Unit 5

Section A: Inputs and Outputs

• Lesson 1: Inputs and Outputs

  Let’s make some rules.

  • Lesson Activities
  • Practice Problems

• Lesson 2: Introduction to Functions

  Let’s learn what a function is.

  • Lesson Activities
  • Practice Problems

Section B: Representing and Interpreting Functions

• Lesson 3: Equations for Functions

  Let’s find outputs from equations.

  • Lesson Activities
  • Practice Problems

• Lesson 4: Tables, Equations, and Graphs of Functions

  Let’s connect equations and graphs of functions.

  • Lesson Activities
  • Practice Problems

• Lesson 5: More Graphs of Functions

  Let’s interpret graphs of functions.

  • Lesson Activities
  • Practice Problems

• Lesson 6: Even More Graphs of Functions

  Let’s draw a graph from a story.

  • Lesson Activities
  • Practice Problems

• Lesson 7: Connecting Representations of Functions

  Let’s connect tables, equations, graphs, and stories of functions.

  • Lesson Activities
  • Practice Problems

Section C: Linear Functions and Rates of Change

• Lesson 8: Linear Functions

  Let’s investigate linear functions.

  • Lesson Activities
  • Practice Problems

• Lesson 9: Linear Models

  Let’s model situations with linear functions.

  • Lesson Activities
  • Practice Problems

• Lesson 10: Piecewise Linear Functions

  Let’s explore functions built out of linear pieces.

  • Lesson Activities
  • Practice Problems

Section D: Cylinders and Cones

• Lesson 11: Filling Containers

  Let’s fill containers with water.

  • Lesson Activities
  • Practice Problems

• Lesson 12: How Much Will Fit?

  Let’s reason about the volume of different shapes.

  • Lesson Activities
  • Practice Problems

• Lesson 13: The Volume of a Cylinder

  Let’s explore cylinders and their volumes.

  • Lesson Activities
  • Practice Problems

• Lesson 14: Finding Cylinder Dimensions

  Let’s figure out the dimensions of cylinders.

  • Lesson Activities
  • Practice Problems

• Lesson 15: The Volume of a Cone

  Let’s explore cones and their volumes.

  • Lesson Activities
  • Practice Problems

• Lesson 16: Finding Cone Dimensions

  Let’s figure out the dimensions of cones.

  • Lesson Activities
  • Practice Problems

Section E: Dimensions and Spheres

• Lesson 17: Scaling One Dimension

  Let’s see how changing one dimension changes the volume of a shape.

  • Lesson Activities
  • Practice Problems

• Lesson 18: Scaling Two Dimensions

  Let’s change more dimensions of shapes.

  • Lesson Activities
  • Practice Problems

• Lesson 19: Estimating a Hemisphere

  Let’s estimate volume of hemispheres with figures we know.

  • Lesson Activities
  • Practice Problems

• Lesson 20: The Volume of a Sphere

  Let’s explore spheres and their volumes.

  • Lesson Activities
  • Practice Problems

• Lesson 21: Cylinders, Cones, and Spheres

  Let’s find the volume of shapes.

  • Lesson Activities
  • Practice Problems

Section F: Let’s Put It to Work

• Lesson 22: Volume as a Function of …

  Let’s compare water heights in different containers.

  • Lesson Activities