Reflection: Positive Reinforcement Introduction to Exponential Functions - Rational Exponents - Section 1: Opening Class


A little something to keep in mind...

At the start of this unit, I am asking the students to put themselves out there a little bit.  When I first ran this lesson, I was shocked at how many of them were unable to correctly position the sticky notes.  Although a few members of the class could picture exactly what the graph should look like, at least 4-5 of the sticky notes were incorrectly positioned.  In my first class, the kids began snickering at how far off one or two of the sticky notes were.  This could have easily turned ugly if I had not redirected this energy and emphasized to the students that "I LOVE wrong answers."  The incorrectly positioned sticky notes served as nice outliers of the function and really supplemented our discussion on the continuous nature of the exponential function.  Emphasizing to the students that wrong answers have great value was a key to the roll out of this unit.  If nothing else, it showed the students that exponential growth is truly difficult to wrap our mind around, especially when we are "linear" experts!

  Positive Reinforcement: Embracing Student Mistakes
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Introduction to Exponential Functions - Rational Exponents

Unit 2: Exponential and Logarithmic Functions
Lesson 1 of 21

Objective: Students will be able to extend the meaning (and rules) of exponents to include rational exponents. They will activate prior knowledge and applications of exponents from their introductory study in Algebra I.

Big Idea: This multi-faceted lesson creatively activates the students' prior knowledge of exponents in a fun and engaging way - it also includes a “far-out” example that leaves them with a hunger to learn “exponentially” more!

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11 teachers like this lesson
Math, Algebra, 11th Grade
  42 minutes
opening activity
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