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Unit 5 - Lesson 10 - Grade 8: Illustrative Mathematics

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Last updated 2 months ago
13 Questions
Note from the author:
Grade 8 Unit 5
Lesson 10: Piecewise Linear Functions
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 5
Lesson 10: Piecewise Linear Functions
CC BY 2021 Illustrative Mathematics®
Lesson: Piecewise Linear Functions

Notice and Wonder: Lines on Dots (Warm Up)

1.

What do you notice? What do you wonder?


Modeling Recycling

2.

Approximate the percentage recycled each year with a piecewise linear function by drawing between three and five line segments to approximate the graph.

3.

Find the slope for each piece. What do these slopes tell you?


Dog Bath

Elena filled up the tub and gave her dog a bath. Then she let the water out of the tub.
4.

The graph shows the amount of water in the tub, in gallons, as a function of time, in minutes. Add labels to the graph to show this.

5.

When did she turn off the water faucet?

6.

How much water was in the tub when she bathed her dog?

7.

How long did it take for the tub to drain completely?

8.

At what rate did the faucet fill the tub?

9.

At what rate did the water drain from the tub?

Distance and Speed (Optional)

The graph shows the speed of a car as a function of time.

10.

Describe what a person watching
the car would see.


Cool Down: Lin’s Phone Charge

Lin’s Phone Charge

Lin uses an app to graph the charge on her phone.

11.

When did she start using her phone?

12.

When did she start charging her phone?

13.

While she was using her phone, at what rate was Lin’s phone battery dying?