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Thoughts on the Back-to-School Problem

Thoughts on the Back-to-School Problem

By William McCallum One of the consolations in these difficult times has been tweets and Youtube videos of parents discovering just what it takes to be a teacher. Maybe it takes a crisis like this to restore the respect...

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IM Preparing for the School Year

IM Preparing for the School Year

There are always so many things to do in preparation for a new school year.  At this point of the summer, to-do lists start getting made, materials get purchased, rooms are organized, and math class planning begins....

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Building a Supportive Home/School Partnership

Building a Supportive Home/School Partnership

By Kristin Gray, Jenna Laib, Sarah Caban Open House. Back-to-School Night. Family Welcome. Math Night. No matter what the name of the event that launches the school year, family members will arrive at your school with the...

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Elements of Problem-Based Teaching and Learning

Elements of Problem-Based Teaching and Learning

By Max Ray-Riek, Senior Director, Teacher Professional Learning Our vision at IM is a world where all students know, use, and enjoy mathematics. Educators in our IM Community work toward this vision in classrooms day after...

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IM Kickoff Message for 2024

IM Kickoff Message for 2024

A Look Back and a Look Ahead By Bill McCallum, IM Co-Founder and CEO Hello there, and welcome to 2024! I hope that you have had time to relax and recharge in preparation for all of the excitement that this year will bring....

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Unit 9 in IM Grades 6–8: Hidden Gems

Unit 9 in IM Grades 6–8: Hidden Gems

By Lisa Matthews, IM Certified® Facilitator and PL Specialist Team for Grades 6–12 The IM curriculum is so thoughtfully designed and written that even those of us who have spent years with IM often find content that is new,...

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Co-Creating an Authentic Math Community

Co-Creating an Authentic Math Community

By Meredith Dadigan Abel, IM Certified® Facilitator It is magical to be in a classroom with a strong math community. In this classroom, the brilliance of all students prevails. Students and teachers share a unanimous belief...

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Exploring Ratio Reasoning with Student Work

Exploring Ratio Reasoning with Student Work

By Tashana Howse, IM Certified® Facilitator The relationship between fractions, ratios, and proportions is introductory to students' development of the study of Algebra. Therefore, it is important for students to engage in...

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Two Recommendations to Elevate Instruction

Two Recommendations to Elevate Instruction

By Kate Nowak, IM Vice President of Curriculum Development and Portfolio “The more intensely interested a teacher is in a student’s thinking, the more interested the student becomes in his or her own thinking.”—Eleanor...

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Math Language Routines: Discourse with a Purpose

Math Language Routines: Discourse with a Purpose

By Dr. Kristen Taylor, IM Certified® Facilitator  Math teachers can talk all day about math! We get super excited when we encounter someone else who enjoys these conversations as well. But too many of our students don't get...

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The Story of Grade 1

The Story of Grade 1

By Brianne Durst Grade 1 teachers have the awesome responsibility of introducing their students to, and helping them build an understanding of, the structure of our number system. This is no small task! Just think about how...

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A Thread Through Early Algebra 1

A Thread Through Early Algebra 1

By David Petersen, 6–12 Curriculum Specialist andAshli Black, Director, 6–12 Curriculum The Algebra 1 course in IM 9–12 Math™ begins with a unit on one-variable statistics, a choice that many find surprising. Why start with...

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Revisiting Distance Learning with IM K–12 Math™

Revisiting Distance Learning with IM K–12 Math™

With the surge of the Omicron variant, many schools are moving back to distance learning. Although we may not be excited to leave our classrooms again, we are better prepared for distance learning this time around. Most, if...

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In the Beginning: Unit 1 in Kindergarten

In the Beginning: Unit 1 in Kindergarten

By Alex Clayton When was the last time you stepped into an entirely new environment? You weren’t sure exactly what was going to happen. There was no one you recognized. How did you feel: Uncertain? Anxious? Hopeful? During...

