and Subtraction, Session 1Pizza Problems
Lesson 20: Add and Subtract Fractions, Session 4Math Pizzeria
Lesson 24: Multiply Fractions by Whole Numbers, Session 2Equal Groups of Fractions
Lesson 25: Fractions as Tenths and Hundredths, Session 3Investigate: Different Units
Lesson 26: Relate Decimals and Fractions, Session 2A New Way to Write Tenths
A New Way to Write Hundredths
Lesson 26: Relate Decimals and Fractions, Session 4Are They Equivalent?
Lesson 27: Compare Decimals, Session 2How Can You Compare?
Lesson 27: Compare Decimals, Session 3Robot Factory
Lesson 27: Compare Decimals, Session 4What’s the Order

Unit 5: Geometry and Measurement

Lesson 30: Points, Lines, Rays, and Angles, Session 3Angle Adventures
Lesson 31: Angles, Session 1The Spin on Angles
Lesson 32: Add and Subtract with Angles, Session 3Angles in Motion

Grade 5

Unit 1: Whole Number Operations and Applications

Lesson 2: Find Volume Using Unit Cubes, Session 1Which is Largest
Lesson 2: Find Volume Using Unit Cubes, Session 2Packing the Barge
Lesson 3: Find Volume Using Formulas, Session 3Putting it Together
Figures Made of Prisms
Lesson 4: Multiply Multi-Digit Numbers, Session 1Partial Products Everywhere
Lesson 4: Multiply Multi-Digit Numbers, Session 4How Do They Compare?
Lesson 5: Divide Multi-Digit Numbers, Session 4Emptying the Water Tank

Unit 2: Decimals and Fractions

Lesson 6: Understand Decimal Place Value, Session 1Investigate: Numbers Between Numbers
Lesson 6: Understand Decimal Place Value, Session 2What Is One Thousandth?
Lesson 8: Read and Write Decimals,
Session 1
Say What?
Place Value Patterns
Lesson 9: Compare and Round Decimals, Session 2Selling Collectibles
Lesson 9: Compare and Round Decimals, Session 3The Claw
Which Way Down the Mountain?
Lesson 9: Compare and Round Decimals, Session 4Rounding Races
Lesson 7: Understand Powers of 10, Session 1Monarch Butterflies
All About That Base
Powers of 10 Parade

Unit 3: More Decimals & Fractions

Lesson 18: Fractions as Division, Session 1Investigate: Sharing Sandwiches
Division Story Problems
Making Generalizations
Investigate: Folding Paper
Lesson 18: Fractions as Division, Session 2Sharing More Sandwiches
Dance Breaks
Lesson 19: Multiplication by a Fraction, Session 2Parts of Parts
Lesson 20: Multiply Fractions to Find Area, Session 2One Part of One Part
Lesson 20: Multiply Fractions to Find Area, Session 3Making Food
Lesson 22: Multiply Fractions in Word Problems, Session 3Installing Turf
Rows and Columns
Lesson 22: Multiply Fractions in Word Problems, Session 4Messy Multiplication
Applying Fraction Multiplication
Lesson 21: Exploring Multiplication as Scaling, Session 1Chores at Animal Haven
The Re-size-inator

Unit 5: Algebraic Thinking and the Coordinate Plane

Lesson 31: Understand the Coordinate Plane, Session 1Bullseye!
Lesson 31: Understand the Coordinate Plane, Session 2Creating a Coordinate System
Coordinating Satellite Repairs

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomAmplify Classroom
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Lesson 7: Add, Subtract, and Multiply Multi-Digit DecimalsUnit 4
Lesson 1: Dishing Out Decimals
Lesson 8: Divide Whole Numbers and Multi-Digit DecimalsUnit 5
Lesson 13: Movie Time
Lesson 9: Understand Division with FractionsUnit 4
Lesson 3: Flour Planner
Lesson 10: Divide FractionsUnit 4
Lesson 6: Fill the Gap

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Lesson 12: Understand Ratio ConceptsUnit 2
Lesson 1: Pizza Maker
Lesson 13: Find Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation

Unit 4: Ratio Reasoning: Unit Rates and Percent

Lesson 15: Understand Rate ConceptsUnit 3
Lesson 1: Many Measurements
Lesson 16: Use Unit Rates to Solve ProblemsUnit 3
Lesson 6: Soft Serve
Lesson 17: Understand PercentsUnit 3
Lesson 9: Lucky Duckies

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Lesson 19: Write and Identify Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 22: Analyze Two-Variable RelationshipsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 4: Order in the Class
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 7: Tunnel Travels

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Lesson 30: Use Dot Plots and Histograms to Describe Data DistributionsUnit 8
Lesson 3: Minimum Wage
Lesson 5: The Plot Thickens
Lesson 31: Interpret Median and Interquartile Range in Box PlotsUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

iReady ClassroomAmplify Classroom
Lesson 2: Find Unit Rates Involving Ratios and FractionsUnit 2
Lesson 1: Paint
Lesson 4: Represent Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 5: Solve Proportional Relationship Problems
Lesson 6: Solve Area and Circumference Problems Involving CirclesUnit 3
Lesson 3: Measuring Around
Lesson 9: Area Challenges

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Lesson 7: Understand Addition with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 8: Add with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 9: Understand Subtraction with Negative IntegersUnit 5
Lesson 1: Floats and Anchors
Lesson 10: Add and Subtract Positive and Negative NumbersUnit 5
Lesson 1: Floats and Anchors

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Lesson 19: Write and Solve InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Lesson 20: Solve Problems Involving Percents Unit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 22: Understand Random SamplingUnit 8
Lesson 2: Prob-bear-bilities
Lesson 24: Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomAmplify Classroom
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Lesson 4: Understand Dilations and SimilarityUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Describe Angle RelationshipsUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 7: Describe Angle Relationships in TrianglesUnit 1
Lesson 12: Puzzling It Out

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 5: The Tortoise and the Hare

Unit 5: Integer Exponents: Properties and Scientific Notation

Lesson 19: Apply Exponent Properties for Positive Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 22: Work with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 4: Root Down
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresUnit 8
Lesson 11: Cylinders
Lesson 13: Cones

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Families and caregivers, welcome to Amplify Desmos Math 6–12!

Welcome to the Amplify Desmos Math Grade 6–Algebra 2 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey. 

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Person wearing a construction hat and safety vest in a wheelchair, discussing with a phone and controlling the placement of a large triangular piece in a construction setting, with math symbols around.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources are available in both English and Spanish, as well as a glossary of key terms in both languages.

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Decimal Arithmetic

Unit 6: Expressions and Equations

Unit 7: Positive and Negative Numbers

Unit 8: Describing Data

Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

Unit 3: Measuring Circles

Unit 4: Proportional Relationships and Percentages

Unit 5: Operations With Positive and Negative Numbers

Unit 6: Expressions, Equations, and Inequalities

Unit 7: Angles, Triangles, and Prisms

Unit 8: Probability and Sampling

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations, Similarity, and Slope

Unit 3: Proportional and Linear Relationships

Unit 4: Linear Equations and Linear Systems

Unit 5: Functions and Volume

Unit 6: Associations in Data

Unit 7: Exponents and Scientific Notation

Unit 8: The Pythagorean Theorem and Irrational Numbers

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios and Rates

Unit 3: Fractions and Decimals

Unit 4: Expressions and Equations

Unit 5: Proportional Relationships

Unit 6: Percentages

Unit 7: Positive and Negative Numbers

Unit 8: Data Sets and Distributions

Course Glossary

Unit 1: Rigid Transformations and Congruence

Unit 2: Scale Drawings, Dilations, and Similarity

Unit 3: Equations and Inequalities

Unit 4: Linear Relationships and Systems of Linear Equations

Unit 5: Functions

Unit 6: Associations in Data

Unit 7: Volume and Surface Area

Unit 8: Exponents and Scientific Notation

Unit 9: Pythagorean Theorem and Irrational Numbers

Course Glossary

Unit 1: Patterns and Sequences

Unit 2: Linear Equations and Inequalities

Unit 3: Describing Data

Unit 4: Describing Functions

Unit 5: Systems of Linear Equations and Inequalities

Unit 6: Exponential Functions

Unit 7: Quadratic Functions

Unit 8: Quadratic Equations

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Access Amplify Desmos Math at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure they’re right.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

What is Amplify Math?

