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.

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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!

Season 9, Special Episode

The truth behind learning, with Nathaniel Swain, Ph.D.

In this episode of Science of Reading: The Podcast, Susan Lambert is joined by Nathaniel Swain, Ph.D. He’s a teacher, instructional coach, and author of the recent book Harnessing the Science of Learning: Success Stories to Help Kickstart Your School Improvement. Emphasizing the science of learning as an ever-growing resource for updating instruction practices, he provides a comprehensive look at how knowledge powers learning, how to identify knowledge-rich curricula, how cognitive load affects learning, and how to understand several common learning misconceptions.

Meet Our Guest(s):

Portrait of a man with short brown hair and beard, wearing a light blue collared shirt, with a graphic pencil illustration at the bottom right.

Nathaniel Swain, Ph.D.

Nathaniel Swain is a teacher, instructional coach, and writer. He’s a Senior Lecturer at La Trobe University, where he also works at the SOLAR (Science of Language and Reading) Lab, and he blogs about teaching and learning at Dr. Swain’s Cognitorium. He’s taught a range of learners in schools and universities, and he founded a community of teachers committed to the Science of Learning: Think Forward Educators, now at 23,000 members and growing. Dr. Swain is a sought-after speaker on the educational circuit and the author of Harnessing the Science of Learning: Success Stories to Help Kickstart Your School Improvement.

Meet our host, Susan Lambert

Susan Lambert is Chief Academic Officer, Literacy, at Amplify, and host of Science of Reading: The Podcast. Throughout her career, she has focused on creating high-quality learning environments using evidence-based practices. Lambert is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Lambert explores the increasing body of scientific research around how reading is best taught. A former classroom teacher, administrator, and curriculum developer, she’s dedicated, to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Person with short blonde hair, glasses, and earrings, wearing an orange jacket, smiling in front of a plain gray background—committed to literacy education and fostering background knowledge for all learners.

Quotes

“The greatest thing about the science of learning is that it's never really gonna be finished. Much like the science of reading, it's constantly being updated and it's something that we should be constantly turning to.”

–Nathaniel Swain, Ph.D.

“When we have knowledge at our fingertips—or in this case, in our synapses—ready to be used, we can overcome all these limitations that cognitive load theory talks about.”

–Nathaniel Swain, Ph.D.

“We're kidding ourselves a little bit if we think that we can replace that rich content knowledge with generic skills and generic competencies.”

–Nathaniel Swain, Ph.D.

“Students who have less knowledge or citizens that have less knowledge are more prey to disinformation, because they don't have enough in their schema to be able to question the knowledge that's coming in.”

–Nathaniel Swain, Ph.D.

“Nothing scares me more than students sitting in classrooms trying to go through the motions of comprehension strategies and diligently trying to apply them to reading a text, but not really knowing what this text is about.”

–Nathaniel Swain, Ph.D.

Oregon Enhanced ELA State Review for K–5

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S3-05: Thinking is power

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Join us as we sit down with Melanie Trecek-King, college professor and creator of Thinking is Power, to explore how much of an asset science can truly be in developing the skills students need to navigate the real world. You’ll learn about “fooling” students and the importance of developing critical thinking, information literacy, and science literacy in the classroom. We’ll also share real strategies and lesson examples that help build these essential skills and engage students in learning.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

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Melanie Trecek-King (00:00):

We say knowledge is power, but it’s not enough to know things. And there’s too much to know. So being able to think and not fall for someone’s bunk is my goal for my students.

Eric Cross (00:12):

Welcome to Science Connections. I’m your host, Eric Cross. On this third season, we’ve been talking about science’s underdog status. And just this past March at the NSTA conference in Atlanta, I had the chance to speak with science educators from around the country about this very topic.

Hermia Simanu (00:28):

Right now, there’s only two teachers in our high school teaching science.

Shane Dongilli (00:32):

I have 45 minutes once a week with each class. The focus is reading and math.

Alexis Tharpe (00:38):

Oftentimes science gets put by the wayside. And you know, I love math and I love my language arts, but I also think science needs to place be placed on that high pedestal as well.

Askia Little (00:46):

In fifth grade, oh, they teach science, because that’s the only grade that it’s tested.

Eric Cross (00:50):

That was Hermia Simanu from American Samoa. Her team flew for three days to make it to the conference. You also heard from Shane Dongilli from North Carolina, Alexis Tharpe from Virginia, and Askia Little from Texas. All of these teachers were excited to be at the conference and had a lot to say about the state of science education in their local schools. Throughout this season, we’ve been trying to make the case for science, showing how science can be utilized more effectively in the classroom. We’ve explored the evidence showing that science supports literacy instruction. We’ve talked about science and the responsible use of technology like AI. My hope is that all of you listeners out there can use some of this evidence to feel empowered to make the case for science in your own communities. And on this episode, we’re going to examine how science can help develop what might be the most important skill that we try to develop in our students: Good thinking. On this episode, I’m joined by a biologist who actually advocated for eliminating the Intro to Bio course at her college. Instead, Professor Trecek-King created a new course focused on critical thinking, information literacy, and science literacy skills. In this conversation, we discuss why the science classroom is such a good environment for helping students become better thinkers. Now, I don’t think that you can make a much stronger argument for science than using it to develop the skills that Melanie describes in this conversation. So, without further ado, I’m thrilled to bring you this conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College, and creator of Thinking Is Power. Here’s Melanie.

Eric Cross (02:29):

Well, Melanie, thank you for joining us on the show. It’s so good to have you.

Melanie Trecek-King (02:34):

I am so happy to be here.

Eric Cross (02:35):

Now, I went to your session at NSTA in Chicago … I think it was two years ago. A couple years ago. And I was listening to your session, and as I was listening to you, I started Reverse Engineering in my mind what you were doing with your college students. I started reverse engineering the K–8. I was like, “This is amazing.” Where has what you’ve been doing been hiding? We need this not just in the college, higher ed. We need this all the way up and down. Because I hadn’t seen it before. So I think a good place for us to start is gonna be like the story of how and why you as a biologist wound up making the case to actually eliminate the Intro to Biology course at your college. So can you start off and tell us a little bit about that story?

Melanie Trecek-King (03:20):

Sure. So I started teaching at a community college in Massachusetts. And I absolutely love teaching at a community college. And I was teaching the courses that people who don’t wanna be scientists when they grow up have to take to fulfill their science requirement. And that course was Intro Bio. And I tried every way I could figure out to make that class be useful,] relevant to students. I mean, the thing is, our world is based on science and you have to understand science to be a good consumer of information, to make good decisions. And I’m a biologist, so it pains me to say this, but you know, somewhere in the middle of teaching students about the stages of mitosis and protein synthesis, I thought, “Is this really — like, if I have one semester that’s gonna be the last chance that someone’s gonna get a science education, is this really what they need?” And I just decided, “No.” So, to my college’s credit, they were very supportive. I went to them and said, “You know, I think we should assess the non-majors courses. Like, why do we teach non-majors science?” And we all agreed, well, it was for science literacy. OK, great. Do our existing non-majors courses do that? And so we evaluated each of the courses. I made a case that Intro Bio was not doing it. And so we actually replaced it with a course that I call Science for Life. And the whole course is designed to teach science literacy, critical thinking, and information literacy skills.

Eric Cross (04:48):

And so you did this while you were looking at mitosis. And you’re looking at students who may or may not be science majors. And then kind of asking that question. I know every educator asks this, and whether or not it’s welcomed or supported is a different question: “Is what I’m teaching actually gonna be relevant and useful later on down the road for this group of students?” And you actually got to run with it and then create this course, this new course. So, what were the skills that you were hoping to achieve with the new course you developed, and and why were those skills so important?

Melanie Trecek-King (05:21):

Well, if I just go back for a second to what you said, ’cause it, really hit me: I remember the actual moment — it had been building up to that point, but the actual moment that it hit me — I was teaching students the stages of mitosis. And I was applying it to cancer, because the thought is that if we use issues that are relevant to students to teach concepts, that it will be more meaningful to them. They’ll learn it better; they’ll be able to apply it. And they just looked absolutely deflated. They didn’t wanna be there. And I had this moment where I thought, “You know, if, if these students ever have cancer somewhere in their lives, is what I taught them going to be something that they remember? Is it going to be useful to them?” And quite frankly, like, no. <Laugh> They’re not gonna remember proto-oncogenes. And quite frankly, is that really what they need to know at that moment? What they need to know is, “What does this mean? Who is a reliable source of information here? If these treatments are recommended, what is the evidence for them? What are the cost-benefit analyses? Where do I go to find reliable information?” And in that space, cancer in particular, we have this whole field of — I wanna say charlatans, ’cause they may not actually be lying, but they’re pedaling false cures, false hopes. And people need that kind of hope, and so in their time of need, they’re more likely to fall for that kind of thing. Which leads me to the skills that I teach students. I call them this tree of skills. And the order is important. I start — and there’s a lot of overlap to be fair — but critical thinking, and then information literacy, and science literacy. The idea is that students carry in their pockets access to basically all of human’s knowledge at this moment in time. And if they needed to access it, they could. The question is, do they know what they’re looking for? Are they aware of their own biases that are leading them to certain sources, or certain false hopes? Are there certain things that are making them more vulnerable to the people that might prey on them? Are they able to use that information to make good decisions? There’s a great Carl Sagan quote, and it’s something like, “If we teach people only the findings of science, no matter how useful or even inspiring they may be, without communicating the method, then how is anyone to be able to tell the difference between science and pseudoscience?” So yes, the process of science is a process of critical thinking. However, we do tend to present science most of the time. Like, here’s what science has learned. And to be fair, those things that we’ve learned from science are really useful and inspiring. But if we don’t teach the process, so you’ve got somebody now who let’s say has been diagnosed with cancer and is on their phone and they’re scrolling through social media and everything looks the same. And of course the algorithms learn who you are. Next thing you know, there’s all of these like pseudo-treatments popping up. It all looks the same. Somebody who says that acupuncture can be used to cure cancer can feel the same, from someone who doesn’t understand the process of science, as a medical fact. And so the process is the process of critical thinking. My class everything is open note. The quizzes are open note. The exams — and I say open note, they’re also open online, because I know for the rest of their life they’re gonna have resources available to them; I want them to be good consumers with that information, which to me requires metacognition and critical thinking and information literacy and all those skills that I’m trying to teach them.

Eric Cross (08:58):

You’re basically taking what … we’ve taught science for so long. And more recently, it’s changed to more focusing on skills. At least in K through 12. But a lot of it was just memorization of a ton of different things that now we can pull up our phone, go on the internet. You can pull up a lot of those facts. But those facts don’t necessarily translate to actual real-world skills. When I listen to… I kind of make this analogy sometimes: students say … it’s funny, I have 12-year-olds that say this. They go, “How come they don’t teach us how to do our taxes?” And you know they’re regurgitating what they hear from adults, right? “Teach us real-world skills!” And I was like, really, if we taught you right now how to do your taxes, how many of you would really be like, “Oh, this is an awesome lesson! We’re really engaged!” But their point is that “I wanna learn something that I could actually use later on, that’s that I’m gonna carry on.” And in your course, you’re talking about these skills that actually can apply. Like you said, if I had cancer and I’m looking at different types of medical procedures, do I have the skills to really be able to evaluate and make informed decisions on that? And that’s, that’s not something that I’ve seen explicitly taught really anywhere. And I hadn’t heard anybody talk about it, really, until I heard your session, where you’ve kind of unpacked this, and over the last couple of years, have created some programs or resources for educators, where they can take this into their classroom. So what were some of those skills, again? What were were some of the skills that you thought, “I wanna make sure that my students can walk out and they know how to do this and apply it to maybe several different fields”?

Melanie Trecek-King (10:35):

Oh, that’s a really good question. Because the whole thing was a process for me. Like, when I finally let go of Intro Bio, I was so glad to see that class go, by the way. ‘Cause I just felt like I was beating a dead horse. So when I let go of it, I thought, “What do they need instead?” And for me, what I realized was I was trying to make the class I would’ve wanted to take. I realized the things that I personally didn’t know, that my own education maybe let me down a bit. But things that I thought were important. So then I took all of those, synthesized them, tried to figure out the best order. The class is currently in its third iteration. And I hope every iteration is an improvement. But I’m thinking about the students that I taught before the pandemic. It was Intro Bio. Up to just maybe the couple years before the pandemic, and during the pandemic, we had a new virus and we had a new vaccine and we had new treatments. There was hydroxychloroquine and there was ivermectin and then there’s masks. Are masks effective? Well, you know, in what circumstances? What kind of mask? There are all of these questions. And that whole thing was we saw science playing out in real time.

Eric Cross (11:50):

Absolutely.

Melanie Trecek-King (11:51):

And so were my students able to follow that? And then what happened in that process is that science became politicized. And in a time where things are uncertain and we need answers, ’cause it’s scary, people want certainty and science doesn’t tend to provide that. Especially when it’s just starting out. And then when it becomes politicized, people decide that they’re going to — it’s not necessarily a conscious decision — but they retreat into what people in their camps are saying or their groups are saying. Which actually leads me to one of the more important parts of information literacy skills in there, which is most of our knowledge is shared. We tend to have overinflated senses of what we individually know. And studies actually show that with Google, if you have access to Google, you think you’re smarter than if you don’t have access to Google. But we all have access to knowledge in our communities, and that’s one of the reasons humans are so successful, is that we can each specialize in different things and share our expertise and become greater than the sum of our parts. The problem with that, of course, is that we forget what we don’t know, and we assume that we know what the community knows. And so recognizing the limits of your own knowledge and how different communities produce knowledge, like the different epistemic processes that communities use to come to knowledge. When it comes down to it, an important part of knowing is knowing who to trust, right? Knowing where the source of knowledge lives. And in order to do that, you have to understand the processes that they’re using to come to that knowledge and the limits of your own knowledge. And then how to find who has that knowledge so that you can use that to make better decisions.

Eric Cross (13:38):

So, when I hear what you’re doing with your college students, and I think about what I’m doing in the classroom, in the middle school, we are really focusing on literacy as skills. Reading, writing, speaking, listening. And then when I think of the next step of the journey, your information literacy and the literacy you’re teaching is really the application of those things in the real world. And the examples that you gave are very critical examples. Evaluating claims about Covid. Making informed decisions about a medical procedure that you might need. And we all get that applied to us. We’re scrolling through social media and somehow social media is listening. It’s figuring out exactly what I’m doing, because all of a sudden the ads are telling me … how did you know I was alking about KitchenAid mixers now? I just said KitchenAid mixers and it’s gonna show up in my feed! But <laugh> I take that in the same way from the same place that I take in maybe an oncologist. So it’s it’s coming through the same channels. So now I kind of wanna pivot. So we’ve talked about what you’re doing, why you’re doing it, the connection between “am I really teaching the skills that my students need in the science class? Is it really critical thinking explicitly or is it just kind of implied?” Now I wanna ask you how you do it. What’s the annotated, abbreviated kind of syllabus of your course?

Melanie Trecek-King (15:03):

So the course is called Science for Life. And the premise behind it is the kinds of skills and understanding of the process of science that they would need to make good decisions to be empowered in a world based on science. And so the very first lecture, I say, “OK, I’m gonna tell you a story and I just want you to listen to the story. And at the end I’m gonna ask you why I told the story.” And the story that I tell them is some of the history of the witchcraft trials in Europe. And I start with the Malleus Maleficarum, or the Hammer of Witches, from the Pope, and about how people would accuse witches of causing birth defects or storms or crops dying. And, the best evidence that they had to absolutely know somebody was a witch was if somebody accused them, and then if they were accused, if they confessed. OK? But the problem is, to get them to confess, they would torture them. Roasting over coals, or splitting until somebody broke. And so I tell my students, “OK, this was absolute proof that someone was guilty of witchcraft. I don’t know about you; I would confess to anything, right? Make it stop!” So this is where I get to ask students, “Why would I ask you this? Why would I tell you this story? And traumatize you on the very first day of lecture?” And they see the reasoning, right? They thought they had evidence. The question was, is that good evidence? And so, you know, I’m getting students to have a basic understanding of epistemology, right? Without calling it that, or without going into all of the philosophical background of epistemology. Apply this to your own reasoning. What are you wrong about? Well, you probably wouldn’t know. OK, how would you know if you were wrong? Like what kinds of things do you feel that you’re so right about? How good is your evidence for that? So what I want them to do is internalize the thinking about thinking, and analyzing how they come to conclusions, and proportioning how strongly they believe. Their confidence in how right they are. So I think starting with that kind of misinformation, and getting students to internalize that process is important. But I think the example is really useful, because most of my students don’t believe in witchcraft. Right? So it’s not an issue that would immediately threaten them in some way. So when, when a belief is tied to identity or how we see ourselves or is really important to us, then it’s very difficult to be objective about that belief. And so by starting with witchcraft, it’s not triggering. I get them to think about thinking and practice that muscle so that when we get to those more important issues, they have the skills they need to evaluate them.

Eric Cross (17:55):

So would it be fair to say that your Science for Life class is really applied scientific thinking for the real world?

Melanie Trecek-King (18:01):

Absolutely. That’s the idea. I mean, science is too good to keep to ourselves, right? And it’s everywhere. So how can you understand the world through a scientific lens?

Eric Cross (18:10):

What are the nuts and bolts of how you teach your students these strategies? What do you do? What are some strategies and techniques that we can maybe share with listeners? And then where I want to go after that is I wanna ask you, how early do you think this can be started? So lemme start off first with, what do you do?

Melanie Trecek-King (18:28):

So I use three different strategies. One is, I provide students with a toolkit. And the toolkit is one that I created and it is like my one toolkit to rule them all. It is trying to apply critical thinking and science reasoning all together in one place. So that if students are met with a claim, they’ve got the toolkit with an acronym. They can now start and have somewhere to go. In that if I gave you a claim and said, “Just critically think through this claim,” I mean, that’s a mighty task. But if you have a structured toolkit, then it’s hopefully a systemic way that’s helpful. The toolkit is summarized by FLOATER. I have published it on Skeptical Inquirer. It’s free. So it’s Falsifiability, Logical, Objectivity, Alternative Explanations, Tentative Conclusions, Evidence, and Reproducibility. So I provide students with a toolkit. The next thing I do is I use a lot of misinformation in class. Back to what Carl Sagan says: What I heard was we should use pseudoscience to teach students the difference between a pseudo-scientific process and a scientific process. So, I use science denial, conspiracy theories, and give my students a lot of opportunities to practice evaluating claims with the toolkit. And the other thing I do is, I use inoculation activities. So inoculation theory is based on William McGuire’s original research in the ’60s, which is basically like a vaccine analogy. Where you can inject a small amount of a virus or bacterium into the body, so that it creates an immune response, so that it can learn the real thing. And so in the real world, it can fight it off. Inoculation theory does the same thing, but with misinformation. So, what we can do is, in controlled environments, expose students to little bits of misinformation so that they can recognize it in the real world. There’s different kinds of inoculation, but I’m a big fan of what’s called active and technique-based inoculation. So technique-based means that students are learning not the facts of misinformation, not factually why this thing is wrong, but about the technique used to deceive. So maybe the use of fake experts. Or maybe the use of anecdotes. Or the use of logical fallacies. The other part of that is active, which is where students create the misinformation. So for example, my students, just now, we finished covering pseudoscience. And I teach students the characteristics of pseudoscience. And basically we have fun with it. Where they pretend to be grifters and they sell a pseudoscience product. And so they have to make an ad like they’d see on social media, using the different techniques. And the point there is that it’s supposed to be funny, right? And lighthearted. But in a real way, by using the techniques used to sell something like pseudoscience, it’s opening their eyes. You can’t unsee how every alternative product has, “it’s an all-natural and used for centuries and millions use it and look at this person who says, ‘Wow, it worked for me!’ And it’s certified by some society that doesn’t exist, but this doctor behind it says that it’s really great!” I mean, it’s all the same stuff. So they create the misinformation using their own techniques.

Eric Cross (22:02):

That’s one of my favorite things that you’ve talked about, and I want to dive in that a little bit more. But when you’re teaching the toolkit, FLOATER, what does that look like in the classroom, when you’re actually breaking all of those things down? What does it look like as you’re walking your students through this, and you’re kind of coaching them on all of those different things? ‘Cause I feel like some things might be like, “Oh yeah, I got that.” And then some of them might be, “Oh, what is that?”

Melanie Trecek-King (22:24):

Yeah, it takes me probably a good solid lecture to get through the basis of the toolkit. But then over the rest of the semester, I’ll spend more time going into different parts, different rules, a bit more in-depth. So, for example, logical fallacies and objectivity. So the rule of objectivity basically states that you need to be honest with yourself. I’m gonna quote Feynman here, so: “The first principle is that you must not fool yourself — and you are the easiest person to fool.” We don’t tend to think that we can be fooled. But of course we can. So actually, if you wanna talk about it, I start class by fooling my students.

Eric Cross (23:03):

Wait, what do you do? What do you do for that?

Melanie Trecek-King (23:05):

Oh, so this is really fun. Day 1 of class, after the syllabus, I tell my … so you’re in my class now, Eric. “So I have a friend, and she’s a psychic. She’s an astrologer and she’s pretty good at what she does. I mean, she’s got books and she’s been on TV and stuff. She knows I teach this course about skepticism. And so she’s agreed to test how effective she is by providing personality assessments to students in class. So if you wanna participate, what I need from you is your birthday, your full name, answer a few questions. Like, if your house was on fire and you could take one thing, what would it be? Or if you could get paid for anything to do anything for a living, what would it be? Um, there’s a third one. Oh! If you could have any superpower, what would it be?” So the next class, it’s usually over a weekend. The next class I say, “OK, I’ve got your personality assessments back, but remember, we wanna test how effective she is. So in order to do that, I need you to read your profile as quietly as possible. And then I’m gonna have you rate her accuracy on a scale of 1 to 5. OK? So close your eyes; rate her.” Over the years doing this, it’s about a 4.3 to 4.5 out of 5. They think she’s pretty accurate. OK? “So now, if you feel comfortable, get with a person next to you. And I want you to talk about what parts of the personality assessment really spoke to you and, and why, and why you thought she was accurate or not.” And it takes them 5, 10 minutes before they realize they all got the same one. So, this is not my original experiment. It was first done by Bertram Forer in … I think it was the ’50s. And it’s done in psychology classrooms. James Randi made it famous. But the personality assessment itself is full of what are called Barnum statements. So, named after P.T. Barnum. These are statements that are very generic. So, “You have a need to be liked and admired by people. You are often quiet and reserved, but there are times where you can be the life of the party.”

Eric Cross (25:13):

How do you know this about me, by the way? This is a — I feel like you know me right now.

Melanie Trecek-King (25:17):

“There are times where you’ve wondered whether you’ve done the right thing.”

Eric Cross (25:19):

This is getting weird.

Melanie Trecek-King (25:21):

I’m just on fire, right? So these are Barnum statements. They’re the basis of personality assessment.

Eric Cross (25:29):

Mel, can I pause you right there? You said Barnum. Is that the same Barnum, like Barnum & Bailey Circus?

Melanie Trecek-King (25:34):

Yeah. P.T. Barnum, who didn’t actually say “There’s a sucker born every minute,” but we attribute him with that kind of ethos. These statements though, if you read a horoscope or even like personality indicators, like the MBTI, it is basically pseudo-scientific. And it ends up with lots of these Barnum statements. They produce what’s called the Barnum Effect, which is, “Wow, that’s so me! How did you know me?” I could even do more. Like, you have a box of photos in your house that need to be sorted. Or unused prescriptions. And these can apply to nearly everyone, but they produce this effect where we go, “Wow, that is so me!” Right? So by fooling them this way, I get to … well, so the next thing is, “Yes, I lied to you. And I’d like to tell you I won’t do that again. But I’m not going to, ’cause I might. So be on your guard.” But I did it for free. And why did I do it? “I did it because I could tell you ‘I could fool you,’ but you wouldn’t necessarily believe me. So I fooled you, so that you would learn what it feels like to be fooled.” It’s not fun. But we’re gonna make a joke outta this. And students are almost never upset about this ’cause it’s a fun process and they’re all fooled. And again, the point is, I didn’t disprove psychic powers. I didn’t just disprove psychics with this exercise. But I did show you how easy it was to fake. So if somebody is gonna tell you that they can know these things about you through some way, hopefully the evidence they provide should be stronger than something that’s easily faked. Right? Extraordinary claims require extraordinary evidence. If you claim to be able to read my personality based on my birthdate, then I need more than something that you can be taught to do in 15 minutes. So, I fool them to convince them that they could be fooled.

