Pre-AP Free Response Problems (AP-Style): Exp/Log/Piecewise/Rational
Broderick's Advanced Math Emporium
19 Followers
Grade Levels
10th - 12th
Subjects
Resource Type
Standards
CCSSHSA-APR.D.6
CCSSHSA-CED.A.2
CCSSHSA-CED.A.3
CCSSHSA-REI.A.1
CCSSHSA-REI.A.2
Formats Included
- Word Document File
Pages
6 pages
Broderick's Advanced Math Emporium
19 Followers
Description
Set of 3 Free Response Problems for Algebra II or Precalculus. Modeled after AP Calculus problems with regard to style, rigor, and grading scale. #1 assesses exponential and logarithmic functions (in real-world context), #2 assesses piecewise-defined functions (in real-world context), and #3 assesses rational functions by equation and by graph. Scoring rubrics included. If using as assessment, each question should take about 15 minutes (45 minutes total)
Total Pages
6 pages
Answer Key
Included with rubric
Teaching Duration
45 minutes
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Standards
to see state-specific standards (only available in the US).
CCSSHSA-APR.D.6
Rewrite simple rational expressions in different forms; write 𝘢(𝘹)/𝘣(𝘹) in the form 𝘲(𝘹) + 𝘳(𝘹)/𝘣(𝘹), where 𝘢(𝘹), 𝘣(𝘹), 𝘲(𝘹), and 𝘳(𝘹) are polynomials with the degree of 𝘳(𝘹) less than the degree of 𝘣(𝘹), using inspection, long division, or, for the more complicated examples, a computer algebra system.
CCSSHSA-CED.A.2
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
CCSSHSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
CCSSHSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
CCSSHSA-REI.A.2
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
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Questions & Answers
19 Followers
