Learning Targets | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

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

Professional Learning

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.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Navigation

6-8 Accelerated 6 Unit 5

Gradeband

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

Settings

Language

Audience

family

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

English
Español

teacher
student
family

Unit 5

Student Learning Targets

Accelerated 6

Section ARepresenting Proportional Relationships with Equations

1

Proportional Relationships and Equations

I can write an equation of the form to represent a proportional relationship shown in a table or described in a story.

Section BComparing Proportional and Nonproportional Relationships

Section CRepresenting Proportional Relationships with Graphs

7

Graphs of Proportional Relationships

I can find the constant of proportionality from a graph.
I know that the graph of a proportional relationship lies on a line through .

Section DCircumference of a Circle

Section EArea of a Circle

Section FLet’s Put It to Work

Unit 5 Resources

Student Materials

I can write the constant of proportionality as an entry in a table.

2

Two Equations for Each Relationship

I can find two constants of proportionality for a proportional relationship.
I can write two equations representing a proportional relationship described by a table or story.

3

Writing Equations to Represent Relationships

I can find missing information in a proportional relationship using the constant of proportionality.
I can relate all parts of an equation like to the situation it represents.

8

Using Graphs to Compare Relationships

I can compare two, related proportional relationships based on their graphs.
I know that the steeper graph of two proportional relationships has a larger constant of proportionality.

9

Two Graphs for Each Relationship

I can interpret a graph of a proportional relationship using the situation.
I can write an equation representing a proportional relationship from a graph.

4

Comparing Relationships with Tables

I can decide if a relationship represented by a table could be proportional and when it is definitely not proportional.

5

Comparing Relationships with Equations

I can decide if a relationship represented by an equation is proportional or not.

6

Solving Problems about Proportional Relationships

I can ask questions about a situation to determine whether two quantities are in a proportional relationship.
I can solve all kinds of problems involving proportional relationships.

10

How Well Can You Measure?

I can examine quotients and use a graph to decide whether two associated quantities are in a proportional relationship.
I understand that it can be difficult to measure the quantities in a proportional relationship accurately.

11

Exploring Circles

I can describe the characteristics that make a shape a circle.
I can identify the diameter, center, radius, and circumference of a circle.

12

Exploring Circumference

I can describe the relationship between circumference and diameter of any circle.
I can explain what means.

13

Applying Circumference

I can choose an approximation for based on the situation or problem.
If I know the radius, diameter, or circumference of a circle, I can find the other two.

14

Estimating Areas

I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.

15

Area of a Circle

I know the formula for area of a circle.
I know whether or not the relationship between the diameter and area of a circle is proportional and can explain how I know.

16

Applying Area of Circles

I can calculate the area of more complicated shapes that include fractions of circles.
I can write exact answers in terms of .

17

Four Representations

I can make connections between the graphs, tables, and equations of a proportional relationship.
I can use units to help me understand information about proportional relationships.

18

Using Water Efficiently

I can answer a question by representing a situation using proportional relationships.

19

Distinguishing Circumference and Area

I can decide whether a situation about a circle has to do with area or circumference.
I can use formulas for circumference and area of a circle to solve problems.

20

Stained-Glass Windows

I can apply my understanding of area and circumference of circles to solve more complicated problems.