Eric Cross (27:27):

You’re giving them a practice scenario for thinking. And I was thinking about basketball. I grew up playing basketball. And my coach would have our own team be the defenders of the next team we were gonna play, so that we can be prepared for the defense. We were gonna see. Now, when I’m thinking about education, and what you just said reminded me of this, it’s like we’re often just teaching offense. We’re always teaching the plays. We’re always teaching what to do. But we rarely teach defense. What happens when someone comes towards you and, and they challenge you or they come at you with claims? How do we evaluate this? And I think in pockets we do it. We do claim-evidence-reasoning. We present claims and evidence and reasoning. But we don’t always have practice defending them. And I think there’s great resources. There’s Argumentation Toolkit and there’s all these awesome resources that do this. But does that fit? You’re kind of having them practice defense?

Melanie Trecek-King (28:26):

Yeah. You know, that’s brilliant. I never considered that analogy. But, yeah, in the real world, you don’t just get to always try to score all the time. Someone’s gonna challenge you and give you a claim that maybe you haven’t heard before. So how do you think through it?

Eric Cross (28:41):

Yeah. And you become better. So now I’m thinking about how early could we start doing this? For one, I love the idea of lying to your students, because I do that. And it’s just such a fun scenario. How early could we start implementing these strategies or these ideas or these toolkits? In your mind, what do you imagine? How early could we start this with young people?

Melanie Trecek-King (29:07):

Yeah. I’m so glad you asked that question, ’cause honestly, by the time they get to me, it’s almost too late. And I don’t wanna say it’s too late, ’cause it’s never too late. But, oh, we need to start so much earlier! That example that I gave about the selling pseudoscience argument? I have a wonderful colleague, Bertha Vasquez, who’s a middle school teacher in Miami and the director of TIES at CFI. She did this with her middle school students. And quite frankly, their examples were just as good, or in some cases better, than my college students. And they had so much fun with it, too. And she just said that, you know, <laugh>, they actually are more savvy with the kinds of things that they see online than we — I don’t wanna say give them credit for. But almost that we want to believe. My students give me examples of things that are from corners of the internet that I didn’t know existed. And quite frankly, that’s probably a good thing for my own mental health. But students are on there too, like middle school students, and we need to prepare them for the kinds of things that they see in the wild.

Eric Cross (30:13):

So in middle school, definitely. Now, you’ve also done some work in high school as well, right? In Oklahoma? Did you do some. …?

Melanie Trecek-King (30:17):

Yeah.

Eric Cross (30:18):

…some work with high schoolers? What was that like? Did you see any impact there?

Melanie Trecek-King (30:21):

So I didn’t actually do it in Oklahoma. I have taught the course … actually, you were talking about younger kids. I’ve taught the course to high schoolers in my area that are parts of dual enrollment. And they absolutely ate up the curriculum. And they were wonderful, wonderful students. And it was completely appropriate for … they were juniors, actually. But the course has also been taught in Oklahoma, through a dual enrollment program as well. And it was a small sample size. But we have pre-post testing that showed that it improved their critical thinking, their acceptance of science. But anecdotally the head of the program there said that in his years doing this, he’d never seen a course that helped them improve in their other courses so well. So, I felt very rewarded by hearing this. But apparently their critical thinking skills and information literacy skills helped them succeed in their other courses that they were taking. And I love that the students were transferring those skills to other classes. That’s the whole point.

Eric Cross (31:23):

And that’s a big … I think that what you just said is really the core, especially of what we’ve been talking about this season: What you’re talking about and what you’re teaching can transfer and supports literacy. And this is an example of science doing that across all other content areas. So I think that that’s huge, that that was said. What do people say about this course? I know I went on your website, and I looked at some of the comments that some folks were saying, and I know it’s just a snippet, but what do you hear from the education world about this? Because I don’t see it in many places. I see it kind of embedded, sprinkled into different content areas. But you’re actually teaching it explicitly. Do you tend to find positive feedback, overwhelmingly? Or do you get pushback on on some of this? What’s it been like for you?

Melanie Trecek-King (32:16):

I think the biggest pushback — and it’s good pushback, and I would agree entirely — is with inoculation activities, you do need to be careful to, when you debrief students, you wanna tell them why you did what you did and to use their powers for good and not for fooling other people. And I think importantly, for not putting misinformation out into the wild without having context around it. So if you do these kinds of inoculation activities, like if you have your students create pseudoscience ads, don’t just let them put them on social media. Obviously, you can’t control everything that they’re doing. But explain to them why you wouldn’t wanna do that. As far as everything else, I’ve heard really great feedback. You’re referencing my website. So, when I put together the course, I was trying to find resources for students to read. Textbooks are ridiculously expensive and I couldn’t find anything that I really wanted students to buy. So I just started writing, and I put it on my site. I have a site that’s basically the core of the curriculum. More in progress. And then I’ve got some of the topics that we explore and those are all assigned readings. My students are captive, in that I know they want a grade, and for four months they have to sit with me for the entire semester, in that I’ve specifically ordered the content in a way that would be most conducive to them learning these things. On the internet, though, and on social media, ’cause I post on there as well, people come in from all kinds of entry points, and so the goal would be to have them start at the beginning and go to the end. But people … I’m pleasantly surprised that there is an audience for critical thinking and science literacy content out there. And so that really warms my heart. But I am doing more and more for educators. And so I have a section for educators. I put content on there. I put assignments, the assignments that we’ve talked about and more, are on there. And the educators that I’ve had use it have just been really wonderful. Like, I hear great things. If I might, the biggest issue that I’m having is actually reaching educators. I’ve gone to — I met you at NSCA, actually, that was only last summer.

Eric Cross (34:30):

Oh, wow. Wow.

Melanie Trecek-King (34:32):

Right?

Eric Cross (34:32):

Yeah, you’re right. It wasn’t even a year.

Melanie Trecek-King (34:35):

Yeah, I think it was like July last year. So, um, you’ve been to the conferences. And I just went to the last one as well. But I have yet to figure out a way to really get in front of enough educators to share the content. So if anybody’s listening and is interested in learning more, please let me know! <Laugh>

Eric Cross (34:52):

Yes. And we talked about your website, but I didn’t say what the website was. So it’s ThinkingIsPower.com.

Melanie Trecek-King (34:57):

Yes.

Eric Cross (34:58):

And on there, there’s tons of resources. There is the toolkit. And it’s all free.

Melanie Trecek-King (35:06):

Yes.

Eric Cross (35:07):

And there’s a dope t-shirt on there that I just bought today, that Melanie’s actually wearing right now. It says, “Be curious, be skeptical, and be humble.” And I love that. Because I think one of the things that we can’t forget about teaching people how to think and critically evaluating information, sometimes those conversations can become very dehumanizing. And what I mean by that is it sometimes can become, like, intellectual sport, where we forget that there’s a human being on the other other side. And we lose that empathy and compassion. We can kind of see that. It just becomes this intellectual jousting and arguing. And one of the things I know about you, and when you talk about this or you talk about the work that you do, and even the shirt that you’re wearing, there’s this, “be humble.” There’s this human that is never lost in this. And you said it, too: When you’re teaching your students and you’re equipping them with all of these intellectual skills and all of these tools, to use it for good. So to maintain your humanity, to maintain your character, and then to use it to edify and lift people up, not to go out and do harm. That balance, I think, is so, so important. So it’s something that I really appreciate about you and how you teach.

Melanie Trecek-King (36:19):

I appreciate those kind words. Actually—

Eric Cross (36:21):

Oh, of course!

Melanie Trecek-King (36:22):

—and if I might, I sometimes see people using critical thinking like a weapon. It’s like, “I have learned fallacies and I’m just gonna use the tools of critical thinking to tell you why you’re stupid, or why you’re wrong, and why my position is right!” But real critical thinking involves applying those same standards to your own thought processes. And even something like argumentation: the goal of our argumentation is not to BE right; it’s to GET it right. And so we’re on the same team. If we’re arguing about something, if the idea is in scientific argumentation we’re trying to find the truth, which one of us is making a better argument based on the evidence? Can your perspective help me see my own blind spots and vice versa? And the more different perspectives that we have, the more able we are to find whatever reality is. But we are in this together. And so, yeah, I think … I’m glad to hear that that’s coming through. But if you don’t have the kind of humility that says, “You know, I could be wrong,” then you’re never gonna change your mind anyway. So having the humility to say, I’m wrong. <Laugh>

Eric Cross (37:33):

Yeah. You end up just seeing people just defend turf, as opposed to support “look for truth.” And I know for me, my own education journey, I end up with more questions than answers anyways. So I go in trying to find an answer for something and I end up with 10 more questions. And I go, “OK, this is kind of how it is.” You go down this rabbit hole and you just end up with all these different questions. And it forces the humility, because you’re like, “I don’t know! I think this is what it could be, but it could also be these other answers or explanations. So this is just where I’m at, based on what we know right now, at this present time, which might shift.”

Melanie Trecek-King (38:07):

And that sounds reasonable. Yes. Which might shift. Yes.

Eric Cross (38:11):

And especially for us as life-science biology teachers, our content is something that definitely shifts. I know some of the things I teach now are not things that I learned when I was even in middle school. Just because things evolve. They change. We learn, we get new data. That’s just the way it is.

Melanie Trecek-King (38:24):

<Sighs> And Pluto is no longer a planet.

Eric Cross (38:26):

I know. Rest in — well, no, Pluto’s still there. Yeah. It’s no longer a planet. But that was one part of my kindergarten memorizations <laugh> is Pluto being in there.

Melanie Trecek-King (38:36):

Gotta change your mind.

Eric Cross (38:38):

I know. Any words of advice for science educators out there who want to focus more on honing these critical thinking skills and strategies with their own students, but they don’t know where to start? Where would you point them? Or what advice would you give them?

Melanie Trecek-King (38:52):

I think start with what you want the students to know. And not necessarily the FACTS that you want students to know, but start with the skills that you want them to know. And then really be honest with your process. When I designed Science for Life, I started with, “these are the skills that I want students to know.” And everything was in service of that. So this sort of backwards design, I think, helped me follow a path that was more likely to be useful, if that makes any sense. But it really required doing it all over again. So don’t be afraid to question the things that you’re currently doing, even if that’s all you’ve been taught or all you know.

Eric Cross (39:41):

What I’m hearing is, don’t be afraid to question your own assumptions about what you’re doing. And don’t be afraid to adapt or change or modify. Kinda, pivot. Be flexible.

Melanie Trecek-King (39:51):

Yes, be flexible and pivot. And this is where I’m in a different position than middle school and high school educators. Because I have complete freedom over what I teach in my class.

Eric Cross (40:01):

Sure.

Melanie Trecek-King (40:01):

At the end of the semester, I always joke with non-majors that there’s nothing they have to know, which actually gives me a lot of flexibility, because I could teach ’em a lot of different things. So if there are things that you have to teach students, obviously that’s one thing. But I personally think that the way that we’ve been teaching science needs a refresher. A rethinking. And so I would say, “If you want your students to learn science literacy, honestly ask, what does that mean to you? And what would that look like to get to that point?” For me, though, it was also keeping in mind that maybe I didn’t already know the best way to do that.

Eric Cross (40:43):

One of the things you mentioned earlier is trying to reach out to educators. And I know that when we work together, it’s a force multiplier. And what you’re doing is developing skills. And there’s these skills that are happening right now in academia that you’re doing. And then how do we transfer that into middle and high school. Or, I’m sorry, middle and elementary school, high school. We need to get more people into this conversation to kind of brainstorm and figure that out. We have a Facebook group, Science Connections: The Community, where we have educators that gather. That can be one place we start the conversation. And again, I know on your website you’ve been super active on social media; you’ve grown your presence on Twitter and all these different places, engaging with folks. Which is awesome. ‘Cause I know I see your posts and I’m saving the things that you’re posting and I’m thinking of ways that I can do it in my classroom. I’m gonna take that product. By the way, is that on your website, the lesson that you do with the product?

Melanie Trecek-King (41:43):

No, actually. So the article, “How to Sell Pseudoscience” is … I know Bertha Vasquez wrote up a version of it.

Eric Cross (41:50):

Maybe we can grab that. ‘Cause we might be able to put that into the show notes for folks, because she’s a middle school educator. If there’s already something that’s been done for teachers like us, we’re like, “Yeah, let me get that and let me remix it and make it my own!” if there’s already a exemplar out there.

Melanie Trecek-King (42:04):

Yeah, she’s done it. And so I will absolutely share that with you.

Eric Cross (42:08):

So, all season long, we’ve been talking about science as the underdog. We kind of framed it, you know, science oftentimes takes a back seat to math and English. It’s kinda the first thing to go. Or the first area where time can get cut. Because of what gets tested gets focused on, oftentimes. And then in addition to that, when you’re a multi-subject teacher, elementary science isn’t just one thing — it’s every field. You know, you’re a biologist, which is different than a geologist. And when you’re teaching every subject, that’s a lot. And you might not have had a science class for years. And the realities that we’re seeing over and over with different researchers and practitioners is that science could actually enhance literacy, and building those skills. And I think you really talked about it with the critical thinking skills. Those can transfer. Or the administrator that said, “This is one of the only courses I’ve seen where it transfers to other areas.” Could you share maybe with our listeners, just any advice for advocating for science in their own world?

Melanie Trecek-King (43:13):

Wow, I’m not sure I’m qualified to answer that question! One of the things that comes to mind though — because I was listening to your last episode and educators … I honestly didn’t realize how little time they had for science. And how often science was then the first to go, to allow room for other subjects. But science overlaps with a lot of other issues. And so I feel like there could be a way to bring in science when teaching these other subjects. So, for example, argumentation and logical fallacies are easy to apply to reading and writing. Information literacy, and being able to find good information online, teaching students how to laterally read, to be able to check a source, or how to use Google effectively, to put in neutral search terms to find sources, or teaching students how to recognize the characteristics of conspiratorial thinking: All of these things can overlap with so many other subjects. So the scientist in me is a little biased towards science being important enough to do this. But try to bring it into the other subjects. It doesn’t have to be completely separate.

Eric Cross (44:43):

So integrating science into other things. And I … big believer. And a hundred percent agree with you. Now I’m gonna ask a question that kinda like takes us backwards. You shared an app with me when we first met that I thought was really cool. And I know it’s a friend or colleague of yours. But as a middle school teacher, I thought it was great, because it was something that my students could download and practice some of the skills that you’re talking about. Would you talk a little bit about the cranky uncle? Is it the Cranky Uncle app?

Melanie Trecek-King (45:17):

Cranky Uncle.

Eric Cross (45:18):

Could you share a little bit about that?

Melanie Trecek-King (45:20):

Yeah. Cranky Uncle is awesome. So, Cranky Uncle is the brainchild of John Cook, who is the founder of Skeptical Science and the author of the 97% Consensus study on climate change. Cranky Uncle … so he’s also a cartoonist. And Cranky Uncle is a cartoon game where … I don’t even have to explain who Cranky Uncle is to my students. Everybody inherently gets the, the character, right? So he’s like the guy at Thanksgiving that you don’t wanna talk to because he denies climate change and he’s just really cranky. But Cranky Uncle uses the techniques of science denial, which are summarized by the acronym FLICC: So it’s Fake experts, Logical fallacies, Impossible expectations, Cherry-picking, and Conspiratorial thinking. So he uses those techniques. Again, this is technique-based inoculation. So they recognize the techniques in the game, and you earn cranky points. And as you make Cranky crankier and crankier because you’re recognizing his techniques, you learn the techniques of science denial, and level up and open up other techniques. This is another one of those examples where climate change has a lot of science behind it, right? And if you wanted to get to the science behind climate change for any particular issue … so let’s say it’s cold today, so I’m gonna say there’s no climate change. OK? If I’m gonna unpack that at a factual level, and with science, we could be here for a while. But if I told you, “That’s like saying, ‘I just ate a sandwich so there’s no global hunger.’” OK? So that’s a parallel argument. Humorous. Love to use this kind of argumentation, ’cause it makes for some … I mean, it’s funny, but you get the point. It’s an anecdote. And anecdotes aren’t good evidence. So just like that, you could teach the technique of using an anecdotal fallacy for climate-change denial. So, I have my students play this game. You could do it when you’re studying argumentation. You could do it for science denial. I use an inoculation extension with that, where I have my students pretend that … um, actually, back up for a second. So I teach a class on critical thinking. And at the end of semesters I would get emails from students on, well, they’re failing the class, but they really shouldn’t, for all of these reasons. And reading these emails, I’m like, “If you think that’s a good argument, you clearly didn’t learn what I was hoping you would learn.” So I now have my students, early in the semester, after they play Cranky, pretend that it is the end of the semester and you’re failing the class and you’re failing because you didn’t do the work. Use at least four of the fallacies from class to argue for why you should pass. So they have to put it on a discussion forum, and they’ll say things like, “Well, if you fail me, then I won’t get into graduate school and then people will die and it will all be your fault.” Or, “My dog died, and so I was really sad.” Or, um, “You’re just a terrible teacher. And you’re short. So I don’t like you.” Or that kind of thing. So, oh, they love to attack my character. It’s really funny. But it’s supposed to be funny. And the point is, the students are using those arguments, they’re using the fallacies, to argue for something. And so by creating that misinformation themselves, they learn how those fallacies work. But taken together, I mean, everything that we just talked about there, Cranky Uncle, and the fallacy assignment, or whatever iteration you want that to be in, that doesn’t have to be in a purely science unit. Right? That could be sociology. It could be argumentation. It could be English.

Eric Cross (49:01):

Absolutely. That could be totally a prompt in an English class. And practiced in there. And then this could be an interdisciplinary thing, going back and forth between English and and science. Just having these discussions and looking at it from different angles. And you’re practicing the skills in two different contexts. So you get into argumentation. And then that app, I know I had fun with it. And the questions on there definitely resonate with people in my own family. I’m like, “I feel like I’m talking to exactly somebody that I’m related to right now.” <Laugh> Melanie, anything else that you wanna share, or discuss or highlight, before we wrap up?

Melanie Trecek-King (49:39):

So we could talk about lateral reading, if you like. ‘Cause I know a lot of educators use the crap test.

Eric Cross (49:45):

Please, please, please talk about that.

Melanie Trecek-King (49:47):

So, when evaluating sources, a lot of educators teach what’s called the CRAP test. And I wish I remembered what it stood for. But basically what you do, a lot of us have been taught when you go to a website, to figure out if it’s reliable, you wanna go to the about page. Read the mission; see who they are; maybe read some of the content; evaluate the language. So is it inflammatory? Are they making logical arguments? Are the links to reputable sources as well? And the problem is that if a site wants to mislead you, they’re not going to tell you that it’s a bunk site, right? They’re just gonna do a good job of misleading you. And so, what you wanna do instead … the CRAP test basically is an evaluation of a site. And that’s what’s called vertical reading. So you’re looking through a site to determine if it’s reliable. Uh, I think his name’s Sam Wineberg at Stanford, proposed something called lateral reading. Where, instead of on the site, what you wanna do is literally open a new tab and into the search engine type the source. You could do the claim, too. And then something like Reliability or FactCheck or whatever it’s that you’re checking, and then see what other reputable sites have to say about it. So, in their study, actually, they did a really interesting study where they compared professional fact checkers to PhD historians to Stanford undergrads. And they evaluated — I wish you could … um, there’s two pediatrician organizations. One’s like the American Association of Pediatrics and the American Academy of Pediatricians, something like that. They’re very similar sounding. So you give them to students. I do this with my students as well, the same study. So I give my students those two websites. And I say, “Which one of these is more reliable?” And they do exactly what most of us do, which is spend time on the site looking around. And most of the time, if not nearly all the time, they come to the wrong conclusion. And so then I tell them what lateral reading is: “OK, instead of looking through the site, open a new tab, search the organization and reliability.” Something like that. And it takes probably 30 seconds before they realize one of them has been dubbed by the Southern Poverty Law Center as a hate group. As opposed to the other one, which is like a hundred year old huge pediatrician organization that produces their own journals and so on. But nearly all my students are fooled. And in the study, none of the fact checkers were fooled. I’m gonna get the number right. It’s something like 50% of the historians and 20% of the Stanford undergraduates got the correct answer. And they spent a lot more time on it. So it’s a great way to teach students how to use the power of the internet to evaluate sources much more quickly and, effectively. And yes, use Wikipedia, right? Wikipedia is not a final answer, but Wikipedia is actually pretty accurate. So if Wikipedia is the first place you stop, then yes, go there, see what Wikipedia says, and then follow some of their sources.

Eric Cross (52:47):

What popped in my head was like, Yelp reviews for websites. That almost sounds like what it was. It’s like when I search for a product, I don’t go and read the product description marketing. ‘Cause that’s all designed to sell me on something. But I’ll go and look in Reliability, if it’s like a car, or just other sites to cross-reference. And that sounds like what you were talking about is like cross-referencing. Seeing what FactChecker [sic] said about this site, versus seeing what a site says about itself.

Melanie Trecek-King (53:14):

Well, that’s a great analogy. Because if I wanted to know if a product was effective, what the manufacturer says about the product, clearly there’s a strong chance of bias. Right? They’re going to be on their best, um, put their best foot forward. Versus, what do independent reviewers say about this product?

Eric Cross (53:35):

Yep. And I am known to research something to death. And I get something called “paralysis by analysis.”

Melanie Trecek-King (53:42):

Ohhhh, yeah.

Eric Cross (53:44):

And it’s so bad that even if I’m trying to buy, like, towels, I need to find the best-bang-for-the-buck towel. I have to defer some of these decisions out, because I’m on the internet for three hours now. I’ll be a pseudo-expert in towels, and thread count, and all of that stuff. But yeah, that maybe that’s just the science person.

Melanie Trecek-King (54:03):

I mean, I feel your pain. I do the same thing. <Laugh> It’s annoying. Like, it’s just towels. What does it really matter? But yeah.

Eric Cross (54:10):

Coffee! It doesn’t matter what it is. I just need to go, “OK, I have to use these powers for good. Otherwise I’m gonna be researching forever.”

Melanie Trecek-King (54:16):

I wanna say one other thing. So, again, this is a college class and I have a lot of freedom. But one of the driving philosophies behind the class is a wonderful quote in a book, Schick and Vaughn, How to Think about Weird Things. And they said, “The quality of your life is determined by the quality of your decisions, and the quality of your decisions is determined by the quality of your thinking.” And I know my students want a grade. But I’m really trying to teach them how to be empowered through better thinking. That’s where the name “Thinking is Power” came from. I mean, we say “Knowledge is Power,” but it’s not enough to know things. And there’s too much to know. So being able to think and be empowered to have your own agency and not fall for someone’s bunk is my goal for my students.

Eric Cross (55:07):

And doing that is gonna help them through the rest of their lives. Not be swindled, not be taken advantage of, be able to make better decisions. There’s so many benefits to building that skill. And I know your students have definitely grown and benefited. I’m sure you’ve heard, long after you’ve taught them, heard back from them and how they’ve applied that course to their lives. Melanie, thank you so much for being here. For a few things. One, for providing and filling this space where there’s such a need. Again, the critical thinking resources, the tools that you used, are so, so important. If we ever lived in a time where they were critical, it was really what we experienced during the pandemic in the last few years. We watched people’s information literacy and science literacy play out in real time. And we literally saw life-and-death decisions being made based off those skills. That highlighted, I think how important this is. And then, taking the time to generate resources for educators like myself, that we can take and adapt and put into our classroom and start teaching our students. ‘Cause like you said, by the time they get to you, they’re, they’re so far downstream or so far in a system that, depending on the teachers that they’ve had and the education system they’ve been in, may or may not have even touched on these things. They might have learned a lot of facts, but they may not have built their muscle to be able to critically analyze and interpret the world around them. And you’ve just — even the last year, it hasn’t even been a year since we talked the first time — I’ve watched your resources continue to grow, and you share them. And so I, on behalf of those of us in K–12, thank you. And thank you for being here.

Melanie Trecek-King (56:49):

Oh, well, thank you so much for this opportunity. Thank you for everything that you do, reaching out to other educators and for giving me a platform to hopefully reach other educators.

Eric Cross (57:00):

Thanks so much for listening to my conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College and creator of Thinking Is Power. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. You can find more information on all of Amplify shows at our podcast hub, Amplify.com/Hub. Thanks again for listening.

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What Melanie Trecek-King says about science

“Students carry in their pocket access to basically all of humanity’s knowledge at this moment in time. The question is: do they know what they’re looking for?”

– Melanie Trecek-King

Associate Professor of Biology at Massasoit Community College and creator of Thinking is Power

Meet the guest

Melanie Trecek-King is the creator of Thinking is Power, an online resource that provides critical thinking education to the general public. She is currently an associate professor of biology at Massasoit Community College, where she teaches a general-education science course designed to equip students with empowering critical thinking, information literacy, and science literacy skills. An active speaker and consultant, Trecek-King loves to share her “teach skills, not facts” approach with other science educators, and help schools and organizations meet their goals through better thinking. Trecek-King is also the education director for the Mental Immunity Project and CIRCE (Cognitive Immunology Research Collaborative), which aim to advance and apply the science of mental immunity to inoculate minds against misinformation.

A woman with long blonde hair and a black top is shown in front of a blue background, framed by a circular graphic with an illustrated flask in the corner.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! 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. 

Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsDesmos Math 6–A1
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane [Free lesson]
Lesson 2: Finding Area by Decomposing and Rearranging
Lesson 3: Reasoning to Find Area
Unit 1
Lesson 2: Letters
Topic 2: Parallelograms
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 8: Area of TrianglesUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 9: Formula for the Area of a Triangle
Lesson 10: Bases and Heights of Triangles
Unit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Topic 4: Polygons
Lesson 11: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons
Practice Day 1 (Print available)
Unit 7
Lesson 11: Polygon Maker
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 9: Renata´s Stickers [Free lesson]
Lesson 13: PolyhedraUnit 1Lesson 10: Plenty of Polyhedra
Lesson 14: Nets and Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 13: Take It To Go
Lesson 15: More Nets, More Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Practice Day 2 (Print available)
Lesson 16: Distinguishing Between Surface Area and Volume
Topic 6: Squares and Cubes 
Lesson 17: Squares and CubesUnit 6
Lesson 12: Squares and Cubes
Lesson 18: Surface Area of a Cube 
Topic 7: Let’s Put It to Work 
Lesson 19: Designing a TentUnit 1
Lesson 13: Take It To Go (Print available)

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)
Lesson 2: Representing Ratios with DiagramsUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)Lesson 3: Rice Ratios (Print available)
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 3: Rice Ratios (Print available)
Lesson 4: Color MixturesUnit 2Lesson 7: Mixing Paint, Part 1Lesson 12: Mixing paint, Part 2
Lesson 5: Defining Equivalent RatiosUnit 2Lesson 3: Rice Ratios (Print available)Lesson 4: Fruit Lab [Free lesson]Lesson 11: Community LifePractice Day 1 (Print available)
Topic 3: Representing Equivalent ratios
Lesson 6: Introducing Double Number Line DiagramsUnit 2Lesson 5: Balancing Act
Lesson 7: Creating Double Line DiagramsUnit 2Lesson 5: Balancing ActLesson 6: Product prices (Print available)
Lesson 8: How Much for One?Unit 2Lesson 6: Product prices (Print available)
Lesson 9: Constant SpeedUnit 2Lesson 8: World Records (Print available)
Lesson 10: Comparing Situations by Examining RatiosUnit 2Lesson 7: Mixing Paint, Part 1 
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2Lesson 9: Disaster Preparation [Free lesson]
Lesson 12: Navigating a Table of Equivalent Ratios
Lesson 13: Tables and Double Line Diagrams
Unit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1
Lesson 14: Solving Equivalent Ratio ProblemsUnit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1Lesson 10: BalloonsLesson 11: Community Life (Print available)
Topic 5: Part-Part-Whole Ratios
Lesson 15: Part-Part-Whole RatiosUnit 2Lesson 12: Mixing paint, Part 2Lesson 13: City Planning
Lesson 16: Solving More Ratio ProblemsUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Topic 6: Let’s Put It to Work 
Lesson 17: A Fermi ProblemUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)Practice Day 2 (Print available)

Unit 3: Rates and Percentages

Topic 1: Units of Measurement 
Lesson 1: The Burj KhalifaUnit 3
Lesson 4: Model Trains
Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements (Print available) [Free lesson]
Lesson 3: Measuring with Different-Sized Units
Lesson 4: Converting Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 8: More About Constant SpeedUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 9: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 11: Percentages and Double Number LinesUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 12: Percentages and Tape DiagramsUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 13: Benchmark percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 14: Solving Percentage Problems
Lesson 15: Finding This Percent of That
Lesson 16: Finding the Percentage
Unit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Topic 5: Let’s Put It to Work 
Lesson 17: Painting a RoomUnit 3
Lesson 13: A Country as a Village
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]

Unit 4: Dividing Fractions

Topic 1: Making Sense of Division 
Lesson 1: Size of Divisor and Size of Quotient
Lesson 2: Meanings of Division
Unit 4Lesson 1: Cookie Cutter
Lesson 3: Interpreting Division SituationsUnit 4Lesson 2: Making Connections (Print available)
Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4Lesson 3: Flour Planner [Free lesson]Lesson 4: Flower Planters 
Lesson 5: How Many Groups (Part 2)Unit 4Lesson 5: Garden Bricks (Print available)
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4Lesson 5: Garden Bricks (Print available)Lesson 6: Fill the Gap [Free lesson]
Lesson 7: What Fraction of a Group?
Lesson 8: How Much in Each Group? (Part 1)
Lesson 9: How Much in Each Group? (Part 2)
Unit 4Lesson 8: Potting Soil
Topic 3: Algorithm for Fraction Division
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4Lesson 7: Break It DownLesson 8: Potting SoilLesson 9: Division Challenges 
Lesson 11: Using an Algorithm to Divide FractionsUnit 4Lesson 9: Division ChallengesPractice Day
Topic 4: Fractions in Lengths, Areas, and Volumes
Lesson 12: Fractional LengthsUnit 4Lesson 11: Classroom Comparisons
Lesson 13: Rectangles with Fractional Side LengthsUnit 4Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 14: Fractional Lengths in Triangles and Prisms
Lesson 15: Volume of PrismsUnit 4Lesson 13: Volume Challenges
Topic 5: Let’s Put It to Work
Lesson 16: Solving Problems with FractionsUnit 4Lesson 10: Swap Meet (Print available)
Lesson 17: Fitting Boxes into BoxesUnit 4Lesson 14: Planter Planner (Print available)

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Topic 2: Adding and Subtracting Decimals
Lesson 2: Using Decimals to Represent Addition and SubtractionUnit 5Lesson 3: Fruit by the PoundLesson 4: Missing Digits
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero DigitsUnit 5Lesson 4: Missing Digits
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits 
Topic 3: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with AreasLesson 7: Multiplication methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5Lesson 6: Multiplying with Areas
Topic 4: Dividing Decimals
Lesson 9: Using the Partial Quotients MethodUnit 5Lesson 8: Division Diagrams
Lesson 10: Using Long DivisionUnit 5Lesson 8: Division DiagramsLesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in Decimals
Lesson 12: Dividing Decimals by Whole Numbers
Lesson 13: Dividing Decimals by Decimals
Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5Lesson 11: Movie Time [Free lesson]
Lesson 15: Making and Measuring Boxes
Lesson 12: Dividing Decimals by Whole Numbers 
Lesson 13: Dividing Decimals by DecimalsUnit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)
Lesson 3: Staying in BalanceUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging Around
Lesson 4: Practice Solving Equations and Representing Situations with EquationsUnit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Lesson 5: A New Way to Interpret a and bUnit 6Lesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Topic 2: Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for NumbersUnit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Lesson 7: Revisit PercentagesUnit 3Lesson 10: What’s Missing?Lesson 11: Cost BreakdownLesson 12: More Bicycle Goals
Lesson 8: Equal and EquivalentUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging AroundLesson 6: Vari-apples
Topic 9: The Distributive Property, Part 1Unit 6Lesson 8: Products and Sums [Free lesson]
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences (Print available)
Topic 3: Expressions with Exponents
Lesson 12: Meaning of ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)
Lesson 13: Expressions with Exponents
Lesson 14: Evaluating Expressions with Exponents
Lesson 15: Equivalent Exponential Expressions
Unit 6Lesson 11: Exponent Expressions (Print available)Lesson 12: Squares and Cubes
Topic 4: Relationships Between Quantities 
Lesson 16: Two Related Quantities, Part 1
Lesson 17: Two Related Quantities, Part 2
Lesson 18: More Relationships
Unit 6Lesson 13: Turtles All the WayLesson 14: Representing RelationshipsLesson 15: Connecting Representations (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6Lesson 16: Subway fares (Print available) [Free lesson]

Unit 7: Rational Numbers

Topic 1: Positive and Negative Numbers
Lesson 1: Positive and Negative NumbersUnit 7Lesson 1: Can You Dig In [Free lesson]Lesson 2: Digging Deeper
Lesson 2: Points on the Number LineUnit 7Lesson 2: Digging Deeper
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 5: Using Negative Numbers to make Sense of ContextsUnit 7 Lesson 4: Sub-Zero
Lesson 6: Absolute Value of Numbers
Lesson 7: Comparing Numbers and Distance from Zero
Unit 7Lesson 5: Distance on the Number Line
Topic 2: Inequalities
Lesson 8: Writing and Graphing InequalitiesUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions
Topic 3: The Coordinate Plane
Lesson 11: Points on the Coordinate Plane
Lesson 12: Constructing the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 13: Interpreting Points on a Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 14: Distances on a Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Lesson 15: Shapes on the Coordinate PlaneUnit 1Lesson 1: Shapes on a Plane [Free lesson]Lesson 2: LettersLesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsUnit 7Lesson 3: Exploring Parallelograms (Print available)Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Topic 4: Common Factors and Common Multiples
Lesson 16: Common FactorsUnit 5Lesson 15: Common factors
Lesson 17: Common MultiplesUnit 5Lesson 14: Common Multiples
Lesson 18: Using Common Multiples and Common FactorsUnit 5Lesson 14: Common MultiplesLesson 15: Common factorsPractice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Drawing on the Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Topic 1: Data, Variability, and Statistical Questions
Lesson 1: Got Data?
Lesson 2: Statistical Questions
Unit 8Lesson 1: Screen TimeLesson 2: Dot Plots
Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic 3: Measures of Center and Variability
Lesson 9: Mean
Lesson 10: Finding and Interpreting the Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 11: Variability and MADUnit 8Lesson 8: Pop It!
Lesson 12: Using Mean and MAD to Make ComparisonsUnit 8Lesson 9: Hoops
Topic 4: Median and IQR
Lesson 13: MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 14: Comparing Mean and MedianUnit 8Lesson 12: In the News
Lesson 15: Quartiles and Interquartile RangeUnit 8Lesson 13: Pumpkin Patch
Lesson 16: Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 17: Using Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 18: Using Data to Solve ProblemsUnit 8Lesson 16: Hollywood Part 3 (Print available)

Unit 9: Putting It All Together

Topic 1: Making Connections
Lesson 1: Fermi Problems
Lesson 2: In Our Class Were the World
Unit 3Lesson 13: A Country as a Village
Lesson 3: Rectangle MadnessUnit 5Lesson 14: Common MultiplesLesson 15: Common factors
Topic 2: Voting
Lesson 4: How Do We Choose?Unit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Lesson 5: More than Two ChoicesUnit 3Lesson 13: A Country as a Village
Lesson 6: Picking RepresentativesUnit 8Lesson 16: Hollywood Part 3 (Print available)

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Corresponding Parts and Scale FactorsUnit 1Lesson 2: Scaling Robots Unit 3Lesson 1: Toothpicks
Lesson 3: Making Scaled Copies
Lesson 4: Scaled Relationship
Unit 1Lesson 3: Make It Scale Unit 4Lesson 3: Sticker Sizes
Lesson 5: The Size and the Scale FactorUnit 1Lesson 4: Scale Factor Challenges
Lesson 6: Scaling and AreaUnit 1Lesson 5: TilesPractice Day 1 (Print available)
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scale Drawings and Maps 
Lesson 9: Creating Scale Drawings
Lesson 10: Changing Scales in Scale Drawings
Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 2 (Print available)
Topic 3: Let’s Put It to Work
Lesson 13: Draw It to ScaleUnit 1Lesson 10: Room Redesign (Print available)

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2Lesson 1: Paint [Free lesson] 
Lesson 2: Introducing Proportional Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2Lesson 3: Sugary Drinks (Print available)Unit 4Lesson 3: Sticker Sizes
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of Equations
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2Lesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsPractice Day
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 7: Comparing Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 8: Comparing Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsLesson 11: Four RepresentationsLesson 12: Water Efficiency
Lesson 9: Solving Problems About Proportional RelationshipsUnit 2Lesson 12: Water Efficiency
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2Lesson 8: Dino Pops [Free lesson]Lesson 9: Gallon ChallengeLesson 10: Three TurtlesLesson 11: Four RepresentationsLesson 12: Water Efficiency
Topic 5: Let’s Put It to Work
Lesson 14: For RepresentationsUnit 2Lesson 11: Four Representations (Print available)
Lesson 15: Using Water EfficiencyUnit 2Lesson 12: Water Efficiency

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3Lesson 1: Toothpicks
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 5: Circumference and Wheels 
Topic 2: Area of a Circle
Lesson 6: Estimating AreasUnit 3Lesson 5: Area Strategies
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi?Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 9: Applying Area of CirclesUnit 3Lesson 6: Radius Squares (Print available)
Topic 3: Let’s Put It to Work
Lesson 10: Distinguishing Circumference and AreaUnit 3Lesson 7: Why Pi?
Lesson 11: Stained-Glass WindowsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 5: Say It with Decimals 
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 7: One Hundred percentUnit 4Lesson 6: 100% (Print available)
Lesson 8: Percent Increase and Decrease with EquationsUnit 4Lesson 5: All the Equations
Lesson 9: More and Less than 1% 
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 12: Finding the PercentagesUnit 4Lesson 4: More and Less
Lesson 13: Measurement Error
Lesson 14: Percent Error
Lesson 15: Error Intervals
Unit 4Lesson 11: Bookcase Builder
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5Lesson 1: Floats and Anchors [Free lesson]
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5Lesson 2: More Floats and AnchorsLesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 4: Money and Debts 
Lesson 5: Representing SubtractionUnit 5Lesson 5: Number Puzzles
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5Lesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]Lesson 5: Number PuzzlesLesson 10: Integer Puzzles [Free lesson]Lesson 11: Changing TemperaturesLesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Topic 3: Multiplying and Dividing Rational Numbers
Lesson 8: Position, Speed, and Direction
Lesson 9: Multiplying Rational Numbers
Lesson 10: Multiply!
Unit 5Lesson 7: Back in Time
Lesson 11: Dividing Rational NumbersUnit 5Lesson 8: Speeding Turtles
Lesson 12: Negative Rates 
Topic 4: Four Operations with Rational Numbers 
Lesson 13: Expressions with Rational NumbersUnit 5Lesson 9: Expressions (Print available)
Lesson 14: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Topic 5: Solving Equations When There Are Negative Numbers 
Lesson 15: Making and Measuring Boxes 
Lesson 16: Representing Contexts with Equations 
Topic 6: Let’s Put It to Work 
Lesson 17: The Stock market

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r
Lesson 1: Relationships Between Quantities
Unit 2 Lesson 1: Paint [Free lesson] Lesson 2: Balloon Float
Unit 4 Lesson 1: Mosaics [Free lesson] Lesson 2: Peach Cobbler (Print available)
Unit 6 Lesson 1: Toothpicks and Tiles
Lesson 2: Reasoning about Contexts with Tape Diagrams
Lesson 3: Reasoning about Equations with Tape Diagrams
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
Unit 6Lesson 2: Smudged ReceiptsLesson 3: EquationsLesson 4: Seeing Structure (Print available)
Lesson 6: Distinguishing between Two Types of SituationsUnit 6Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)
Topic 2: Solving Equations of the Form px + q and p(+ q) = and Problems That lead to Those Equations 
Lesson 7: Reasoning about Solving Equations (Part 1)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available) 
Lesson 8: Reasoning about Solving Equations (Part 2)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 9: Always-Equal Machines
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6Lesson 7: Keeping It True (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)
Lesson 11: Using Equations to Solve ProblemsUnit 6Lesson 12: Community Day (Print available)
Lesson 12: Solving Problems about Percent Increase or DecreaseUnit 4Lesson 10: Cost of College (Print available)
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6Lesson 13: I Saw the SignsLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15 Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available) 
Lesson 19: Expanding and FactoringUnit 6Lesson 8: Factoring and Expanding (Print available)Lesson 11: Equation Roundtable (Print available)
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Practice Day 1 (Print available)
Topic 5: Let’s Put It to Work
Lesson 23: Applications of ExpressionsUnit 6Lesson 12: Community Day (Print available)

Unit 7: Angles, Triangles, and Prisms

Topic 1: Angle Relationships
Lesson 1:Relationships of Angles
Unit 7 Lesson 1: Pinwheels Lesson 2: Friendly Angles [Free lesson] Lesson 3: Angle Diagrams
Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 4: Solving for Unknown AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available)
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic 2: Drawing Polygons with Given Conditions 
Lesson 6: Building Polygons (Part 1)
Lesson 7: Building Polygons (Part 2)
Unit 7Lesson 6: Is It Enough?
Lesson 8: Triangles with 3 Common MeasuresUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Topic 3: Solid Geometry
Lesson 11: Slicing SolidsUnit 7Lesson 9: Slicing Solids
Lesson 12: Volume of Right PrismsUnit 7Lesson 10: Simple Prisms
Lesson 13: Decomposing Bases for AreasUnit 7Lesson 11: More Complicated Prisms
Lesson 14: Surface Area of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 12: Surface Area Strategies (Print available)
Lesson 15: Distinguishing Volume and Surface Area
Lesson 16: Applying Volume and Surface AreaUnit 7Lesson 13: Popcorn Possibilities
Topic 4: Let’s Put It to Work
Lesson 17: Building Prisms

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8 Lesson 1: How Likely? (Print available) [Free lesson] Lesson 2: Prob-bear-bilities [Free lesson] Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: More Estimating ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Estimating Probabilities Using SimulationUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 2: Probabilities of Multi-step Events
Lesson 7: Simulating Multi-step EventsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Lesson 8: Keeping Track of All Possible OutcomesUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Topic 9: Multi-step experiments
Lesson 10: Designing SimulationsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)
Topic 5: Let’s Put It to Work
Lesson 20: Memory TestUnit 8Lesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1Lesson 1: Transformers [Free lesson]
Lesson 2: Naming the MovesUnit 1Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Grid MovesUnit 1Lesson 3: Transformation GolfLesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting CoordinatedUnit 3Lesson 6: Translations
Lesson 4: Making the MovesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 5: Coordinate MovesUnit 1Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1Lesson 5: Getting CoordinatedLesson 6: Connecting the Dots [Free lesson]
Topic 2: Properties of Rigid Transformations 
Lesson 7: No Bending or StretchingUnit 1Lesson 7: No Bending, No Stretching
Lesson 8: Rotation PatternsUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 9: Moves in Parallel
Lesson 10: Composing Figures
Unit 1 Lesson 10: Transforming Angles
Topic 3: Congruence 
Lesson 11: What is the Same?
Lesson 12: Congruent Polygons
Lesson 13: Congruence
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?Practice Day (Print available)
Topic 4: Angles in a Triangle
Lesson 14: Alternate Interior Angles
Lesson 15: Adding the Angles in a Triangle
Unit 1 Lesson 11: Tearing It Up (Print available)
Lesson 16: Parallel Lines and the Angles in a TriangleUnit 1 Lesson 10: Transforming Angles
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate [Free lesson]

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Similar Polygons 
Lesson 8: Similar Triangles
Lesson 9: Side Length Quotients in Similar Triangles
Unit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Topic 3: Slope
Lesson 10: Meet SlopeUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day (Print available)Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 11: Writing Equations of LinesUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: SolutionsLesson 11: Pennies and Quarters Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 12: Using Equations of LinesUnit 3Lesson 9: Coin Capture
Topic 4: Let’s Put It to Work
Lesson 13: The Shadow KnowsUnit 2Lesson 8: Shadows

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Graphs of Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Unit 5Lesson 4: Window Frames
Lesson 3: Representing Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window FramesLesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Comparing Proportional RelationshipsUnit 3Lesson 3: Posters
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 4: Stacking CupsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: More Linear RelationshipsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 7: Representations of Linear RelationshipsUnit 3Lesson 5: Flags [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 8: Translating mx + bUnit 3Lesson 3: PostersLesson 6: Translations
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 11: Equations of All Kinds of LinesUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Topic 4: Linear Equations 
Lesson 12: Solutions to Linear EquationsUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: More Solutions to Linear EquationsUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: Solutions
Topic 5: Let’s Put It to Work 
Lesson 14: Using Linear Relations to Solve ProblemsUnit 3 Lesson 11: Pennies and Quarters

Unit 4: Linear Equations and Linear Systems

Topic 1: Puzzle Problems 
Lesson 1: Number PuzzlesUnit 4Lesson 1: Number machines
Topic 2: Linear Equation in One Variable 
Lesson 2: Keeping the Equation BalancedUnit 4Lesson 2: Keep It Balanced
Lesson 3: Balanced MovesUnit 4Lesson 3: Balanced Moves
Lesson 4: More Balanced MovesUnit 4Lesson 4: More Balanced Moves (Print available)
Lesson 5: Solving Any Linear EquationUnit 4Lesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Strategic SolvingUnit 4Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or No Solutions
Lesson 8: How many Solutions?
Unit 4Lesson 7: All, Some, or None?
Lesson 9: When Are They the SameUnit 4Lesson 8: When Are They the Same?
Topic 3: Systems of Linear Equations
Lesson 10: On or Off the Line?Unit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4 Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 14: Solving More Systems 
Lesson 15: Writing Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Problems with Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Introduction to FunctionsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]Lesson 3: Function or Not?
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Even More Graphs of Functions 
Lesson 7: Connecting Representations of FunctionsUnit 5Lesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: (Print available)Charge!
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 2Lesson 9: Water SlideLesson 10: Points on a PlaneUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 9: Linear ModelsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 10: Piecewise Linear FunctionsUnit 5Lesson 9: Piecing It Together
Topic 4: Cylinder and Cones 
Lesson 11: Filling Containers 
Lesson 12: How Much Will Fit? 
Lesson 13: The Volume of a CylinderUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 14: Missing Dimensions (Print available)
Lesson 15: The Volume of a ConeUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 16: Finding Cone DimensionsUnit 5Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Topic 5: Dimensions and Spheres 
Lesson 17: Scaling One DimensionUnit 5Lesson 12: Scaling Cylinders
Lesson 18: Scaling Two Dimensions 
Lesson 19: Estimating a Hemisphere 
Lesson 20: The Volume of a Sphere
Lesson 21: Cylinders, Cones, and Spheres
Unit 5Lesson 15: SpheresPractice Day 2 (Print available)
Topic 6: Let’s Put It to Work 
Lesson 22: Volume As a Function of …Unit 5Lesson 15: Spheres

Unit 6: Associations in Data

Topic 1: Does This Predict That? 
Lesson 1: Organizing DataUnit 6 Lesson 1: Click Battle
Lesson 2: Plotting DataUnit 6 Lesson 2: Wing Span
Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 4: Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 5: Describing Trends in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City(Print available)Practice Day 1 [Free lesson]
Lesson 6: The Slope of a Fitted LineUnit 6 Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 8: Analyzing Bivariate DataUnit 6Lesson 9: Tasty Fruit
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 11: Federal BudgetsPractice Day 3 (Print available)
Lesson 10: Using Data Displays to Find associationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 9: Tasty Fruit
Topic 4: Let’s Put It to Work
Lesson 11: Gone in 30 SecondsUnit 6Lesson 11: Federal Budgets

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 Lesson 1: Circles [Free lesson]Lesson 2: Combining Exponents
Topic 2: Exponent Rules 
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 Lesson 3: Power Pairs (Print available) [Free lesson]Lesson 4: Rewriting Powers  
Lesson 5: Negative Exponents with Powers of 10Unit 7 Lesson 5: Zero and Negative ExponentsLesson 6: Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: What about Other Bases? 
Lesson 7: Practice with Rational Bases
Lesson 8: Combining Bases 
Topic 3: Scientific Notation 
Lesson 9: Describing Large and Small Numbers using Powers of 10Unit 7 Lesson 7: Scales and Weights
Lesson 10: Representing Large Numbers on the Number Line
Lesson 11: Representing Small Numbers on the Number Line
Unit 7 Lesson 8: Point Zapper
Lesson 12: Applications of Arithmetic with Powers of 10Unit 7  Lesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 12: City LightsLesson 13: Star Power
Topic 4: Let’s Put It to Work
Lesson 16: Is a Smartphone Smart Enough to Go to the Moon?Lesson 13: Star Power Practice Day 2 (Print available)

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 1: The Areas of Squares and Their Side LengthsUnit 8Lesson 1: Tilted Squares
Lesson 2: Side Lengths and AreasUnit 8Lesson 2: From Squares to RootsLesson 3: Between Squares
Lesson 3: Rational and Irrational Numbers
Lesson 4: Square Roots on the Number Line
Lesson 5: Reasoning about Square RootsUnit 8Lesson 2: From Squares to RootsLesson 3: Between SquaresLesson 4: Root Down [Free lesson]Practice Day 1 (Print available)
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 7: A Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 8: Finding Unknown Side LengthsUnit 8Lesson 11: Pond Hopper
Lesson 9: The ConverseUnit 8Lesson 9: Make It Right
Lesson 10: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco Truck [Free lesson]
Lesson 11: Finding Distances in the Coordinate PlaneUnit 8Lesson 11: Pond Hopper
Topic 3: Side Lengths and Volumes of Cubes
Lesson 12: Edge Lengths and Volumes
Lesson 13: Cube Roots
Unit 8Lesson 5: Filling Cubes
Topic 4: Decimal Representation of Rational and Irrational Numbers
Lesson 14: Decimal Representation of Rational and Numbers
Lesson 15: Infinite Decimal expansions
Unit 8Lesson 12: Fractions to DecimalsLesson 13: Decimals to Fractions
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8Lesson 10: Taco Truck [Free lesson]

Unit 9: Putting It All Together

Topic 1: Tessellations
Lesson 1: Tessellations of the Plane
Lesson 2: Regular Tessellations
Lesson 3: Tessellating Polygons
Topic 2: The Weather
Lesson 4: What Influences Temperature?
Lesson 5: Plotting the Weather
Lesson 6: Using and Interpreting a Mathematical Model

S5-02. Uncovering the causes of math anxiety

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

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.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

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!

