Navigation

6-8 Accelerated 6 Unit 8 Lesson 15

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

Lesson

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 Lesson 14 •Lesson 15 Lesson 16 Lesson 17

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

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
Lesson 14
Lesson 15
Lesson 16
Lesson 17

Lesson | Practice | 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.

Settings

Audience

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.

teacher
student
family

Unit 8, Lesson 15

Keeping Track of All Possible Outcomes

Accelerated 6

Practice

Problem 1

Noah is planning his birthday party. Here is a tree showing all of the possible themes, locations, and days of the week that Noah is considering.

How many themes is Noah considering?
How many locations is Noah considering?
How many days of the week is Noah considering?
One possibility that Noah is considering is a party with a space theme at the skating rink on Sunday. Write two other possible parties Noah is considering.
How many different possible outcomes are in the sample space?

A tree diagram.

to access Practice Problem Solutions.

Lesson 15 Resources

Student Materials

Problem 2

For each event, write the sample space and tell how many outcomes there are.

Lin selects one type of lettuce and one dressing to make a salad.

Lettuce types: iceberg, romaine
Dressings: ranch, Italian, French
Diego chooses rock, paper, or scissors, and Jada chooses rock, paper, or scissors.
Spin these 3 spinners.

Circular spinner divided into two equal parts: one labeled “B” and one labeled “M.” The pointer is in the part labeled “M.”

Circular spinner divided into two equal parts: one labeled “A” and one labeled “E.” The pointer is in the part labeled “E.”

Circular spinner divided into three equal parts: one labeled “D,” one labeled “N,” and one labeled “T.” The pointer is in the part labeled “T.”

to access Practice Problem Solutions.

Problem 3

ForLesson 14: Estimating Probabilities through Repeated Experiments

There is a bag of 50 marbles.

Andre takes out a marble, records its color, and puts it back in. In 4 trials, he gets a green marble 1 time.
Jada takes out a marble, records its color, and puts it back in. In 12 trials, she gets a green marble 5 times.
Noah takes out a marble, records its color, and puts it back in. In 9 trials, he gets a green marble 3 times.

Estimate the probability of getting a green marble from this bag. Explain your reasoning.

to access Practice Problem Solutions.

Problem 4

ForLesson 13: What Are Probabilities?

A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages.

What is the sample space for this experiment?
What is the probability that you turn to page 45?
What is the probability that you turn to an even-numbered page?
If you repeat this experiment 50 times, about how many times do you expect you will turn to an even-numbered page?

to access Practice Problem Solutions.

Problem 5

ForLesson 3: Interpreting Histograms

The histogram summarizes the data on the body lengths of 143 wild bears. Describe the distribution of body lengths. Be sure to comment on shape, center, and spread.

A histogram, length in inches, from 30 to 85 by fives. Beginning at 30 up to but not including 35, height of bar at each interval is 0, 2, 5, 10, 11, 30, 36, 20, 15, 13, 1.

to access Practice Problem Solutions.

Problem 6

ForLesson 10: Solving Multi-step Percentage Problems

A backpack normally costs \$25 but it is on sale for \$21. What percentage is the discount?

to access Practice Problem Solutions.