Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.

Concepts

derivatives, maximums, minimums, intervals, theorems

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Additional Tags

math

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Instructional Ideas

• Provide individual practice items after the collaborative exercise
• Have learners come up with examples where the extrema are at the end points of the interval and examples where the extrema are completely within the interval

Classroom Considerations

• Encourage class members to answer open-ended questions with complete sentences in order to prepare for the AP Exam

Pros

• The lesson provides a collaborative activity for pupils to practice including practicing for the AP Exam
• The warm-up and the collaborative activities come with answer keys

Cons

• None