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Pre-AP Free Response Problems (AP-Style): Linear/Quadratic/Polynomial

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Grade Levels
9th - 12th
Resource Type
Standards
Formats Included
  • Word Document File
Pages
6 pages
$4.99
$4.99
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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 polynomial functions, #2 assesses quadratic functions (in real-world context), and #3 assesses rate of change (slope) and understanding of function notation. 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).
Interpret expressions that represent a quantity in terms of its context.
Interpret parts of an expression, such as terms, factors, and coefficients.
Know and apply the Remainder Theorem: For a polynomial 𝘱(𝘹) and a number 𝘢, the remainder on division by 𝘹 – 𝘢 is 𝘱(𝘢), so 𝘱(𝘢) = 0 if and only if (𝘹 – 𝘢) is a factor of 𝘱(𝘹).
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Solve quadratic equations in one variable.

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