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Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

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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)

Introduce Secret Fractions

1

Represent Fraction Situations

Cool Down: Represent a Fraction
1

Find the value of each expression mentally.

1
Pitanje 1
1.

3 x 3

1
Pitanje 2
2.

7 x 3

1
Pitanje 3
3.

10 x 3

1
Pitanje 4
4.

3 x 17

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.

Pitanje 5
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.

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.

1
1
Pitanje 7
7.

Explain your reasoning.

1
1
1
1
1
1
1
1
Pitanje 16
16.

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

Pitanje 6
6.

A student walks

the length of the street and hides a rock.

Pitanje 8
8.

A student walks

the length of the street and hides a penny.

Pitanje 9
9.

Explain your reasoning.

Pitanje 10
10.

A student walks

the length of the street and hides a stick.

Pitanje 11
11.

Explain your reasoning.

Pitanje 12
12.

A student walks

the length of the street and hides a penny.

Pitanje 13
13.

Explain your reasoning.

Pitanje 14
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?

Pitanje 15
15.

Explain how you know.