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6-8 Accelerated 7 Unit 5

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K-5 Math •6-8 Math 9-12 Math

Course

Accelerated 6 •Accelerated 7

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

Accelerated 6
Accelerated 7

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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Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

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 and additions to create IM 6–8 Math v.360 Accelerated are ©2025 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 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).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

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Unit 5

Student Learning Targets

Accelerated 7

Section A

Section B

4

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

5

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.

6

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.

7

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

Section F

Section G

Unit 5 Resources

Student Materials

13

I can use graphs to find an ordered pair that two real-world situations have in common.

14

I can explain the solution to a system of equations in a real-world context.
I can explain what a system of equations is.
I can make graphs to find an ordered pair that two real-world situations have in common.

15

I can graph a system of equations.
I can solve systems of equations using algebra.

16

I can use the structure of equations to help me figure out how many solutions a system of equations has.

17

I can write a system of equations from a real-world situation.

24

I can identify the same data represented in a bar graph, a segmented bar graph, and a two-way table.
I can use a two-way frequency table or relative frequency table to find associations among variables.

25

I can create relative frequency tables, bar graphs, and segmented bar graphs from frequency tables to find associations among variables.

26

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

27

I can use a system of equations to represent a real-world situation and answer questions about the situation.

28

I can collect data and analyze it for associations using scatter plots, two-way tables, and segmented bar graphs.

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 scale and label coordinate axes in order to graph a proportional relationship.
I can tell when two graphs are of the same proportional relationship even if the scales are different.

3

I can compare proportional relationships represented in different ways.

18

I can organize data to see patterns more clearly.

19

I can describe the meaning of a point in a scatter plot in context.

20

I can pick out outliers on a scatter plot.
I can use a model to predict values for data.

21

I can draw a line to fit data in a scatter plot.
I can say whether data in a scatter plot has a positive or negative association (or neither).

22

I can use the slope of a line fit to data in a scatter plot to say how the variables are connected in real-world situations.

23

I can pick out clusters in data from a scatter plot.
I can use a scatter plot to decide if two variables have a linear association.

8

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.

9

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

10

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

11

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.

12

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