Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

Last updated 11 months ago

16 questions

Note from the author:

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

Instructions

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

Lesson: Build Fractions from Unit Fractions

Cool Down: Represent a Fraction

Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

Last updated 11 months ago

16 questions

Note from the author:

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

Instructions

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.

3 x 3

7 x 3

10 x 3

3 x 17

Introduce Secret Fractions

The goal of the game is to be the first to build 2 secret fractions with unit fractions.
Make two stacks: one for secret fractions and one for unit fractions. Place all cards face down.
Each player draws 2 secret fraction cards. These are the fractions you are trying to make with your unit fractions.
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.

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.

Cool Down: Represent a Fraction

Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

Number Talk: 3 and Another Factor (Warm Up)

3 x 3

7 x 3

10 x 3

3 x 17

Introduce Secret Fractions

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

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

Number Talk: 3 and Another Factor (Warm Up)

3 x 3

7 x 3

10 x 3

3 x 17

Introduce Secret Fractions

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

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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?

Explain how you know.

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

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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?

Explain how you know.

Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

Unit 5 - Lesson 4 - Grade 3: Illustrative Mathematics

Number Talk: 3 and Another Factor (Warm Up)

3 x 3

7 x 3

10 x 3

3 x 17

Introduce Secret Fractions

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

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

Number Talk: 3 and Another Factor (Warm Up)

3 x 3

7 x 3

10 x 3

3 x 17

Introduce Secret Fractions

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

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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?

Explain how you know.

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

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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

Explain your reasoning.

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?

Explain how you know.

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

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

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

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

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?

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

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

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

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

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?