# Overview

Build a solid mathematical foundation with classroom-tested lessons

“Classroom tested” means there’s plenty of support in each module’s 30 half-hour lessons for teachers to build capacity as students move from basic conceptual understanding to skills development in addition and subtraction, multiplication, division, and fractions.

NUMBER CORE

Supports the development of quantity by using benchmark numbers, thinking flexibly about composing and decomposing numbers, and building facility with figuring sums.

A: ADDITION WITH SUMS UP TO 100

Builds on the big idea that “10” is an organizer for our number system.

B: SUBTRACTION WITH NUMBERS UP TO 100

Reinforces addition and subtraction as inverse operations and teaches the three meanings of subtraction: take-away, missing parts, and comparison problems.

C: NUMBERS GREATER THAN 100

Applies these big ideas to calculations with greater numbers and provides strategies for solving word problems.

Multiplication

A: BASIC CONCEPTS

Provides visual and contextual models to help students understand the meaning of multiplication, supporting the shift from thinking additively to thinking multiplicatively.

B: FACTS THROUGH 12x12

Uses an array model to represent the basic facts and demonstrate key concepts and strategies for multiplication.

C: FACTORS GREATER THAN 12

Develops strategies for making estimates and computing products with two- and three-digit factors, using the distributive property and multiplying by multiples of 10.

Division

A: BASIC CONCEPTS

Builds upon the idea that division is inverse to multiplication and provides computational methods for solving division problems, using contextual and concrete methods to support the two meanings of division—sharing and ungrouping.

B: FACTS THROUGH 100÷10

Applies the inverse relationship between multiplication and division to make sense of divisibility and the concept of taking out a quantity by groups of 10.

C: DIVIDENDS TO 1000

Extends to dividing two- and three-digit dividends by two-digit divisors, engages students in exploring divisibility, and provides experiences with solving contextual problems involving greater numbers.

Fractions

A: BASIC CONCEPTS

Connects and builds upon the big ideas of whole numbers as they apply to fractions, using concrete materials to help students give meaning to the abstract idea of fractions.

B: EQUIVALENCE AND COMPARISON

Helps students learn key strategies for comparing and ordering fractions while keeping the instructional focus on the meaning of the fractions being compared.

Builds on what students have learned in order to develop the computational tools and strategies to add and subtract fractions, including improper fractions and mixed numbers with like and unlike denominators.

## Teacher Experience

“After 10 years of classroom teaching, I felt that this year I was finally teaching math successfully.”

Sara Liebert Instructional Reform Facilitator, John Muir Elementary School
PROFESSIONAL LEARNING
Math Solutions

Math Solutions® provides every Do The Math teacher with the highest-quality professional learning services and resources. From training to follow-up program courses to individual and group coaching, the Math Solutions experts support both teachers and students throughout the entire process.

Program Embedded

Do The Math embeds professional learning opportunities for teachers to build content knowledge and refine their practices. The Professional Learning Guide, written by Math Solutions, walks teachers through the lesson structure and instructional strategies and dives deeply into the content.

OUTCOMES
1
Focus on effective teaching

Professional learning and point-of-use support are embedded into every lesson, with clear steps for effective and easily managed teaching.

The Professional Learning Guide walks teachers through the instructional strategies and dives deep into the content.

Letters From Marilyn explain the reasoning behind every set of five lessons, and provide context for the upcoming instruction, games, and routines.

2
Build and strengthen numerical reasoning

Do The Math rebuilds critical foundations by focusing on understanding and skills with both whole numbers and fractions.

Students progress—through carefully scaffolded instruction—from the basics to more complex operational work.

Students learn, process, and build a deep understanding of crucial arithmetic concepts.

3
Demonstrate understanding

Students are assessed before, throughout, and after each module.

Engaging classroom and online games invite students to learn, and show what they’ve learned.

“Think, pair, share” routines encourage students to talk about and share their strategies and new knowledge.

4
Strengthen vocabulary for English learners

Struggling math students may actually be struggling with language, so Do The Math strongly emphasizes language development.

Math vocabulary is explicitly taught using a consistent routine.

Opportunities are built in throughout the lessons for receptive and expressive use of vocabulary.

Visual representations of mathematical concepts are embedded throughout, and are used consistently in student work.

5
Restore student confidence