Lesson Plan

Function Composition

Curated and Reviewed by Lesson Planet

Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition of functions and use them to evaluate compositions. Learners then move on to algebraically determine the new function rule for composed functions.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Have class members write an explanation of when composition of functions work and when they do not in terms of the domain and range of the two functions
  • Ask individuals to come up with a composition of two functions that are not numerical like the examples in the lesson
Classroom Considerations
  • The class should be familiar with domain and range
Pros
  • Uses a concrete example to explain composition to help with understanding
  • Contains answers to the examples, the exit ticket, and practice problems
Cons
  • None
Common Core