Amplify Math is a core math curriculum built for grades 6, 7, 8, and Algebra 1. It features a full suite of products for teachers and students that includes lesson plans, instructional materials, practice, assessments, and support to meet all learners’ needs. Amplify Math is built upon the highly rated curriculum, Illustrative Mathematics’® IM K–12 Math™, which was heavily researched and field-tested and has earned an all-green score on EdReports, the nationally recognized non-profit curriculum evaluation organization.

Read the review on EdReports.

Amplify Math helps students learn math in a way that is engaging and relevant to the world around them using student-centered instruction, which has been proven to increase students’ motivation, engagement, and enjoyment of math. Students using the program are active participants in their learning, solving problems while working with their classmates.

The digital experience allows your student’s teacher to monitor your student’s work in real time and make sure they get the exact support that they need at every part of the lesson. Amplify Math’s open-ended tasks provide engaging challenges for students of all levels, preparing them to solve all types of problems. The parts of Amplify Math work together to help students master the key skills of a 21st century learner!

Features

Some of the unique features of Amplify Math include:

  • Narrative connections: Exciting stories that help students to make connections between the math they learn in class and their everyday lives, making math class more engaging for your student.
  • Amps: Interactive digital activities (included in every lesson) let your student can explore the math and collaborate with their peers.
  • Power-ups: Additional activities that teachers can use to identify when your student needs support and help your student improve on the most important skills.
  • Featured mathematicians: Stories of important mathematicians that help your students see themselves mirrored in the history of math.

Why student-centered instruction?

A group of people and a unicorn amplify math skills as they listen to a presenter showing a bar chart with "Yes" and "No" on the screen.

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Student-centered instruction instead emphasizes student-led discovery. When students explore and discover strategies, they are more engaged and make longer lasting connections.

Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math. This way of learning helps students to remember what they learn in class and apply their knowledge to new situations. Students who experience student-centered instruction have been shown to perform better on standardized tests and have more growth in their grades than their peers who learn through other methods. Your student will also learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems. With student-centered learning, students will begin to develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What does an Amplify Math lesson look like?

Icons represent four classroom activities in Amplify Math: Warm-up (student at laptop), Activities (two students discussing), Summary and Reflection (teacher at board), Exit Ticket and Practice (student at laptop).

Students using Amplify Math will be active participants in their learning and get practice solving interesting and new types of problems. Here’s what a typical Amplify Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 2-3 mini-activities that challenge students’ problem-solving skills
  • Summary: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

In class, your student will spend their time working on challenging problems while the teacher acts as a guide, highlighting different strategies for solving problems and helping students to understand the reasoning behind the math they do in class. Your student will be pushed to think more deeply about the math in their class as the teacher and other students question them on why their ideas make sense. Research has proven that this method helps students become better problem solvers, critical thinkers, and have a stronger conceptual understanding of what they are learning. 

Check out lessons from Grade 6Grade 7Grade 8, and Algebra 1, and watch this video of a typical Amplify Math lesson:

Materials overview

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. In addition, depending on the district, your student may also have a print Student Edition to use instead of the digital lesson if they do not have a device or internet. The Student Edition is a workbook that students can use to complete their work on problems and practice within the lessons.

Students can access the digital curriculum in school and at home with login information provided by their teachers. You can contact your student’s teacher to learn more about how they log in. Here are some key resources of the digital platform for students:

  • Digital activities to allow students to explore and make sense of math, leading to increased engagement and understanding
  • Digital supports such as a calculator and manipulatives to support all students where they are
  • Power-ups to give students just-in-time practice with key skills
  • Ability to access instructional materials in English or Spanish

Unit Caregiver Letters

Click a unit below to download the caregiver letter for that unit, in both English and Spanish.

How to support your student

A person inside looks out a window at someone holding up a chart with intersecting lines and arrows, aiming to amplify math concepts. There are plants on the windowsill.
  • Review the unit caregiver letters to understand the key concepts in each unit. You can walk through the worked examples with your student, asking them to explain the strategy shown and asking if they know any other strategies to solve the problems. 
  • Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem or talk about any parts that were challenging for them. 
  • Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right. 
  • Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Want to learn more?

Interested in learning more about Amplify Math? These resources will help you dig deeper:

The power of phenomena in the science classroom

In conversation, something “phenomenal” is something exceptional, extraordinary.
But in science, an event does not have to be “phenomenal” for it to be a phenomenon.
In fact, a phenomenon in science can be as ordinary and predictable as gravity.
To qualify as a scientific phenomenon, an event simply has to be observable.
That is, a scientific phenomenon is an observable event that occurs in the universe. It’s something we can use our science knowledge to explain or predict. Examples of science phenomena include the erosion of dunes or soil, or the formation of bubbles or ice.
And you know what else is observable? The positive impact of phenomena-based learning on the science classroom. That’s why phenomena-based learning is baked into the Next Generation Science Standards (NGSS).

Let’s take a look at why the power of science phenomena to deliver engagement and learning is, dare we say, extraordinary!

The power of phenomena-based learning in science

Many of us learned science a different way, by starting with a general or abstract principle then applying it in the real world.

But when you start with phenomena in science, you start with the observable real-world event. You ask questions: Why is brown water coming out of the pipes built for drinking water? Where did all the monarch butterflies go? You help students see why science is relevant, right from the outset of the inquiry.

Even everyday phenomena—like sunburns, or vision loss—can generate real learning opportunities. Explaining phenomena and designing solutions helps students learn in context, leading to deeper and more transferable knowledge.

The challenge of predicting or explaining the phenomenon becomes the motivation for learning. And it has the added benefit of being how real scientists proceed with their work!

The power of phenomena science lies in its capacity to bring real life into the classroom. A phenomena-based science curriculum engages students by starting with the real and relatable rather than the abstract. It also trains students to be inquisitive, expansive, critical thinkers.

When you shift to a phenomena-based approach, you help students shift from learning about to figuring out.

How the NGSS support phenomena-based learning

The NGSS help students make sense of phenomena in the natural world and in human-designed machines and products.

Learning to explain phenomena and solve problems is the main way that students engage in the three dimensions of the NGSS—they use Science and Engineering Practices (SEPs) to develop and apply Disciplinary Core Ideas (DCIs) and Crosscutting Concepts (CCCs).

Phenomena-centered classrooms also help teachers monitor student progress. As students work toward explaining phenomena, three-dimensional formative assessment is easily embedded throughout instruction.

How to bring phenomena into the science classroom

The power of phenomena-based learning lies in real-world relevance. Also, phenomena don’t generate learning all by themselves—student questions about phenomena guide teaching and learning.

That’s why it’s helpful to make sure students can connect to the phenomenon at hand. The following are a few steps you can take to integrate this approach into your classroom:

  • Ask students what they’re curious about. Why do leaves change color? What is lightning? Why do ice cubes stick to my finger?
  • Connect iterations of a given phenomenon to students’ lives. When discussing how sunlight warms the earth, a teacher might use examples of the sun heating sand, or asphalt depending on where students live.
  • Use one broad anchor phenomenon for the focus of a unit, and investigate related phenomena that relate to students’ interests and experiences. For example, exploring what we see in the sky will lead to different investigations depending on whether students live in an urban area or far from city lights.

