Reflection: Developing a Conceptual Understanding Exponential and Logarithmic Functions Test - Section 1: Test

 

The most interesting problem on this test was definitely problem 6 which asks students to create equations for three graphed exponential functions.  I think that it really tested the students' understanding of the structure of exponentials.  The correct solution has two equations with a base that is greater than 1 and one where the base is between 0 and 1.  I expected a solution like f(x)= 1/2x, f(x) = 2x, and f(x)= 3x.  I was surprised by the range of solutions.  The most common issue I saw was replacing the 1/2x with something like (-2)x  as seen in this Student Work.  This tells me that we did not spend enough time on both exponential decay functions and the problem with negative bases.  Looking back, we did address negative bases but I will extend the discussion of this next year.  

  Developing a Conceptual Understanding: Negative Exponential Functions
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Exponential and Logarithmic Functions Test

Unit 8: Exponential and Logarithmic Functions
Lesson 15 of 15

Objective: Students will be able to test their knowledge of exponential and logarithmic functions.

Big Idea: Students get to show what they know about exponential and logarithmic functions.

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