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Remembering Bob Moses

Remembering Bob Moses

By William McCallum and Kristin Umland "Math literacy will be a liberation tool for people trying to get out of poverty and the best hope for people trying not to get left behind.” —Bob Moses, 1935–2021 Bob Moses, the civil...

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Gifts: A Reflection on Student Thinking

Gifts: A Reflection on Student Thinking

By Elham Kazemi, Co-Author of Intentional Talk and Professor at University of Washington  “Gifts from the earth or from each other establish a particular relationship, an obligation of sorts to give, to receive, and to...

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Multi-grade Classrooms and  IM K–5 Math™

Multi-grade Classrooms and
IM K–5 Math™

By Jen Hawkins, IM Facilitator and IM K-5 Product Specialist Illustrative Mathematics believes that students can achieve success as mathematical thinkers by working through problems and consolidating their learning through...

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Introducing the IM Implementation Reflection Tool

Introducing the IM Implementation Reflection Tool

by Liz Ramirez, Director of Implementation “This makes the expectations for what I need to change visible.” “It’s not about the tool. It’s about the conversation using the tool.” Quotes from leaders who participated in IM’s...

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A Love for Math Reignited

A Love for Math Reignited

By Michael Ramirez, Senior Coordinator of School Transformation, Elementary Math When I began school as a kindergartener, I absolutely adored math. As a lower elementary school student, I remember relatives asking me what...

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IM K–5 Math: An End and a Beginning

IM K–5 Math: An End and a Beginning

By William McCallum On March 20, 2015, I received the following email: Thank you for submitting your proposals to the K–12 OER Collaborative. We are pleased to advise you that Illustrative Mathematics has been selected as a...

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Culturally Responsive Teaching and Math

Culturally Responsive Teaching and Math

By Asya Howlette, Director of Mathematics and Science at Thurgood Marshall Raise your hand if you have been perplexed by professional learning that told you your class needs to be culturally responsive, but left you...

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What does it mean to enjoy mathematics?

What does it mean to enjoy mathematics?

By William McCallum When I started this series of blog posts on what it means to know, use, and enjoy mathematics, I thought this one would be the easiest. Math is fun, right? How could you not enjoy mathematics? I...

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A Circumference By Any Other Name…

A Circumference By Any Other Name…

By Becca Phillips You can’t tell a child “there’s no such thing as monsters” because, well, then, why is there a word for it? I was given this advice when my own daughter was an infant, but I’ve thought a lot about it over...

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What Does It Mean to Use Mathematics?

What Does It Mean to Use Mathematics?

By William McCallum Our vision at Illustrative Mathematics is a world where all learners know, use, and enjoy mathematics. In my last post I picked up that first verb and talked about what it means to know mathematics. In...

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Growing with the IM Community Hub

Growing with the IM Community Hub

By Portia Gibbs Roseboro, Britnee Wright, Justin Brennan The IM Community Hub, affectionately known as “The Hub,” was created to support educators using the IM Curriculum in navigating what teaching looks like now....

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What does it mean to know mathematics?

What does it mean to know mathematics?

By William McCallum A world where all learners know, use, and enjoy mathematics. Perhaps the most mysterious verb in the IM vision—a world where all learners know, use, and enjoy mathematics—is the first one: know.  Knowing...

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Making Sense of Story Problems

Making Sense of Story Problems

by Deborah Peart, Grade 2 Lead Many people have an aversion to word problems. They cringe at the mention of them. In elementary classrooms, teachers often report that this is what their students struggle with most. When...

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Equitable Teaching Practices in IM 6–12 Math

Equitable Teaching Practices in IM 6–12 Math

by Tina Cardone The vision of Illustrative Mathematics is to create a world where learners know, use, and enjoy mathematics. This raises the question: Which learners? And what role do the authors of a curriculum play in...

