 # Commutativity of Multiplication

Related Topics:
Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades

Examples, solutions, and videos to help Grade 3 students learn how to demonstrate the commutativity of multiplication and practice related facts by skip-counting objects in array models.

Common Core Standards:3.OA.1, 3.OA.5, 3.OA.3, 3.OA.4

### New York State Common Core Math Grade 3, Module 1, Lesson 7, Lesson 8

Lesson 7 Concept Development

Problem 1: Rotate arrays 90 degrees.
Problem 2: Interpreting rows and columns in rotated arrays.

Word Problem: Sara bought 2 boxes of notecards. Each box has 8 cards in it.
a) Draw an array to show the total number of cards.
b) Write a multiplication sentence that shows the total number of cards.
c) Use the commutative property to write a related multiplication sentence.

Lesson 7 Homework

1. a. Count by twos 7 times.
_____, _____,_____,_____,_____,_____,_____
b. Draw an array that matches your count-by.
c. Write a multiplication sentence that represents the total number of objects in your array.
________ × ________ = ________
2. a. Count by sevens 2 times.
_______, _______

b. Draw an array that matches your count-by.
c. Write a multiplication sentence that represents the total number of objects in your array.
________ × ________ = ________
5. Write and solve a different multiplication sentence to describe each array.

Lesson 8 Concept Development

Problem 1: Rotate arrays 90 degrees.
Problem 2: Interpreting rows and columns in rotated arrays.
Draw an array with 5 rows and 3 columns.
Draw an array with 3 rows and 5 columns.
When we turn an array 90 degrees, columns become rows and rows become columns.
Count by 4s five times.
Count by 5s four times.
Word Problem:
George puts 3 stickers on each page of his notebook. He puts stickers on 8 pages.
a) Draw an array showing the total number of stickers.
b) write a multiplication sentence to find the total number of stickers.
George adds 2 more pages, with 3 stickers on each page. Draw x's to show the new stickers on the array.
c) Write a multiplication sentence for the new total. Lesson 8 Homework

1. a. Count by threes 6 times.
____, ____,____,____,____,____
b. Draw an array that matches your count-by.
2. a. Count by sixes 3 times.
_______, _______, _______
b. Draw an array that matches your count-by.
6. Ivania recycles. She gets 3 cents for every can she recycles.
a. How much money does Ivania make if she recycles 4 cans?
__________ × __________ = ________ cents
b. How much money does she make if she recycles 7 cans?
__________ × __________ = ________ cents

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 