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 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 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 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 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 Brea Jimenez, Specialist, Facilitator Certification and Quality Assurance and April Mouton, Senior Director, Access, Content & Equity Special education is intended to provide bridges between challenges and triumphs...
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...
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....
In her interview with Yitzi Weiner for Authority Magazine, Odalis Amparo (Illustrative Mathematics’ Professional Learning Specialist) emphasizes the significance of culturally responsive and equitable mathematics education....
Anita Crowder, Director of Impact at Illustrative Mathematics, reimagines math education by emphasizing the importance of students' own experiences and existing knowledge. She challenges the traditional view of students as...
By April Mouton, Senior Director, Access, Content & Equity and Brea Jimenez, Specialist, Facilitator Certification and Quality Assurance The Gradual Release of Responsibility approach to learning mathematics—I do, we...
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 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 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 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...
By Courtney Ortega, IM Certified® Facilitator Learning takes time. Students make connections, deepen their understanding, and address misunderstandings. It can make the learner feel vulnerable. “When we learn, we actively...
By William McCallum, IM CEO Here at IM we are excited by and proud of the reception IM K–12 Math™ is getting. As more and more districts adopt it, we are thinking about how to support them. What are the next steps? Our...
By Courtney Ortega, IM Certified® Facilitator I was recently in a meeting where a participant declared, “Grade 8 and Algebra 1 basically have all the same standards.” Have you ever wondered this yourself? Have you heard...
By Lizzy Skousen, 6–12 Curriculum Writer, IM Certified® Facilitator During a problem-based lesson, the teacher does a lot of listening while monitoring student learning. When teachers are introduced to a problem-based...
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...
By Joseph Koelsch, IM Certified® Facilitator “I’ve said it before: equations are the devil’s sentences. The worst one is that quadratic equation, an infernal salad of numbers, letters, and symbols.” - Stephen Colbert Did...
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 Joe Herbert “These problems are great, but they’re just so wordy. My students can’t handle all that reading!” Does this feel familiar? If so, you’re not alone! Many students and teachers struggle with the language...
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 Vanessa Cerrahoglu and Danielle Seabold, IM Certified® Facilitators Learners have brilliant mathematical ideas. How we teachers use IM 6–12 Math™ impacts how often students and teachers recognize this brilliance....
By William McCallum Last week, we had our first large-scale in-person event in quite a while, a training for new and returning facilitators in Baltimore, with over 110 facilitators and 13 employees attending. I gave a...
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 Vanessa Cerrahoglu and Danielle Seabold, IM Certified® Facilitators Illustrative Mathematics (IM) believes each student has brilliant mathematical ideas has experiences and ideas that are valuable can make sense of and...
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 William McCallum A few weeks ago, my wife and I took a 17-day rafting trip through the Grand Canyon. We descended through the layers of rock, from the 270 million year old Kaibab sedimentary layer of chert, dolomite,...
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...
2021 marks our 10th anniversary at Illustrative Mathematics, and we couldn’t be more proud to have impacted so many hundreds of thousands of students, teachers, and families since our humble beginnings in 2011. Our business...
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 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 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 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 Max Ray-Riek, Director of 6–12 Professional Learning In my role at IM, working with teachers and administrators, I am asked to help with the challenges of implementing an IM curriculum. We are often asked, “How can I...
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 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 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 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 William McCallum Newspapers are full of graphs, far more than 10 or 20 years ago. Indeed, I have a graph to show that! (Source, Priceonomics) And yet I wonder how often readers see graphs as pictures illustrating a...
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 Vanessa Cerrahoglu, Jennifer Wilson, and Liz Ramirez We envision creating a world where learners know, use, and enjoy mathematics. Knowing and using math goes beyond calculating and evaluating. We create purposeful...
by David Petersen and Kate Nowak In our previous post, we described how we are thinking about planning for next fall. We are also creating some new resources to support users of IM K–12 Math in the fall. Some of this is to...
