# Teaching 4.OA.A.1 and 4.OA.A.2 – Multiplicative Comparisons

## 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 comparisons 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

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