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Middle School Grade 6 Grade 7 Grade 8

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

8.5 Functions and Volume

Lessons Learning Targets

Lessons

Inputs and Outputs

1Inputs and Outputs
2Introduction to Functions

Representing and Interpreting Functions

3Equations for Functions
4Tables, Equations, and Graphs of Functions
5More Graphs of Functions
6Even More Graphs of Functions
7Connecting Representations of Functions

Linear Functions and Rates of Change

8Linear Functions
9Linear Models
10Piecewise Linear Functions

Cylinders and Cones

11Filling Containers
12How Much Will Fit?
13The Volume of a Cylinder
14Finding Cylinder Dimensions
15The Volume of a Cone
16Finding Cone Dimensions

Dimensions and Spheres

17Scaling One Dimension
18Scaling Two Dimensions
19Estimating a Hemisphere
20The Volume of a Sphere
21Cylinders, Cones, and Spheres

Let's Put It to Work

22Volume As a Function of . . .

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IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is copyright 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 are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 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 copyright 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 copyright 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 consent of Illustrative Mathematics.

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