## 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

# Exponential and Logarithmic Functions Test

Unit 8: Exponential and Logarithmic Functions
Lesson 15 of 15

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

Print Lesson
1 teacher likes this lesson
Standards:
Subject(s):
Math, exponential function, Algebra, exponential growth, rational exponents, logarithms, Algebra 2, logarithmic functions, master teacher project
51 minutes

### Amelia Jamison

##### Similar Lessons

###### What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Favorites(36)
Resources(19)
Fort Collins, CO
Environment: Suburban

###### Inequalities: The Next Generation
12th Grade Math » Polynomial and Rational Functions
Big Idea: Does the zero product property work for inequalities?
Favorites(2)
Resources(19)
Troy, MI
Environment: Suburban

###### Graphing Systems of Linear Inequalities (Day 1 of 2)
Algebra I » Linear Inequalities
Big Idea: Students will combine their knowledge of systems of equations and linear inequalities to represent the solution in a simultaneous equation scenario.
Favorites(12)
Resources(16)
Washington, DC
Environment: Urban