Note that an engaging phenomenon does not have to be flashy or unexpected. Even if students think they already know why it rains, they may discover that they actually can’t explain it. Pushing students to inquire more will help them go beyond repeating things they’ve read, and go from learning facts to asking questions that reveal more about the world around them.

How Amplify Science can help

Amplify Science employs phenomena-based learning throughout the curriculum, which is itself phenomena-based and designed around the NGSS.

In one example, 6th graders take on the role of medical students in a hospital, working to diagnose a patient and analyze the metabolism of world-class athletes. In another, 8th graders work to explain Australia’s high skin cancer rates by investigating how light works and interacts with the world it shines on.

And what’s more, Amplify Science for grades 6–8 received an all-green rating from EdReports!

Learn more.

Top 5 back-to-school tips for math teachers

Math teachers: What’s the formula for a successful year? As you know, there are plenty of variables, but here’s one constant: being prepared for back-to-school season. 

We’re here to help! 

From fun math activities to positive tone-setting to professional learning opportunities and more, our strategies are designed to help you enter your math classroom for the new school year feeling energized, inspired, and supported by your math community.

1. First-day fun: Plan interactive math classroom activities.

Before launching into back-to-school math lessons, how about a few rounds of Icebreaker Bingo? Create a Bingo card inviting students to find classmates who can answer “yes” to math-related descriptions (e.g., “Enjoys cooking or baking,” “Plays a musical instrument,” “Likes to play board games”). Activities like these motivate students by helping them uncover common interests and reminding them that math is an integral part of “real life.”

2. Student success: Work with school colleagues and leadership toward shared goals. 

Review what systems may already be in place and consider adding more. You might: 

  • Schedule regular team meetings to set and work toward common goals.
  • Establish a professional learning community to share math resources for teachers. For example: Consider hosting a Learning Lab to encourage collaborative professional learning from within the classroom.
  • Amp up the use of data to inform decisions. Ask your team: What student performance data and assessment results can we use to see where improvements are needed?

3. Set the tone for the year: We are here to make mistakes.

As Math Teacher Lounge podcast co-host Dan Meyer says, “Students spend the majority of their learning in class [being] wrong.” That’s not only normal, it’s actually good—as long as students know that. Start the year by reminding them that making mistakes is not only inevitable, but also essential. Normalizing being “wrong” encourages students to overcome fear of failure, take risks, and build confidence—in school math activities and beyond.

4. Grow together: Establish a math community.

Build a math ecosystem connecting students to one another and creating a continuum between the classroom and their everyday lives. You might: 

  • Establish math routines in your classroom to build a classroom community focused on collaborative learning. 
  • Collaborate with students on writing a weekly math blog or math newsletter with classroom updates.
  • Create simple but engaging math challenges for students and caregivers to do together, such as building toothpick towers or budgeting for a fantasy birthday party.

5. Use free professional learning opportunities for teachers from the math team at Amplify.

Explore our upcoming math webinars, designed to support you—along with your schools and districts—in using collaborative, effective, and engaging math practices in the classroom.

You can also check out our on-demand math webinar library on your own time. From quick tips to longer continuing education (CE) credit options, our library is sure to have just what you need.

Finally, our free toolkit of math resources will:

  • Help you craft a dynamic math curriculum during the crucial first weeks of school.
  • Support student engagement and spark new inspiration in your classroom practices and activities.
  • Offer learning opportunities you can access now or on demand whenever you need them.
  • Make it even easier for you to implement the tips above setting math students up for success from day one of the school year!

Amplify Desmos Math for West Virginia

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Amplify Desmos Math for NYC Public Schools

Welcome! This site contains supporting resources for New York City Public Schools Amplify Desmos Math implementation.

What’s new?

  • Gearing up for the 2026-2027 School Year: Check out our Getting Started section on this page for support — including login support, materials lists, program overviews and more!
  • Check out the new Admin Reports views coming in SY 2026-2027 for district and school leaders! Click here to learn more.
  • Have a question about Amplify Desmos Math? This FAQ doc answers top questions about access, implementation, and features.
  • Need help? Check here for who can help! Our dedicated phone number, just for NYC, has team members ready to help! 1-888-960-0380
amplify math middle schoolers in classroom

About the program

Amplify Desmos Math New York is a core K-12 mathematics curriculum designed specifically for NYC Public Schools. It combines problem-based learning with Desmos Classroom technology to build conceptual understanding and align directly with the New York State Next Generation Mathematics Learning Standards. With beautiful print resources, and robust practice, differentiation supports, assessment and reporting, Amplify Desmos Math has received all-green ratings from EdReports. Read the review on EdReports.

Amplify Desmos Math is built on four core tenets:

  • Math can motivate students.
  • A structured approach to problem-based learning can best tend to all aspects of rigor.
  • Student thinking is valuable and visible.
  • Students can catch up while keeping up with grade-level math.
A computer screen displays an educational interface showing a warm-up activity where a snail must cross a gap using blocks, with instructions and measurement indicated.

Powerful digital lessons

Amplify Desmos Math lessons are powerful in their ability to elicit student thinking and spark interesting, productive discussions. The lessons pose problems that invite a variety of approaches with their dynamic and interactive learning experiences on devices, as well as experiences on paper that are flexible, creative, and engaging.

Screenshot of an educational interface showing a turtle race with lanes labeled 1 to 4, a play button, timer, and a table for writing equations for each lane.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows students to see that communicating their ideas and learning from each other are important parts of math class.

A digital activity interface showing hexagonal mosaics, a "Scale Factor = 3" label, and students' text responses about scaling and color patterns in the mosaic shapes.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine that students have access to this same information. With our collaborative lesson interface and teacher dashboard, students have awareness their own thinking and that of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen displays a math lesson about baking pizzas at 600°F, showing four uncooked pizzas and student response boxes below the question.

Ready-to-teach lessons

Each grade level includes 150 ready-to-teach lessons, complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can manage what slides students see, controlling the pace of the lesson to suit the needs of the class.

Planning for instruction

Amplify Desmos Math is customized specifically to meet the New York State Next Generation Math Learning Standards. Within each document below, you’ll find direct links to lessons and activities where each individual standard is addressed.

The program is also aligned with the expectations outlined in the New York City Department of Education Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework. 

Scope and sequence

Ready to plan for the 2026-27 school year? These pacing guides (coming soon!) are designed to provide structure, not rigid mandates and resources for NYC.     

Multilingual learner supports

Implementation resources

A digital screen displays a rocket graphing activity, and an open textbook shows diagrams, charts, and text on building quadratics in factored form.

Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning packaged in a lesson format that’s teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class is suddenly fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understanding.

Three children and several penguins stand around a large thermometer on an icy landscape with mountains in the background. The cover is labeled "Grade 6 Sample lesson.

Grade 6 Lesson Sampler

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Three people stand next to a large thermometer in a snowy landscape with mountains and penguins; cover page reads "Grade 7 Sample lesson" for Amplify Desmos Math.

Grade 7 Lesson Sampler

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Three people and several penguins stand on ice near a large thermometer, with snowy mountains in the background. The thermometer shows temperatures from -30°C to 50°C.

Grade 8 Lesson Sampler

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Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings students’ brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students are taught that they themselves are mathematicians, that today’s math has been shaped by a diverse range of mathematicians who deserve to be celebrated, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning: assessments. Amplify Desmos Math features a robust variety of formative and summative assessments, including readiness checks, exit tickets, quizzes, end-of-unit tests, and benchmarks aligned with New York State Next Generation Mathematics Learning Standards.

A laptop screen displays a math question with a scatter plot about staff and wait times; a worksheet with a similar graph is shown in the background.

