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Calculus Critical Values Extrema Derivatives Task Cards and Worksheet

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4.9 (29 ratings)
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Joan Kessler
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Grade Levels
11th - 12th, Higher Education
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  • PDF
Pages
14 pages
$5.00
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Joan Kessler
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Description

This Calculus activity on Critical Values, Absolute Extrema, and Relative Extrema is designed for Calculus 1 or AP Calculus and is part of the unit, Applications of the Derivative. Students find critical values, and then apply them to find extreme values. This engaging activity is excellent practice and enrichment to reinforce a lesson before the first derivative test.

Included:

  • 20 Task Cards in both color and black and white for easy printing. They are numerically coded.
    • #1 – 7 Determine all the critical values
    • #8 – 9 Determine all the critical values on a particular interval
    • #10 – 12 Identify the critical points and find the maximum and minimum value, relative extrema, on the given interval.
    • #13 – 20 Find the absolute extreme values of the function on the interval.
  • Master List of questions for your convenience
  • Answer keys
  • Student response sheets with room for students to show their work.
  • Additional Worksheet with similar problems. The worksheet can be used in class or as Homework, Assessment, or Enrichment.

There are many ways to vary the activity. Use as Task Cards in groups or with stations. A Guide to Using Task Cards is included in the PDF.

Note: This topic is included in the AP Calculus CED Unit 5 Analytical Applications of Differentiation and is part of Unit 3 from Calculus 1.

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You may also like:

★ Calculus Critical Values Self Grading Assessment

★ Calculus Unit 3 Applications of the Derivative Bundle

★ Increasing and Decreasing Functions Task or Station Cards

★ Introduction to Curve Sketching

★ Max-Min Optimizations

★ Related Rates Practice Problems

★ Calculus Bundle of Activities and Resources includes this resource

★ Calculus Unit 2 Bundle of Derivatives Activities

★ Calculus Unit 1 Bundle of Limits and Continuity Activities

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COPYRIGHT TERMS: ©2022 Joan Kessler (joansworldofmath.com™). This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

AP® is a registered trademark of the College Board® which was not involved in the creation of this product and does not endorse this product nor any that are linked on this page

Total Pages
14 pages
Answer Key
Included
Teaching Duration
N/A
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