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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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6-8 Grade 6 Unit 6

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 6

Student Learning Targets

Grade 6

Section AEquations in One Variable

1

Tape Diagrams and Equations

I can tell whether or not an equation could represent a tape diagram.
I can use a tape diagram to represent an equation.

2

Truth and Equations

I can replace a variable in an equation with a number that makes the equation true, and know that this number is called a “solution” to the equation.

3

Staying in Balance

I can compare the process of removing or grouping weights to keep a hanger diagram balanced and the process of subtracting or dividing numbers to solve an equation.
I can explain what a balanced hanger diagram and a true equation have in common.
I can write equations that could represent the weights on a balanced hanger diagram.

4

Practice Solving Equations

I can solve addition and multiplication equations with one variable.

Section BEqual and Equivalent

Section CExpressions with Exponents

Section DRelationships Between Quantities

Section ELet’s Put It to Work

Unit 6 Resources

Student Materials Student Materials in Spanish

5

Represent Situations with Equations

I can explain how an equation with a variable represents a real-world problem.
I can use equations with variables to solve real-world problems.

6

Percentages and Equations

I can solve percent problems by writing and solving equations.

7

Write Expressions with Variables

I can use an expression that represents a situation to find an amount in a story.
I can write an expression with a variable to represent a calculation where I do not know one of the numbers.

8

Equal and Equivalent

I can explain what it means for two expressions to be equivalent.
I can use what I know about operations to decide whether two expressions are equivalent.

9

The Distributive Property, Part 1

I can use a diagram of a rectangle split into two smaller rectangles to write different expressions representing its area.
I can use the distributive property to explain how two expressions with numbers are equivalent.

10

The Distributive Property, Part 2

I can use a diagram of a split rectangle to write different expressions with variables representing its area.

11

The Distributive Property, Part 3

I can use the distributive property to write equivalent expressions with variables.

12

Meaning of Exponents

I can find the value of expressions with exponents and write expressions with exponents that are equal to a given number.
I understand the meaning of an expression with an exponent like .

13

Expressions with Exponents

I can decide if expressions with exponents are equal by finding the values of the expressions or by understanding what exponents mean.

14

Evaluating Expressions with Exponents

I know how to find the value of expressions that have both an exponent and addition or subtraction.
I know how to find the value of expressions that have both an exponent and multiplication or division.

15

Equivalent Exponential Expressions

I can find solutions to equations with exponents in a list of numbers.
I can replace a variable with a number in an expression with exponents and use the correct order of operations to find the value of the expression.

16

Two Related Quantities, Part 1

I can create tables and graphs that show the relationship between two amounts.
I can write an equation with two variables that shows the relationship between two amounts.

17

Two Related Quantities, Part 2

I can create tables and graphs to represent the relationship between distance and time for something moving at a constant speed.
I can write an equation with variables to represent the relationship between distance and time for something moving at a constant speed.

18

More Relationships

I can create tables and graphs that show different kinds of relationships between amounts.
I can write equations that describe relationships with area and volume.

19

Tables, Equations, and Graphs, Oh My!

I can create a table and a graph that represent the relationship in a given equation.
I can explain what an equation tells us about the situation.