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6-8 Accelerated 6 Unit 6 Lesson 1

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K-5 Math •6-8 Math 9-12 Math

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•Accelerated 6 Accelerated 7

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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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•Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13

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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

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13

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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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Unit 6, Lesson 1

Revisiting Proportional Relationships

Accelerated 6

Practice

Problem 1

It takes an ant farm 3 days to consume \(\frac12\) of an apple. At that rate, in how many days will the ant farm consume 3 apples?

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Problem 2

Lesson 1 Resources

Student Materials

To make a shade of paint called jasper green, mix 4 quarts of green paint with \(\frac23\) cup of black paint. How much green paint should be mixed with \(4\frac12\) cups of black paint to make jasper green?

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Problem 3

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, \(d\), is related to the time in seconds, \(t\), by the equation \(d=\frac{3}{20}t\).

How fast is it flying? Be sure to include the units.
How far will it travel in 30 seconds?
How long will it take to go \(12\frac34\) miles?

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Problem 4

A grocer can buy strawberries for \$1.38 per pound.

Write an equation relating \(c\), the cost, and \(p\), the pounds of strawberries.
A strawberry order costs \$241.50. How many pounds did the grocer order?

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Problem 5

Mancala (mahn-KAH-lah) is a board game from East Africa. Here is a photo of a game in progress.

Photo of wooden game board. 4 pieces in left store. 9 pieces in right store.

The pieces in the right store are what percentage of all the pieces on the game board? (There are 48 total pieces.)
The pieces in the right store are what percentage of the pieces in the left store?

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Problem 6

ForLesson 19: Distinguishing Circumference and Area

Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles.

How far is it around the perimeter of Crater Lake?
What is the area of the surface of Crater Lake?

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Problem 7

ForLesson 15: Area of a Circle

A 50-centimeter piece of wire is bent into a circle. What is the area of this circle?

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