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Unit 4 - Lesson 10 - Grade 8: Illustrative Mathematics

By Formative Library
Last updated 3 months ago
10 Questions
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Grade 8 Unit 4
Lesson 10: On or Off the Line?
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 4
Lesson 10: On or Off the Line?
CC BY 2021 Illustrative Mathematics®
Lesson: On or Off the Line?

Which One Doesn’t Belong: Lines in the Plane (Warm Up)

Which one doesn’t belong? Explain your reasoning.

Pocket Full of Change

Jada told Noah that she has $2 worth of quarters and dimes in her pocket and 17 coins all together. She asked him to guess how many of each type of coin she has.

Here is a table that shows some combinations of quarters and dimes that are worth $2. Complete the table.

Here is a graph of the relationship between the number of quarters and the number of dimes when there are a total of 17 coins.

What does Point A represent?

How much money, in dollars, is the combination represented by Point A worth?

Is it possible for Jada to have 4 quarters and 13 dimes in her pocket? Explain how you know.

How many quarters and dimes must Jada have? Explain your reasoning.

Making Signs

Clare and Andre are making signs for all the lockers as part of the decorations for the upcoming spirit week. Yesterday, Andre made 15 signs and Clare made 5 signs. Today, they need to make more signs. Each person's progress today is shown in the coordinate plane.

Based on the lines, mark the statements as true or false for each person.

Cool Down: Another Pocket Full of Change

Another Pocket Full of Change

On the coordinate plane shown, one line shows combinations of dimes and quarters that are worth $3. The other line shows combinations of dimes and quarters that total to 12 coins.

Name one combination of 12 coins shown on the graph.

Name one combination of coins shown on the graph that total to $3.

How many quarters and dimes would you need to have both 12 coins and $3 at the same time?