Four steps administrators can take to shift to the Science of Reading

Four steps administrators can take to shift to the Science of Reading

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CKLA – Knowledge Research Units for K–5

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Amplify Science resources for Richmond Public Schools

Welcome! This site contains supporting resources designed for the Richmond Public Schools adoption of Amplify Science.

Authored by UC Berkeley’s Lawrence Hall of Science, Amplify Science is a comprehensive program that blends literacy-rich activities, hands-on investigations, and engaging digital experiences to empower Richmond students to think, read, write, and argue like 21st-century scientists and engineers.

Click here to visit Richmond Public Schools’ Science Department page.

Welcome!

This site contains supporting resources designed for the Richmond Public Schools adoption of Amplify Science for grades 3–8. Here are some resources to get you started, but make sure to check back for exciting updates!

Program-wide resources

Click the button below to explore the Amplify Science  Program Guide. You can access the full digital Teacher’s Guide from the Program Guide to explore the program.

Onboarding videos

To start using Amplify Science quickly in your classroom, check out the following onboarding videos. They cover what you need to know to get started fast, from unpacking materials to logging in and navigating the digital Teacher’s Guide.

Getting Started: K-5

This section allows you to become familiar with the program and to guide you through initial preparation for implementing Amplify in your classrooms. here you will find look-for-tools, pacing/planning guides, and editable documents to support unpacking the unit lessons.

The following materials lists and videos give you a quick look into our Amplify Science classroom kits. For each grade level, we have a video for the first unit in the scope and sequence, and we show you how to unpack the kits for all the units.

NOTE: These materials kits are not specific to the Richmond unit progression. Please reference these Richmond unit progression docs for 3–5 and 6–8 so you’ll know which kits to look for in each grade.

Materials lists

Unpacking videos

Getting Started: 6-8

This section allows you to become familiar with the program and to guide you through initial preparation for implementing Amplify in your classrooms. here you will find look-for-tools, pacing/planning guides, and editable documents to support unpacking the unit lessons.

The following materials lists and videos give you a quick look into our Amplify Science classroom kits. For each grade level, we have a video for the first unit in the scope and sequence, and we show you how to unpack the kits for all the units.

NOTE: These materials kits are not specific to the Richmond unit progression. Please reference these Richmond unit progression docs for 3–5 and 6–8 so you’ll know which kits to look for in each grade.

Materials lists

Unpacking videos

6th grade Integrated

7th grade Integrated/Physical science

Additional units

Getting Started: Admin

Admin resources

Getting Started Checklist

Administrator Reports support

K-5 Frequently-Asked Questions

6-8 Frequently-Asked Questions

Professional learning opportunities

Check back for a list of upcoming sessions!

Frequently asked questions

We get it…pacing your instruction, especially with a new program, can be really challenging. In Amplify Science, students internalize concepts through repeated exposures over multiple days with different modalities. We say students get multiple “at-bats” with each concept. As you move through the lessons, avoid looking for concept mastery each day. Instead, try to move through the lesson according to the timing guidelines, maintaining a quick pace.

In classroom discussion activities in particular, you may be tempted to keep the conversation going to ensure that your students fully master the content in that class period. We recommend, though, if the lesson overview says discuss for 10 minutes, cut it off at 10 minutes.

Every Amplify Science unit includes hands-on investigations. But, just as scientists gather evidence from many types of sources, so do students in Amplify Science. Like scientists, students using Amplify Science also gather evidence from physical models, digital models, texts, videos, photographs, maps, and data sets. Doing so requires using the full range of the practices in multi-dimensional learning. It also offers students different ways of acquiring knowledge and experience, multiple means of expressing their understanding, and a variety of resources through which to engage with the content.

Often, students enjoy hands-on investigations, but don’t sufficiently learn key concepts from those experiences. The Amplify Science investigations are designed for efficiency and effectiveness. For teachers who wish to supplement the lessons with more hands-on activities, optional hands-on “flextension” activities are included in many units. Instructional guidance, student sheets, and other supporting resources for them are included as downloadable PDF files and materials needed are either included in the unit kit or easily sourced.

First, take a breath, and know that you will gradually internalize the program routines and overall flow. Also, remember that your students are experiencing the program for the first time with you. Together, you’ll be peeling the onion one layer at a time.

It can be intimidating to begin the school year with a brand-new curriculum: where do you start? The Richmond Resources Site will help you navigate the different supports and resources we have for new Amplify Science teachers. 

The Program Hub is also a great place to direct your own, independent learning about Amplify Science instruction. Once you log into the platform, click on the directory on the top left side. Click into the Program Hub, then Professional Learning, and Getting Started. This will give you access to prioritized resources that will help you plan for your Amplify Science instruction. Additionally, the Amplify Science Help center (also accessible from the Global Navigation menu) is great for short videos about specific topics like supporting EL students, using Classwork, etc.

The variety of multimodal activities that are included in Amplify Science provides students with the opportunity to dive deeply into understanding science ideas, make science exciting to students, and allow for all students to have the benefit of multiple opportunities to access rich science content. Think about how many times you’ve taught a concept and then discovered your students had minimal recall at the end of the week. The truth is, students need multiple, varied exposures to key concepts.

In the program, we make sure that students have the opportunity to DO, TALK, READ, WRITE, and VISUALIZE every important idea. We think of this as providing students with multiple at bats— each encounter with the idea provides students with additional evidence, and the opportunity to develop deeper understanding. Students have multiple opportunities to construct their understanding of the same idea.

This multimodality may feel repetitive, but it is purposeful and impactful. Sometimes the repetition is for 1) hitting other Science and Engineering Practices, and/or 2) giving students multiple and varied opportunities to express their understanding. Many students can easily parrot back what they read and one may think they know it — but ask them to draw a model, and one might see that their understanding is only so deep.  Ultimately we believe that this approach not only serves a broader range of students but will also result in more retention in the long run.

Looking for help?

Technical or pedagogical support

Amplify provides a unique kind of free support you won’t find from other publishers. Technical and pedagogical support teams are available from 7 a.m. to 7 p.m. ET, Monday through Friday.

For your most urgent questions:

  • Use our live chat within your program
  • Call our toll-free number: (800) 823-1969

For less urgent questions, send us an email!

  • Technical support: help@amplify.com
  • Pedagogical support: edsupport@amplify.comWhat is pedagogical support? We have developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:
    • Guidance for developing lesson plans and intervention plans
    • Information on where to locate standards and other planning materials
    • Recommendations and tips for day-to-day teaching with Amplify programs
    • Support with administering and interpreting assessment data and more

Order exceptions

If you need to arrange for the return or exchange of items, contact help@amplify.com and be sure to identify yourself as a Richmond Public Schools teacher.

Introducing new units for Amplify CKLA and Amplify Caminos K–5

As part of our commitment to creating even richer and more wide-ranging curricula, we are excited to release six new units for both Amplify CKLA and Amplify Caminos!

Click here to learn more about Amplify CKLA.

Click here to learn more about Amplify Caminos.

About these units

Our brand-new Knowledge Research units carry forward the powerful and proven instructional approach of both Amplify CKLA and Amplify Caminos while also:

  • Adding more variety to engage students from many walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

Three illustrations: one shows people at a gaming session, the middle depicts a diverse group standing together, and the third portrays a group gardening outdoors.

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: Art and the World Around Us/El arte y el mundo que nos rodea
  • Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación
  • Grade 3: All That Jazz/Jazz y más
  • Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro
  • Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente

Units are available in English and Spanish, and will include the following components:

  • Teacher Guide
  • Student Activity Books
  • Image Cards
  • Trade Book Collection
  • Digital Components (grades K–3 and 5)

Grade K: Art and the World Around Us/El arte y el mundo que nos rodea

“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. Art and the World Around Us honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the worlds around them, too.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Amplify CKLA and Amplify Caminos domains: Farms/Granjas, Plants/Plantas, and Taking Care of the Earth/Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidents and American Symbols/Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, and have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • The First Drawing by Mordicai Gerstein
  • Van Gogh and the Sunflowers by Laurence Anholt
  • My Name is Georgia by Jeanette Winter
  • A Life Made by Hand by Andrea D’Aquino
  • Rainbow Weaver by Linda Elovitz Marshall
  • Luna Loves Art by Joseph Coelho

Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra

This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside of the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered in the previous grade.

  • Nursery Rhymes and Fables/Rimas y fábulas infantiles (Kindergarten)
  • Stories/Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Adventure Stories: Tales from the Edge of the World. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name is Gabito/Me llamo Gabito by Monica Brown
  • Tomas and the Galápagos Adventure by Carolyn Lunn
  • The Astronaut with a Song for the Stars: The Story of Dr. Ellen Ochoa by Julia Finley Mosca
  • Mae Among the Stars by Roda Ahmed
  • Shark Lady: The True Story of How Eugenie Clark Became the Ocean’s Most Fearless Scientist by Jess Keating
  • Manfish by Jennifer Berne
  • Keep On! The Story of Matthew Henson, Co-Discoverer of the North Pole by Deborah Hopkinson
  • The Top of the World: Climbing Mount Everest by Steve Jenkins

Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación

With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aída de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 CKLA and Amplify Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered earlier in the year.

  • The Ancient Greek Civilization/La civilización griega antigua (Grade 2)
  • Greek Myths/Mitos griegos (Grade 2)
  • Westward Expansion/La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Up, Up, and Away: The Age of Aviation. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Up and Away!: How Two Brothers Invented the Hot-Air Balloon by Jason Henry
  • The Glorious Flight: Across the Channel with Louis Blériot by Alice and Martin Provensen
  • The Flying Girl: How Aída de Acosta Learned to Soar by Margarita Engle
  • Wood, Wire, Wings: Emma Lilian Todd Invents an Airplane by Kirsten Larson
  • Helicopter Man: Igor Sikorsky and His Amazing Invention by Edwin Brit Wyckoff
  • The Tuskegee Airmen Story by Lynn Homan and Thomas Reilly
  • Skyward: The Story of Female Pilots in WWII by Sally Deng
  • Aim for the Skies: Jerrie Mock and Joan Merriam Smith’s Race to Complete Amelia Earhart’s Quest by Aimee Bissonette

Grade 3: All That Jazz/Jazz y más

This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Birth of the Cool: How Jazz Great Miles Davis Found His Sound by Kathleen Cornell Berman
  • Little Melba and Her Big Trombone by Kathryn Russell-Brown
  • Benny Goodman and Teddy Wilson: Taking the Stage as the First Black and White Jazz Band in History by Lesa Cline-Ransome
  • Tito Puente, Mambo King by Monica Brown
  • Drum Dream Girl: How One Girl’s Courage Changed Music by Margarita Engle
  • Duke Ellington: The Piano Prince and His Orchestra by Andrea Pinkney

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro

With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades as well as earlier in the year.

  • Plants/Plantas (Grade K)
  • The History of the Earth/La historia de la Tierra (Grade 1)
  • Eureka! Student Inventor/¡Eureka! El arte de la invención (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energy: Past, Present, and Future. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Buried Sunlight: How Fossil Fuels Have Changed the Earth by Molly Bang and Penny Chisholm
  • Energy Island: How One Community Harnessed the Wind and Changed their World by Allan Drummond
  • The Boy Who Harnessed the Wind: Picture Book Edition by William Kamkwamba and Bryan Mealer

Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente

Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades.

  • Native Americans/Los nativos americanos (Grade K)
  • A New Nation: American Independence/Una nueva nación: la independencia de los Estados Unidos
    (Grade 1)
  • The U.S. Civil War/La Guerra Civil de los Estados Unidos (Grade 2)
  • Immigration/La inmigración (Grade 2)
  • Native Americans/Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Beyond Juneteenth: 1865 to present. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • All Different Now: Juneteenth, the First Day of Freedom by Angela Johnson
  • The Great Migration: An American Story by Jacob Lawrence
  • Sing a Song: How “Lift Every Voice and Sing” Inspired Generations by Kelly Starling Lyons
  • Side by Side/ Lado a lado: The Story of Dolores Huerta and Cesar Chavez/ La Historia de Dolores Huerta y Cesar Chavez by Monica Brown
  • Of Thee I Sing: A Letter to My Daughters by Barack Obama

Amplify CKLA Review for Alabama

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Illustrative Mathematics-NEW

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Grade 6

Unit 1: Area and Surface Area

Amplify MathDesmos Math 6–A1
Unit 1: Area and Surface AreaUnit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: The TangramUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Exploring the TangramUnit 1
Lesson 2: Letters
Sub-Unit 1 : Area of Special Polygons
Lesson 3: Tilting the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Compositing and Rearranging to Determine AreaUnit 1
Lesson 2: Letters
Lesson 5: Reasoning to Determine AreaUnit 1
Lesson 2: Letters
Lesson 6: ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 7: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 8: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 9: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 10: Bases and Heights of TrianglesUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 11: Formula for the Area of a TriangleUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 12: From Triangles to TrapezoidsUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 13: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons Practice Day 1 (Print available)

Unit 7
Lesson 11: Polygon Maker
Sub-Unit 2: Nets and Surface Area
Lesson 14: What is Surface Area?Unit 1
Lesson 9: Renata’s Stickers
Lesson 15: Nets and Surface Area of Rectangular PrismsUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11:Nothing but Nets(Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 16: Nets and Surface Area of PrismsUnit 1
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 17: Constructing a RhombicuboctahedronUnit 1
Lesson 13: Take It To Go (Print available)
Lesson 18: Simplifying Expressions for Squares and CubesUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 19: Simplifying Expressions Even More Using ExponentsUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 20: Designing a Suspended Tent 

Unit 2: Introducing Ratios

Amplify MathDesmos Math 6–A1
Unit 2: Introducing RatiosUnit 2: Introducing Ratios
Lesson 1: Fermi Problems 
Sub-Unit 1: What are Ratios?
Lesson 2: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3:Rice Ratios (Print available)
Lesson 4: A Recipe for Purple Oobleck 
Lesson 5: Kapa Dyes 
Sub-Unit 2:Equivalent Ratios
Lesson 6: Defining Equivalent RatiosUnit 2
Lesson 3: Rice Ratios (Print available)
Lesson 4: Fruit Lab (Print available)
Lesson 11: Community Life (Print available)
Practice Day 1 (Print available)
Lesson 7: Representing Equivalent Ratios with Tables 
Lesson 8: Reasoning with Multiplication and Division (optional) 
Lesson 9: Common Factors 
Lesson 10: Common Multiples 
Lesson 11: Navigating a Table of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 12: Tables and Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 13: Tempo and Double Number LinesUnit 2
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Sub-Unit 3: Solving Ratio Problems 
Lesson 14: Solving Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 15: Part-Part-Whole RatiosUnit 2
Lesson 12 Mixing Paint, Part 2
Lesson 13: City Planning
Lesson 16: Comparing Ratios 
Lesson 17: More Comparing and Solving 
Lesson 18: Measuring with Different-Sized Units 
Lesson 20: More Fermi Problems 

Unit 3: Rates and Percentages

Amplify MathDesmos Math 6–A1
Unit 3: Rates and PercentagesUnit 2: Introducing Ratios
Unit 3: Unit Rates and percentages
Lesson 1: Choosing Representation for Student CouncilLaunch Lesson
Sub-Unit 1: Rates
Lesson 2: How Much for One?Unit 3
Lesson 4: Model Trains
Lesson 3: Constant Speed  
Lesson 4: Comparing SpeedsUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 5: Interpreting RatesUnit 3
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 6: Comparing Rates 
Lesson 7: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Sub-Unit 2: Percentages
Lesson 8: What Are percentages?Unit 3
Lesson 8: Lucky Duckies
Lesson 9: Bicycle Goals
Lesson 9: Determining Percentages 
Lesson 10: Benchmark PercentagesUnit 3
Lesson 7: Lucky Duckies
Lesson 11: Finding This Percent of ThatUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 12: This Percent of What 
Lesson 13: Solving Percentage ProblemsUnit 3
Lesson: 10: What’s Missing (Print available)
Lesson: 11: Cost Breakdown
Lesson: 12: More Bicycle Goals
Lesson: 13: A Country as a Village
Lesson 14: If Our Class Were the World 
Lesson 15: Voting for a School Mascot 

Unit 4: Dividing Fractions

Amplify MathDesmos Math 6–A1
Lesson 1: Seeing Fractions
Sub-Unit 1: Interpreting Division Scenarios
Lesson 3: Relating Multiplication and Division 
Lesson 4: Size of Divisor and Size of QuotientUnit 4
Lesson 1: Cookie Cutter
Sub-Unit 2: Division with Fractions
Lesson 5: How Many GroupsUnit 4
Lesson 3: Flour Planner
Lesson 4: Flower Planters
Lesson 4: Garden Bricks (Print available) 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap
Lesson 7: Dividing with Common DenominatorsUnit 4
Lesson 6: Fill the Gap
Lesson 8: How Much in Each Group? (Part 1)Unit 4
Lesson 8: Potting Soil
Lesson 9: How Much in Each Group? (Part 2)Unit 4
Lesson 8: Potting Soil
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 11: Using an Algorithm to Divide FractionsUnit 4
Lesson 9: Division Challenges Practice Day
Lesson 13: Fractional LengthsUnit 4
Lesson 12: Puzzling 
Lesson 14: Area with Fractional LengthsUnit 4
Lesson 9: Puzzling Area (Print available)
Lesson 15: Volume of PrismsUnit 4
Lesson 13: Volume Challenges (Print available)
Lesson 16: Fish Tanks Inside of Fish TanksUnit 4
Lesson 10: Swap Meet
Lesson 17: Now, Where Was That Bus?Unit 4
Lesson 10: Capstone

Unit 5: Arithmetic in Base Ten

Amplify MathDesmos Math 6–A1
Lesson 1: Precision and World Records 
Sub-Unit 1: Adding and Subtracting Decimals 
Lesson 2: Speaking of Decimals…Unit 5
Lesson 1: Dishing Out Decimals (Print available)
Lesson 3: Adding and Subtracting DecimalsUnit 5
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 4: X Games Medal ResultsUnit 5
Lesson 2: Decimal Diagrams
Sub-Unit 2: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5
Lesson 6: Multiplying with Areas
Sub-Unit 3: Dividing Decimals
Lesson 9: Exploring Division 
Lesson 10: Using Long DivisionUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 12: Using Related Expressions to Divide with Decimals 
Lesson 13: Dividing Multi-Digit DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 14: The So-called World’s Littlest Skyscraper

Unit 6: Expressions and Equations

Amplify MathDesmos Math 6–A1
Unit 6: Expressions and EquationsUnit 6: Expressions and Equations
Lesson 1: Detecting Counterfeit Coins
Sub-Unit 1: Expressions and Equations in One Variable
Lesson 2: Write Expressions Where Letters Stand for Numbers 
Lesson 3: Tape Diagrams and Equations 
Lesson 4: Truth and EquationsUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 5: Staying in BalanceUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Staying in Balance with Variables 
Lesson 7: Practice Solving EquationsUnit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 8: A New Way to Interpret a over bUnit 6
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 9: Revisiting Percentages
Sub-Unit 2: Equivalent Expressions
Lesson 10: Equal and Equivalent (Part 1)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 11: Equal and Equivalent (Part 2)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 12: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 13: The Distributive Property, Part 2Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 14: Meaning of ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 15: Evaluating Expressions with ExponentsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 16: Analyzing Exponential Expressions and EquationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Sub-Unit 3: Relationships Between Quantities
Lesson 17: Two Related Quantities, Part 1Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 18: Two Related Quantitites, Part 2Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 19: Creating a Class Mobile 

Unit 7: Rational Numbers

Amplify MathDesmos Math 6–A1
Unit 7: Rational Numbers
Unit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: How Far? Which Way?
Sub-unit 1: Negative Numbers and Absolute Value
Lesson 2: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig In
Lesson 2: Digging Deeper
Lesson 3: Points on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 4: Comparing IntegersUnit 7
Lesson 3: Order in the Class (Print available)
Lesson 5: Comparing and Ordering Rational NumbersUnit 7 
Lesson 3: Order in the Class (Print available)
Lesson 6: Using Negative Numbers to Make Sense of Contexts>Unit 7
Lesson 4: Sub-Zero
Lesson 7: Absolute Value of NumbersUnit 7
Lesson 5: Distance on the Number Line
Lesson 8: Comparing Numbers and Distance from ZeroUnit 7
Lesson 5: Distance on the Number Line
Sub-Unit 2: Inequalities
Lesson 9: Writing Inequalities 
Lesson 10: Graphing Inequalities 
Lesson 11: Solutions to One or More InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Lesson 12: Interpreting InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Sub-Unit 3: The Coordinate Plane
Lesson 13: Extending the Coordinate Plane 
Lesson 14: Points on the Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 15: Interpreting Points on a Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Lesson 16: Distances on a Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 17: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Letters
Lesson 5: Exploring Triangles (Print available)
Lesson 6: Triangles and Parallelograms

Unit 7
Lesson 3: Exploring Parallelograms (Print available)
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 18: Lost and Found Puzzles 
Lesson 19: Drawing on the Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Amplify MathDesmos Math 6–A1
Unit 8: Data Sets and DistributionsUnit 8: Describing Data
Lesson 1: Plausible Variation or New Species?
Sub-Unit 1: Statistical Questions and Representing Data
Lesson 2: Statistical QuestionsUnit 8
Lesson 1: Screen Time
Lesson 2: Dot Plots
Lesson 3: Interpreting Dot PlotsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 4: USing Dot Plots to Answer Statistical QuestionsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 5: Interpreting HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 6: Using Histograms to Answer Statistical QuestionsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 7: Describing Distributions on HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Sub-Unit 2: Measures of Center
Lesson 8: Mean as a Fair ShareUnit 8
Lesson 7: Snack Time
Lesson 9: Mean as a Balance PointUnit 8
Lesson 7: Snack Time
Lesson 10: MedianUnit 8
Lesson 11: Toy Cars
Lesson 12: In the News
Lesson 11: Comparing Mean and MedianUnit 8
Lesson 12: In the News
Sub-Unit 3: Measures of Variability
Lesson 12: Describing Variability 
Lesson 13: Variability and MAD 
Lesson 14: Variability and IQRUnit 8
Lesson 13: Pumpkin Patch
Lesson 15: Box PlotsUnit 8
Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Comparing MAD and IQR 
Lesson 17: Asian Elephant Populations 

Grade 7

Unit 1: Scale Drawings

Amplify MathDesmos Math 6–A1
Unit 1: Scale DrawingsUnit 1: Scale Drawings
Unit 3: Measuring Circles
Unit 4: Proportional Relationships and Percentages
Lesson 1: Scale-y Shapes 
Sub-Unit 1: Scaled Copies 
Lesson 2: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Lesson 3: Corresponding Parts and Scale FactorsUnit 1
Lesson 2: Scaling Robots 
Unit 3
Lesson 1: Toothpicks
Lesson 4: Making Scaled CopiesUnit 1
Lesson 3: Make It Scale 
Unit 4
Lesson 3: Sticker Sizes
Lesson 5: The Size of the Scale FactorUnit 1
Lesson 4: Tiles
Lesson 6: Scaling and AreaUnit 1
Lesson 5: Tiles Practice Day 1 (Print available)
Sub-Unit 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available)
Lesson 8: Creating Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 9: Scale Drawings and Maps 
Lesson 10: Changing Scale in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)Practice Day (Print available)
Lesson 13: Build Your Brand 

Unit 2: Introducing Proportional Relationships

Amplify MathDesmos Math 6–A1
Unit 2: Introducing Proportional RelationshipsUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Lesson 1: Making Music 
Sub-Unit 1: Representing Proportional Relationships with Tables and Equations
Lesson 2: Introducing Proportional Relationships with TablesUnit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)

Unit 4
Lesson 3: Sticker Sizes
Lesson 4: Comparing Relationships with TablesUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 5: Proportional Relationships and EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 6: Speed and Equations 
Lesson 7: Two Equations for Each RelationshipUnit 2
Lesson 4: Two and Two (Print available)
Lesson 5: Lesson 7: All Kinds of Equations
Lesson 8: Using Equations to Solve ProblemsUnit 2
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 9: Comparing Relationships with EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Lesson 10: Solving Problems About Proportional RelationshipsUnit 2
Lesson 12: Water Efficiency
Sub-Unit 2: Representing Proportional Relationships with Graphs 
Lesson 11: Introducing Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 12: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 13: Using Graphs to Compare RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 14: Two Graphs for Each RelationshipUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 15: Four Ways to Tell One Story (Part 1) 
Lesson 16: Four Ways to Tell One Story (Part 2) 
Lesson 17: Welcoming Committee 

