9–12 Math

Presenting IM Algebra 1, Geometry, Algebra 2

Presenting IM Algebra 1, Geometry, Algebra 2

By Kate Nowak When I was teaching high school mathematics, my local colleagues and I spent a whole lot of time creating problem-based lessons. We were convinced that this style of instruction was a good way to learn, but the textbooks in use at our school simply...

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How do you start the year?

How do you start the year?

By Ashli Black, Algebra 2 Lead Students need a chance at the beginning of the year to shake off the summer dust. Learn how IM's curricular design builds in opportunities for review while starting the year with inviting, grade-level mathematics. One of the things I...

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What is Problem-based Instruction?

What is Problem-based Instruction?

By William McCallum When I was a child, I used to get puzzle books out of the library. One of the puzzles was the twelve-coin problem, the most difficult of all coin weighing problems. My mother and I worked on it separately at the same time, and she solved it first....

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Extra Supports for Algebra 1: The Gateway Resources

Extra Supports for Algebra 1: The Gateway Resources

By Sadie Estrella Illustrative Mathematics’ high school curriculum is scheduled to be released this summer. This is an exciting time for Algebra 1, Geometry, and Algebra 2 teachers. I honestly am ready to take a job at a school just to have the opportunity to teach...

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Realizing the promise of open resources

Realizing the promise of open resources

By William McCallum All of our curriculum here at Illustrative Mathematics is released under a Creative Commons Attribution (CC-BY) license, which allows anyone to "copy and redistribute the material in any medium or format" and to "remix, transform, and build upon...

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Truth and Consequences Revisited

Truth and Consequences Revisited

By William McCallum What are extraneous solutions? A while ago I wrote a blog post about solving equations where I talked about seeing the steps in solving equations as logical deductions. Thus the steps \begin{align*}3x + 2 &= 5\\3x &= 3\\x &= 1\\...

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The Power of Noticing and Wondering

The Power of Noticing and Wondering

My first years of teaching, I worried my students looked at me much like Ben Stein as the teacher in Ferris Bueller’s Day Off. I cringe to think about the series of monotonous and leading questions I strung together to a room of dazed students slowly wilting in front...

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Proof in IM’s High School Geometry (A Sneak Preview)

Proof in IM’s High School Geometry (A Sneak Preview)

Supporting high-school students to write detailed, precise proofs is challenging. Learn about some of the design elements that IM used to invite students to a deep exploration of proof. In IM’s high school Geometry curriculum, students are asked to engage in the proof...

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Planning for Meaningful Practice

Planning for Meaningful Practice

There is no shortage of available math resources for teachers to use in their classrooms. The difficult and time-consuming job for teachers is weeding through all of the tools to decide which best supports students in learning mathematics. It is a difficult job...

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