By William McCallum I can't imagine what it must feel like right now to be a teacher facing the uncharted territory that is the coming school year. Will I be teaching 100% online, or have some face-to-face interaction with...
By Vanessa Cerrahoglu, Jennifer Wilson, and Liz Ramirez We envision creating a world where learners know, use, and enjoy mathematics. Knowing and using math goes beyond calculating and evaluating. We create purposeful...
By Jennifer Wilson and Liz Ramirez We envision creating a world where learners know, use, and enjoy mathematics. Knowing and using math goes beyond calculating and evaluating. We create purposeful opportunities for students...
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 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...
Some schools are sending home printed packets and establishing teacher office hours by phone. Some are conducting their regular class schedule, but online. And lots are doing something in between. We understand that it is...
We want to share our deepest gratitude for the work each of you has been doing to protect yourselves, your families, your students, and your school communities, as you face hard decisions about how to support students while...
First and most importantly, take care of yourself, your family, and your students. That might not look like doing math, or it might. To the extent that it’s useful, we have curated this list of resources recommended by our...
Here is a collection of links the content team here at IM has used with our own students and kids to start mathematical conversations, play math games together, explore new topics, come up with projects, and have fun. There...
By Jenna Laib and Kristin Gray Take a moment to think about the value of each expression below. $\frac{1}{4}\times \frac{1}{3}$ $\frac{1}{4}\times \frac{2}{3}$ $\frac{2}{4}\times \frac{2}{3}$ $\frac{3}{4}\times...
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...
By William McCallum I am sometimes asked what is the secret to the success of our curriculum, what is the special property that sets it apart from other curricula. That question is like the one in the title of this blog...
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,...
While families arrive with different school experiences and perspectives on what “doing math” means, they often share common questions: What do I need to know to set my child up for success in math this year? and How can I...
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...
This blog post is the fourth in a series of four blog posts exploring the student experience of problem-based learning. The first three posts are available here: (1) “How Do Students Perceive Problem-Based Learning?” (2)...
This blog post is the third in a series of four blog posts exploring the student experience of problem-based learning. The first two posts are available here: “How Do Students Perceive Problem-Based Learning?” and “Inviting...
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 William McCallum In my first post on the topic of realizing the promise of open educational resources, I described the IM Certified program. Our partners offer multiple versions, including a free online version and...
By William McCallum, IM President Big ideas are popular in mathematics education, and you can find many lists of big ideas on the web. Some are more thoughtful than others, and I can see how some might be useful for...
By Linda Richard, Curriculum Writer I used to teach my high school students a catchy song to memorize the distance formula. We all had fun goofily singing this song. My students hummed it to themselves during tests and...
By Kristin Gray, Director of K–5 Curriculum & Professional Learning One challenge in curriculum design is considering all we know and believe to be true about math teaching and learning and translating that into...
By Melissa Schumacher, Curriculum Writer Which is more important for students to have: conceptual understanding or procedural fluency? Does one have to be taught before the other can emerge? Some argue that procedure has to...
Illustrative Mathematics It was great to see so many of you at NCSM and NCTM in San Diego. If we missed you, or you weren’t able to attend, read our NCSM and NCTM round-up below. We enjoyed the conversations we had with...
By Kristin Umland,VP Content Development A great conversation I had with the IM elementary school curriculum writing team got me thinking: What is a measurable attribute? That is, when given an object, what can we measure...
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 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...
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...
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 +...
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...
NCTM has called for structural and curricular changes in high school mathematics. Learn about how IM's high school curriculum is aligned with the vision put forth by NCTM to end tracking, implement effective targeted...
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 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...
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 Anna Polsgrove When I first started the Math Methods course at University of California, Irvine, all of my ideas on how to learn math took a complete 180. During the first two months, a million questions swirled in my...
It was great to see so many of you at NCSM and NCTM. If we missed you, or you weren’t able to attend, read our NCSM and NCTM round-up below. We enjoyed the conversations we had with those of you that are using the IM 6–8...
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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