## Operations & Algebraic Thinking – 4th Grade

**Use the four operations with whole numbers to solve problems.**

*CCSS.Math.Content.4.OA.A.1*

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of** multiplicative comparison**s as multiplication equations.

*CCSS.Math.Content.4.OA.A.2*

Multiply or divide to solve word problems involving **multiplicative comparison,** e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.1

**Teacher Notes
Multiplicative comparisons** allow us to focus on the comparison of two quantities by showing that one quantity is a number of times larger or smaller than the other, whereas additive comparisons focus on the difference between two quantities. Understanding these concepts allows students to solve word problems and demonstrate their understanding through drawings and equations.

**Student Knowledge Goals**

I understand situations of multiplicative comparison.

I know how to read a multiplication equation.

I know strategies to solve multiplication problems.

I know the ratio is constant in a multiplicative comparison.

I understand what an additive comparison is.

I know strategies to solve multiplication and division problems.

I know multiplication and division are inverse operations.

**Vocabulary**

equation

factor

interpret

multiple

multiplicative comparison

product

**Lessons**

Engage NY Module 1 A-1 – Includes printable classwork and homework

Engage NY Module 3-A1 – Includes printable classwork and homework

**4.OA.A.3 also covered*

Learn Zillion – Understand multiplicative comparison by comparing it to additive comparison

Multiplicative Comparisons

4.OA.A.1 and 4.OA.A.2 Lesson A – Includes printable classwork and homework

4.OA.A.1 and 4.OA.A.2 Lesson B – Includes printable classwork and homework

4.OA.A.1 and 4.OA.A.2 A&B Answers

**Student Video Lessons**

Learn Zillion – Interpret multiplication as a comparison

Learn Zillion – Solve word problems using multiplicative comparisons

Virtual Nerd – 4.OA.A.1

Virtual Nerd – 4.OA.A.2

**Online Problems and Assessments
**Khan Academy – Questions and Video Lessons

Missing Factors

Multiplicative Comparisons

**Printables**

Multiplicative Comparisons I

4.OA.A.1 and 4.OA.A.2

Multiplicative Comparisons II

Multiplicative Comparisons Activity & Worksheet