Reporting

Not only do our reports reveal progress toward standard mastery, but they also include details on how students performed against the standard in the past and how many encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A digital dashboard displays student names and their performance levels in a grid, with a score distribution summary for assessment items shown in an overlay—ideal for tracking progress within the core curriculum or Desmos Math programs.

NYC webinar series

Figuring out how to implement a problem-based learning approach to mathematics can be fun—and challenging. Rest assured that you won’t be alone on this journey; Amplify will be by your side every step of the way. Our back-to-school math webinar series for K–8 administrators and teachers:

  • Introduces the new NYC Solves initiative.
  • Establishes the foundation for all educators to effectively understand and implement the NYCPS Shifts in Mathematics in their classrooms.
  • Provides an overview of Amplify Desmos Math, the pre-approved NYCPS curriculum chosen to ensure that every school can successfully implement these math shifts and is supported with high-level, tailored professional development and coaching throughout the process.

Please see the specific webinars and the recordings below to learn more!

Two Amplify Desmos Math teacher edition books are shown next to a laptop displaying a digital math activity with shapes and a prompt about ordering by lightest weight.

On-demand webinar 1

Would you like to learn more about the NYCPS Shifts in Mathematics and enhance your understanding of each of the five shifts?

Explore how the NYCPS math shifts are transforming mathematics education from a procedural approach to a more engaging, discoverable, and connected learning experience.

Listen to the Understanding the NYCPS Shifts in Mathematics session recording.

On-demand webinar 2

Let’s unpack the why, what, and how to unlock every student’s mathematical mind and build math proficiency for life! In this webinar, we discuss the power of teaching our children to be skilled mathematicians through a structured approach to problem-solving.

Listen to the Unlocking Mathematical Minds: A Structured Approach to Problem-Based Learning session recording.

On-demand webinar 3

For some educators, transitioning to problem-based learning might seem daunting. There’s often concern that the open-ended nature of the approach could derail students from achieving mathematical goals. However, by finding the right balance between open-ended opportunities and structured classroom activities, teachers can encourage students to share their thinking while meeting key learning targets. Uncover simple shifts that educators can implement to foster the perfect balance of open-ended student thinking and focus on mathematical instructional goals.

Listen to the Making the Shift to Problem-Based Learning session recording.

On-demand webinar 4

Amplify Desmos Math New York K–A1 is math that motivates! During this session recording, you’ll experience a grade 6 lesson that captures the essence of NYC Solves.

Listen to the Learn More and Experience Amplify Desmos Math LIVE, an NYCPS-Approved Math Curriculum session recording.

A computer screen displaying an educational platform with various course thumbnails including science and art topics.

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review. You can be reached at any time by emailing or calling us directly.

  • Support pathways for NYC Core Orders
  • Chat: Click the orange icon while logged in to get immediate help.
  • Support Portal: Fill out this form, and we will get back to you as soon as possible.
  • Phone: Call our toll-free NYC Support number: (888) 960-0380.
  • Email: Send an email to AmplifyNYC@amplify.com.

S1-01: The journey from student to SpaceX engineer: Juan Vivas

Illustration of Earth with text about a podcast episode featuring Juan Vivas, discussing the journey from student to SpaceX engineer. Includes a photo of a smiling person in a suit.

In this episode, we join Eric Cross as he talks to supply chain engineer Juan Vivas of SpaceX about his experiences growing up as a Latino in STEM. Juan shares his story of moving to the United States to study engineering and becoming successful in his career as a scientist. Juan openly discusses the experiences that made a difference in his life and the teachers that inspired him along the way. He also shares his experience as an engineer in different fields, as well as what it’s like to work in the supply chain during COVID.

Explore more from Science Connections by visiting our main page.

Download Transcript

Juan Vivas (00:00):

But to me, based on my experience so far, I think the best way to put it: An engineer is a technical problem-solver.

Eric Cross (00:28):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Juan Vivas. Juan is a supply chain engineer for SpaceX. His career in STEM has pivoted from chemical engineering to working on foods like Cinnamon Toast Crunch to his current role at SpaceX, where he’s responsible for his work on Starlink, a technology that uses low-orbit satellites to provide internet access across the world. In this episode, Juan shares his story of how he became an engineer and how a thoughtful teacher used robotics to inspire him. I hope you enjoy this great conversation with Juan Vivas. Juan, thanks for being here.

Juan Vivas (01:14):

Yeah, yeah, of course! Super-excited to be here.

Eric Cross (01:19):

Hey, and starting off, I kind of like to ask your origin story. We were talking earlier about Marvel, and your journey of one working for…what I consider the closest thing that we have to SHIELD in the Marvel stories is SpaceX. Like with my own students, we talk about SpaceX like it’s a fictional thing, and we watch the rocket launches together and we watch the recovery and it’s so cool.

Juan Vivas (01:45):

Yeah.

Eric Cross (01:46):

And so when I knew that we were gonna be able to talk to you, I was excited. Like, I felt like I was a kid.

Juan Vivas (01:51):

<Laugh>

Eric Cross (01:51):

So I’d love to hear your origin story of you ultimately landing at SpaceX. And begin wherever kind of seems most natural to you.

Juan Vivas (01:59):

Yeah, yeah, of course. You know, I wasn’t one of those kids at from a young age I said “Oh, I’m gonna be an engineer.” Right? “I want to go and build all these things.” Where I grew up, and the social circle that I had, a lot of people were like doctors or lawyers. Just figured, you know, I’ll go to med school and go down the same path that 90% of like everyone else was gonna take. But in high school, I actually got into robotics. And, kind of like I mentioned, I wanted to do med school, that is what I figured I would end up doing. And then I got into robotics in high school. And I think that was what really kind of like changed my perspective of what I wanted to do, because basically these competitions were just—it was full-on driven by students. So we designed, programmed, and manufactured, like, the entire robot itself. And so through that I ended up doing a summer engineering program at the University of Maryland, the summer before going into my senior year in high school. And there we worked on a competition with underwater robots. And so we spent the entire summer, kind of similar scenario, designing a robot, manufacturing it, programming it. And then in the end it was like a competition in the buoyancy tank with different teams. And, you know, I think one thing that was really neat about that experience is that I got to hear Dr. John C. Mathers, who is a Nobel Prize physicist, speak to us in a room with, like, only 10 high school students. And just hearing his experience of where he started and the accomplishment that he’s been able to do, down in the STEM path, was really neat. And that summer was my final decision that I’m “OK, I know I want to be an engineer.” What’s interesting is I ended up choosing chemical engineering, instead of mechanical, which a lot of people, you know, based on all the experience that led me up to be an engineer, they asked me why I didn’t choose mechanical engineering. And I think one of the reasons why I chose chemical engineering is it’s very process-based. So one thing needs to happen, and there’s different inputs to that one step, and that step has an end-to-end reaction to it, right? So certain things need to happen in step one in order for step two to occur. And however the inputs happen in step one, it’s gonna affect the rest of the process. Honestly, very different than what I thought it was really gonna be. But what’s neat about chemical engineering is that it’s one of the most versatile engineering majors that you can have. Chemical engineering, because you work with a lot of process bases. Everything has a process, right? Everything needs to start with step one, and with, you know, step 10, whatever. And it’s all about optimization and improvement along those processes. So you can really take chemical engineering principles and apply ’em to different areas of a career, which is essentially the experience that I had in college. I had three internships with Dow Chemical where I did environmental health and safety, production, and supply-chain improvement. I then did research and development with Clorox. And then I did manufacturing engineering with General Mills. So really different job roles, different aspects, but same methodology applied.

Eric Cross (05:36):

I feel like there’s so much that you just said, <laugh> and I was trying to always, “I wanna ask him about that!” And in there, what I heard was there was a real pivotable, pivot moment in your life. Was the club…or was it a club, the robotics program? Or was that a class?

Juan Vivas (05:53):

You know, it was actually…it was VEX Robotics, specifically.

