Unit 5:

5A Functions

5B Volume

Khan Academy created these materials to enable personalized practice alongside the new Illustrative Mathematics curriculum. All of the materials have been reviewed for curriculum alignment by experts at Illustrative Mathematics and Khan Academy. To learn more about the IM 6–8 Math curriculum, visit www.illustrativemathematics.org/curriculum.

Unit 5A (Lessons 1-10): Functions

Lesson 1: Inputs and Outputs


Lesson 2: Introduction to Functions


Lesson 3: Equations for Functions


Lesson 4: Table, Equations and Graphs of Functions


Lesson 5: More Graphs of Functions


Lesson 6: EVEN MORE Graphs of Functions


Lesson 7: Connecting Representations of Functions


Lesson 8: Linear Functions


Lesson 9: Linear Models


Lesson 10: Piecewise Functions


Unit 5A Test Review Resources


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Unit 5B (Lessons 11-22): Volume


Lesson 11: Filling Containers


Lesson 12: How Much Will Fit?


Lesson 13: The Volume of a Cylinder


Lesson 14: Finding Cylinder Dimensions


Lesson 15: The Volume of a Cone


Lesson 16: Finding Cone Dimensions


Lesson 17: Scaling One Dimension


Lesson 18: Scaling Two Dimensions


Lesson 19: Estimating a Hemisphere


Lesson 20: The Volume of a Sphere


Lesson 21: Cylinders, Cones and Spheres


Lesson 22: Volume as a Function


Unit 5B Test Review