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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).

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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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6-8 Grade 6 Unit 7

Gradeband

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

Accelerated 6
Accelerated 7

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

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Unit 7

Student Learning Targets

Grade 6

Section ANegative Numbers and Absolute Value

Section BInequalities

Section CThe Coordinate Plane

11

Points in the Coordinate Plane

I can plot points with negative coordinates in the coordinate plane.
I know what a coordinate plane is and can describe the four quadrants.
I know what negative numbers in coordinates tell us.

12

Constructing the Coordinate Plane

When given points to plot, I can construct a coordinate plane with an appropriate scale and pair of axes.

13

Interpreting Points in a Coordinate Plane

I can explain how rational numbers represent balances in a money context.
I can explain what points in a four-quadrant coordinate plane represent in a situation.
I can plot points in a four-quadrant coordinate plane to represent situations and solve problems.

14

Distances in the Coordinate Plane

Section DCommon Factors and Common Multiples

16

Common Factors

I can explain what a common factor is.
I can explain what the greatest common factor is.
I can find the greatest common factor of two whole numbers.

17

Common Multiples

I can explain what a common multiple is.
I can explain what the least common multiple is.
I can find the least common multiple of two whole numbers.

18

Using Common Multiples and Common Factors

I can solve problems using common factors and multiples.

Section ELet’s Put It to Work

Unit 7 Resources

Student Materials

I can find horizontal and vertical distances between points on the coordinate plane.

15

Shapes in the Coordinate Plane

I can find the lengths of horizontal and vertical segments in the coordinate plane.
I can plot polygons on the coordinate plane when I have the coordinates for the vertices.

19

Drawing in the Coordinate Plane

I can use ordered pairs to draw a picture.

1

Positive and Negative Numbers

I can explain what 0, positive numbers, and negative numbers mean in the context of temperature and elevation.
I can use positive and negative numbers to describe temperature and elevation.
I know what positive and negative numbers are.

2

Points on the Number Line

I can represent negative numbers on a number line.
I can tell or approximate the value of any point on a number line.
I understand what it means for numbers to be opposites.

3

Comparing Positive and Negative Numbers

I can explain how to use the positions of numbers on a number line to compare them.
I can use inequalities to compare positive and negative numbers.

4

Ordering Rational Numbers

I can compare and order rational numbers.
I can use phrases like “greater than,” “less than,” and “opposite” to compare rational numbers.

5

Using Negative Numbers to Make Sense of Contexts

I can explain and use negative numbers in situations involving money.
I can interpret and use negative numbers in different contexts.

6

Absolute Value of Numbers

I can explain what the absolute value of a number is.
I can find the absolute values of rational numbers.
I can recognize and use the notation for absolute value.

7

Comparing Numbers and Distance from Zero

I can explain what absolute value means in situations involving elevation.
I can use absolute values to describe elevations.
I can use inequalities to compare rational numbers and the absolute values of rational numbers.

8

Writing and Graphing Inequalities

I can graph inequalities on a number line.
I can write an inequality to represent a situation.

9

Solutions of Inequalities

I can explain what it means for a number to be a solution to an inequality.
I can graph the solutions to an inequality on a number line.
I can tell if a particular number is a solution to an inequality.

10

Interpreting Inequalities

I can explain what the solution to an inequality means in a situation.
I can write inequalities that involve more than one variable.