6–8 Math

Vocabulary Decisions

By Bowen Kerins A wide-ranging team worked together to develop the Illustrative Mathematics Grades 6–8 Math curriculum. Many of the authors were and are experienced teachers of Grades 6–8, while others are experienced high school teachers. My own experience is as a...

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Not all contexts have the same purpose

Not all contexts have the same purpose

By Nik Doran We sometimes use familiar contexts to understand new mathematical ideas, and sometimes we use familiar mathematical ideas to understand what is going on in a context. We do both of these things by looking for parallels between the familiar and unfamiliar...

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Info Gap Cards: The Hidden Gem

Info Gap Cards: The Hidden Gem

By Sadie Estrella May 2016 seems so long ago. I actually had to look it up on a calendar because I really thought it was more than 1.41666years ago. That was when I officially started this journey with Illustrative Mathematics. Our kickoff meeting was in Chicago....

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Respecting the Intellectual Work of the Grade

Respecting the Intellectual Work of the Grade

By Kate Nowak A thing that I think we did really well in Illustrative Mathematics 6–8 Math was attend carefully to really deep, important things that adults that already know math can easily overlook. For example, what does an equation mean? What does it...

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Assessment Principles in Illustrative Mathematics 6-8 Math

Assessment Principles in Illustrative Mathematics 6-8 Math

By Bowen Kerins A wide-ranging team worked together to develop the Illustrative Mathematics Grades 6-8 Math curriculum. As Assessment Lead, it was my responsibility to write and curate the Shared Understandings document about assessments we used throughout...

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Reflection & Discussions in Grade 8, Part 1

Reflection & Discussions in Grade 8, Part 1

By Ashli Black Woo, blogging! As I start work on high school curriculum, I thought I would go back and revisit the grade 8 units that I’ve spent the past 18 months working on and share some of my favorite things. This gives me a chance to think about what sorts of...

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Fraction division part I: How do you know when it is division?

Fraction division part I: How do you know when it is division?

By William McCallum and Kristin Umland In her book Knowing and Teaching Elementary Mathematics, Liping Ma wrote about this question and how teachers responded to it: Write a story problem for $1 ¾ \div ½$. [Pause here and think about the answer yourself.] Many people...

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Truth and consequences: talking about solving equations

Truth and consequences: talking about solving equations

By William McCallum The language we use when we talk about solving equations can be a bit of a minefield. It seems obvious to talk about an equation such as $3x + 2 = x + 5$ as saying that $3x+2$ is equal to $x + 5$, and that's probably a good place to start. But...

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Misconceptions about Multiple Methods

Misconceptions about Multiple Methods

By William McCallum You may have noticed that I am back to publishing regular blog posts! My goal for now is a blog post every second Wednesday. I am now also trying to answer forum questions promptly. I want to thank the readers who took up the slack for the last...

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