# Part to Whole Relationships

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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades

Videos, examples, and solutions to help Grade 5 students learn how to explore part to whole relationships.

Common Core Standards: 5.NF.1, 5.NF.2

New York State Common Core Math Module 3, Grade 5, Lesson 16

Lesson 16 Application Problems

1. c) Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.

2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?

3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?

Lesson 16 Problem Set

1. Draw the following ribbons. When finished, compare your work to your partner’s.
a) 1 ribbon. The piece shown below is only 1/3 of the whole. Complete the drawing to show the whole piece of ribbon.
b) 1 ribbon. The piece shown below is 4/5 of the whole. Complete the drawing to show the whole piece of ribbon.
c) 2 ribbons, A and B. One third of A is equal to all of B. Draw a picture of the ribbons.
d) 3 ribbons, C, D, and E. C is half the length of D. E is twice as long as D. Draw a picture of the ribbons.

2. Half of Robert’s piece of wire is equal to 2 thirds of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert’s wire than Maria’s? Lesson 16 Homework

This video demonstrates how to create unit diagrams to illustrate the relationship between parts and the whole.

1. Draw the following ribbons.

a) 1 road. The piece shown below is only 3/7 of the whole. Complete the drawing to show the whole road.

b) 1 road. The piece shown below is 1/6 of the whole. Complete the drawing to show the whole road.

c) 3 roads. B is three times longer than A. C is twice as long as B. Draw the roads. What fraction of the total length of the roads is the length of A? If Road B is 7 miles longer than Road A., what is the length of Road C?

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