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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 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 3

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 3

Student Learning Targets

Grade 6

Section AUnits of Measurement and Unit Conversion

Section BRates

4

Comparing Speeds and Prices

I understand that if two ratios have the same rate per 1, they are equivalent ratios.
When measurements are expressed in different units, I can decide who is traveling faster or which item is the better deal by comparing “how much for 1” of the same unit.

5

Interpreting Rates

I can choose which unit rate to use based on how I plan to solve the problem.
When I have a ratio, I can calculate its two unit rates and explain what each of them means in the situation.

6

Equivalent Ratios Have the Same Unit Rates

I can give an example of two equivalent ratios and show that they have the same unit rates.
I can multiply or divide by the unit rate to calculate missing values in a table of equivalent ratios.

7

More Rate Comparisons

Section CPercentages

Section DLet’s Put It to Work

Unit 3 Resources

Student Materials

I can choose how to use unit rates to solve problems.

8

Solving Rate Problems

I can see that thinking about “how much for 1” is useful for solving different types of problems.

9

More about Constant Speed

I can solve more complicated problems about constant speed situations.

17

Painting a Room

I can apply what I have learned about unit rates and percentages to predict how long it will take and how much it will cost to paint all the walls in a room.

1

Anchoring Units of Measurement

I can name common objects that are about as long as 1 inch, foot, yard, mile, millimeter, centimeter, meter, or kilometer.
I can name common objects that weigh about 1 ounce, pound, ton, gram, or kilogram, or that hold about 1 cup, quart, gallon, milliliter, or liter.
When I read or hear a unit of measurement, I know whether it is used to measure length, weight, or volume.

2

Measuring with Different-Size Units

When I know a measurement in one unit, I can decide whether it takes more or less of a different unit to measure the same quantity.

3

Converting Units

I can convert measurements from one unit to another, using double number lines, tables, or by thinking about “how much for 1.”
I know that when we measure things in two different units, the pairs of measurements are equivalent ratios.

10

What Are Percentages?

I can create a double number line diagram with percentages on one line and dollar amounts on the other line.
I can explain the meaning of percentages using dollars and cents as an example.

11

Representing Percentages with Double Number Line Diagrams

I can use double number line diagrams to solve different problems like “What is 40% of 60?” or “60 is 40% of what number?”

12

Representing Percentages in Different Ways

I can use tape diagrams and tables to solve different problems like “What is 40% of 60?” or “60 is 40% of what number?”

13

Benchmark Percentages

When I read or hear that something is 10%, 25%, 50%, or 75% of an amount, I know what fraction of that amount they are referring to.

14

Solving Percentage Problems

I can choose and create diagrams to help me solve problems about percentages.

15

Finding This Percent of That

I can solve different problems like “What is 40% of 60?” by dividing and multiplying.

16

Finding the Percentage

I can solve different problems like “60 is what percentage of 40?” by dividing and multiplying.