Exponential and Logarithmic Functions Test

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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.

Lesson Author

Amelia Jamison

Caldwell, ID

Grade Level

Eleventh grade

Subjects

Math

exponential function

Algebra

exponential growth

rational exponents

logarithms

Standards

HSA-CED.A.1

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

HSF-IF.C.7e

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

HSF-BF.A.1

Write a function that describes a relationship between two quantities.*

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

HSF-LE.A.4

For exponential models, express as a logarithm the solution to ab<sup>ct</sup> = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP4

Model with mathematics.

MP6

Attend to precision.

MP7

Look for and make use of structure.

Test

50 minutes

Negative Exponential Functions

Student Work - Exponential and Logarithmic Test

I always make two versions of a test and pass them out checkerboard style. I ask students to show work.

Puzzles

1 minutes

I offer a variety of Extra Credit puzzles for students who finish early and have no make up work to complete. This includes, but is not limited to; sudoku, mathdoku, logic problems, picture mazes, and pixel puzzles. A couple of my favorites are: Griddlers and Concept is puzzles

Both sites offer a number of free puzzles as well as purchasable books. Pixel Puzzles are a particular favorite. The Mathdoku are also great. They can increase a student's numeracy abilities if done regularly.