By the IM Team Welcome to the 2024–2025 school year! As we gear up for another exciting year of learning and growth, Illustrative Mathematics is here to support you every step of the way. This year, we are more committed...
By the IM Team And just like that, school is back in session! Whether you are implementing the IM curriculum for the first time or getting a fresh start as you experience year two or three, the beginning of the year is the...
By the IM Team As summer winds down, we understand that you are not rushing toward the finish line of your summer break. Hopefully, there have been many lazy days, trips or adventures, and time spent with family and...
How do you get ready for a new school year? There is a lot to do, physically and emotionally. We hope you start the 2022–23 school year feeling rested, rejuvenated, and prepared. To support you, we have curated a collection...
By the IM Team Educators still face a great deal of uncertainty heading into the 2021–22 school year. Maybe you’ve already started planning for it. Maybe you’ve avoided planning for it. Maybe your school year has already...
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...
2022 was a remarkable year of growth and achievement at IM. Our employees are energetic, inspired, and committed to our vision of a world where all learners know, use, and enjoy mathematics. I couldn't be more proud of what...
Last year, we put together some reading to help people get started planning their year with IM 6–8. Now, we have another year’s worth of blog posts to choose from, plus a shiny, new high school curriculum! So once again,...
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...
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....
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...
By Kristin Gray, Director K–5 Curriculum and Professional Learningand Kevin Liner, IM K–5 Professional Learning Lead It is overwhelming to think about how teaching and learning will look in the fall. The uncertainty of the...
Catherine Castillo, Sr. Implementation Specialist Claire Neely, Sr. Implementation Specialist "...[I]nstructional capacity for producing meaningful student learning is a function of the interactions among teachers’...
Catherine Castillo, Sr. Implementation Specialist Claire Neely, Sr. Implementation Specialist “Given the critical role that school leaders play in supporting the development of coherent instructional systems at the school...
Anita Crowder, PhD, Senior Director of Impact Research Kathleen Whittle, Cofounder Teachineers “The only way to learn mathematics is to do mathematics.” – Paul R. Halmos STEAM (science, technology, engineering, art, and...
By Bill McCallum, IM CEO and cofounder As CEO and cofounder of Illustrative Mathematics, Bill McCallum shares his reflections from the 56th Annual NCSM Conference and NCTM’s 2024 Annual Meeting & Exposition in Chicago,...
Jennifer Wilson, Senior Director, Implementation Portfolio When teachers are curious about and trust student thinking to drive learning, they create classrooms where students learn mathematics by making sense of problems,...
By Tori Cole, Specialist, IM Certified Facilitator Timesha Brooks, Specialist, Math Client Support Engaging Reluctant Math Students Have you encountered students who are reluctant to engage in math? Students who have...
By Claire Neely, Senior Implementation Specialist Illustrative Mathematics’ redesigned IMplementation Reflection Tool (IRT) is a powerful, non-evaluative resource intended to shape the way your school adopts and implements...
By Meredith Dadigan Abel, K-5 IM Certified® Facilitator When teachers come back from summer break, there is a magical feeling in the air. For me, it’s like the feeling that accompanies the first snowfall of the season....
By Jen Hawkins, IM Certified® Facilitator and Independent Curriculum Implementation Specialist As I sat at the table in the back of the room, I watched the teacher reveal an image connected to the lesson’s warm-up. She told...
By Dr. Catherine Castillo, Sr. Specialist, Implementation Portfolio Are you leading IM implementation at your school or district and want to ensure an organized and thoughtful rollout? With the upcoming launch of IM® v....
By Dr. Elisabeth O'Bryon, Chief Impact Officer and Co-Founder of Family Engagement Lab and Toka Hussein, K-5 Curriculum Specialist at Illustrative Mathematics Illustrative Mathematics (IM) and Family Engagement Lab (FEL)...
By Meredith Dadigan Abel, K-5 IM Certified Facilitator When teachers and students come back from spring break, spring fever is in the air, and classroom routines may falter. While teachers have spent the entire year setting...
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...
By Brea Jimenez, Specialist, Facilitator Certification and Quality Assurance and April Mouton, Senior Director, Access, Content & Equity IM believes in a world where all learners know, use, and enjoy mathematics. We...
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....
By William McCallum, IM CEO You asked, we listened, and now, we are preparing to deliver! I am excited to tell you today about our new curriculum, IM 360, which was developed based on your thoughtful feedback. IM 360 is the...
By Adrienne Baytops Paul, Math Specialist, UnboundEd, COO of My Mathematical Mind, and former Middle School Teacher The 14 Practices of Peter Liljedahl’s Building Thinking Classrooms (BTC) complement the Illustrative...
By Dionne Aminata, IM Senior Director, Strategic Initiatives As a fully remote organization, the IM team gets a lot done working behind the screens. Now, with IM K–12 Math in full swing, many of us are stepping away from...
By Dr. LaToya Byrd, IM Senior Director, Professional Learning Implementation and Talent The excitement is building. Can you feel it? Conference season is almost here! Math conferences create opportunities for educators to...
By Eric Partridge, IM Certified® Facilitator I don’t have many memories from elementary school. The one memory I have from elementary math is from playing Around the World. The object of this game was to answer a...
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,...
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...
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...
Dionne Aminata, Senior Director of Strategic Initiatives, Marketing, Illustrative Mathematics Rolanda Baldwin, Vice President of Mathematics, UnboundEd Illustrative Mathematics and UnboundEd both agree that achieving racial...
Members of the Illustrative Mathematics team recently attended two national conferences for math educators: NCSM (Sept 26–28, 2022) in Anaheim, CA, and NCTM (Sept 28–Oct 1, 2022) in Los Angeles. We enjoyed meeting so many...
