Exponential and Logarithm Assessment

Objective

SWBT analyze graphs, solve problems and evaluate problems involving exponential and logarithmic functions.

Big Idea

With a written assessment proficiency in analyzing graphs, solving problems and evaluating expressions that involve exponential and logarithmic functions is demonstrated.

Lesson Author

Katharine Sparks

Independence, MO

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

logarithmic function

logarithmic equation

exponential function

Standards

HSF-IF.C.7e

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

HSF-BF.B.5

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

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.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

Assessment

40 minutes

Analyzing the Assessment

assessment.mp4

Assessment needs time

Today students take an assessment. Students complete the first 2 pages of the assessment without calculators. When the students solve equations, they leave their answer in logarithmic or exponential form.

I do not allow calculators on the first portion of the test. I want to assess student's ability to use algebra techniques and logarithmic properties and calculators will not allow me to assess this due to the type of problems that are on the test.

Question 11 on the last page does not need a calculator. Students need to think about the structure of an exponential function to answer the question. The last question is similar problems worked on in a previous lesson. I have given students the formula and along with identifying what the parameters represent. Students need to use the information to solve the problem.

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