Math
Math
Mathematics
Discover free resources to keep K-12 students engaged in math, alongside specialized intervention and professional development websites to support your instructional planning.Resources for Math
Online Math Practice
AAA Math - Features a comprehensive set of interactive arithmetic lessons. Practice is available on each topic, which allows thorough mastery of the concepts. You can sort by grade level. K-8
Daily Math – Bedtime Math- Bedtime Math helps families introduce math as a fun part of their daily routine, like a beloved bedtime story.
GeoGebra - More than a set of free tools to do math. It’s a platform to connect enthusiastic teachers and students and offer them a new way to explore and learn about math.
Investigations Math Games - Inquiry-based bilingual math games.
Open Middle® - Challenging math problems worth solving - Challenge students with math problems that have an “open middle” with multiple ways to approach and solve the problem.
SolveMe Puzzles - Use logic to solve visual, interactive mathematical puzzles.
XtraMath - A 501(c)(3) nonprofit organization dedicated to math achievement for all. Our goal is to develop effective, efficient, adaptive, and intrinsically rewarding supplemental math activities.
Videos & Lesson Resources
Amplify Classroom - A collection of math, literacy, and science lesson content.
Inquiry Maths - Inquiry Maths is a model of teaching that encourages students to regulate their own activity while exploring a mathematical statement.
Math at the Core: Middle School from PBS Learning - Find engaging, standards-based media and integrated activities.
Math Learning Center | Free Lessons & Publications - Innovative and standards-based curriculum, resources, and professional development.
Math Lesson Plans | Teacher.org - Lessons ranging from elementary through high school and organized by grade are created by teachers from schools across the United States.
Math Resources | PBS Learning - From counting to data collection and analysis, explore resources for the K-5 math classroom.
Real World | NASA eClips Real World- Resources connecting classroom mathematics to 21st-century careers and innovations.
Virtual Nerd - Over 1,500 video lessons covering Middle Grades Math through Algebra 2.
Youcubed - A nonprofit organization offering free K-12 mathematics resources for educators and families.
Virtual Manipulatives & Simulations
Math | PhET Simulations - The PhET Interactive Simulations project at the University of Colorado Boulder creates free interactive math and science simulations. PhET sims are based on extensive education research and engage students through an intuitive, game-like environment where students learn through exploration and discovery.
National Library of Virtual Manipulatives - Concept activities for numbers & operations, algebra, geometry, measurement, and data analysis & probability leveled grades PreK-12.
Polypad – Virtual Manipulatives - Unleash your creativity with the world’s best virtual manipulatives! This mathematical playground is filled with unique tools that allow students to play and explore – and they’re completely free to use.
Virtual Manipulatives for Math | Didax - Virtual Manipulatives are a great way to enhance at-home learning. Simply drag the manipulatives into position to see math concepts come alive!
Math Instruction | CRA
Concrete-Representational-Abstract: Instructional Sequence for Mathematics | Pattan - The CRA instructional sequence/ approach provides a graduated, conceptually supported line of work to create meaningful connections among concrete, representational, and abstract levels of understanding. CRA is an intervention for mathematics instruction that research suggests can enhance the mathematics performance of students in a classroom.
Concrete Representational Abstract (CRA) in mathematics – mathematizing4all - CRA demonstrates procedures in mathematics using first manipulatives, then representation, and then using numbers only.
Concrete, Representational, Abstract (CRA) | Mathematics Hub - The Concrete, Representational (Pictorial), Abstract (CRA) model is based on Jerome Brunner’s theory of cognitive development: enactive (action-based), iconic (image-based) and symbolic (language-based).
CRA Math Addition/Subtraction Intervention — Math — for 2nd Grade | TeachShare - This resource focuses on mastering addition and subtraction within 20, using a concrete, representational, and abstract (CRA) approach. It guides students through three steps of learning new math skills: using physical tools like counters, drawing representations such as ten frames, and finally working with numbers and symbols.
CRA Method: Concrete-Representational-Abstract-What Is It And How To Use It - Made For Math - The CRA Method in math instruction stands for Concrete, Representational, and Abstract – three essential stages that form the foundation of effective math learning. Dive into each stage and explore how they work together to empower students’ mathematical understanding.
The CRA Sequence | Pattan - This video discusses what instruction looks like across a CRA sequence.
