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## Unit 9 - Day 21

##### Unit 9Day 1Day 2Day 3Day 4Day 5Day 6Day 7Day 8Day 9Day 10Day 11Day 12Day 13Day 14Day 15Day 16Day 17Day 18Day 19Day 20Day 21All Units
###### Writing a Precalculus Assessment
• Include questions in multiple representations (graphical, analytical, tabular, verbal)

• Write questions that reflect learning targets and require conceptual understanding

• Include multiple choice and short answer or free response questions

• Determine scoring rubric before administering the assessment (see below)

• Offer opportunities to practice with and without calculators throughout the year

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###### Questions to Include
• Recognizing the limit notation for a derivative as asking for the instantaneous rate of change

• Calculating an average rate of change

• Interpreting a derivative in context

• Applying the power, product, and quotient rules to find derivatives

• Determining if a piecewise function is differentiable at a certain value and justifying the result

• Given a graph of f’, determining the behavior of f (relative extrema, intervals of increasing/decreasing, horizontal tangents)

• Given a graph of f, choosing the appropriate graph of f’

• Writing equations of tangent lines given information about a function and its derivative (in tabular or graphical form)

• Finding derivatives of sine and cosine

• Determining differentiability from a graph of f

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