Unit 3: Measuring Circles

Amplify MathDesmos Math 6–A1
Unit 3: Measuring CirclesUnit 3: Measuring Circles
Lesson 1: The Wandering Goat 
Sub-unit 1: Circumference of a Circle 
Lesson 2: Exploring CirclesUnit 3
Lesson 2: Is it a Circle?
Lesson 3: Measuring Around
Lesson 3: How Well Can You Measure? 
Lesson 4: Exploring CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 5: Understanding π 
Lesson 6: Applying CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 7: Circumference and Wheels 
Sub-Unit 2: Area of a Circle
Lesson 8: Exploring the Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 9: Relating Area to CircumferenceUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 10: Applying Area to CirclesUnit 3
Lesson 6:Radius Squares (Print available)
Lesson 11: Distinguishing Circumference and AreaUnit 3
Lesson 7: Why Pi?
Lesson 12: Capturing Space 

Unit 4: Proportional Relationships and Percentages

Amplify MathDesmos Math 6–A1
Unit 4: PercentagesUnit 4: Proportional Relationships and Percentages
Lesson 1: (Re)Presenting the United States 
Lesson 2: Understanding Percentages and Decimals 
Lesson 3: Percent Increase and DecreaseUnit 4Lesson 4: More or Less
Lesson 4: Determining 100%Unit 4Lesson 6: 100% (Print available)
Lesson 5: Determining Percent ChangeUnit 4Lesson 7: Percent Machines
Lesson 6: Percent Increase and Decrease With EquationsUnit 4Lesson 5: All the Equations
Lesson 7: Using Equations to Solve Percent ProblemsUnit 4Lesson 5: All the Equations
Sub-Unit 2: Applying Percentages 
Lesson 8: Tax and TipUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 9: Percent ContextsUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 10: Determining the PercentageUnit 4
Lesson 4: More and Less
Lesson 11: Measurement ErrorUnit 4
Lesson 11: Bookcase Builder
Lesson 12: Error IntervalsUnit 4
Lesson 11: Bookcase Builder
Lesson 13: Writing Better Headlines 

Unit 5: Rational Number Arithmetic

Amplify MathDesmos Math 6–A1
Unit 5: Rational Number ArithmeticUnit 5: Rational Number Artithmetics
Lesson 1: Target: Zero 
Sub-Unit 1: Adding and Subtracting Rational Numbers 
Lesson 2: Interpreting Negative Numbers
Lesson 3: Changing TemperaturesUnit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 4: Adding Rational Numbers 
Lesson 5: Money and Debts 
Lesson 6: Representing SubtractionUnit 5
Lesson 5: Number Puzzles
Lesson 7: Subtracting Rational Numbers (Part 1)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 8: Subtracting Rational Numbers (Part 2)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 9: Adding and Subtracting Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Sub-Unit 2: Multiplying and Dividing Rational Numbers 
Lesson 10: Position, Speed, and TimeUnit 5
Lesson 7: Back in Time
Lesson 11: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 12: Multiply!Unit 5
Lesson 7: Back in Time
Lesson 13: Dividing Rational NumbersUnit 5
Lesson 7: Speeding Turtles
Lesson 14: Negative Rates 
Sub-Unit 3: Four Operations with Rational Numbers 
Lesson 15: Expressions with Rational NumbersUnit 5
Lesson 9: Expressions (Print available)
Lesson 16: Say It With Decimals 
Lesson 17: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Lesson 18: Solving Equations With Rational Numbers 
Lesson 19: Representing Contexts With Equations 
Lesson 20: Summiting Everest 

Unit 6: Expressions, Equations, and Inequalities

Amplify MathDesmos Math 6–A1
Unit 6: Expressions, Equations, and InequalitiesUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Unit 6: Expressions, Equations, and Inequalities
Lesson 1: Keeping the Balance 
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 3: Reasoning About Solving Equations (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 4: Reasoning About Solving Equations (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 8: Factoring and Expanding (Print available)
Lesson 16: Shira the Sheep
Lesson 6: Two Ways to Solve One EquationUnit 6
Lesson 4: Seeing Struction (Print available)
Lesson 7: Practice Solving EquationsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Sub-Unit 2: Solving Real-World Problems Using Two-Step Equations 
Lesson 8: Reasoning With Tape DiagramsUnit 6
Lesson 2: Smudged Receipts
Lesson 9: Reasoning About Equations and Tape Diagrams (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 10: Reasoning About Equations and Tape Diagrams (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 11: Using Equations to Solve ProblemsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available) 
Lesson 12: Solving Percent Problems in New WaysUnit 6
Lesson 4: Seeing Structure (Print available)

Unit 4
Lesson 7: Percent MachinesPractice Day 1 (Print available)
Practice Day 2 (Print available)
Sub-Unit 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 14: Solving InequalitiesUnit 6
Lesson 5: Balancing Moves
Lesson 6: Balancing Equations
Lesson 13: I Saw the Signs
Lesson 15: Finding Solutions to Inequalities in ContextUnit 6
Lesson 13: I Saw the Signs
Practice Day 1 (Print available)
Lesson 16: Efficiently Solving InequalitiesUnit 6
Lesson 10: Collect the Squares
Lesson 17: Interpreting InequalitiesUnit 6
Lesson 13: I Saw the Signs
Lesson 14: Unbalanced Hangers
Lesson 15: Budgeting (Print available)
Lesson 18: Modeling With Inequalities 
Sub-Unit 4: Equivalent Expressions 
Lesson 19: Subtraction in Equivalent Expressions 

Unit 7: Angles, Triangles, and Prisms

Amplify MathDesmos Math 6–A1
Unit 7: Angles, Triangles, and PrismsUnit 7: Angles, Triangles, and Prisms
Lesson 1: Shaping Up 
Sub-Unit 1: Angle Relationships 
Lesson 2: Relationships of AnglesUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 3: Supplementary and Complementary Angles (Part 1) 
Lesson 4: Supplementary and Complementary Angles (Part 2) 
Lesson 5: Vertical AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 6: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 7: Like Clockwork 
Sub-Unit 2: Drawing Polygons with Given Conditions 
Lesson 8: Building Polygons (Part 1)Unit 7
Lesson 6: Is It Enough?
Lesson 9: Building Polygons (Part 2)Unit 7
Lesson 6: Is It Enough?
Lesson 10: Triangles with Three Common MeasuresUnit 7
Lesson 13: Popcorn Possibilities
Lesson 11: Drawing Triangles (Part 1)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Lesson 12: Drawing Triangles (Part 2)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Sub-Unit 3: Solid Geometry
Lesson 13: Slicing SolidsUnit 7
Lesson 9: Slicing Solids
Lesson 14: Volume of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 15: Decomposing Bases for AreasUnit 7
Lesson 11: More Complicated Prisms
Lesson 16: Surface Area of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 17: Distinguishing Volume and Surface Area
Lesson 18: Applying Volume and Surface AreaUnit 7
Lesson 13: Popcorn Possibilities

Unit 8: Probability and Sampling

Amplify MathDesmos Math 6–A1
Unit 8: Probability and SamplingUnit 8: Probability and Sampling
Lesson 1: The Invention of Fairness 
Lesson 2: Chance Experiments 
Lesson 3: What are Probabilities?Unit 8
Lesson 1: How Likely? (Print available)
Lesson 2: Prob-bear-bilities [Free lesson
Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 5: Code Breaking (Part 1)
Lesson 6: Code Breaking (Part 2)
Sub-Unit 2: Probabilities of Multi-Step Events
Lesson 7: Keeping Track of All Possible OutcomesUnit 8
Lesson 4: Spin Class
Lesson 5: Is it Fair?
Lesson 6: Fair Games
Lesson 8: Experiments With Multi-Step Events  
Lesson 9: Simulating Multi-Step Events 
Lesson 10: Designing Simulations 
Sub-Unit 3:Sampling
Lesson 11: Comparing Two PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Larger PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 13: What Makes a Good Sample?Unit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 14: Sampling in a Fair WayUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 15: Estimating Population Measures of CenterUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 16: Estimating Population ProportionsUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 17: Presentation of Findings 

Grade 8

Unit 1: Rigid Transformations and Congruence

Amplify MathDesmos Math 6–A1
Unit 1: Rigid Transformations and CongruenceUnit 1: Rigid Transformations and Congruence
Unit 3: Proportional and Linear Relationships
Lesson 1: Tessellations 
Sub-Unit 1: Rigid Transformations 
Lesson 2: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 3: Symmetry and Reflection 
Lesson 4: Grid MovesUnit 1
Lesson 3: Transformation Golf
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated

Unit 3
Lesson 6: Translations
Lesson 5: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Coordinate Moves (Part 1)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 7: Coordinate Moves (Part 2)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1
Lesson 5: Getting Coordinated
Lesson 6: Connecting the Dots
Sub-Unit 2: Rigid Transformations and Congruence 
Lesson 9: No Bending or StretchingUnit 1
Lesson 7: No Bending, No Stretching
Lesson 10: What is the Same?Unit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Lesson 11: Congruent PolygonsUnit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Sub-Unit 4: Angles in a Triangle 
Lesson 13: Line Moves 
Lesson 14: Rotation Patterns 
Lesson 15: Alternate Interior AnglesUnit 1 
Lesson 11: Tearing It Up (Print available)
Lesson 16: Adding the Angles in a TriangleUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 17: Parallel Lines and the Angles in a TriangleUnit 1 
Lesson 10: Transforming Angles
Lesson 18: Creating a Border Pattern Using Transformations 

Unit 2: Dilations, Similarity, and Introducing Slope

Amplify MathDesmos Math 6–A1
Unit 2: Dilations and SimilarityUnit 2: Dilations and Similarity
Lesson 1: Projecting and Scaling 
Sub-Unit 1: Dilations
Lesson 2: Circular GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 3: Dilations on a Plane 
Lesson 4: Dilations on a Square GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 5: Dilations with CoordinatesUnit 2
Lesson 4: Dilations on a Plane
Sub-Unit 2: Similiarity
Lesson 6: SimilarityUnit 2
Lesson 5: Transformations Golf with Dilations
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 7: Similar PolygonsUnit 2
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 8: Similar TrianglesUnit 2
Lesson 7: Are Angles Enough?
Lesson 8: Shadows
Lesson 9: Ratios of Side Lengths in Similar Triangles
Lesson 12: Optical Illusions 

Unit 3: Linear Relationships

Amplify MathDesmos Math 6–A1
Unit 3: Proportional and Linear RelationshipsUnit 3: Proportional and Linear Relationships
Unit 4: Linear Equations and Linear Systems
Unit 5: Functions and Volume
Lesson 1: Visual Patterns 
Sub-Unit 1: Proportional Relationships 
Lesson 2: Proportional Relationships 
Lesson 3: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Water Tank 

Unit 5
Lesson 4: Window Frames
Lesson 5: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Unit 5
Lesson 4: Window Frames
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 6: Comparing Proportional RelationshipsUnit 3
Lesson 3: Posters
Sub-Unit 2: Linear Relationships
Lesson 7: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Stacking Cups

Unit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Relationships 
Lesson 9: More Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 10: Representations of Linear RelationshipsUnit 3
Lesson 5: Flags
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 11: Writing Equations for Lines Using Two Points 
Lesson 12: Translating mx + bUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 13: Slopes Don’t Have to be PositiveUnit 3
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 14: Writing Equations for Lines Using Two Points, Revisited 
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 3: Posters
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Sub-Unit 3: Linear Equations 
Lesson 16: Solutions to Linear EquationsUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 10: Solutions

 Unit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 17: More Solutions to Linear EquationsUnit 3 
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 10: Solutions
Lesson 18: Coordinating Linear Relationships 
Lesson 19: Rogue Planes 

Unit 4: Linear Equations and Linear Systems

Amplify MathDesmos Math 6–A1
Unit 4: Linear Equations and Systems of Linear EquationsUnit 4: Linear Equations and Systems of Linear Equations
Lesson 1: Number PuzzlesUnit 4
Lesson 1: Number machines
Sub-Unit 1: Linear Equations in One Variable 
Lesson 2: Writing Expressions and Equations
Lesson 3: Keeping the BalanceUnit 4
Lesson 2: Keep It Balanced
Lesson 4: Balanced Moves (Part 1)Unit 4
Lesson 3: Balanced Moves
Lesson 5: Balanced Moves (Part 2)Unit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 6: Solving Any Linear EquationsUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available)
Lesson 6: Strategic Solving (Print available)
Lesson 7: How Many Solutions? (Part 1)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 8: How Many Solutions? (Part 2)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 9: Strategic Solving 
Lesson 10: When Are They the SameUnit 4
Lesson 8: When Are They the Same?
Sub-Unit 2: Systems of Linear Equations
Lesson 11: On or Off the Line?Unit 4
Lesson 9: On or Off the Line?
Lesson 12: On Both of the LinesUnit 4
Lesson 10: On Both Lines
Lesson 13: Systems of Linear EquationsUnit 4
Lesson 11: Make Them Balance
Lesson 14: Solving Systems of Equations (Part 1)Unit 4
Lesson 14: All, Some, or None? Part 2
Lesson 15: Solving Systems of Equations (Part 2)Unit 4
Lesson 12: All, Some, or None? Part 2
Lesson 16: Writing Systems of Linear EquationsUnit 4
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 17: Pay Gaps 

Unit 5: Functions and Volume

Amplify MathDesmos Math 6–A1
Unit 5: Functions and VolumeUnit 2: Dilations, Similarity, and Introducing Slope
Unit 3:
Proportional and Linear Relationships
Unit 5:
Functions and Volume
Lesson 1: Pick a Pitch 
Sub-Unit 1: Representing and Interpreting Functions 
Lesson 2: Introduction to FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 3: Equations of FunctionsUnit 3
Lesson 4: Window Frames
Lesson 4: Graphs of Functions (Part 1)Unit 5
Lesson 3: Function or Not?
Lesson 5: Graphs of Functions (Part 2)Unit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Functions (Part 3)Unit 5
Lesson 6: Graphing Stories
Lesson 7: Connecting Representations of FunctionsUnit 5
Lesson 7: Feel the Burn (Print available)Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Functions 
Lesson 9: Modeling with Linear Functions 
Lesson 10: Piecewise Linear FunctionsUnit 5
Lesson 9: Piecing It Together
Sub-Unit 2: Cylinder, Cones, and Spheres 
Lesson 11: Filling Containers 
Lesson 12: The Volume of a CylinderUnit 5
Lesson 10: Volume LabLesson 11: Cylinders
Lesson 12: Scaling Cylinders
Lesson 13: Determining Dimensions of CylindersUnit 5
Lesson 14: Missing Dimensions (Print available)
Lesson 14: The Volume of a ConeUnit 5
Lesson 10: Volume LabLesson 13: Cones
Lesson 15: Determining Dimensions of ConesUnit 5
Lesson 12: Scaling Cylinders
Lesson 13: Cones
Lesson 14: Missing Dimensions (Print available)
Lesson 16: Estimating a Hemisphere 
Lesson 17: The Volume of a SphereUnit 5
Lesson 15: Spheres
Lesson 18: Cylinders, Cones and SpheresUnit 5
Lesson 15: Practice Day 2 (Print available)
Lesson 19: Scaling One Dimension 
Lesson 20: Scaling Two Dimensions 
Lesson 21: Packing Spheres 

Unit 6: Exponents and Scientific Notation

Amplify MathDesmos Math 6–A1
Unit 6: Exponents and Scientific NotationUnit 7: Exponents and Scienctific Notation
Lesson 1: Create a Sierpinski Triangle 
Sub-Unit 1: Exponent Rules 
Lesson 2: Reviewing ExponentsUnit 7
 Lesson 1: Circles
Lesson 2: Combining Exponents
Lesson 3: Multiplying PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 4: Dividing PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 5: Negative ExponentsUnit 7 
Lesson 5: Zero and Negative Exponents
Lesson 6: Powers of PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 7: Different Bases, Same Exponent 
Lesson 8: Practice with Rational BasesUnit 7
Practice Day 1 (Print available)
Sub-Unit 2: Scientific Notation 
Lesson 9: Representing Large Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 10: Representing Small Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 11: Applications of Arthithmetic with Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 12: Definition of Scientific NotationUnit 7
Lesson 10: Solar System
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 13: Multiplying, Dividing, and Estimating with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 14: Adding and Subtracting with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 12: City Lights
Lesson 13: Star Power
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon? 

Unit 7: Irrationals and the Pythagorean Theorem

Practice Day 2 (Print available)

Amplify MathDesmos Math 6–A1
Unit 7: Irrationals and the Pythagorean TheoremUnit 8: The Pythagorean Theorem and Irrational Numbers
Lesson 1: Sliced Bread
Sub-Unit 1: Rational and Irrational Numbers
Lesson 2: The Square RootUnit 8
Lesson 2: From Squares to Roots
Lesson 3: The Ares of Squares and Their Side LengthsUnit 8
Lesson 1: Tilted Squares
Lesson 3: Between Squares
Lesson 4: Estimating Square RootsUnit 8
Lesson 3: Between Squares
Lesson 4: Root Down
Lesson 5: The Cube RootUnit 8
Lesson 5: Filling Cubes
Lesson 6: Rational and Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 7: Decimal Representations of Rational NumbersUnit 8
Lesson 12: Fractions to Decimals
Lesson 8: Converting Repeating Decimals Into FractionsUnit 8
Lesson 13: Decimals to Fractions
Sub-Unit 2: The Pythagorean Theorem
Lesson 9: Observing the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 10: Proving the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 11: Determining Unknown Side LengthsUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 12: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make it Right
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 14: Distances on the Coordinate Plane (Part 2)Unit 8
Lesson 11: Pond Hopper
Lesson 15: Applications of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Lesson 16: Pythagorean Triples

Unit 8: Pythagorean Theorem and Irrational Numbers

Amplify MathDesmos Math 6–A1
Unit 8: Associations in DataUnit 6: Associations in Data
Lesson 1: Creating a Scatter PlotUnit 6
Lesson 1: Click Battle
Sub-Unit 1: Associations in Data
Lesson 2: Interpreting Points on a Scatter PlotUnit 6
Lesson 3: Robots
Lesson 3: Observing Patterns in a Scatter PlotUnit 6
Lesson 7: Scatter Plot City
Lesson 4: Fitting a Line to DataUnit 6
Lesson 4: Dapper Cats
Lesson 5: Fit Fights
Lesson 5: Using a Linear ModelUnit 6
Lesson 6: Interpreting Slopes
Lesson 6: Interpreting Slope and y-interceptUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Analyzing Bivariate DataUnit 6
Lesson 8: Animal Brains
Lesson 8: Looking for AssociationsUnit 6
Lesson 9: Tasty Fruit
Lesson 9: Using Data Displays to Find AssociationsUnit 6
Lesson 10: Finding Associations
Lesson 11: Federal Budgets

Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsAmplify Classroom
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 10: Renata’s Stickers

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2
Lesson 4: Fruit Lab
Lesson 5: Defining Equivalent RatiosUnit 2
Lesson 1: Pizza Maker
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2
Lesson 10: Disaster Preparation

Unit 3: Rates and Percentages

Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 3
Lesson 6: Soft Serve
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 6: Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 9: Lucky Duckies
Lesson 13: Benchmark percentagesUnit 3
Lesson 9: Lucky Duckies
Topic 5: Let’s Put It to Work 
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 6: Soft Serve

Unit 4: Dividing Fractions

Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4
Lesson 3: Flour Planner 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 6: Fill the Gap

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5
Lesson 1: Dishing Out Decimals
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5
Lesson 13: Movie Time

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6
Lesson 1: Weight for It
Lesson 3: Staying in BalanceUnit 6
Lesson 1: Weight for It
Topic 2: Equal and Equivalent
Lesson 8: Equal and EquivalentUnit 6
Lesson 1: Weight for It
Topic 9: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 7: Rational Numbers

Lesson 1: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7
Lesson 4: Order in the Class
Topic 2: Inequalities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7
Lesson 7: Tunnel Travels
Topic 3: The Coordinate Plane
Lesson 15: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane

Unit 8: Data Sets and Distributions

Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8
Lesson 3: Minimum Wage
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8
Lesson 5: The Plot Thickens
Topic 4: Median and IQR
Lesson 13: MedianUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsAmplify Classroom
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 7: Will It Fit?

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2
Lesson 1: Paint 
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2
Lesson 6: Two and Two
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2
Lesson 6: Two and Two
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 8: Comparing Relationships with EquationsUnit 2
Lesson 6: Two and Two
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2
Lesson 8: Dino Pops

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3
Lesson 8: Toothpicks (coming soon!)
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3
Lesson 3: Measuring Around
Take Away (coming soon!)
Topic 2: Area of a Circle
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3
Lesson 9: Area Challenges
Take Away (coming soon!)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4
Lesson 1: Mosaics
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4
Lesson 12: Posing Percent Problems (coming soon!)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4
Lesson 12: Posing Percent Problems (coming soon!)

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5
Lesson 4: Draw Your Own
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r 
Lesson 1: Relationships Between QuantitiesUnit 2
Lesson 1: Paint
Unit 4
Lesson 1: Mosaics
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6
Lesson 10: Collect the Squares
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6
Lesson 10: Collect the Squares

Unit 7: Angles, Triangles, and Prisms

Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7
Lesson 2: Friendly Angles
Lesson 4: Solving for Unknown AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 4: Missing Measures
Topic 2: Drawing Polygons with Given Conditions 
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7
Lesson 5: Can You Build It?

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8
Lesson 10: Crab Island
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 
Lesson 10: Crab Island
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8
Lesson 10: Crab Island

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsAmplify Classroom
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 2: Naming the MovesUnit 1
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Grid MovesUnit 1
Lesson 4: Moving Day
Lesson 4: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 5: Coordinate MovesUnit 1
Lesson 4: Moving Day
Lesson 6: Describing TransformationsUnit 1
Lesson 6: Connecting the Dots (coming soon!)
Topic 2: Properties of Rigid Transformations 
Lesson 8: Rotation PatternsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2
Lesson 6: Social Scavenger Hunt
Topic 3: Slope
Lesson 10: Meet SlopeUnit 3
Lesson 4: Flags

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 3: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 7: Representations of Linear RelationshipsUnit 3
Lesson 4: Flags
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3
Lesson 4: Flags
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 4: Flags
Topic 4: Linear Equations 
Lesson 13: More Solutions to Linear EquationsUnit 3 
Lesson 4: Flags

Unit 4: Linear Equations and Linear Systems

Topic 2: Linear Equation in One Variable 
Lesson 5: Solving Any Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Strategic SolvingUnit 4
Lesson 5: Equation Roundtable
Topic 3: Systems of Linear Equations
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Introduction to FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5
Lesson 5: The Tortoise and the Hare
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 3
Lesson 4: Flags
Lesson 9: Linear ModelsUnit 5
Lesson 5: The Tortoise and the Hare
Topic 4: Cylinder and Cones 
Lesson 13: The Volume of a CylinderUnit 5
Lesson 11: Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5
Lesson 11: Cylinders
Lesson 15: The Volume of a ConeUnit 5
Lesson 13: Cones
Lesson 16: Finding Cone DimensionsUnit 5
Lesson 13: Cones

Unit 6: Associations in Data

Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 
Lesson 3: Robots
Lesson 4: Fitting a LineUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Describing Trends in Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 
Lesson 3: Robots
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6
Lesson 11: Finding Associations
Lesson 10: Using Data Displays to Find associationsUnit 6
Lesson 11: Finding Associations

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 
Lesson 1: Circles
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 
Lesson 3: Power Pairs
Topic 3: Scientific Notation 
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 5: Reasoning about Square RootsUnit 8
Lesson 4: Root Down
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8
Lesson 10: Taco Truck

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.

Amplify and SFUSD Partnership

We recognize and respect the unique differences of each of our partnering districts—and that includes San Francisco USD.

Out of the box, Amplify Caminos offers districts a rich, comprehensive, research-based SELA experience. That said, no two districts are exactly alike. To that end, we are committed to working with San Francisco USD to ensure that Amplify Caminos addresses the needs of your community. This includes providing implementation guidance and support, as well as collaborating with your staff to determine which domains need to be modified or exchanged.

What is Amplify Caminos?

Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

  • Authentic instruction built from the ground up for the Spanish language.
  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.



Watch the video below to learn more about Amplify Caminos for Grades K–2.



Watch the video below to learn more about Amplify Caminos for Grades 3–5.

How does Amplify Caminos work?

Amplify Caminos is built on the science of how kids learn to read—in Spanish.

Amplify Caminos is all about helping you teach students how to read, all while giving them authentic and engaging reasons to read. That’s why Amplify Caminos develops foundational skills and builds knowledge in tandem.