By Tina Cardone Geometry class can feel like word salad, with a heavy sprinkling of notation on top. Students need to both process and produce mathematical language in the vast majority of the tasks they work on. Here is a...
“Any time we go to the next unit I'm looking for what we can use, tweak, modify, build off of. Everyone is always checking the hub—it has saved us so much time in terms of planning this year.” “It made my ability to support...
By Liza Bondurant, IM Certified® Facilitator/Associate Professor Do you spend hours hunting down materials for your lesson plans? How can you be sure the materials are aligned to your standards? How can you make your lesson...
By IM Professional Learning Team How do we attend to unfinished teaching and learning, while attending to grade-level expectations? Algebra 1 is often called a “gatekeeper.” Successful completion of Algebra 1 unlocks...
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...
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...
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...
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...
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...
By the IM Team In a class of 25 students, there are 25 different learners with 25 different backgrounds. Students come into the classroom with varied experiences with school, with mathematical content, and with life. While...
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...
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...
By Maureen D. O’Connell, IM K–5 Math™ Pilot Teacher,IM Certified® Facilitator for IM K–5 Math “The more intensely interested a teacher is in a student’s thinking, the more interested the student becomes in his or her own...
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...
By IM Certified Facilitators, Cheryl Fricchione and Rachel Rundstrom Consider this:A child whose primary language isn’t English does not participate in the classroom to the degree that their English-speaking peers do....
By Elisabeth O’Bryon, co-founder and Chief Impact Officer at Family Engagement Lab and Megan Lorio, Managing Editor at Family Engagement Lab Engaging families in meaningful and equitable ways is a cornerstone of student...
By Maureen D. O’Connell, Math Specialist Some math tools and representations help students solve in-the-moment problems. Other math tools and representations help students solve problems and grow their conceptual...
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...
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...
By Michael Ramirez, Director of Instructional Coaching, Partnership for Los Angeles Schools “Whenever students are being helped to see major concepts, big ideas, and general principles and are not merely engaged in the...
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...
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...
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...
By Dionne Aminata, Grade 2–5 Lead Writer and Sarah Caban, Grade 5 Lead WriterWhen do students practice their math facts? How is math fluency assessed?”—current and prospective IM K-5 Math™ teachers everywhere We appreciate...
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...
By Danielle Seabold All students can be successful in mathematics. For most mathematics educators, we lean into this. We believe that all students can learn mathematics, that they can be successful. However, as we focus our...
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...
By Dionne Aminata “We are striving to . . . compose a country committed to all cultures, colors, characters, and conditions of man. And so we lift our gazes not to what stands between us, but what stands before us.” Poet...
By Jennifer Willson, Director, 6–12 Professional Learning Design In my role at IM, working with teachers and administrators, I am asked to help with the challenges of implementing an IM curriculum. One of the most common...
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....
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...
By Ashley Powell and Moniquea Willingham The excitement and nervousness in the room was almost palpable! There were approximately forty facilitators present for the 3-day IM K–5 Curriculum training in Dallas, Texas. We...
By Maureen D. O'Connell “Slow down, you’re moving too fast, you got to make the morning last...” When we consider early childhood mathematics this familiar song comes to mind. In our hurried society where more is more,...
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...
By Lorie Banks Trying to plan for the 2020–2021 school year has been like trying to fly the airplane while building the wings. I am a career educator—a middle grades math teacher in an urban district in Western...
by Janaki Nagarajan How can we best do mathematics together in an online environment? When school suddenly shifted online last spring, I found myself overwhelmed by the learning curve for new technologies—for both myself...
by LaToya Byrd and Jenna Laib School looks different this year. It’s easy to focus on the changes that will need to be made—the new practices, the new routines, the new technologies—but we must first focus on our central...
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...
By Jennifer Wilson and Liz Ramirez We want to acknowledge that we are all in different situations that shape how we respond to the call to adapt our teaching to fit a model for distance learning. This impacts the access we...
By David Petersen, Lead Curriculum Writer and Kate Nowak, Director of K–12 Curriculum Strategy This school year has been strange and stressful, and there is uncertainty about what next year will look like. Due to school...
By Liz Ramirez Which students are experiencing success in today’s “distance learning”? What barriers do other students face? While virtual learning platforms have made it possible for some live instruction to continue...
By Dionne Aminata Before I joined the K–5 curriculum writing team at IM, I was a K–8 regional math content specialist for a public charter organization that largely consisted of Title I schools, or schools receiving federal...
“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...
“What I find distinguishes IM is that IM Certified Facilitators are uniquely supported by the IM authoring team to ensure the integrity of the curriculum remains intact.” By Kiana Porter-Isom I was always interested in...
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...
“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...
Does the perfect elementary math curriculum exist? Armed with a growth mindset and the Alpha IM K–5 curriculum, teachers in Ipswich Public Schools push their thinking to reach all mathematicians. By Maureen D. O’Connell I...
We want students to think about math deeply. Creatively. Analytically. Instead, what often happens is that students race towards quick solutions. So what can we do to support this other kind of thinking in class—the slow,...
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...
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...
“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...
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...
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...
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...
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...
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,...
By Greta Anderson & Patti Drawdy, IM Certified Facilitator I read the lesson three times through, but was still unsure why the number line below shows $3 - 7$. My aha moment arrived courtesy of the grade 1 standards....
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...
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...
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...
“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...
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...
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...
By Melissa Greenwald You know it is time for a change when half of the students in class are lost by the third lesson of a new unit. I teach third grade in a charter school in Philadelphia. We use Go Math! and each year I...
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...
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...
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...
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...
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...
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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