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A Fraction Unit Does Not Always Begin With Lesson 1

A Fraction Unit Does Not Always Begin With Lesson 1

By Jared Gilman As I sat down at my local coffee shop to plan my upcoming 5th grade unit on fractions, a wave of dread spread across my body. I started having flashbacks to last winter, when my students’ frustrations with fractions led to daily meltdowns. Looking back...

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Why is the graph of a linear function a straight line?

Why is the graph of a linear function a straight line?

By William McCallum In my last post I wrote about the following standard, and mentioned that I could write a whole blog post about the first comma. 8.F.A.3. Interpret the equation $y = mx + b$ as defining a linear function, whose graph is a straight line; give...

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Why We Don’t Cross Multiply

Why We Don’t Cross Multiply

By Kate Nowak (co-authored with Kristin Gray) “Ultimately, the goal of this unit is to prepare students to make sense of situations involving equivalent ratios and solve problems flexibly and strategically, rather than to rely on a procedure (such as “set up a...

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The Illustrative Mathematics Team Reflect on the 5 Practices

The Illustrative Mathematics Team Reflect on the 5 Practices

The entire Illustrative Mathematics team spends a lot of time reading about teaching and learning. Most recently, we have been reading—some of us rereading—and reflecting on the 5 Practices for Orchestrating Productive Mathematics Discussions by Mary Kay Stein and...

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Using the 5 Practices with Instructional Routines

Using the 5 Practices with Instructional Routines

By Robin Moore As a coach, how can I help teachers structure their lesson-planning in order for students to unpack their mathematical understandings? This question is always at the forefront of my mind as I reflect on my work as an instructional coach. Most times, I...

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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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How the 5 Practices Changed my Instruction

How the 5 Practices Changed my Instruction

By Alicia Farmer I am the type of teacher you want on your teaching team. I am the person that can remember vast amounts of details, predict potential obstacles, and meet any and all deadlines.   My organized personality is apparent everywhere in my classroom.  From...

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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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Welcome to the new Illustrative Mathematics blog!

Welcome to the new Illustrative Mathematics blog!

In continually moving forward with our vision of creating a world where learners know, use and enjoy mathematics, the Illustrative Mathematics team is so excited to announce the launch of our official blog! Our blog will be a space where our math community of learners...

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