Empirically-Validated Mathematics Instruction for Grades K-5 | Ceedar Center
Handout #3 Concrete-‐‑to-‐‑Representational-‐‑to-‐‑Abstract (C-‐‑R-‐‑A) Instruction | Ceedar Center
How the CRA Model Bridges the Gap in Elementary Math - Concrete, Visual, Abstract - Implementing the CRA (Concrete, Representational, Abstract) approach helps students make connections that lead to deep and lasting understandings. This approach boosts problem-solving skills, reduces math anxiety, and makes learning more accessible.
Teaching Math with Multiple Representations ‖ Best Practice ‖ K-12 Math Instruction ‖ Project STAIR - Many students need to see math presented in a lot of different ways. Using a variety drawings and manipulatives can often help students understand complex and abstract math concepts. The CRA (Concrete-Representational-Abstract) model, as known as multiple representations, can be a powerful tool to help students who are struggling to understand what a math concept really means. This video demonstrates three different ways to represent numbers and math concepts, providing a guide to using multiple representations in your own classroom.
Using the CRA Framework in Elementary Math | Edutopia - Using the CRA framework can help to build a student-centered elementary math classroom grounded in evidence-based practices.
Virtual Lesson Example: Show Me the Number Using Base Ten Blocks | NCII - This lesson features a first-grade teacher at Ferris Intermediate in Ferris ISD in Texas. In the lesson, she illustrates how to use virtual manipulatives within a math lesson. These manipulatives allow educators and students to engage in the Concrete-Representational-Abstract approach without having the physical materials in front of them.
What Is the CRA Model in Math? A Guide to Concrete–Representational–Abstract Teaching - The CRA model is a research-based approach to teaching math that helps students move from hands-on exploration to abstract thinking through three stages: Concrete – Using physical tools and manipulatives; Representational (Pictorial/Semi Concrete) – Drawing pictures or diagrams; Abstract – Using numbers, symbols, and equations.
Professional Resources & Intervention Websites
10 Multisensory Techniques for Teaching Math | Understood.org - The use of sight, touch, hearing, and movement can make it easier to understand what numbers and symbols represent. These 10 multisensory techniques can help kids learn math.
Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools - This guide is designed to help teachers, principals, and administrators use Response to Intervention for the early detection, prevention, and support of students struggling with mathematics.
Center on Instruction - A collection of research-based resources on instruction. While these resources are useful for improving the achievement of all students, they particularly target students in the lowest-performing schools, students with difficulties learning mathematics, students needing intensive instruction, or special needs/diverse learners, including English language learners.
Developing Effective Fractions Instruction for Kindergarten Through 8th Grade | WWC - This practice guide presents five recommendations intended to help educators improve students’ understanding of fractions. Recommendations include strategies to develop young children’s understanding of early fraction concepts and ideas for helping older children understand the meaning of fractions and the computations involved. The guide also highlights ways to build on students’ existing strategies to solve problems involving ratios, rates, and proportions.
Math Curricula Archives - Open Up Resources - A non-profit publisher partnering with districts and schools to bring high-quality curriculum, professional learning, and peer communities to PK-12 classrooms.
Math Resources and Interventions for Students with Disabilities | NJDOE - A collection of resources that educators, families, and caregivers can utilize when teaching and supporting all learners. Find math-related activities, materials, and resources with which your students will engage by exploring the collection of resources below.
Math Intervention Course | New Jersey Center for Teaching and Learning - The Math Intervention course covers each K-8 domain. Use these materials to remediate learning loss or help students get ahead.
Mathematics Interventions | Education Northwest - Mathematics Interventions: What Strategies Work for Struggling Learners or Students With Learning Disabilities? Studies and resources that can help math teachers employ solid teaching practices.
National Center of Intensive Intervention - Mathematics - NCII developed a series of mathematics lessons and guidance documents to support special education instructors, mathematics specialists, and others working with students who struggle with mathematics.
National Council of Teachers of Mathematics - The Math Forum has a rich history as an online hub for the mathematics education community. NCTM makes many of the most popular parts of the Math Forum content accessible to the mathematics education community.
Skew The Script - Offers free, socially relevant math lessons for Algebra 1, Algebra 2 and AP Statistics. Lessons are on lighter topics that students actually cared about, like sports, fast food, and pop culture, along with others on more serious issues like climate change, equity issues, gun control, and vaccinations. Lessons include videos, teacher slide decks, student handouts, and other resources to support teachers in face-to-face or online teaching
Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students | WWC - This practice guide provides three recommendations for teaching algebra to students in middle school and high school. Each recommendation includes implementation steps and solutions for common roadblocks. The recommendations also summarize and rate supporting evidence. This guide is geared toward teachers, administrators, and other educators who want to improve their students’ algebra knowledge.