Eric Cross (05:56):

It was VEX! OK. Yeah, yeah. Really popular. And they still have it; I think we actually have some downstairs. So it was a club, and not necessarily a formal environment, where you were able to build. And it’s both collaborative and competitive, right? Like, there’s both aspects.

Juan Vivas (06:11):

Yep. Yep.

Eric Cross (06:11):

And, and then you had access to one of the only two facilities in the country that have these…were they buoyancy tanks?

Juan Vivas (06:20):

Buoyancy tanks, yep.

Eric Cross (06:21):

And there’s this book, Malcolm Gladwell’s Outliers, and then another similar book called Balance. It talks about how some of these innovators, like Steve Jobs and, and Bill Gates, they had access to things that other people didn’t. So, like, Bill Gates, I think at the University of Washington, had a computer that, you know, no one else did. And Jobs had one at, like, Hewlett-Packard. So it gave you this awesome headstart, where you’re able to test things in a real-life environment that kind of transfers into real-world skills. And then a few internships, so like, internships and mentors. So you had these people in the industry or people who were front-runners that were able to pour into you and give you these opportunities. And so it’s really neat to see how a program that starts as a club, kind of a competitive thing that introduced you to it and hooked you, then led to unfolding all of these opportunities that ultimately led you up to being here. And there’s one part—in looking at your LinkedIn profile, there’s a couple of really cool things that stand out. There’s a lot of cool things, but there’s two that really stood out. So one, working at SpaceX, and we’ll talk more about that, but I wanna go to General Mills and Cinnamon Toast Crunch. Because Cinnamon Toast Crunch is amazing.

Juan Vivas (07:39):

Yeah.

Eric Cross (07:39):

And you were part of the supply chain for that. In my head, I’m thinking, OK, like, what is he like responsible for? Like, getting the cinnamon and sugar?

Juan Vivas (07:51):

<Laugh>

Eric Cross (07:51):

What was, what did your job entail, when you were running that?

Juan Vivas (07:55):

There, I didn’t even know what I was gonna be doing until my first day. It was just, whatever the business need is, that’s where you’re gonna be put. So this was actually a high-priority plan for General Mills. And the production line that made Cinnamon Toast Crunch was split up into processes. So you have, they call it the process-process side, which is like literally raw materials, like making the cereal from scratch, baking it, adding the sugar, and then sending it to be packaged. And then you have the packaging-process side. so I was then placed as a packaging process lead, for the packaging side of that production line. So I was accountable for two packaging lines that packed out Cinnamon Toast Crunch. And that is where—that was actually my first real, you know, call it “real job,” like graduated college, going straight into the industry. I was a process lead for the packaging side of Cinnamon Toast Crunch.

Eric Cross (08:54):

So you went from cereal to rockets, <laugh>, which which is an amazing trajectory to have.

Juan Vivas (09:03):

Yeah. Yeah.

Eric Cross (09:04):

And when you kind of mentioned, back in your story about medical school, and, you know, it’s kinda like, what you see people doing, and you’re “OK, this is what I think I wanna do.” And then we have a perception in our mind about what a certain job’s gonna be like. And then reality hits. I think a lot of—when I ask my students, “What do you wanna do?” They think, like, “lawyer!” and when they think “lawyer!” they’re like, “I’m good at arguing!” Right? And until they find—until they talk to some lawyers and they find out like what that career can look like.

Juan Vivas (09:28):

Yeah.

Eric Cross (09:28):

You’re not just in the courtroom showing off your arguing skills. But, like, an engineer, when I talk to my students about what does it mean to be an engineer, often it’s very linear. It’s “I build bridges,” or, you know, maybe cars, but you’re a supply chain engineer. And, and that’s something that I think, now more than ever, it’s probably an incredibly critical role, especially considering that all of these supply constraints. Can you—what is a supply chain engineer? And what does it look like in your day-to-day? How is engineering rolled into that?

Juan Vivas (10:03):

Yeah, yeah. I think that’s an excellent question. I, too, once thought that engineering was just “I’m gonna be actually making something physical,” and like being super engineer-y about it. But, to me, based on my experience so far, I think the best way to put it: An engineer is a technical problem solver. As a supply chain engineer, specifically right now in my role at SpaceX…you know, as you can guess, the supply chain in the entire world is crazy. There’s no raw materials anywhere, and nothing can ever get on time. And so what I work on is I help our suppliers develop processes to meet the design criteria that we set up for like a specific part. As my job as a supply chain engineer, it’s “Can I take this design and make it manufacturable?” Right? “Can I go to any supplier and can they actually make this to the tolerance that the design engineer set them to be?” Nine out of 10 cases, the answer is no, essentially, is the best high-level way to put it.

Eric Cross (11:10):

When you’re solving these problems, is it this iterative process of going back and forth? Or is it just this aha-moment when you finally figure things out? ‘Cause I imagine they’re coming up with a design; you’re going back and saying, “Can this be manufactured?” or “Can it be done?” They’re saying no 90% of the time. And then are you the one responsible for kind of iterating on this, or changing it and then going back to them and telling them, asking them, until you get a yes? Is that—

Juan Vivas (11:33):

Yep. Yep, yep. Exactly. So we go through a process called Design for Manufacturing, DFMing. And where I essentially take, you know, the design engineer’s proposal, and then I have conversations with the suppliers, and then, that’s where the iteration begins. Where we go back and forth, back and forth, until we kind of meet in the middle to have something that can be manufacturable. Most of the times, in my experience, suppliers will always tell you no, just because they always want something that is manufactured really easily. And so you just gotta learn through experience. Like, when are they actually telling you something that’s a fact, versus when they’re just trying to you know, get out of a tolerance, or that “all right, all right, they mentioned that would just like make their jobs a little bit more difficult.”

Eric Cross (12:17):

So I’m hearing like there’s soft skills that are woven into the technical skills that you also need to be able to have.

Juan Vivas (12:23):

Oh, yes, absolutely. Yeah. I think, you know, as an engineer—and this is something, again, that I feel like you can only learn through experience—you’re gonna see that it’s not just you working to solve this one problem. Especially for a supply chain engineer. You’re talking with marketing; you’re talking with an industrial design team; you’re talking with logistics; you’re talking with procurement, materials management—just a whole set of people that don’t necessarily have technical background. Right? So sometimes, depending on the audience that I’m targeting, I’m always very, very peculiar on what is my target audience, right? How can I—how deep in my technical knowledge do I need to go? Because if I just, you know, talk straight Engineer, they either don’t care or they’re gonna be really confused about what I’m saying. So there is a stronghold of soft skills that definitely go into engineering, which I think are really important to communicate, you know, to, let’s say, students that are really interested in engineering. So you can be extremely smart and intelligent and really good at problem-solving, but if you don’t have those soft skills that you apply in the real world—’cause in the real world, you’re never only gonna be working with engineers, no matter like where you’re at—so having those soft skills to be able to manage with different backgrounds and different sort of people and different ways of thinking, it’s, I feel, really critical, for, for an engineer in the real world.

Eric Cross (13:50):

No, I think that’s a great point. It reminds me of teaching! And so many other professions where your ultimate goal is to really pour into this person in front of you and help develop them and create a sense of inquiry and wonder and personal growth and inspiration. But you’re also working within constraints and people and relationships. You know, you have your other teachers, you have parents, you have administrators, you have a district, you have communities, stakeholders. You have all of these different dynamics that you have to kind of navigate in order to ultimately help this child thrive. Versus just, like, being in the classroom: “OK, I just got <laugh>, the hundred or 200 students, just you and me. That’s it.” But that’s not the real world. And there’s this report that came out, I think Google ran it, Project Oxygen and Project Aristotle, and they asked the question, “What are the most effective traits of a good team and a manager?” And the top seven skills were all soft skills. So it is like exactly what you’re saying, where, yeah, it’s great that you have this technical aptitude, but if you’re not able to work with other people, problem-solve together, work with people of different backgrounds and perspectives, then you’re gonna run into some roadblocks. And that kind of dovetails, like, looking at things like if you looked at education from the perspective of an engineer. So you’re all about optimizing, right? Optimizing, working with what you got. When you look at education, are there any things that you would optimize to help improve the experience of students? Like, looking back, that you would fine-tune, that you think could provide better outcomes in the classroom?

