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Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

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16 Questions
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Grade 3 Unit 5
Lesson 4: Build Fractions from Unit Fractions
CC BY 2021 Illustrative Mathematics®
Grade 3 Unit 5
Lesson 4: Build Fractions from Unit Fractions
CC BY 2021 Illustrative Mathematics®
Lesson: Build Fractions from Unit Fractions

Number Talk: 3 and Another Factor (Warm Up)

Find the value of each expression mentally.
1.

3 x 3

2.

7 x 3

3.

10 x 3

4.

3 x 17

Introduce Secret Fractions

The goal of the game is to be the first to build 2 secret fractions with unit fractions.
  1. Make two stacks: one for secret fractions and one for unit fractions. Place all cards face down.
  2. Each player draws 2 secret fraction cards. These are the fractions you are trying to make with your unit fractions.
  3. On your turn, you can make one of these moves:
  • Pick up 1 unit fraction card.
  • Trade both of your secret fractions for 2 new secret fractions from the stack.
4. When you have enough unit fractions to make one of your secret fractions, shade your gameboard to represent your secret fraction. Then, pick a new secret fraction.
5. The first player to make 2 secret fractions wins.
5.

When you have enough unit fractions to make one of your secret fractions, shade your gameboard to represent your secret fraction. Then, pick a new secret fraction.

Represent Fraction Situations

Here are four situations about playing Pilolo and four diagrams. Each diagram represents the length of a street where the game is played.


Represent each situation on a diagram. Be prepared to explain your reasoning.
6.

A student walks
the length of the street and hides a rock.

7.

Explain your reasoning.

8.

A student walks
the length of the street and hides a penny.

9.

Explain your reasoning.

10.

A student walks
the length of the street and hides a stick.

11.

Explain your reasoning.

12.

A student walks
the length of the street and hides a penny.

13.

Explain your reasoning.

14.

This diagram represents the location of a hidden stick.

About what fraction of the length of the street did the student walk to hide it?

15.

Explain how you know.

Cool Down: Represent a Fraction
16.

This strip represents 1 whole. Partition the diagram and shade it to represent