  • Knowledge: Through complex and authentic Spanish read-alouds with an emphasis on classroom interactivity, oral comprehension, and contextual vocabulary, students start to build their awareness of the world around them—and the way the reading skills they’re building give them access to it.
  • Skills: Starting with the sounds at the core of the Spanish
    language, students practice their phonemic awareness, handwriting skills, vocabulary, spelling, and grammar. Through daily practice, students become aware of the connection between reading and writing, building confidence as they go.
Illustration depicting the flow of genetic information, represented by ribbons transitioning from dna to rna, connected to various educational images and diagrams.

Respecting the development differences between grade ranges, Amplify Caminos teaches foundational skills and background knowledge as two distinct strands in grades K–2, and combines them into one integrated strand in grades 3–5.

Grades K–2:
Every day, students in grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds robust background knowledge to access complex text in the Amplify Caminos Conocimiento strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5:
In grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

What do Amplify Caminos students explore?

Amplify Caminos builds students’ knowledge about the world.

In addition to teaching all students to crack the written code (which is vital for equity), the Amplify Caminos program helps students see the strengths and experiences we all share while celebrating their own unique identities and experiences.

This is accomplished through the exploration of topics and text that feature people who resemble students and familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.
 

Engaging domains

Amplify Caminos builds knowledge coherently across subjects and grades.

Throughout the program, students use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups.

Carefully selected to build from year-to-year, our grade-appropriate topics help students make and deepen connections while also reading, writing, and thinking creatively and for themselves.

Curriculum flowchart for Kindergarten to Grade 5, showing subject progression in language, science, and social studies, with highlighted and connected units.

New Knowledge Research Units for Grades K–5

Our brand-new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

  • Adding more diversity. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: El arte y el mundo que nos rodea
  • Grade 1: Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: ¡A volar! La era de la aviación
  • Grade 3: Jazz y más
  • Grade 4: Energía: pasado, presente y futuro
  • Grade 5: Más allá de Juneteenth: de 1865 al presente

Units will be made available in English and Spanish, and will include the following components:

Why we added this unit:
“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. El arte y el mundo que nos rodea honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the world around them.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Caminos domains: GranjasPlantas, and Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, even as they have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Georgia O’Keeffe por Erica Salcedo
  • Yayoi Kusama: De aquí al infinito por Sarah Suzuki
  • Tejedora del arcoíris por Linda Elovitz Marshall
  • Las tijeras de Matisse por Jeanette Winter
  • El museo por Susan Verde
  • Quizás algo hermoso: Cómo el arte transformó un barrio por F. Isabel Campoy

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in the previous grade.

  • Rimas y fábulas infantiles (Kindergarten)
  • Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Cuentos de aventuras: relatos desde los confines de la Tierra. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name Is Gabito/Me llamo Gabito por Monica Brown
  • Galápagos Girl/Galapagueña por Marsha Diane Arnold
  • My Name Is Gabriela/Me llamo Gabriela por Monica Brown
  • El viaje de Kalak por María Quintana Silva y Marie-Noëlle Hébert
  • Señorita Mariposa por Ben Gundersheimer
  • Sharuko, el arqueólogo peruano/Peruvian Archaeologist Julio C. Tello por Monica Brown
  • Abuelita fue al mercado por Stella Blackstone

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aida de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered earlier in the year.

  • La civilización griega antigua (Grade 2)
  • Mitos griegos (Grade 2)
  • La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in ¡A volar! La era de la aviación. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡A volar! Todo sobre aviones por Jennifer Prior
  • Amelia sabe volar por Mara dal Corso
  • Héroes de la aviación que cambiaron el mundo por Dan Green
  • El niño que alcanzó las estrellas por José M. Hernández
  • La niña que aprendió a volar por Sylvia Acevedo
  • Buenas Noches Capitán Mamá por Graciela Tiscareño-Sato

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

How this unit builds knowledge:
Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡Esquivel! Un artista del sonido de la era espacial por Susan Wood
  • Ray Charles por Sharon Bell Mathis
  • Tito Puente, el Rey del Mambo por Monica Brown
  • Me llamo Celia, la vida de Celia Cruz por Monica Brown
  • ¡Azúcar! por Ivar Da Coll

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades as well as earlier in the year.

  • Plantas (Grade K)
  • La historia de la Tierra (Grade 1)
  • ¡Eureka! Estudiante inventor (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energía: pasado, presente y futuro. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • La historia de los combustibles fósiles por William B. Rice
  • El niño que domó el viento por William Kamkwamba y Bryan Mealer

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades.

  • Los nativos americanos (Grade K)
  • Una nueva nación: la independencia de los Estados Unidos (Grade 1)
  • La Guerra Civil de los Estaods Unidos (Grade 2)
  • La inmigración (Grade 2)
  • Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Más allá de Juneteenth: de 1865 al presente
. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Martí’s Song for Freedom/Martí y sus versos por la libertad escrito por Emma Otheguy
  • ¡Celebremos Juneteenth! escrito por Carole Boston Weatherford
  • Side by Side/Lado a Lado: The Story of Dolores Huerta and Cesar Chavez/La Historia de Dolores Huerta y César Chávez escrito por Monica Brown
  • Canto de alabanza para el día: Poema para la ceremonia inaugural del mandato de Barack Obama escrito por Elizabeth Alexander, traducido por Rodrigo Rojas

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Diverse texts

Amplify Caminos puts a variety of texts in the hands of students every day.

Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors. In addition to featuring a diverse range of authors and topics, our texts represent individuals and characters with a broad range of identity factors, including socioeconomic status, age, ability, race, ethnicity, country of origin, religion, and more.

Amplify Caminos texts include:

  • Authentic literature: Authentic literature exposes students to a variety of text types and perspectives to deepen their knowledge of fascinating topics in social studies, science, literature, and the arts. Authentic texts support text-to-self, text-to-world, and text-to-text connections for readers.
  • Decodable Student Readers: Amplify Caminos is built on the conviction that equitable instruction is vital to an effective program. Decodable Student Readers at grades K–2 are newly re-designed to celebrate students’ diverse experiences and feature individuals with a broad range of identity factors, including socioeconomic status, age, ability, race, ethnicity, country of origin, religion, and more.
  • ReadWorks® texts: Amplify and ReadWorks have partnered to deliver high-quality texts curated to support the Amplify Caminos Knowledge Sequence and to extend student learning. Texts include high-interest nonfiction articles in topics in social studies, science, literature, and the arts. These texts are accompanied by vocabulary supports and standards-aligned formative assessment opportunities. Teachers can monitor their students’ progress using the ReadWorks reporting features.
Three book covers displaying children's books in spanish, each featuring colorful and stylized illustrations related to cultural stories.

Amplify Caminos Trade Book Collection Guide

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.

Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

What makes Amplify Caminos different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Three connected orange blocks labeled

Explicit systematic skills instruction

The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

Coherent knowledge instruction

While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

A collage of illustrated book covers, including themes of Don Quixote, space exploration, and anthropomorphic animals in various scenarios, all enriched with Spanish language elements.

Embedded differentiation for all learners

Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

  • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
  • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
  • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

Systematic and cohesive writing instruction

Writing instruction in Amplify Caminos builds systematically and cohesively within and across grades.

In Grades K-2, writing mechanics—including handwriting and spelling—are taught in the Amplify Caminos Lectoescritura strand. Starting in Grade 1, instruction includes four steps in the writing process: planning, drafting, editing, and publishing and features lessons that have modeling, collaboration, and sharing. As students gain skills and confidence, they are able to take on more of these steps independently. Students learn to use planning techniques, including brainstorming and graphic organizers.

Beginning in Grade 4, the Amplify Caminos writing process expands to also include sharing and evaluating. In Grades 4 and 5, the writing process is no longer conceptualized as a series of scaffolded, linear steps (an important change from the Grade 3 writing process). Rather, students move between components of the writing process in a flexible manner, similar to the process mature and experienced writers follow naturally.

young male students writing with a pencil

Amplify Caminos’ writing instruction provides a clear progression through the text types in each grade.

Because Amplify Caminos has two strands of lessons in Grades K-2, Lectoescritura and Conocimiento, students are exposed to both narrative and informational texts throughout the year. In Grades 3-5, the integrated units feature study in literary, informational, or a mix of both types of texts, depending on the content of the unit.

  • Grades K–2 introduce and establish the key elements of each text type, allowing students to gain comfort and confidence writing narratives, opinions, and informative texts. This enables students to practice thinking about content in different ways, offering more depth and breadth to their understanding of core content and of the writing text types.
  • By Grade 3, students will have gained significant practice in narrative, opinion/argumentative, and informational/explanatory forms of writing and will continue to apply those skills through Grade 5.

How does Amplify Caminos integrate with the other parts of the literacy system?

Amplify Caminos + mCLASS® Lectura

Achieve complete parity between English and Spanish assessments with mCLASS Lectura for K–6. mCLASS Lectura allows teachers to connect with their Spanish-speaking students face-to-face, one-on-one, and in the language most comfortable to them. The result? Valid and reliable student data reports
available in both English and Spanish, enabling teachers to pinpoint where their Spanish-speaking or emergent bilingual students really are in their skill development and what instruction to prioritize.

Reading assessment validated for benchmark, progress monitoring, and dyslexia screening

Amplify Caminos + Amplify Reading

Amplify Reading is an engaging, adaptive digital program that extends the learning in Amplify Caminos. Amplify Reading offers support to a large sub-group of English learners (ELs) through Spanish voice-over. Spanish voiceover instructions are available in vocabulary and sentence-level comprehension games so ELs can build their vocabulary, language, and critical comprehension skills before moving into analyzing complex texts

Spanish Support

Demo access and sample materials

Ready to explore on your own? First, watch the videos below to learn about the program’s components and how to navigate the digital platform.

Physical materials walkthrough video



Digital navigation video

Demo access

Next, follow the instructions below to access your demo account.

Laptop screen displaying a login page for
  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.sfusdreviewer@demo.tryamplify.net
  • To explore as a student, enter this username: s1.sfusdreviewer@demo.tryamplify.net
  • Enter the password: Amplify1-sfusdreviewer
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Sample materials

Finally, click on the grade levels below to explore your requested sample units.

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.
Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

Additional resources

4 tools to help teachers better understand dyslexia

Despite variations in terminology, many professionals still consider dyslexia to be synonymous with the term “reading difficulty.” But a growing interest in the subject and a resurgence of the term in literacy research is increasing awareness of dyslexia’s neurobiological origins.

With things changing fast, it can be difficult to stay up to date on the latest research and instructional practices surrounding dyslexia. In this blog post, we’re providing four amazing reading materials to improve your understanding and ability to support struggling readers.

Defining dyslexia

Dyslexia is a critical topic in education these days — but what is it? This article from the Orton Gillingham Online Academy breaks down the International Dyslexia Association’s definition of dyslexia and what it means for students with this “hidden disability:”

“What is Dyslexia? Part 1” by Lorna Wooldridge

Dyslexia in your classroom

Students with dyslexia make up 15–20% of the school-age population, and are likely to be in every classroom. These fascinating statistics show just how present dyslexia is in the student population:

“Most Reading Difficulties Can Be Resolved or Diminished” by Carolyn Cowen

Dyslexic brains are wired differently, but intensive reading intervention can rewire them. Read about how science and technology are being used to understand what’s happening in a brain with dyslexia:

“How Science Is Rewiring the Dyslexic Brain” by Gabrielle Emanuel

Dyslexia: Fact and fiction

We know more about dyslexia now than ever before?—?can you distinguish between fact and fiction? Uncover the truths and myths of dyslexia now:

Dyslexia: Fact vs. Fiction by Amplify staff

Science of Reading principles that guide early literacy

Our understanding of the natural world is grounded in basic truths or laws we call scientific principles.

And we’ve got a similar set of principles for the Science of Reading.

In science, we have things like gravity, buoyancy, and the laws of motion, while the Science of Reading has universality, vocabulary, background knowledge, and so much more.

These principles, which are grounded in extensive Science of Reading research, inform our understanding of how children learn to read and guide educators in implementing best practices for science-based, effective literacy instruction.

These principles can support you in bringing the Science of Reading into your classroom and fostering literacy success for all your students.

Let’s take a look.

Science of Reading principles

We’ve identified 10 principles that touch on key Science of Reading components. Here’s a peek at the first five.

1. Science-based reading instruction supports all children.

Every child deserves access to high-quality instruction that can help them become proficient readers. The latest National Assessment of Educational Progress (NAEP) data shows that students’ reading scores are slipping, with 37% of fourth graders performing below the NAEP Basic level in reading in 2022. Fortunately, we have the research and tools we need to get to work reversing this trend—and more and more educators are using them. Science-based reading instruction channels decades of research into teaching methods that match the diverse needs of all students. Using the Science of Reading, we can raise those scores and support literacy development for this generation and the next.

2. Reading and writing must be taught systematically, explicitly, and cumulatively.

Humans typically learn to speak naturally, through social interaction. But reading and writing require formal instruction. According to the Simple View of Reading, reading comprehension is the product of both decoding and linguistic comprehension. Kids must be taught the relationships between sounds and letters (phonemic awareness and phonics), and how to decode words. Systematic instruction presents these skills in a logical order, explicit instruction goes beyond just “exposing” kids to words and texts, and cumulative instruction builds on skills learned before. This structured approach is essential for laying a strong foundation in literacy.

3. Proficient reading requires word recognition and language comprehension, while proficient writing requires transcription and composition skills.

Proficient readers recognize words quickly and effortlessly, allowing them to focus on understanding the text rather than decoding each word. They are then able to comprehend language using a knowledge of vocabulary, an understanding of sentence structure, and the skill of meaning-making. Likewise, proficient writers possess transcription skills, including spelling and handwriting. And as in reading, these transcription skills eventually become automatic, allowing students to expend less effort on handwriting, typing, and spelling and redirect that energy toward creating text and sharing ideas.

4. Reading and writing are mutually reinforcing processes that should be taught through integrated instruction.

When students read a variety of texts, they absorb different writing styles, structures, and vocabularies, which also serve as models for their own writing. Writing about what they read also helps students deepen their capacity for both comprehension and expression. Integrated instruction might include activities like reading a historical novel and writing diary entries from the perspective of a character, or researching a scientific topic and creating an informative brochure.

5. Background knowledge and vocabulary are critical to both reading comprehension and writing composition.

Background knowledge is like Velcro to which new texts, and new knowledge itself, can stick. A robust vocabulary is crucial for reading comprehension, because it allows students to understand and engage with more complex material. In writing, a rich vocabulary lets students express their ideas more precisely and vividly. Integrated activities such as book clubs or writing workshops can build background knowledge, vocabulary, and the natural interplay between reading and writing, fostering a holistic—and science-backed—approach to literacy development.

You’re part of a larger community—one made up of educators and researchers invested in deepening our understanding of how kids learn to read and write, and how to bring those approaches into the classroom. Start every day inspired and grounded in this community with our Science of Reading principles placemat.

Amplify Caminos for SFUSD

Amplify Caminos is an authentic elementary Spanish language arts program. Like its English language counterpart, Amplify CKLA, Amplify Caminos provides explicit, systematic foundational skills instruction sequenced with deep knowledge-building content to foster comprehension. When used with Amplify CKLA, Amplify Caminos provides full parity across English and Spanish that’s suitable for any dual language implementation model.

Colorful illustration featuring a child in traditional Andean clothing, tropical plants, a volcano, a toucan, a horse rider, and the word "Gracias!" written in Spanish.

Amplify and SFUSD Partnership

We recognize and respect the unique differences of each of our partnering districts—and that includes San Francisco USD.

Out of the box, Amplify Caminos offers districts a rich, comprehensive, research-based SELA experience. That said, no two districts are exactly alike. To that end, we are committed to working with San Francisco USD to ensure that Amplify Caminos addresses the needs of your community. This includes providing implementation guidance and support, as well as collaborating with your staff to determine which domains need to be modified or exchanged.

What is Amplify Caminos?

Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

  • Authentic instruction built from the ground up for the Spanish language.
  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.

Watch the video below to learn more about Amplify Caminos for Grades K–2.

Watch the video below to learn more about Amplify Caminos for Grades 3–5.

How does Amplify Caminos work?

Amplify Caminos is built on the science of how kids learn to read—in Spanish.

Amplify Caminos is all about helping you teach students how to read, all while giving them authentic and engaging reasons to read. That’s why Amplify Caminos develops foundational skills and builds knowledge in tandem.

  • Knowledge: Through complex and authentic Spanish read-alouds with an emphasis on classroom interactivity, oral comprehension, and contextual vocabulary, students start to build their awareness of the world around them—and the way the reading skills they’re building give them access to it.
  • Skills: Starting with the sounds at the core of the Spanish
    language, students practice their phonemic awareness, handwriting skills, vocabulary, spelling, and grammar. Through daily practice, students become aware of the connection between reading and writing, building confidence as they go.
A diagram illustrating reading development as intertwined strands: language comprehension and word recognition, progressing from basic skills to increasingly strategic and automatic reading.

Respecting the development differences between grade ranges, Amplify Caminos teaches foundational skills and background knowledge as two distinct strands in grades K–2, and combines them into one integrated strand in grades 3–5.

Grades K–2:
Every day, students in grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds robust background knowledge to access complex text in the Amplify Caminos Conocimiento strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5:
In grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

What do Amplify Caminos students explore?

Amplify Caminos builds students’ knowledge about the world.

In addition to teaching all students to crack the written code (which is vital for fairness), the Amplify Caminos program helps students see the strengths and experiences we all share while celebrating their own unique identities and experiences.

This is accomplished through the exploration of topics and text that feature people who resemble students and familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.

Engaging domains

Amplify Caminos builds knowledge coherently across subjects and grades.

Throughout the program, students use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups.

Carefully selected to build from year-to-year, our grade-appropriate topics help students make and deepen connections while also reading, writing, and thinking creatively and for themselves.

Curriculum flowchart showing reading themes and activities from Kindergarten to Grade 5, organized by grade level and literary theme, with interconnected boxes for each topic.

New Knowledge Research Units for Grades K–5

Our brand-new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

  • Adding more content for students from all walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: El arte y el mundo que nos rodea
  • Grade 1: Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: ¡A volar! La era de la aviación
  • Grade 3: Jazz y más
  • Grade 4: Energía: pasado, presente y futuro
  • Grade 5: Más allá de Juneteenth: de 1865 al presente

Units will be made available in English and Spanish, and will include the following components:

  • Teacher Guide
  • Student Activity Books
  • Image Cards
  • Trade Book Collection
  • Digital Components (for Grades K–3 and Grade 5 only)

Why we added this unit:
“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. El arte y el mundo que nos rodea honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the world around them.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Caminos domains: GranjasPlantas, and Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, even as they have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Georgia O’Keeffe por Erica Salcedo
  • Yayoi Kusama: De aquí al infinito por Sarah Suzuki
  • Tejedora del arcoíris por Linda Elovitz Marshall
  • Las tijeras de Matisse por Jeanette Winter
  • El museo por Susan Verde
  • Quizás algo hermoso: Cómo el arte transformó un barrio por F. Isabel Campoy

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in the previous grade.

  • Rimas y fábulas infantiles (Kindergarten)
  • Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Cuentos de aventuras: relatos desde los confines de la Tierra. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name Is Gabito/Me llamo Gabito por Monica Brown
  • Galápagos Girl/Galapagueña por Marsha Diane Arnold
  • My Name Is Gabriela/Me llamo Gabriela por Monica Brown
  • El viaje de Kalak por María Quintana Silva y Marie-Noëlle Hébert
  • Señorita Mariposa por Ben Gundersheimer
  • Sharuko, el arqueólogo peruano/Peruvian Archaeologist Julio C. Tello por Monica Brown
  • Abuelita fue al mercado por Stella Blackstone

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aida de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered earlier in the year.

  • La civilización griega antigua (Grade 2)
  • Mitos griegos (Grade 2)
  • La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in ¡A volar! La era de la aviación. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡A volar! Todo sobre aviones por Jennifer Prior
  • Amelia sabe volar por Mara dal Corso
  • Héroes de la aviación que cambiaron el mundo por Dan Green
  • El niño que alcanzó las estrellas por José M. Hernández
  • La niña que aprendió a volar por Sylvia Acevedo
  • Buenas Noches Capitán Mamá por Graciela Tiscareño-Sato

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

How this unit builds knowledge:
Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡Esquivel! Un artista del sonido de la era espacial por Susan Wood
  • Ray Charles por Sharon Bell Mathis
  • Tito Puente, el Rey del Mambo por Monica Brown
  • Me llamo Celia, la vida de Celia Cruz por Monica Brown
  • ¡Azúcar! por Ivar Da Coll

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades as well as earlier in the year.

  • Plantas (Grade K)
  • La historia de la Tierra (Grade 1)
  • ¡Eureka! Estudiante inventor (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energía: pasado, presente y futuro. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • La historia de los combustibles fósiles por William B. Rice
  • El niño que domó el viento por William Kamkwamba y Bryan Mealer

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades.

  • Los nativos americanos (Grade K)
  • Una nueva nación: la independencia de los Estados Unidos (Grade 1)
  • La Guerra Civil de los Estaods Unidos (Grade 2)
  • La inmigración (Grade 2)
  • Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Más allá de Juneteenth: de 1865 al presente
. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Martí’s Song for Freedom/Martí y sus versos por la libertad escrito por Emma Otheguy
  • ¡Celebremos Juneteenth! escrito por Carole Boston Weatherford
  • Side by Side/Lado a Lado: The Story of Dolores Huerta and Cesar Chavez/La Historia de Dolores Huerta y César Chávez escrito por Monica Brown
  • Canto de alabanza para el día: Poema para la ceremonia inaugural del mandato de Barack Obama escrito por Elizabeth Alexander, traducido por Rodrigo Rojas

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Wide-ranging texts

Amplify Caminos puts a variety of texts in the hands of students every day.

Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors. Our texts feature a wide variety of authors, topics, individuals and characters representing many different socioeconomic statuses, ages, abilities, races, ethnicities, countries of origin, religions, and more.

Amplify Caminos texts include:

  • Authentic literature: Authentic literature exposes students to a variety of text types and perspectives to deepen their knowledge of fascinating topics in social studies, science, literature, and the arts. Authentic texts support text-to-self, text-to-world, and text-to-text connections for readers.
  • Decodable Student Readers: Decodable Student Readers at grades K–2 are newly redesigned to include students from all walks of life and educational backgrounds. They feature characters with a broad range of backgrounds, experiences, ages, races, religions, and more.
  • ReadWorks® texts: Amplify and ReadWorks have partnered to deliver high-quality texts curated to support the Amplify Caminos Knowledge Sequence and to extend student learning. Texts include high-interest nonfiction articles in topics in social studies, science, literature, and the arts. These texts are accompanied by vocabulary supports and standards-aligned formative assessment opportunities. Teachers can monitor their students’ progress using the ReadWorks reporting features.
Three children's book covers in Spanish are shown: "La Flor de Oro," "El conejo en la Luna," and "El secreto de las hormigas," each featuring illustrated artwork.

Amplify Caminos Trade Book Collection Guide

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.

Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

What makes Amplify Caminos different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Flowchart showing "Language comprehension" times "Word recognition" equals "Skilled reading," with text in both Spanish and English inside orange boxes.

Explicit systematic skills instruction

The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

Coherent knowledge instruction

While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

Embedded differentiation for all learners

Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

  • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
  • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
  • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

Systematic and cohesive writing instruction

Writing instruction in Amplify Caminos builds systematically and cohesively within and across grades.

In Grades K-2, writing mechanics—including handwriting and spelling—are taught in the Amplify Caminos Lectoescritura strand. Starting in Grade 1, instruction includes four steps in the writing process: planning, drafting, editing, and publishing and features lessons that have modeling, collaboration, and sharing. As students gain skills and confidence, they are able to take on more of these steps independently. Students learn to use planning techniques, including brainstorming and graphic organizers.

Beginning in Grade 4, the Amplify Caminos writing process expands to also include sharing and evaluating. In Grades 4 and 5, the writing process is no longer conceptualized as a series of scaffolded, linear steps (an important change from the Grade 3 writing process). Rather, students move between components of the writing process in a flexible manner, similar to the process mature and experienced writers follow naturally.

young male students writing with a pencil

Amplify Caminos’ writing instruction provides a clear progression through the text types in each grade.

Because Amplify Caminos has two strands of lessons in Grades K-2, Lectoescritura and Conocimiento, students are exposed to both narrative and informational texts throughout the year. In Grades 3-5, the integrated units feature study in literary, informational, or a mix of both types of texts, depending on the content of the unit.

  • Grades K–2 introduce and establish the key elements of each text type, allowing students to gain comfort and confidence writing narratives, opinions, and informative texts. This enables students to practice thinking about content in different ways, offering more depth and breadth to their understanding of core content and of the writing text types.
  • By Grade 3, students will have gained significant practice in narrative, opinion/argumentative, and informational/explanatory forms of writing and will continue to apply those skills through Grade 5.

How does Amplify Caminos integrate with the other parts of the literacy system?

