To Be Continued...

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Objective

SWBAT identify discontinuities in functions; SWBAT illustrate the Intermediate Value Theorem graphically and explain its necessary condition of continuity; SWBAT evaluate limits at infinity algebraically

Big Idea

Calculus has limits (pun intended!) on its applicability to continuous functions. But why? Today students explore the need for continuity.

Lesson Author

Jason Slowbe

Temecula, CA

Grade Level

Twelfth grade

Subjects

Math

Limits at Infinity

Precalculus and Calculus

Intermediate Value Theorem

Standards

MP1

Make sense of problems and persevere in solving them.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP8

Look for and express regularity in repeated reasoning.

Video Narrative - Lesson Overview

Warm-up and Homework Review

35 minutes

Lesson Plan, To Be Continued, Warm-up and Homework Review.pdf page 2

Setting the Stage

45 minutes

Lesson Plan, To Be Continued, Setting the Stage.pdf page 2

Lesson Plan, To Be Continued, Setting the Stage.pdf page 3

Investigation

35 minutes

Lesson Plan, To Be Continued, Investigation.pdf page 2

Closure + Homework

5 minutes

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