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

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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

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.

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

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.

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.

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.

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.

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.