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Unit 6 - Lesson 20 - Grade 5: Illustrative Mathematics

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18 Questions
Note from the author:
Grade 5 Unit 6
Lesson 20: Will it Always Work?
CC BY 2021 Illustrative Mathematics®
Grade 5 Unit 6
Lesson 20: Will it Always Work?
CC BY 2021 Illustrative Mathematics®
Lesson: Will it Always Work?

True or False: Distributing (Warm Up)

Decide if each statement is true or false. Be prepared to explain your reasoning.
1.

2.

Explain your reasoning.

3.

4.

Explain your reasoning.

5.

6.

Explain your reasoning.

True Statements

Write <,> ,= or in each blank to make true statements.
7.
567__________345 x 567
8.
4/5 x 851__________851
9.
1/4__________5/5 x 1/4
10.
103/104__________103/104 x 103/104
11.
99/8 x 23/22__________99/8
12.
10/10 x 1/2__________1/2
13.
100/7 x 9/13__________9/13
14.

Choose one problem from above and explain or show your reasoning.

Andre’s Rules

Andre says:
  • When you multiply any fraction by a number less than 1, the product will be less than the fraction.
  • When you multiply any fraction by a number greater than 1, the product will be greater than the fraction.
15.

Each partner choose one of the statements and describe why it is true. You may want to include details such as notes, diagrams, and drawings to help others understand your thinking.


Cool Down: Compare
Write <, >, or = in each blank to make the statements true.
16.
13/18 x 11/3__________11/3
17.
19/16 x 22/3__________22/3
18.
8/8 x 1/5__________1/5