Reflection: Discourse and Questioning Quiz and Intro to Inverse Functions - Section 2: Intro to Inverse Functions

 

The concrete demonstration of inverse functions provided in the Celsius/Fahrenheit conversion activity provides a relevant entry point to the more abstract discussion of inverses in their symbolic form. I find that a purposeful line of questioning can help bridge the reasoning gap between these two activities:

  • What would you get if you took the 20℃ temperature in Boston and converted it back to Fahrenheit?

  • What about if we took the 57.2℉ temperature in Santiago and converted it back to Celsius?

  • Will it always be true that each formula ‘undoes’ the work of the other formula?

  • Can you think of any other formulas that might act like this?

  • What do you think would be a good name for a pair of functions that do this?

  • Is it obvious from looking at the Celsius and Fahrenheit formulas that this is going to be the case?

  • How can we find or recognize two functions that have this unique characteristic?

  What's in a Name?
  Discourse and Questioning: What's in a Name?
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Quiz and Intro to Inverse Functions

Unit 5: Rational and Inverse Functions
Lesson 5 of 8

Objective: SWBAT demonstrate what they have learned about operations with algebraic expressions, solving rational equations, and modeling with rational functions.

Big Idea: Working with rational functions is just like working with fractions. Today's quiz will assess your ability to work with rational expressions and equations.

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