Subject: Math, STEM (Science, Technology, Engineering, and Math)

Lesson Length: 45 mins - 1 hour

Topic: Math, Algebra, Polynomials, Functions, Inverses

Grade Level: 10, 11, 12, 9

Standards / Framework:

Brief Description: Students will create a comic that shows by composition that one function is the inverse of another.

Know Before You Start: Students should be able to find the inverse of a given function.

Hook:

  • Ask students:
    • “What is an inverse operation?” (multiplication-division, addition-subtraction, etc)
    • “How can we find the inverse of a function?”
    • “How does function composition show that one function is the inverse of another” (because the inverse “undoes” the original function to bring us back to the starting point of x).

Activity:

  • Have students discuss inverse operations and inverse functions and review function composition.
  • Have students use these examples to create a function and inverse function.
  • Have students create a comic that illustrates function composition showing that one function is the inverse of another.

Closure:

  • Have students share their comics with the class or in small groups.
  • Have students explain why they chose the functions used in their comic.
  • Have students discuss why it’s important to be able to communicate mathematical ideas in visual form.
  • Discuss alternate ways of explaining mathematical principles.
  • Emphasize that being able to clearly communicate mathematical ideas helps build communication and critical thinking skills.

Differentiation:

  • Allow students to use the speech-to-text feature.
  • Allow students to work in pairs or groups as needed.
  • Allow students to use the voiceover feature to read their comics aloud.
  • Students may have varying degrees of complexity in their functions.

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