Logarithms and Exponentials: Evaluate, Properties, Solving with Key
Fly by the Seat of My Pants Kind of Teacher
3 Followers
Grade Levels
10th - 12th, Higher Education
Subjects
Resource Type
Standards
CCSSHSN-RN.A.1
CCSSHSN-RN.A.2
CCSSHSA-SSE.B.3
CCSSHSA-SSE.B.3c
CCSSHSF-IF.C.8b
Formats Included
- PDF
Pages
3 pages
Fly by the Seat of My Pants Kind of Teacher
3 Followers
Description
This 20-question assignment could be used as a mini-review or a test. I use it as part of my testing (this is the non-calculator half of the test) before I begin graphing. It consists of:
- 6 simplify problems with exponential expressions, including rational and negative exponents
- 4 evaluate problems with logarithms, including the natural log
- 2 condense problems (use properties of logs to write as a single logarithm)
- 2 expand problems (use properties of logs to expand the expression)
- 6 solve problems (exponential and logarithmic equations)
- 1 bonus equation
Total Pages
3 pages
Answer Key
Included
Teaching Duration
N/A
Last updated 7 months ago
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Standards
to see state-specific standards (only available in the US).
CCSSHSN-RN.A.1
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5 to the 1/3 power to be the cube root of 5 because we want (5 to the 1/3 power)³ = 5 to the (1/3)(3) power to hold, so (5 to the 1/3 power)³ must equal 5.
CCSSHSN-RN.A.2
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
CCSSHSA-SSE.B.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
CCSSHSA-SSE.B.3c
Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15 to the 𝘵 power can be rewritten as ((1.15 to the 1/12 power) to the 12𝘵 power) is approximately equal to (1.012 to the 12𝘵 power) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
CCSSHSF-IF.C.8b
Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02) to the 𝘵 power, 𝘺 = (0.97) to the 𝘵 power, 𝘺 = (1.01) to the 12𝘵 power, 𝘺 = (1.2) to the 𝘵/10 power, and classify them as representing exponential growth or decay.
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