## Two-Way Lighthouse.mov - Section 4: Investigation

To Be Continued...

# To Be Continued...

Unit 2: Limits and Derivatives

Lesson 5 of 10

Lesson 5 of 10

## 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.

Subject(s):

Math, Limits at Infinity, Precalculus and Calculus, Intermediate Value Theorem, calculus ab, limit, limits algebraically, limits graphically, continuity, discontinuity, geogebra, AP Calculus AB, calculus, AP Calculus

*120 minutes*

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- UNIT 1: Back to School
- UNIT 2: Limits and Derivatives
- UNIT 3: Formalizing Derivatives and Techniques for Differentiation
- UNIT 4: Applications of Differentiation, Part 1
- UNIT 5: Applications of Differentiation, Part 2
- UNIT 6: The Integral
- UNIT 7: Applications of Integration
- UNIT 8: Differential Equations
- UNIT 9: Full Course Review via Motion
- UNIT 10: The Final Stretch - Preparing for the AP Exam

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- LESSON 1: Introducing Limits
- LESSON 2: So Close, Yet So Far
- LESSON 3: Limits Algebraically - Do More Math!
- LESSON 4: Limit Laws of the Land
- LESSON 5: To Be Continued...
- LESSON 6: Continuity Continued... Catch-up Day
- LESSON 7: The Difference Quotient, Form 1
- LESSON 8: The Difference Quotient, Form 2
- LESSON 9: Using the Difference Quotient
- LESSON 10: Reviewing Limits and the Difference Quotient

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