Juan Vivas (15:28):

You know, I feel…I don’t know. Obviously I’m not a teacher. And I’m sure teachers just have so much stuff going on. But I think just like, finding…giving a chance to those students that you see a lot of potential in and really taking the time to mold them. You know, I did have a teacher who was able to mold me and give me that kind of one-on-one personal experience, right? I think honestly to me it just comes down to mentorship, and motivating students on what, you know, they’re passionate for. Like, putting them in front of engineers, right? Like finding engineers to come volunteer and explain to them. I genuinely believe it just takes one spark to really get a student on a trajectory where they can make an impact in the future. So to me, it comes down to, really, exposure. How much are you really exposing your students to…you know what, something I’ve learned, when I joined SpaceX, is that Elon doesn’t believe—well, you know, there there’s a lot of things that Elon believes and not believes in; there’s a whole different type of conversation!—but he doesn’t think that you can just take a curriculum, let’s say, and just apply it massively to everyone and expect like everyone to be it. That’s just naturally not how it works, right? Students learn at different paces; they have different sort of interests. This is actually why he created his own school for his kids in LA, called Ad Astra. You know, if you take that mentality, what that school is doing is that they’re working at the students’ pace and at the student’s interests, right? And I actually have a coworker who has his kids in that school. And I mean, these are one of the most brilliant kids I’ve ever known. Like, they are taking differential equations in the eighth grade. And I didn’t know what differential equations was until I was in college already and they told me, “This is a class you have to take.” <Laugh>. But it’s finding that crossway where, where is the curiosity of the student? What are they really interested in? and exposing them to that.

Eric Cross (17:51):

Yeah. And what I’m hearing of that is, in teacher-speak, a lot of personalized learning. Like you were talking about…is it Ad Astra?

Juan Vivas (17:59):

Ad Astra? Yep.

Eric Cross (18:01):

Ad Astra. You know, every student learns in their own way and they develop knowledge in their own way. And being able to personalize learning according to the students’ abilities and needs, and then accelerate or slow down, really produces some amazing effects. I know this is something that we as teachers try to do with the classroom. Scaling it is the challenge. But it’s great because even with people who are in charge of policy or people who have decision-making ability, hearing people from the top down saying, “Hey, look, this is what worked for me. This is how I was able to become successful. I had a teacher that was able to be a mentor to me because they knew me, they had a relationship with me, they were able to tap into my passions and use those passions to drive me to do or put me in programs that I might not have known about because they, they knew who I was.” And it’s not one-size-fits-all for everyone. So having—maybe it’s curriculum or learning experiences that are kind of modular, where students are able to maybe try on different things and get that exposure, I’m a big, big believer, like you are, in mentorship. That was a huge, huge thing in my life. Having mentors. It’s the reason why I became a science teacher. In seventh grade, I had a mentor who had us doing college-level science, you know, at UC San Diego. And it completely changed the trajectory of my life, in a direction that I wouldn’t have had without him. So I think that’s great. And it’s something that we as teachers would appreciate hearing. Going back to what you said…earlier you said your wife is a supply chain engineer as well. And so that means that there’s two people who are process-minded in the household. And this is kind of a lighter question, but I gotta wonder, do you have the most optimized flow for grocery shopping? <Laugh> Because…

Juan Vivas (19:49):

Yeah, I think we don’t spend more than like 20 minutes at a grocery store. Mind you, we only shop at Trader Joe’s and we have a very specific list before going in. And if you ever shop at Trader Joe’s, you just know where everything is ’cause it’s always there and it’s small, right? But yeah, like we’re, we’re in and out in like 15, 20 minutes. It’s great.

Eric Cross (20:11):

I love it. I love it. I feel like I’m that way by design. I go in with a purpose and this is exactly what I want. I know where the cookie butter is, <laugh>, I know where my coffee is, and then, OK, I’m in and out. Apple Pay or whatever I’m using. And then we’re good to go. Do you think…so as someone listening to this or some people even just becoming aware of supply chain engineering, what advice would you give someone that’s interested in pursuing this career path? If you maybe reverse-engineered your process, knowing what you know now, you were gonna give advice, you were that mentor, what are just some kind of tips or ideas or thoughts or trajectories that you’d think that they should aim for? I’m assuming like robotics….

Juan Vivas (20:56):

Yeah. You know, I think I would say definitely finding some sort of program that exposes you to a lot of things that you won’t be exposed to, like on a day-to-day basis, or something that you just can’t be exposed to naturally at school. And mentorship, honestly. I was born in Colombia and my parents were both—they’re still both professionals, but they were both professionals in Colombia. And when we moved to this country, this was like December of 1999. My parents started from scratch, and so they didn’t really grow up in the States, right? So when it was my time to go to college and do all of this stuff, it was just like me on my own figuring this stuff out. And, you know, they definitely made some mistakes when it came to college applications and whatnot. But once I was in college, I knew that the best way for my success was gonna be through mentorship. And that’s when I joined the, Society of Hispanic Professional Engineers, which is a nationwide organization. And each college, well, most college campuses, have their own chapter. In joining that, I was exposed to resume workshops, mock interviews—basically how do you even talk to a recruiter? Which is so critical, right? And personally that that organization was really what molded my actual professional career.

Eric Cross (22:19):

There’s this theme that I’m hearing, kind of weaving through this. And in addition to—as we’re talking about STEM and technical skills, in addition to that, there’s this thread that I’m receiving of…being able to form relationships with other people, for our students, is an important skill to teach and should be taught explicitly. Which isn’t…it’s not really a curriculum, right? Like, you don’t get tested on your ability to….conflict resolution or how to write an email or how to develop a relationship. And then the other part in I think what you just said is the aspect of community. Through this organization, you learned kind of some of these hidden rules, maybe I would call it.

Juan Vivas (23:04):

Yep.

Eric Cross (23:04):

It’s not that you didn’t have the…you had the aptitude. You had the drive. But there were these kind of hidden rules, and from moving to the US, you needed a community to be able to show you, so that you can kind of go through the proper steps.

Juan Vivas (23:16):

Exactly.

Eric Cross (23:17):

And so that created a lot of value for you.

Juan Vivas (23:19):

Yep.

Eric Cross (23:20):

Well, the last question that I have is, is just kind of a wondering. You have this awesome story, and the story continues to unfold. I gotta say, <laugh> I’m gonna be following your LinkedIn profile, because I think you just have kind of the coolest trajectory of going from, you know, General Mills, working in chemical engineering, and then ultimately it’s SpaceX. And every time I see the rocket taking off and landing, I’m gonna be thinking, thinking about you. So cool!

Juan Vivas (23:47):

Yeah. Yeah.

Eric Cross (23:49):

And personally, I have a hope that one day, one of my students will be at a company, you know, like SpaceX or Tesla or wherever, and one day I get to interview them and talk to them and see what they say. But the last question I want to ask is, is there, is there a teacher who inspired you, or a memorable experience that you have that made an impact on you?

