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Unit 5 - Lesson 11 - Grade 8: Illustrative Mathematics

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10 Questions
Note from the author:
Grade 8 Unit 5
Lesson 11: Filling Containers
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 5
Lesson 11: Filling Containers
CC BY 2021 Illustrative Mathematics®
Lesson: Filling Containers

Which One Doesn’t Belong: Solids (Warm Up)

1.

These are drawings of three-dimensional objects. Which one doesn’t belong?

2.

Explain your reasoning.

Height and Volume

Your teacher will give you a graduated cylinder, water, and some other supplies. Your group will use these supplies to investigate the height of water in the cylinder as a function of the water volume.
3.

Before you get started, make a prediction about the shape of the graph.

4.

Fill the cylinder with different amounts of water and record the data in the table.

5.

Create a graph that shows the height of the water in the cylinder as a function of the water volume.

6.

Choose a point on the graph and explain its meaning in the context of the situation.

What Is the Shape?

7.

The graph shows the height vs. volume function of an unknown container. What shape could this container have? Explain how you know and draw a possible container.


8.

The graph shows the height vs. volume function of a different unknown container. What shape could this container have? Explain how you know and draw a possible container.


9.

How are the two containers similar? How are they different?


Cool Down: Which Cylinder?

Which Cylinder?

Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder.

10.

Which cylinder has the larger radius? Explain how you know.