## Do The Math and the Common Core State Standards

Do The Math targets the Core within the Core—the standards within the Common Core State Standards that focus on the most critical foundations for algebra: fluency with whole numbers and fractions. By focusing on these key skills and concepts, Do The Math follows the recommendation of the Common Core State Standards for focused and coherent instruction that provides more time for students to reason with, reflect upon, and practice mathematics.

### How Do The MathSupports the Standards

#### Develop a Solid Foundation in Whole Numbers and Fractions

The Common Core State Standards (CCSS) provide students with a solid foundation in whole number operations (addition, subtraction, multiplication, and division) and fractions. Having built a strong foundation in K-5, students can then do hands-on learning in higher-level topics and will be well prepared for algebra in Grade 8.

Rather than re-teaching grade level material, Do The Math instead focuses on foundational topics crucial for building understanding and fluency with whole numbers and fractions. The Institute of Education Sciences (IES) agrees that the content for intervention should "include foundational concepts and skills introduced earlier in the student's career." They have identified that whole number and fraction foundations will accelerate learning for intervention students and successfully prepare them for algebra and other higher branches of math.

#### Focus on the Core Foundations for Algebra Readiness

To accelerate learning, it is not necessary to reteach every missed skill and concept. Do The Math focuses on fluency with whole numbers and fractions, the core foundations for algebra.

• Supports students in operating with larger numbers by emphasizing place value
• Teaches students to use a visual model and computational tool called the open number line to record addition and subtraction problems while keeping the focus on place value
• Shows students how to compose and decompose numbers
• Reinforces addition and subtraction as inverse operations
##### Multiplication
• Provides visual and contextual models to help students understand the meaning of multiplication
• Uses array models to represent facts
• Helps students understand the patterns for multiplying by 10 and multiples of 10
##### Division
• Builds on the idea that division
is the inverse of multiplication
• Includes division models to help students understand the meaning of division
• Emphasizes dividing by 10 and multiples of 10
##### Fractions
• Builds on the ideas of whole
numbers as they apply to fractions
• Uses concrete materials to give students visual models
• Develops strategies for comparing, adding, and subtracting fractions

#### Focus on Number Core

The CCSS emphasize that early elementary work should focus on learning how numbers correspond to quantities and learning how to put numbers together and take them apart (the beginnings of addition and subtraction).

#### Addition and Subtraction Modules Focus on the Big Ideas in Number

• The Do The Math Number Core module develops students' mental representations of quantity using the benchmark numbers of 5 and 10.
• Do The Math strategies connect back to the big idea that numbers can be composed and decomposed.
• Strategies help students develop mental representations of quantity.