Amplify Caminos + mCLASS® Lectura

Achieve complete parity between English and Spanish assessments with mCLASS Lectura for K–6. mCLASS Lectura allows teachers to connect with their Spanish-speaking students face-to-face, one-on-one, and in the language most comfortable to them. The result? Valid and reliable student data reports
available in both English and Spanish, enabling teachers to pinpoint where their Spanish-speaking or emergent bilingual students really are in their skill development and what instruction to prioritize.

A laptop screen displays a slide describing the Lectura data-driven instructional cycle with sections for Assessment, Reporting, and Instruction, each illustrated with sample interface screenshots.

Amplify Caminos + Amplify Reading

Amplify Reading is an engaging, adaptive digital program that extends the learning in Amplify Caminos. Amplify Reading offers support to a large sub-group of English learners (ELs) through Spanish voice-over. Spanish voiceover instructions are available in vocabulary and sentence-level comprehension games so ELs can build their vocabulary, language, and critical comprehension skills before moving into analyzing complex texts

Language selection screen with options for English and Spanish, and an illustrated girl saying “¡Hola!” in a speech bubble. The heading reads “Idiomas.”.

Demo access and sample materials

Ready to explore on your own? First, watch the videos below to learn about the program’s components and how to navigate the digital platform.

Physical materials walkthrough video

Digital navigation video

Demo access

Next, follow the instructions below to access your demo account.

  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.sfusdreviewer@demo.tryamplify.net
  • To explore as a student, enter this username: s1.sfusdreviewer@demo.tryamplify.net
  • Enter the password: Amplify1-sfusdreviewer
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Sample materials

Finally, click on the grade levels below to explore your requested sample units.

Additional resources

S3-01: Science as the underdog, and the research behind it

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

Get ready for season 3 of Science Connections: The Podcast!

In our first episode, we unpack the research around our season theme of science as the underdog with Horizon Research, Inc. Vice President Eric R. Banilower and  Senior Researcher Courtney Plumley. Eric and Courtney dive into the research they’ve found and their experiences as former educators to show how science is often overlooked in K–12 classrooms. We discuss how the science classroom compares to other subjects in terms of time and resources, how schools are a reflection of society, and what’s needed to change science and its impact on a larger scale.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Courtney Plumley (00:00):

We asked teachers how much science, professional development, they’ve had in the last three years, and nearly half of elementary teachers said none.

Eric Cross (00:10):

Welcome to Science Connections. I’m your host, Eric Cross. I am super-excited to be kicking off the third season with the show. This entire season will be exploring the theme of science as the underdog. And we’re gonna make the case for science, by showing how and why it can be used more effectively. In the coming episodes, we’re gonna talk about how science can be better integrated into other content areas like literacy and math, and explore some of the benefits that you might not be thinking about good science instruction. But first, science as the underdog. I bet some of you out there feel like science is the underdog in your community at school. I know I have at times. To kick off this season, I’m gonna talk to two people who really studied this question by looking at the state of science instruction across the US. Eric Banilower is Vice President of Horizon Research and Courtney Plumley is Senior Researcher at Horizon Research. Eric was the principal investigator and Courtney an author of the latest in a series of studies called “The National Survey of Science and Mathematics Education.” We’re gonna dive into the findings of their most recent report to see what the data’s showing us. Please enjoy my discussion with Eric Banilower and Courtney Plumley. Courtney, hello. And thank you so much for joining us.

Courtney Plumley (01:25):

Hi Eric. It’s nice to be here.

Eric Cross (01:26):

And Eric, welcome.

Eric R. Banilower (01:27):

We’re thrilled to be here, so thank you for having us.

Eric Cross (01:30):

I was reading through the report. Four hundred…a very thorough report, 471 pages, I think, as I got it?

Eric R. Banilower (01:37):

And that’s only one of the many reports from that study.

Eric Cross (01:40):

Yeah. You all have done your work, so I’m really excited to to talk to you about this. And on this season of the show, we’re exploring the theme of science as the underdog. And I think a lot of our listeners, we feel like science is an underdog either in their school or in their district. But you’ve actually done some research on this, in a 2018 study, “The National Survey of Science and Mathematics Education.” So I wanna talk about this report. But first I was hoping you can kind of set the stage. How did you come to work on this report, and then, big picture, what were you hoping to find out?

Eric R. Banilower (02:10):

So the 2018 study that you just mentioned was actually the sixth iteration of a series of studies dating back to 1977. And we collect data every decade or so—you know, plus or minus a few years. And really, what we’re trying to do is get a snapshot of what the science and math education system looks like in in the nation. So my role grew. I started working at Horizon in about 1998, after teaching high school for five years in California. And then going to graduate school. And right about that time, the company was doing the 2000 iteration of the survey. And I worked on it with the team here at Horizon. And then we did it again in 2012. And I had a much more prominent role in that study, and became the kind of leader of the study. And in 2018, the most recent version, we just did it again. So the goal of this study is really to kind of examine key aspects of the K–12 STEM education system. And the main audience of the work has traditionally been policy makers, researchers, and practitioners who work at the federal, state, and district level.

Eric Cross (03:30):

So this study, you took kind of a sample size, but it’s reflective of trends that we tend to see across the nation as a whole. Would that be fair to say?

Eric R. Banilower (03:38):

Yes, definitely it is. It is a random sample of schools in the country. So we start with a list of all the public and private schools in the nation, and then do a random sample of those schools, and then work really, really hard to recruit schools to agree to be in the study. And that has gotten harder every time we’ve done the study, for many understandable reasons. And then once we have schools on board, we sample teachers within schools. So we don’t even survey every teacher in a school. It’s really a sub-sample. So that we can make inferences about the nation as a whole.

Eric Cross (04:14):

Makes sense. And so Courtney, what did you find out about the time spent on science instruction in US schools?

Courtney Plumley (04:22):

So, I’m gonna talk about elementary teachers to begin with.

Eric Cross (04:26):

Because that was your past life, right?

Courtney Plumley (04:28):

I am a former elementary teacher, yeah. So that’s kind of where my head is. And that’s relatable for me. Right? So we asked teachers, like, how many days of the week or weeks of the year that they teach elementary school. And fewer than 20% teach science every day of the school year. They kind of do one or two things, for the most part. They teach a couple days a week or they teach every day of the week, but only for, like, maybe six weeks, and then they swap with social studies and they kind of do that across the school year. Which is really different from, like, math, right? We also asked elementary teachers, how often do they teach math, and it’s every day of the year. Then we also asked them how many minutes they teach when they’re teaching, and we kind of did the math to figure out, all right, if they taught science every day of the school year, how many minutes would it be in a single day, so that we could make a more comparable comparison with math and ELA. If you were to work it out, how many minutes of science an elementary teacher teaches across the year, and break it down to per day, it’s like 18 minutes for the lower elementary grades, 27 for the upper elementary grades. Which is not a lot. But it’s pretty much an hour a day in math, and 80 plus minutes in ELA. So, a lot less. And then, you know, when I was teaching, the first thing to go was always science, right? If there was an assembly, if there was early release or whatever, that was the first thing to go. So those numbers might even be higher. Just because they aren’t factoring that kind of thing in, too.

Eric Cross (06:05):

So, now I’m curious. That is something that I’ve seen just anecdotally, science being the first thing to go. I feel like I’ve seen that almost…it’s almost become a meme, that I’ve heard that so often. Just in your experience, why do you think that is that huge disparity between the two?

Courtney Plumley (06:26):

Well, I mean, when I was teaching, I was teaching third grade. I had an end-of-grade test in math and ELA for my kids. I didn’t have one in science. So the administration said, “Hey, if you’re gonna drop something, drop something that’s not tested.”

Eric Cross (06:41):

Simple as that. And Eric, you, past life: physics teacher. High school. What did you see? ‘Cause our listeners run the gamut from elementary all the way up to high school. What did you see, as far as relative science instruction in the secondary level?

Eric R. Banilower (07:00):

Sure. You know, secondary is just a whole different situation than elementary. Rght? Because you have departmentalization. I taught science. I didn’t have to teach other subjects. And students had periods, and they still do, sorry, they still have periods, even though it’s been a long time since I taught. And you know, they rotate from one class to another. So all the classes were essentially the same length. So, you know, when I was teaching, it was about 50-minute periods. So in terms of minutes of a class or minutes on a subject, it’s not really different. But what is different is what students are required to take in order to graduate high school. One of the things we asked schools about in this study was how many years of a subject do students have to take in order to graduate? And what we saw was in mathematics, over half the schools in the nation require students to take four years of mathematics to graduate. OK? And the vast majority of the rest, about 44%, require three years in science. Most schools require three years. Very few require four years. And many, or a fair number, still only require two years to graduate. So the expectation of what students are taking is lower in science than it is in mathematics.

Eric Cross (08:20):

So you were seeing the same trend in secondary, essentially.

Eric R. Banilower (08:24):

Yes.

Eric Cross (08:24):

The amount of time devoted to the instruction of science…we’re kind of seeing it mirrored just across K–12 across the board.

Eric R. Banilower (08:33):

That’s correct.

Eric Cross (08:34):

And that’s across the country. ‘Cause the sample size represents teachers from Alaska, Hawaii, the South, SoCal, everywhere. So what’s been the reaction to that number? Like 18 to 20 minutes is…I mean, it’s, it’s half of my lunch at our school. What’s been the reaction to that number since this data has been published?

Eric R. Banilower (08:58):

I don’t know, Courtney, if you want to take that…

Courtney Plumley (09:00):

It’s a lot of what you just did. Like, what??? Like, how is it possible to teach all the things you need to teach in such a little amount of time?

Eric R. Banilower (09:08):

What’s really kind of surprising to me, though — though now that I’ve worked on three iterations of the study, it no longer surprises me, but it did at first — is that these numbers really aren’t changing since we’ve started doing this study. You know, people thought maybe with No Child Left Behind and the increase in accountability, time on science might actually go down, because there was more testing in math and English Language Arts. It didn’t happen. It was pretty much constant, that this has been kind of the state of science education for a long time.

Eric Cross (09:44):

So Eric, if I’m hearing you right: The past studies, we’re not seeing an increase or a decline. This has been this way for how many years, roughly, would you say? Since it’s been studied?

Eric R. Banilower (09:54):

You know, I’d have to go back to the 1977 report to get the numbers, but I’m gonna say since then, it has not changed much, if at all.

Eric Cross (10:03):

So this has kind of been entrenched. This has been the norm for almost for the career of a teacher, almost generationally. We’re looking at anyone who’s been in the highest levels of leadership to someone just entering the classroom, this has been the way it’s always been. This is kind of for many people what they’ve only known.

Eric R. Banilower (10:20):

Right.

Eric Cross (10:21):

Kind of become the norm.

Courtney Plumley (10:21):

We didn’t even have science when I was in elementary school. We had science on a cart that came by, you know, every other week.

Eric Cross (10:28):

Was that like a food truck, but like the science version of it? It shows up and does quick science and takes off?

Courtney Plumley (10:35):

And New York was, I mean — we always watched Voyage of the Mimi. I don’t know if you ever watched that. But that’s what we watched every single time the Science on the Cart came. So it’s like a marine biology show. Ben Affleck was on it when he was a kid.

Eric Cross (10:48):

<laugh> Really? For me it was, Mr. Wizard. For some of my students, even now, Bill Nye. You know, the Bill Nye show or something would come on. So what happens when you look at less wealthy districts? Is there a relationship between community resources and science instruction, or is it pretty much equal no matter what the district resources are, the school’s resources are? Did you see any data there?

Eric R. Banilower (11:12):

Yes. We actually did a lot of disaggregating the data by community type, student demographics in the schools, to look to see whether there were areas of inequities across the country. And, you know, one of the factors we looked at was kind of a measure of socioeconomic status. You know, wealth in the community. By looking at percentage of students eligible for free or reduced-price lunch. And interestingly, in terms of time on science instruction, there is actually not a relationship between income level and how much time is spent at the elementary level on science, which actually surprised us.

Eric Cross (11:54):

Because you might have expected it to be the other way now. And granted, it’s 18 to 20 minutes, there isn’t much more to shave off off of that. But were there other differences, like when you compared those communities? Maybe it wasn’t the amount of science instruction, but was there anything else, like teacher preparedness, resources? Were there anything else that you did see discrepancies in? Or was it equal across the board?

Eric R. Banilower (12:13):

No, unfortunately there, there have been, and still are, a number of areas where community resources are related to pretty substantial differences in educational opportunities that students have. So, you know, we’re talking about the high school science requirements. One of the things that we saw was that high schools in less wealthy communities tend to offer less rigorous science courses than high schools in better-off-financially communities. So they may not be AP courses or second year advanced courses to the same extent that there are in the wealthier communities. That’s one big difference that we saw. Another one was what you were just saying about, sort of, the teachers who teach in these communities. You know, I think that for many years people have had a feeling that the best teachers go to the better off schools because it’s easier to teach there. Well, we see that the schools with the most poverty, they tend to have the newer teachers, who are just starting their career. They tend to have teachers who are less well prepared to teach their subject. And there’s a host of other differences we found. And you know, you mentioned the report being 400 pages. This other report that looks at these differences is also quite long, and, you know, identified a number of areas where there are these disparities in the system.

Eric Cross (13:43):

Well, we appreciate you synthesizing this for us, because this is super-important. And you’ve fleshed out a lot of things. And the fact that it’s driven by data, we as science teachers, we as scientists, being objective, really, really value that. Because this is actually validating a lot of the things that our listeners and myself, we experience anecdotally. But you don’t have a lot of things to network you. And sometimes, when you see this, you wonder if it’s just you, or is are other people experiencing this? And so as you start talking about this data, realizing, oh wow, this is not something in isolation. This is systemic. This is something that’s impacted. And then Eric, what you said about schools that were lower-income, that were under-resourced, and didn’t offer those advanced classes, what are some of the impacts of that, maybe downstream, of doing that? Not having those AP classes? I just kind of wanted to put that out there and ask you.

Eric R. Banilower (14:31):

You know, this is a really…this is a current debate right now, about what the goals of schooling K–12 should be. You know, are all kids meant to go to college? Should there be alternative paths? And you know, I know when I was teaching, I would have students say, “Why do I need to know this? I’m not gonna go into science. I’m not gonna study physics. Why do I need to take this?” And, you know, the answer I used to give them was, “You never know where your life is gonna end up and what opportunities you’ll have. And by having these educational experiences, you have more opportunities available to you. Whether or not you choose to go down those paths, you have opportunities. And when you don’t take this kind of coursework, you know, even if you don’t want to go to college, you limit your potential careers. Because so many careers nowadays require some technical knowledge, some knowledge of science, even if it’s not explicitly a science job. It is embedded in our society now. We are a technological and science-based society.”

Eric Cross (15:37):

It reminds me of something that I’ve told my students, that if you become a scientist, that’s awesome. I love that. But if you don’t, and you want to be a dancer or an actor or a lawyer or anything that may not be directly related to STEM, I want you to choose it because it was a choice, and not a lack of options. So as long as you’re choosing not to go in STEM, and you don’t make that decision because you can’t, or because you weren’t given the opportunity. So that’s how I’ve always had this mindset as a teacher. And I’ve explained it to my students. So if you say, “Cross, you know what I want to do, I wanna be an awesome chef,” which, you know, low-key that’s science, right? <laugh> Molecular gastronomy, we know that. But like, you be the best chef. But as long as you’re being a chef because you choose that, and you’re like, “I love science, but I don’t wanna go that direction,” we’re good.

Eric R. Banilower (16:26):

Right. And if you think about, a lot of social justice issues with pollution and climate change, and you look at which communities are more affected by some of these larger environmental problems and challenges, it tends to be the lower socioeconomic communities, the more poverty-stricken communities have worse water, have worse air quality. And so if, if people from these communities are going to make informed decisions about who they’re gonna vote for, about what policies they’re gonna support, those are science topics that you have to have some understanding in order to make informed decisions in your life.

Eric Cross (17:09):

Courtney, you were one of the Swiss Army Knife teachers. This is how I perceive it for elementary. You had to teach everything. And shout out to all of my elementary school teachers that have to be mathematicians and grammar whizzes and scientists and PE instructors and social emotional, all of those different things. you also looked at teacher preparedness. How did teachers feel about teaching science compared to other subjects like language arts and math? Did you see anything there?

Courtney Plumley (17:39):

We did, we did. And I’m glad you said, “How did they feel about it?” Because one thing that, you know, in a survey you can’t really do is capture how someone actually…how good someone actually…the quality of someone’s instruction. But you can ask them how prepared they feel. And you can even ask them like stats, like, “What did you major in in college?” You know. But you really are going on based on what what they say. So we ask them how prepared they feel to teach all the core subjects. And two-thirds of elementary teachers felt very well prepared to teach reading. They felt very well prepared to teach math. But when it comes to science, it’s less than a third felt very well prepared. And you know, like you said, when you’re teaching elementary school, you’re teaching all the subjects. But also in science, there’s usually four main instructional units in a school year. And they’re all from different science disciplines. So not only are you going on, like, “Maybe in college took a lot of bio classes, but I didn’t take any physics classes, and now I have to teach physics to my kids and I have no experience there.” So, you know, we also ask them how well-prepared they felt in these different disciplines. And the numbers are even smaller, you know. Fewer than a quarter felt very well-prepared in life science. And like 13% felt very well-prepared in physical science. So there’s definitely a big difference between how much teachers feel prepared for ELA and math versus science.

Eric Cross (19:08):

And just from a human perspective, when we don’t feel prepared for something, we’re not really gonna probably lean into it as much as we are into our strengths. Like, that’s just kind of how we are across the board.

Courtney Plumley (19:18):

Yeah.

Eric Cross (19:18):

I’m even like that with my own chores in the house. Or when I have things I need to get done, and I might not be as good at doing those things—it’s gonna be a heavy cognitive load; I’m gonna have to do some background research—I tend to find other areas to excel in. Like, I’m gonna be productive in this other area. I’m gonna really crush it here. But this other thing gets put to the back burner.

Courtney Plumley (19:36):

Totally. And the same reason I might skip science today, <laugh> ’cause it’s scary.

Eric Cross (19:41):

Yeah, exactly. But I love this book. <Laugh> Or we could do this math, and let’s really, really dive deep into it. Now, did you also look at professional development and instructional resources that are being provided?

Courtney Plumley (19:53):

We did.

Eric Cross (19:54):

And on the whole, how was the amount—and I’m seeing a trend here, so I’m kind of feeling like I know where this might go—but I wanted to ask it, did the amount of professional development and resources for science, was there much of a difference between that and other subjects?

Eric R. Banilower (20:10):

Well, I’ll start on this, and Courtney, feel free to jump in. You know, one of the things that we asked was how much kind of discretionary funding do schools devote to science and how much to mathematics? So, for consumables or equipment and supplies or computer software for teachers to use in the classroom. And it’s hard to compare, I think, across subjects because the demands for this kind of supplies, et cetera, is very different, I think, in science than it is in mathematics. Right? We have a lot of, you know, equipment for doing investigations, consumable supplies in science. And those things need to be replenished on a regular basis. It turns out, when we look at the data for school discretionary spending on this kind of stuff, the median school spends less than $2 per student at the elementary level on science, compared to over $6 for mathematics. At the high school level, it’s kind of reversed. Schools spend more money on high school science than they do on high school math. but even still, at the high school, it’s less than $7 per student. Which is not a lot of money being devoted to thinking about all the materials, supplies, chemicals, et cetera, that you need to teach science well, at the high school level. More disturbing is the fact that, you know, we were talking about inequities before, schools that serve less well-off communities spend less than schools that serve wealthier communities, by quite a big amount.

Eric Cross (21:46):

So essentially the per-student thing just kind of popped out to me: So, like, an expensive Starbucks drink is what we’re spending on science per student.

Eric R. Banilower (21:57):

At the high school level. Yes.

Eric Cross (21:58):

At the high school level. And I get those catalogs in the mail, from all of those big science companies. You can’t get much for seven bucks. At least, nothing high-level. And I know I do a lot of 99-cent store science. I go down the street, go to the 99-cent store. Thankfully we could do a lot of awesome science with just, you know, cheap things. But a lot of the higher level experiences, they’re pricey. But the experiences are so rich! And $7 at the high school level is nothing. It’s not much at all.

Eric R. Banilower (22:28):

Yeah. It is definitely, you know, kind of shocking to think about what we’re investing in our children’s future.

Eric Cross (22:37):

Now, just to put you both on the spot, ’cause I feel like that we’ve identified some…we’re seeing a trend here, we’re seeing a pattern. We’re talking about, you know, being science teachers. There’s a pattern going on here. Do you think it’s fair to characterize science as the underdog?

Courtney Plumley (22:52):

I think in elementary school, it is a fair statement. Because, like we said before, I mean they’re gonna preference math and ELA almost all the time. I mean, the other thing you’d asked a little bit ago was about professional development, too. And we do have some data on that. And we ask teachers, you know, how much science professional development they’ve had in the last three years. And nearly half of elementary teachers said none. And I know I didn’t have any science professional development. If I was gonna pick from among the catalog, I was picking one that I needed more, like math. Math and ELA. I keep making that statement, but just over and over, it’s the truth.

Eric Cross (23:31):

And going back to what you said earlier, because that’s where the accountability was, right? And that kind of came top-down.

Courtney Plumley (23:38):

Yes.

Eric Cross (23:38):

And influenced everything else.

Eric R. Banilower (23:40):

Yeah. Now, really interesting thing that we did, a year or so ago, ’cause someone asked us, you know, “Hey, could you look at this?” is we compared elementary science instructional time among states where science counted towards accountability versus states where science doesn’t count towards accountability. And at the upper elementary grades, more time was spent on science in schools in states where they had science accountability. Now I’m not arguing for adding science to accountability systems. But that’s a pretty telling piece of data.

Eric Cross (24:19):

What gets measured gets done.

Eric R. Banilower (24:20):

Yeah.

Eric Cross (24:20):

Or what was getting evaluated was getting done. And that raises, that opens up a myriad of other questions about testing, and what that reveals, and all of those different things. But at the end of the day, what you’re finding is that the things that were getting tested were the things that were getting the priority.

Eric R. Banilower (24:36):

That’s right.

Eric Cross (24:37):

How did we get to this point? And Eric, you said it goes back at least to ’77, but we look at society and we’re…I wanna say we’re post-pandemic, but we’re we’re not. but we’re trying to, we’re trying to get past that. But we’re looking at…we had innovations in biology, we have innovations right now in green energy and electric cars and all of these things that are STEM-based. We know that these are things that have moved humanity forward. And we look at the pipeline of people who are in STEM and we, we see the disparities and things like that. Why was science given less of a priority? I’m just curious. Maybe, Courtney, we could start with you, if you have any ideas. Or Eric. Either one. But how did we get here?

Eric R. Banilower (25:22):

<laugh> I think Courtney wants me to take that one. I’m older so I’ve seen more <laugh>. So, you know, I have the gray hair. She doesn’t. I think it’s complicated. And I know this sounds cliche, but but schools are a reflection of society, right? And, and so science education, you know, if you think back when Sputnik was launched, there became this great demand in America to improve and produce more scientists and engineers in response to this Cold War threat. Right? And then in the ’80s there was rising, oh, the gathering storm was an economic argument that we needed to increase science and math, you know, education and people going into those fields in order to compete economically against the global competitors. And I think that America has always produced a fair number, a large number, of high-quality scientists and engineers, you know. And we still lead the world in many ways. But where we’ve identified as a problem is who has those opportunities to go into those fields. You know, it used to be a very select, a very male-dominated, white male-dominated field. Right? And other people didn’t have the opportunity, or they were shown the way out pretty early. And we, I think, have come to realize as a country that, you know, the, the greater the diversity of thought that we can get into these discussions, the more innovative we can be and the more productive as a society we can be. And so I think we’ve had this shift in the country to, instead of thinking about just the quality for the select few, but to be thinking about the quality for everyone. And so that makes it seem like some of these challenges are greater than they used to be. And I think they’re different challenges, right? We’ve evolved as a society and I think schools have evolved.

Eric Cross (27:40):

There is a conversation I was in on a plane with a person who was a materials manager for a company that made the adhesive for sandpaper. And we were flying…I was flying to Denmark and he was flying to some other Scandinavian country. And we were just talking about it. And he came from another industry, and somehow the conversation led to science. I don’t know how that happened. But somehow I just started talking about science and I asked him about, Eric, kind of what you said about the US kind of leading the way in science innovation versus the rest of the world. And I asked him why. And he said one of the reasons why is because the heterogeneous thought. The different groups of people that are coming to a problem actually create more innovative and novel solutions. Versus when it’s more homogeneous. And everyone’s either culturally or just for whatever reason, kind of thinks a certain way. While they might have a more efficient way, the variety of solutions are not as varied and not as novel. I was reminded of that story based on what you just said. So it’s really interesting. So it seems to be that it benefits if we have more heterogeneous groups, more folks who are contributing to STEM, because that’s gonna be solving the next problem more efficiently. Or I guess maybe in my head it seems like the next we need…we do really well when we have a dragon to slay. I mean, it seems like we come together when that’s the case, right? Like, I dunno.