Juan Vivas (24:16):

Yeah, yeah, of course. It was kind of you know, middle school going into high school. The way my school worked, everything was divided from pre-kindergarten, whatever, first to sixth grade, and then seventh grade to 12th grade. So I had a high school science teacher, Ms. Brown, Ms. Velda Brown, who, came from a small little island town on the east coast of Canada. Somehow landed, in the high school that I went to, to teach science. Going back to the beginning of the story where I mentioned that I figured whatever, I’ll go to med school. I played soccer, basketball, and, you know, I said, “I’ll figure it out once I graduate.” It might have been like life science in the eighth grade or something like that. But then she went on to teach me chemistry and physics as well. And when I was in the 10th grade, she approached me and she asked me if I wanted to join the robotics club. And I remember saying robotics? I don’t know. You know, naturally, in school, it’s different sorts of crowds: people that play sports and people that are like in like STEM clubs or whatever. And I was, “Ah, I don’t know; I don’t know how I feel about robotics; not really my thing….” But somehow she convinced me to join robotics. It’s me, coming into this group of kids that already knew each other, and they were all working on robotics. And I’m, “Yeah, I mean, I guess I’m just here to try this thing out.” It was a thing where we met every single Saturday at like seven in the morning. And there were times where I literally had to choose, “Do I go to like a soccer game or do I go to you help my team with robotics?” And I completely loved it. Like, I fell in love with the aspect of building something from scratch, and just making it operative. And she ended up just being a huge mentor for me in high school, actually. With her, with the help of her, I ended up opening the robotics club at my school. And before I left, we opened it up to middle schoolers. And then, you know, later, years later down the road when I was in college, I found out that it was now a whole-school thing. So there was an elementary robotics club at the school, the middle school one, and then the high school one were still a thing like years after I left. And that was like just so amazing to hear. But yeah, it was Ms. Velda Brown, my high school science teacher, that really took her time to mold me and get me into robotics, and really mentor me. And honestly, I’m sure you as teachers, you guys probably hear about it a lot, but you can have a lot of power in shaping a kid by just telling—believing in them, right? She believed in me so much that I would go on to be a successful engineer. And I’m. “OK, yeah, yeah, you’re just saying it.” But she spoke life into her students up to this day. I still speak about it with my wife, and when I’m in conversations about this, that if it wasn’t for my high school science teacher, I would not—well, no, I would probably not be an engineer right now.

Eric Cross (27:38):

Wow. Shout out to Ms. Velda Brown <laugh>. Would you say she spoke…I think one thing that just resonated with me is when you said she “spoke life” into you.

Juan Vivas (27:46):

Yeah.

Eric Cross (27:46):

That was really powerful. And I think we as teachers have that power and we don’t realize it. Because, you know, we get so we’re so familiar and living day-to-day, but we do have the power of life, speaking life, into our young people. And, yeah, that was—

Juan Vivas (28:03):

Absolutely, yeah. You know, I think obviously people grew up with different backgrounds, different communities, life situations, right? So imagine having like a student that is similar in that environment and then they just hear someone at their school, like, “Hey, you’re really good at this. why don’t you consider doing this?” And that’s when I feel teachers have that power. Where like they don’t necessarily know the background, but they can make that opportunity, or make that decision in the moment, to really shape a student’s life.

Eric Cross (28:37):

And we need to hear that. And I think, I hope that other teachers listening to this will be reminded that many times we don’t get to reap the harvest. We don’t get to see the <laugh> Juan Vivases at SpaceX. They just kind of go, and they disappear, and we hope for the best, and we get a new group. But every once in a while they come back, and we get to see what our watering or seed-planting was able to produce. And so, just know that you sharing your story for educators, and for definitely Ms. Brown, makes a huge difference and is a huge encouragement. So.

Juan Vivas (29:11):

You know, I think we touched on earlier, you know, how do I end up going from cereal to rockets, right? And I think it ties along with what I mentioned earlier of just taking—as an engineer, you’re really a critical problem solver, right? And you think that methodology. And if you find a way, you can apply it to different sectors. When I was doing a lot of like the packaging process stuff at General Mills, being a lead on a high-volume manufacturing line, what I do for SpaceX specifically, right now, I’m actually on the Starlink project. So if you’re up to date with Starlink, it’s, it’s essentially high reliable, fast internet that we’re providing to areas where usually people don’t have access to internet, right? Or maybe they do, but it’s extremely expensive. Because to an internet provider company, the benefit is not there, if they extend an entire internet fiber line out to their place because it’s only directed to them, right? So that’s, that’s essentially what Starlink is trying to solve. And this is the first time that SpaceX is facing a consumer packaging scenario. Before it was just rockets. And now they’re selling a product to consumers. They had never done that before, especially in a high-volume manufacturing setting. And so I am the supplier development engineer for all the consumer-facing packaging for the Starlink product itself. And that’s essentially how all those thoughts connected, where I had this experience coming from General Mills and packaging high-volume manufacturing. And then when Starlink started, they’re all, “Right, well, who knows anything about packaging?” Right? “We know so much about rockets, we need someone with this technical background.” And that’s essentially how I bridge over to SpaceX.

Eric Cross (31:11):

And so while you’re working at SpaceX, you’re working on Starlink, which I know you mentioned that—you said that it’s providing internet globally, which in and of itself, we—especially those of us that live in major cities—we kind of take for granted. Internet is like a utility. But we don’t maybe realize that in many parts of the world, internet is not reliable or even accessible.

Juan Vivas (31:33):

Right. Right.

Eric Cross (31:34):

I see every once in a while, I think, the StarlinK satellites sometimes are visible?

Juan Vivas (31:38):

Yep.

Eric Cross (31:39):

Low orbit?

Juan Vivas (31:39):

Yeah. Yeah. You can go—they’ll kind of be like a little train of bright stars that move along together. Yep.

Eric Cross (31:46):

And that must—that must feel…I mean, we all have jobs and we’re all doing different things, but you’re working on a project and you’re engineering something that actually can provide a lot of opportunities or close a gap in some parts of the world where they don’t have access to internet. They’re gonna be able to have access and be connected all over. I dunno, the word would be “existential.” Existential value. Like, what you’re doing is actually providing a service for people. Humanity. Like, addressing a critical need in many, many places around the world.

Juan Vivas (32:26):

Yeah. We’ve had stories where we have sent Starlink kids to a small school in a village in rural Chile, right in South America. And for the first time ever, they’ve had internet. We have supported disaster relief in Europe. I think this past summer, Europe had really bad floods. We sent Starlink kits out there. You know, the vision of working at an Elon Musk company and SpaceX and Starlink—this is all stuff that is being done for the first time in history. We have never, ever done anything like this before until now. And to be able to provide those that don’t have the access to—to your point, it’s kind of wild, right? Like we, we just take it for granted. “Oh yeah, I just have internet. Let me log on.” There are people on Earth right now that have never been on the internet. Or don’t even know what the internet is. And that’s essentially the, the gap that Startlink is starting to close.

Eric Cross (33:26):

Yeah. We think about that while my students are doing TikTok dances. <Laugh> And there are people who, you know, never, never been connected. And, it kind of makes me more like, just inside, if I can ask: What’s it like working at SpaceX? I showed my students what it’s like working at some of the Silicon Valley companies. ‘Cause just to show them there’s slides and food and, you know, they kind developed this ecosystem inside so that it’s really kind of homey to kind of keep you there, you know. When you’re working and there’s bikes and things like that. And that’s a very Silicon Valley type of thing. But, you know, in listening to you talk about SpaceX and Elon, you know, you’re with a really visionary kind of company, and when I hear you talk about it, there’s I can hear this passion, this, “we’re doing something.” Is that culture, like, pervasive everywhere? Are you around folks that kind of are on that same wavelength? Because I definitely get it from you as you talk about what you do.