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The Art of Reflection

The Art of Reflection

“In times of stress, the best thing we can do for each other is to listen with our ears and our hearts and to be assured that our questions are just as important as our answers.” —Mr. (Fred) Rogers By Kaneka Turner We are...

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Learning through Teaching

Learning through Teaching

By William McCallum I was in New Orleans a couple of weeks ago visiting a school using IM 6–8 Math and was inspired by the efforts the school was making to implement problem-based instruction. I saw teachers at different...

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Building a Math Community with IM K–5 Math

Building a Math Community with IM K–5 Math

“I’m not sure this is working. Only five of my students are participating and commenting each day. The rest sit there and look at me.” By Tabitha Eutsler This was my conversation with our math coordinator after my first few...

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Making Authentic Modeling Possible

Making Authentic Modeling Possible

The first thing you have to understand is that asking people to model with mathematics makes them mad. Not in all contexts, though! At a social gathering with a generally amiable and curious group of people, you might try...

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Co-Creating Classroom Norms with Students

Co-Creating Classroom Norms with Students

Establishing norms is critical to creating an environment where all students see themselves as knowers and doers of mathematics. Reflecting on the Illustrative Mathematics mission statement, Creating a world where learners...

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First Impressions: The First Units in IM K–5 Math

First Impressions: The First Units in IM K–5 Math

“I've learned that people will forget what you said, people will forget what you did, but people will never forget how you made them feel.” Maya Angelou  By Kristin Gray When I think back to my 8th grade math class, I...

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Introducing IM Certified 9–12 Math

Introducing IM Certified 9–12 Math

IM Algebra 1, Geometry, and Algebra 2 courses are now available to all. Alright, folks, this is not a drill: IM 9–12 Math is now available to all. By Ashli Black So now what? To help folks dive into the curriculum, we’ve...

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Making Peace with the Basics of Trigonometry

Making Peace with the Basics of Trigonometry

Six months ago, I hated trigonometry. By Becca Phillips In fact, when my daughter missed a week of school, she announced on her first day back, “Someone has to teach me trig because I missed the whole thing.” Her father...

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Rigor in Proofs

Rigor in Proofs

By Tina Cardone, Geometry Lead, & Gabriel Rosenberg, Curriculum Writer There is no doubt that proof plays a central role in the human endeavor of mathematics, but there remains much debate on what role it should play in...

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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...

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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,...

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IM K-5 Math: Designing for Each Student

IM K-5 Math: Designing for Each Student

By Noelle Conforti Preszler and Kristin Gray In the following activity, think about the students in your classroom. How might each respond? What do you notice? What do you wonder? This activity is the drafted warm-up of the...

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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...

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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...

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Engaging All Students in Meaningful Mathematics

Engaging All Students in Meaningful Mathematics

“At the end of the day, this wasn’t about focusing on the objective, it was about making the objective meaningful to him.” The work of teaching is both invigorating and challenging. We want to instill a love of math and...

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Time to Noodle

Time to Noodle

By Kate Nowak This task is the first part of the culminating lesson of unit 2 in grade 8, which is about dilations and similarity. (You will need to create a free teacher account to open the link.) It is a variation on the...

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What is an instructional routine?

What is an instructional routine?

By William McCallum and Kate Nowak People use routines for all kinds of things. Routines give structure to time and interactions. People like structure. When a child comes home from school, there might be a routine. She...

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Warm-up Routines With a Purpose

Warm-up Routines With a Purpose

By Kristin Gray As a teacher, curiosity around students’ mathematical thinking was the driving force behind the teaching and learning in my classroom. To better understand what they were thinking, I needed to not only have...

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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...

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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...

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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...

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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...

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The Structure is the Standards

The Structure is the Standards

Co-authored by Bill McCallum, Jason Zimba, Phil Daro You have just purchased an expensive Grecian urn and asked the dealer to ship it to your house. He picks up a hammer, shatters it into pieces, and explains that he will...

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