Eric R. Banilower (29:06):

No, I think that’s…I think that’s accurate.

Eric Cross (29:09):

Later on the season of the podcast, we’re gonna explore ways to better integrate science with other subjects like literacy and math. Were you able to study at all any more integrated approaches to science instruction? Does any of your research support that approach?

Courtney Plumley (29:25):

Not on the national survey, we didn’t study that. And it’s something that we’ve talked about before, because it’s difficult to get teachers to…we were talking about instructional time. It’s hard for teachers to put a number on it when they’re integrating, because, you know, it’s not like I have my science block from 3 to 3:30 anymore. Now it’s kind of scattered about. But it’s something that has been in the ether. We’ve been looking at it in a couple of projects. So there’s some evidence that it can be effective, especially for getting more, you know…the idea is you can get more time for science if you are integrating with other subjects. But one thing to kind of caution is like, students need to have opportunities to learn each discipline when they’re doing integrated instruction. So you don’t wanna just have, like, math in your science. Kids already know to just, like, support it. Then it’s hard to take time from math to put it into science when they’re not actually learning anything new. That’s the easy thing to do, though, is say, “Oh, my kids already know how to measure. We did that in a previous unit. So now we’ll we’ll do it as part of our science instruction.” So it’s a lot of work to make it so they’re learning something new, mathematics and science, at the same time. And it’s not really something that we think that teachers should be having to do on their own, with all the other things that teachers have to do. The last thing they need to do is be creating their own, you know, curriculum. Something that’s already…you know, it’s not straightforward. So we’ve been talking about it, we think it’s really something that instructional materials maybe need to be focusing on instead of teachers having to do that on their own,

Eric Cross (31:01):

Teachers would implement it, but asking them to create it is a whole different thing, and it’s a huge ask.

Courtney Plumley (31:08):

Yes.

Eric Cross (31:08):

Yeah. And, did I hear you right? So the ideal situation would’ve been the students learning a newer math concept, but embedded in a science kind of context? Or was that the better way? Versus, “I’m gonna take a math concept they already know and then just put it into the science setting?”

Courtney Plumley (31:26):

Well, if the idea is that you can get more science time if you’re, you know, integrating things, so you can maybe take time away from a specific math block by putting it with science, or whatever, then if the math is something that the kids already know, now you’re just taking away. I think that that has to be new in both cases, in order to justify having more time.

Eric Cross (31:49):

Right. Eric, in the secondary level, any thoughts on that? On integrating these disciplines together?

Eric R. Banilower (31:56):

I think, you know, just like at the elementary level, it can be challenging to do it well. When I taught, I taught my last couple years in a kind of school-within-a-school kind of situation, where our goal was to try to integrate science, mathematics, and language arts. And it’s hard to do that in a meaningful way. And we did not have curriculum materials given to us to help us do this. We were trying to figure out how to do this on our own, while we were teaching 200 kids a day in our subjects. Right? And five preparations. And you know, it’s a big ask of any teacher. And there are teachers who thrive on this and are great at this. And, you know, that’s one thing I wanna, make clear: our data is about the system, and we are former teachers. Almost everyone who works at Horizon is a former teacher. We have the greatest respect for teachers and what they do. And what our data is showing is are kind of like areas where the system isn’t providing teachers and their students the opportunities to do great things. I think at the high school level, there has been this idea of project-based learning where students are bringing together different skills, different ideas from across disciplines. And I think there’s, again, a lot of potential in doing that. But trying to develop those experiences so that they are doing service to the different subjects, so students are learning what they’re supposed to learn in English Language Arts, that they’re learning, important mathematics, and that this is in a science context, where they are getting to do and understand what science is and how science, as a discipline, operates…that’s just a really hard thing to develop.

Eric Cross (33:53):

So what I’m hearing—and I really appreciate the nuance in this, because it’s not a simple “Yes. Integrated is better,”—I’m hearing “Yes. Quality control.” “Yes. It needs to be written not by teachers; they’re the practitioners.” It’s “Yes. And,” not just simply binary. Which…it’s so easy to wanna chunk things and say yes or no on things. But this one seems a much more nuanced approach. And in a future episode, you mentioned project-based learning, we’re gonna try and talk to people who have thoughts on this. And I really appreciate that you talked about project-based learning, because also, how do you evaluate that? How do you evaluate whether or not it is high quality? Is this is something I see? You know, high-quality standards, highest quality science teaching, highly qualified teachers. It’s something that I see often. Now, based on all your research, this is kind of the 30,000-foot view. What advice might you have for people who are thinking about changing the way science is taught in this country? Which hasn’t changed since 1977, at least since we’ve been measuring it. Any advice for people who do want to act? Another way to ask, it might be, if you were given a magic wand, <laugh>, you have all power, what might you do if you can control the entire vertical system?

Eric R. Banilower (35:07):

Yeah, so a clarification, I do think science instruction has changed. It has evolved. I think there’s a lot of really good things going on in different pockets of the country. One of the challenges is bringing those good ideas and good practices to scale. Right? There are approximately 1.2 million teachers of science K–12 in this country. That’s a lot of people. And about 80% of those are elementary teachers who are responsible for teaching other subjects as well. So my thinking is often about, “How do we take what we know and that we’ve learned through decades of research is effective, and impact a large number of teachers, and therefore a large number of students?” And you know, Courtney I think has hinted at this already. And you’ve mentioned it too, Eric, is that teaching is a profession, right? And it’s a craft. But in no other profession do practitioners have the expectation that they’re developing their own tools and methods for their work. I know when I was in my teacher preparation program, and it’s still extremely common, one of the assignments perspective teachers are given is to develop a unit and develop a lesson, right? You don’t have doctors being asked to develop new treatments and new tests to use. Their job is to get to know their patient, assess what’s going on, and then using research-based methods to develop a plan of action, right? And I think that analogy works really well in education and is a way that we could have a scalable approach for kind of raising the floor across the country for the quality of science education. Giving teachers research-based materials, high-quality instructional materials, that they can then use and adapt to meet the needs of their students, would allow them to focus on getting to know their students, seeing what their strengths are, seeing where they have room for growth, and using the materials they’re given to help those students progress. And I think that is definitely a way where we could have a big impact at a large scale.

Eric Cross (37:39):

Courtney, same question: Magic wand, all power. You can change systems from the elementary perspective. What would you do? I’m assuming part of it’s gonna be changing that 18 to 20 minute time. But even for that to happen, what would you do? What would you change?

Courtney Plumley (37:57):

Well, I don’t know. Like, for it to change, I don’t know the answer to that. But yes, increasing the time would be great. And like Eric was saying, giving teachers— ’cause again, I’m coming in, not enough probably background in science—and then, you know, when I was, when I was teaching, we had one set of textbooks for the entire grade. Six classes, right? Like, share them. But third graders aren’t gonna read textbooks anyway, right? So instead I’m going to the teacher store. I’m pulling things off the shelf. And like, “OK, yeah, sure, I’ll use this.” And nowadays, teachers are going to Teachers Pay Teachers or whatever. Because I didn’t have anything good to use. So like Eric is saying, if I had instructional materials that were good instructional materials that were gonna teach my kids, that they were gonna be engaged, that they weren’t sitting and listening to science, but they were doing science, you know, and I had professional development to actually help me do it? That’s what I think we need to have. And I mean, I know there are some people out there that are working on that, but it’s not a lot. I mean, if you look at Ed Reports, they rate how well-aligned science curriculum are to standards. And there are two right now that have Ed Reports green lights. There’s Amplify and there’s OpenSciEd. You know, so there’s not much out there for teachers to use. And, so it’s hard. It’s hard. Where am I gonna go and get this stuff if it doesn’t exist? And so I’m making it up by myself. Which we already said is not the best use of teachers’ time, when they’ve got so many other demands on their time.

Eric Cross (39:27):

Eric and Courtney, listening to both of your responses, it created a visual in my mind. And Eric, I loved your analogy of…I started thinking of a chef, a welder, and a farmer. And I thought about the chef saying like, “You’re a great chef! Now, can you go farm, and make your own food, so that you can cook it?” Or the welder who has to make his own welding tools and go smelting. You know, making the different rods. I’m not a welder. But you know, all those different parts. Or the farmer who has to build his own tractor and innovate all that stuff. You’re absolutely right, the way you articulated that. And then Courtney, you essentially said, “Give them the tools and then teach them how to use it so they can go and actually be effective with it, because you’re in front of kids doing so many different things.” There’s only so much time in the day, and teachers want to do these things; they want to, but you end up having to triage when you’re asked to. Going back to Eric’s analogy, if you’re in the ER, but you’re also creating the vaccines and you’re also doing the research on which types of vaccines are gonna be the most effective, that’s, that’s a lot to ask. And so, I appreciate both your responses on that. Now, last question, what are you both working on now? This report came out in 2018. What’s, what’s next on the horizon? Actually literally, that’s no pun intended. <laugh> What’s next? <laugh> What’s next for, for you both? What are you working on?

Eric R. Banilower (40:42):

Well, you know, we would love to do another national survey, in a few years. We have to get funding to do it. And you know, that’s always something that takes effort and isn’t a guarantee. We’ve written grants to do these studies in the past, and there’s also the dealing with the reality of the situation. I think a lot of schools, still coming off the tail end of dealing with Covid, are overwhelmed. And we’ve had a hard time, I mentioned before, recruiting schools, and it gets harder every time, just ’cause they have so much on their plate. And I couldn’t see going to a school now and saying, “Hey, one more thing. Do you mind?” So I think we have to kind of wait a little bit for things to settle down before we can do another one of these studies. It just doesn’t seem feasible right now. But we’d love to in the not-too-distant future. Other than that, Courtney and I actually work on some projects together and some projects not together. One of the things that we’re working on together is a study of a fifth grade science curriculum that was developed by Okhee Lee at NYU and her colleagues, that is both aligned with the NGSS and purposely designed to support multilingual learners in developing both their science knowledge and skills as well as their language skills. And we’ve been working with the crew at NYU to study this curriculum and try to figure out, how well it’s working and under what circumstances. So that’s been a really interesting project that’s going on right now.

Courtney Plumley (42:26):

I recently worked on a report with the Carnegie Corporation in New York that actually I think, compliments what we’ve been talking about a lot. It’s about the status of K–12 education in the US—or science education in the US! <Laugh>—and so as part of that report we interviewed like 50 science education experts across the country. We surveyed teachers, people in the university settings, researchers, and everything to kind of get a little bit more update of the state of science education right now. And so a lot of the things we’ve been talking about, we still are talking about with the people in this report four years later. So, work in progress. <Laugh>

Eric Cross (43:09):

And again, going back to 1977, based on what Eric was saying earlier, we’re looking at these large systems, these systemic changes don’t happen overnight.

Eric R. Banilower (43:20):

That’s right.

Eric Cross (43:21):

It’s very slow-moving.

Eric R. Banilower (43:22):

That’s right. I would say there is progress. I think we’ve learned a lot. We are getting better. Are we there yet? No, we’re not happy with where we are. But I think, you know, I think it’s important to be hopeful about the direction things are going in.

Eric Cross (43:37):

Well-said. I agree. Courtney. Eric, thank you so much for unpacking that report that speaks to, that validates what so many teachers across the country are experiencing. And thank you for your advocacy for high-quality science education and your passion for supporting teachers and being that voice from a data-driven perspective of what teachers experience and then advocating for solutions for them. It’s super-encouraging for me, and I know it’s gonna be really encouraging for a lot of our listeners. So thank you.

Eric R. Banilower (44:10):

Thank you for having us.

Courtney Plumley (44:12):

Yeah. Thank you, Eric.

Eric Cross (44:15):

Thanks so much for listening to my conversation with Eric Banilower, Vice President of Horizon Research, and Courtney Plumley, Senior Researcher at Horizon Research. For much more, check out the show notes for a link to the 2018 National Survey of Science and Mathematics Education. And please remember to subscribe to Science Connections wherever you get podcasts, so that you’re not missing any of the upcoming episodes in Season three. Next time on the show, we’re gonna start laying out the road map for using science more effectively. And we’ll start by looking at the how and the why of integrating literacy instruction.

Susan Gomez Zwiep (44:49):

When we look at Science First and build language development around it, the experience tends to be more authentic and organic.

Eric Cross (44:58):

That’s next time on Science Connections: The Podcast. Thanks so much for listening.

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What Eric R. Banilower says about science

“Our data is showing us places where the system needs to provide teachers and their students the opportunities to do great things.”

– Eric R. Banilower

Vice President of Horizon Research, Inc.

Meet the guests

Eric R. Banilower is a Vice President at Horizon Research, Inc. (HRI), and has worked in education for over 30 years. Eric was previously a high school physics and physical science teacher before he joined HRI in 1997, where he has worked on a number of research and evaluation projects. Most recently, he has been the Principal Investigator of the 2012 and 2018 iterations of the National Survey of Science and Mathematics Education, a nationally representative survey focusing on the status of the K–12 STEM education system.

A middle-aged man with light hair, glasses, and a short beard is smiling, wearing a plaid shirt. The photo has a circular frame with a star and decorative lines.

Courtney Plumley is a Senior Researcher at Horizon Research, Inc. She began her career in education as an elementary school teacher before starting at HRI in 2009. In her time at HRI she has worked on many K-12 STEM research and evaluation projects. Most recently, Ms. Plumley has worked with Carnegie Corporation of New York on mapping the landscape of K-12 science education in the US and is managing the field test for the OpenSciEd elementary materials.

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A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! 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. 

Season 7, Episode 6

What teachers can learn from incarcerated youth, with Hilderbrand Pelzer III

In this episode, we take on the difficult topic of literacy education in the American juvenile justice system. Susan is joined by Hilderbrand Pelzer III, who discusses his experience as an educational leader in the Philadelphia prison system. Pelzer talks about what he saw and learned—and explains why he advocates for aspiring teachers to work with incarcerated youth. This passionate and moving discussion breaks down the myths surrounding literacy’s relationship with juvenile incarceration and also leaves listeners with advice on how to become more involved in their own communities.

Meet Our Guest(s):

Hilderbrand Pelzer III

Hilderbrand Pelzer III

In his over three decades of experience, Hilderbrand Pelzer III has earned a stellar reputation as an award-winning educator and inspirational speaker. His leadership in the education field began when he became Philadelphia’s youngest high school principal in the early 2000s. His greatest accomplishment—in a career that has included leading five different schools—was in one of the largest prison systems in the United States in Philadelphia. There, Pelzer led a pivotal shift toward higher expectations for all incarcerated youth by demonstrating how much these students are capable of learning. Leveraging these unique lessons, Pelzer teaches his audiences how to raise expectations for all students.

Meet our host, Susan Lambert

Susan Lambert is the Chief Academic Officer of Elementary Humanities at Amplify, and the host of Science of Reading: The Podcast. Her career has been focused on creating high-quality learning environments using evidence-based practices. Susan is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Susan explores the increasing body of scientific research around how reading is best taught. As a former classroom teacher, administrator, and curriculum developer, Susan is dedicated to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Retrato de una mujer caucásica sonriente con cabello rubio corto, involucrada en un podcast sobre la ciencia de la lectura, con gafas, lápiz labial rojo y un collar de perlas.

Quotes

“These are real stories about children living their [lives] unable to read. It’s not data. They’re telling you they’re in a situation of incarceration and they’ve figured that their life is over as a result of not being taught in school.”

—Hilderbrand Pelzer III

Literacy Essentials, Episode 4

Science of Reading Essentials: The science of learning

On this Science of Reading Essentials episode, we're taking a deeper dive into the science of learning to explore how memory, cognitive load, and knowledge building can transform your literacy instruction. On this synthesis episode, host Susan Lambert, Ed.D., weaves in the insights of our expert guests—Natalie Wexler; Nathaniel Swain, Ph.D.; Hugh Catts, Ph.D.; Daniel Willingham, Ph.D.; Peter C. Brown; Jamey Peavler, Ed.D.; and David Rapp, Ph.D. With their insights, Susan reflects on how memory works and why understanding its processes is foundational to effective teaching; why cognitive load theory and background knowledge are game-changers for literacy instruction; and which evidence-based strategies—like retrieval practice, spaced repetition, and mixed practice—make learning stick.

Meet Our Guest(s):

Portrait of a woman with short, curly blonde hair, light skin, and a white top, looking at the camera with a neutral expression—an image that could illustrate modern perspectives in literacy instruction or the science of learning.

Natalie Wexler

Natalie Wexler is the author of multiple books, including Beyond the Science of Reading: Connecting Literacy Instruction to the Science of Learning and The Knowledge Gap: The Hidden Cause of America’s Broken Education System—and How to Fix It; and is the co-author, together with Judith C. Hochman, Ed.D., of The Writing Revolution: A Guide to Advancing Thinking Through Writing in All Subjects and Grades. She has a free Substack newsletter called Minding the Gap, and she was the host of the Knowledge Comprehension podcast, Season 1. More information is available on her website, www.nataliewexler.com.

A man with short brown hair and a beard, wearing a light blue collared shirt, poses in front of a blurred background, reflecting his passion for reading comprehension and literacy instruction.

Nathaniel Swain, Ph.D.

Nathaniel Swain is a teacher, instructional coach, and writer. He produces a blog for teachers called Dr. Swain’s Cognitorium and is cohost of the Chalk Dust podcast with Rebecca Birch. Nathaniel works directly with schools and systems through an online learning platform called Luminary.

He founded a community of educators committed to the science of learning, called Think Forward Educators. He also has a best-selling book, Harnessing the Science of Learning: Success Stories to Help Kickstart Your School Improvement.

A bald older man with a white goatee and mustache, wearing a dark collared shirt, smiles at the camera against a plain gray background—exuding warmth often found in dedicated literacy instruction professionals.

Hugh Catts, Ph.D.

Hugh Catts’ research interests include the early identification and prevention of reading and disabilities. He is a former board member of the International Dyslexia Association and former president of the Society for the Scientific Study of Reading. He has received the Samuel T. Orton Award, the International Dyslexia Association’s highest honor, and the Honors of the Association award from the American Speech-Language-Hearing Association, for his career contributions in these disciplines. His current research concerns the early identification of reading and language difficulties and the nature and assessment of reading comprehension problems.

A bald man with red-framed glasses and a brown jacket stands in front of a brick wall, embodying the spirit of literacy instruction as he looks at the camera.

Daniel Willingham, Ph.D.

Daniel Willingham is a professor of psychology at the University of Virginia, where he has taught since 1992. Until about 2000, his research focused solely on the brain basis of learning and memory. Today, all of his research concerns the application of cognitive psychology to K–12 education. He is the author of several books, including the best-selling Why Don’t Students Like School? and Outsmart Your Brain. His writing on education has appeared in 23 languages. In 2017, he was appointed by President Barack Obama to the National Board for Education Sciences.

An older man with white hair and a beard, wearing a blue checked shirt, stands outdoors near a body of water with trees in the background, perhaps reflecting on reading comprehension or the science of learning.

Peter C. Brown

Peter C. Brown is a bestselling writer and novelist, retired from a career as a management consultant. He is the lead author of Make It Stick: The Science of Successful Learning. Make It Stick has been translated into 17 foreign languages and received international acclaim for changing the way we understand learning.

Jamey Peavler, Ed.D.

Jamey Peavler is a co-director of and full-time instructor in the Graduate Reading Science program at Mount St. Joseph University. Before joining Mount St. Joseph, Jamey served as director of training for the M.A. Rooney Foundation. In addition, she works for the National Council for Teacher Quality (NCTQ) as a higher-education textbook and teacher licensure reviewer. Her research interests include instructional design, the impact of spaced practice and interleaving to support effortful retrieval and retention of information, the role of oral language and syntactic awareness on comprehension and written expression, and foundational skills for supporting literacy in the early childhood setting.

A woman with long brown hair is smiling at the camera, surrounded by books and plants blurred in the background—a perfect scene for anyone passionate about reading comprehension and the science of learning.
A man with short gray hair, a beard, and glasses, known for his work in literacy instruction, is wearing a purple checkered shirt and smiling slightly against a plain white background.

David Rapp, Ph.D.

David Rapp is the Walter Dill Scott Professor of Education, Social Policy, and Psychology at Northwestern University. His research examines language and memory, focusing on the cognitive mechanisms responsible for successful learning and knowledge failures. This has included investigations into the influence of inaccurate information on comprehension, the evaluation of technologies that support formal and informal learning, and the iterative development of tools and curricula intended to support literacy. Rapps’ projects have been funded by the National Science Foundation, the U.S. Department of Education, the National Institute on Aging, and Meta.

Meet our host, Susan Lambert, Ed.D.

Susan Lambert is chief academic officer of literacy at Amplify and host of Science of Reading: The Podcast. Throughout her career, she has focused on creating high-quality learning environments using evidence-based practices. Lambert is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Lambert explores the increasing body of scientific research around how reading is best taught. A former classroom teacher, administrator, and curriculum developer, she’s dedicated to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Person with short blonde hair, glasses, and earrings, wearing an orange jacket, smiling in front of a plain gray background—committed to literacy education and fostering background knowledge for all learners.

Quotes

“To build a meaningful memory of something that you can hold on to and use, you have to think about it.”

—Hugh Catts

“Memory is a cognitive process. It's the way the brain encodes, stores, and retrieves information.”

—Susan Lambert

“You can't learn something new if it doesn't connect to something you already know.”

—Peter C. Brown

“The catch about writing is it's hugely important. It can help cement knowledge and long-term memory, deep knowledge, et cetera.”

—Natalie Wexler

“When we have knowledge in our long-term memory, all of these limitations suddenly disappear.”

—Nathaniel Swain

“We can only work with a limited set of information and when there's too much happening in our working memory, we experience cognitive overload. Essentially, our system is overloaded and we shut down.”

—Susan Lambert

“Essentially, memory is what enables us to retain knowledge, skills, and experiences, forming the foundation for all learning and cognition.”

—Susan Lambert

“The resonance model of comprehension suggests when someone asks a question, lots of ideas get activated automatically in memory.”

—David Rapp

“Your mind is very good at bringing up from memory the necessary facts, the facts that will help you given the context.”

—Daniel Willingham

“A lot of our students that are having difficulty are experiencing cognitive overload. So the first thing we need to think about is how are we gonna minimize that for them?”

—Jamey Peavler

Season 8, Episode 11

Cognitive load theory: Four items at a time, with Greg Ashman

Greg Ashman—author of multiple books including A Little Guide for Teachers: Cognitive Load Theory, deputy principal, and professor—sits down with Susan Lambert on this episode to discuss cognitive load theory and how it applies to how students learn and how to best teach them. Together their conversation covers cognitive load theory, including an exploration of working memory and long-term memory; intrinsic load and extraneous load; biologically primary vs. biologically secondary knowledge; and how to apply these concepts in the classroom. Ashman also provides listeners with helpful advice on ensuring their teaching practices are based on evidence.

Meet Our Guest(s):

Greg Ashman, Ph.D.

Greg Ashman, Ph.D.

Greg Ashman, Ph.D., is the deputy principal at Ballarat Clarendon College, Victoria. He is an honorary fellow at the Australian Centre for the Advancement of Literacy, Australian Catholic University, and a part-time professor at Academica University of Applied Sciences, Amsterdam. Greg is a prolific writer and has written three books: The Truth About Teaching: An Evidence-informed Guide for New TeachersThe Power of Explicit Teaching and Direct Instruction, and A Little Guide for Teachers: Cognitive Load Theory. He also produces a newsletter at fillingthepail.substack.com. Prior to moving to Australia, Greg worked at three government schools in London as a teacher, head of science and deputy principal.

Meet our host, Susan Lambert

Susan Lambert is the Chief Academic Officer of Elementary Humanities at Amplify, and the host of Science of Reading: The Podcast. Her career has been focused on creating high-quality learning environments using evidence-based practices. Lambert is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Lambert explores the increasing body of scientific research around how reading is best taught. As a former classroom teacher, administrator, and curriculum developer, Lambert is dedicated to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Retrato de una mujer caucásica sonriente con cabello rubio corto, involucrada en un podcast sobre la ciencia de la lectura, con gafas, lápiz labial rojo y un collar de perlas.

Quotes

“I now know I shouldn't have felt guilty, but I also know that I could have taught that from the outset in a much more structured way where the students would have left understanding the concepts better without wasting time.”

—Greg Ashman

“I now know I shouldn't have felt guilty, but I also know that I could have taught that from the outset in a much more structured way where the students would have left understanding the concepts better without wasting time.”—Greg Ashman “This idea that kids don't need to know anything anymore, they just need to practice skills is really quite a pernicious and damaging idea.”

—Greg Ashman

“Think about the teaching methods that you're being presented with. Ask about the evidence and question whether this is really the optimal way of teaching literacy or whatever it is, or whether it's more based on wishful thinking.”

—Greg Ashman