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6-8 Grade 8 Unit 3

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K-5 Math •6-8 Math 9-12 Math

Course

Grade 6 Grade 7 •Grade 8

Unit

Unit 1 Unit 2 •Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is ©2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) . OUR's 6-8 Math Curriculum is available at https://openupresources.org/math-curriculum/ .

Adaptations and updates to IM 6-8 Math v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Unit 3

Student Learning Targets

Grade 8

Section A

1

I can graph a proportional relationship from a story.
I can use the constant of proportionality to compare the pace of different animals.

2

I can graph a proportional relationship from an equation.
I can tell when two graphs are of the same proportional relationship even if the scales are different.

3

I can scale and label coordinate axes in order to graph a proportional relationship.

4

I can compare proportional relationships represented in different ways.

Section B

5

I can find the rate of change of a linear relationship by figuring out the slope of the line representing the relationship.

6

I can interpret the vertical intercept of a graph of a real-world situation.
I can match graphs to the real-world situations they represent by identifying the slope and the vertical intercept.

7

I can use patterns to write a linear equation to represent a situation.
I can write an equation for the relationship between the total volume in a graduated cylinder and the number of objects added to the graduated cylinder.

8

I can explain where to find the slope and vertical intercept in both an equation and its graph.
I can write equations of lines using $y=mx+b$.

Section C

Section D

Section E

Unit 3 Resources

Student Materials

15

I can write linear equations to reason about real-world situations.

9

I can create a graph of a situation that has a negative slope.
I can determine if a situation or a graph has a slope that is positive, negative, or zero and explain how I know.

10

I can calculate positive and negative slopes given two points on the line.

11

I can describe a line precisely enough that another student can draw it.

12

I can write equations of lines that have a positive or a negative slope.
I can write equations of vertical and horizontal lines.

13

I know that the graph of an equation is a visual representation of all the solutions to the equation.
I understand what the solution to an equation in two variables is.

14

I can find solutions $(x, y)$ to linear equations given either the $x$- or $y$-value to start from.