Juan Vivas (34:28):

Yeah, yeah. Definitely. I think, as an engineer, you know, going to SpaceX and working at SpaceX, it’s essentially—personally, I believe right now in the US it’s like the mecca of engineering, right? Like, it is where engineering in this most, you know, shape and manner, it’s being applied. I think what’s really interesting is that the way that Elon looks at it is just iterate, and iterate fast, right? Like, fail and fail fast. I think as an engineer, you always want to have things perfect, right? And so you spend a lot of time in making a decision or investigating something or whatever. And working at SpaceX is the complete opposite. It’s just you know, “Assume, state your assumptions—like, what are you assuming right now? What are the risk at it? And just make a decision and then see what the result is.” You know, so it’s an environment where you learn, really quick.

Eric Cross (35:28):

You said something that I think was powerful and I hope, I think <laugh>, this is definitely, I’m gonna get a clip of this <laugh> of you saying it. Because it speaks directly to, I think, what a lot of students struggle with in the classroom, is there’s this competition or feeling that you always need to be right. And you need to be right the first try, on the first time. And a lot of times it’s because students will compare themselves to each other, or there’s a tremendous amount of pressure to be successful. But you said, “Fail and fail fast, iterate, state your assumptions.” And it sounds like this critical part of being an engineer or in what you do, like there’s no room for ego or attaching your identity or your sense of value or worth or ability to whether you’re able to solve a problem in the first try.

Juan Vivas (36:13):

Yep.

Eric Cross (36:14):

Like, you have to be OK with the cycle, is kind of what I’m hearing from you. Is that, is that right?

Juan Vivas (36:19):

Yep. Exactly. It only took six months to develop the product from scratch and launch it to the public, which is insane. Nowhere in the world will any company ever iterate that fast and come up with a brand-new project. But it’s because of that mentality—like you’re saying, it’s not about like just trying to make it perfect and have all this information. And I think Elon has learned this personally, you know, through Tesla and the beginning of SpaceX. It’s, “I can wait to have all this information, and most likely I’m still gonna be wrong after I make the decision.” So it’s, “Might as well take the risk, do the decision, and then just see where you learn from it, right?” And then you keep applying that, applying that. So it’s like you iterate, iterate, iterate, iterate until you get what you want.

Eric Cross (37:00):

I think this is even, like, great advice. I’m taking this personally because I get paralysis by analysis <laugh>.

Juan Vivas (37:06):

Yep.

Eric Cross (37:07):

You know, I’ll research something to death but then not actually execute. Like, I need to make a decision and do it and then course-correct along the way. Somebody once told me it’s a lot easier to turn a moving car than it is a car that’s sitting still. And so as you’re kind of flowing, you’re just making these adjustments along the way until you end up on the path that you want to be. So I think that there’s so many gems in the things that you’re saying right now. What I’m thinking through the lens of my seventh graders that want to work in any STEM field—I mean, really, any field in general, but especially engineering, especially the STEM fields—knowing that, pick it, make a decision, move forward, and then course-correct along the way. That’s what science looks like in the real world.

Juan Vivas (37:49):

Yep. Exactly. Yep. And definitely most important—and I feel like this is sometimes where, not necessarily education in general, but it’s just, we want students to, “OK, you need to get it right the perfect time, right?” But it’s like, every student is gonna think differently. A student is gonna take a different assumption based on their background and experiences. And I mean, you know, we can go a lot deeper in that, but the way a student is shaped, they’re gonna take certain assumptions. So that’s where it gets interesting. OK, why are you assuming that? Where’s your thought process in this?

Eric Cross (38:25):

And we all come from different backgrounds and mindsets and filters and biases that cause us to look at something a certain way. And it’s not just like calling it out, just going, “Hey look, this is what it is.” Like autopsy without blame, this is what I’m working with. Let’s discuss it openly. Right? And if we started that process earlier, you know, younger, in classrooms, we can de-stigmatize the right answer being the best answer more, as opposed to focusing on process as opposed to outcome. And then you kinda get used to wanting to go through the process. I look at it like video games and I talk to my students. I say, “You know, you don’t pick up a video game that’s brand-new and then play it and then you die once and you’re ‘Ah, I’m never gonna play this game again.’ You know, it just doesn’t work that way. You’re going through this iterative process, and no matter what you play, you’re trying things differently. You’re data collecting. And then you’re making new decisions based on the data that you collected.” And for some of my kids, they’ll just raise their hands, say, “No, I just get mad and throw the controller across the room.” <Laugh> But I go, “Yeah, and then you’ll try it again.”

Juan Vivas (39:33):

The best way to know how not to do something is to fail. And so you already…I mean, what is that famous quote? I think that’s why Thomas Edison’s, “Oh, I, did not fail 99 times. Right? I only found 99 times…” I mean, that is that is true. And I feel like at work in a SpaceX, that is something that probably the core of it comes from there. It’s you know, any failure, quote unquote, that you may take it as a failure, it’s really not. You’re just “OK, we, we tried that. It didn’t work. Like what are we gonna do next?” So it’s just like taking that learning and like moving off with it quickly.

Eric Cross (40:09):

I heard a couple of teachers say, “Things fail: First Attempt In Learning: F A I L.” And then another teacher, one of my mentor teachers, she said, “There’s no such thing as failure, just data, in science.”

Juan Vivas (40:20):

Mm-hmm. <affirmative>. Exactly. Yep.

Eric Cross (40:23):

And so I’ve always taken that to heart. And I share that with my own students, just, “A ‘no,’ a lot of times, will tell you more information than a ‘yes.’” ‘Cause if something works in the first try, you may not exactly know why it worked. It just did.

Juan Vivas (40:34):

Yeah. Yep.

Eric Cross (40:37):

So yeah. Well, I went on your time, brother. Dude. <laugh>. The time flew. It was…

Juan Vivas (40:46):

Yeah.

Eric Cross (40:47):

There were so many things I was trying to write out as you were talking, that I just felt like, “This guy is sharing so many gems!” But yeah, I want to thank you for taking time outta your day and for sharing that information for your passion for what you do. And, I don’t know, I think that students and teachers that listen to this will get an insight from a perspective that really matters. ‘Cause ultimately we’re, we’re trying to really prepare our students for real life. Maybe I’ll email you privately if I order a Tesla, if you can move me higher up the Cybertruck line. <laugh>

Juan Vivas (41:22):

Yeah. No promises.

Eric Cross (41:24):

<laugh>

Juan Vivas (41:25):

Yeah. No, I appreciate you guys having me, having me here, and be able to speak on my experience. And hopefully it sparks a couple, one, even if it’s just one teacher that will spark another student, that is already success there. So.

Eric Cross (41:42):

Well I know, I know what you said resonates with me and it fills my cup. And I’m excited. So I’m already thinking of some ideas of things that I can do, just because of this conversation, and I know other people will as well. And, again, this is Juan Vivas, who’s a supply development engineer at SpaceX. He’s worked at some amazing places. And someone who believes deeply in not only the power of the technical skills, but the heart skills, and how community makes a huge impact in his life. It made a huge impact in him ultimately becoming a scientist, and now working on a project at SpaceX, Starlink, that is going to provide access to the world, to the web. And that’ll ultimately help us solve more problems and innovate and create some solutions that will benefit everybody. Thank you, sir. Appreciate you.

Juan Vivas (42:30):

Yeah, thank you. Thank you so much, Eric. Appreciate it.

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What Juan Vivas says about engineering

“Based on my experience so far, I think the best way to put it… an engineer is a technical problem solver.”

– Juan Vivas

Supplier development engineer, SpaceX

Meet the guest

Juan Vivas is a chemical engineer currently working as a Supplier Development Engineer at SpaceX. Juan got his start at the University of Florida, where he led the Society of Hispanic Engineers (SHPE) as vice president. He’s worked for companies like Clorox, Dow Chemical, and General Mills. Juan lives in Los Angeles, California with his wife and two dogs.

Man in a suit and tie smiling at the camera with a blurred green background.

About Science Connections: The podcast

Welcome to Science Connections: The Podcast! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher.