## Lesson Plan, Using the Difference Quotient, Investigation.docx - Section 3: Investigation

*Lesson Plan, Using the Difference Quotient, Investigation.docx*

*Lesson Plan, Using the Difference Quotient, Investigation.docx*

Using the Difference Quotient

# Using the Difference Quotient

Unit 2: Limits and Derivatives

Lesson 9 of 10

Lesson 9 of 10

## Objective: SWBAT use the difference quotient to compute derivatives of polynomials algebraically and to find the slope of the tangent line at a point.

## Big Idea: Students practice using the difference quotient algebraically and assess the correctness of their results graphically.

Subject(s):

Math, Tangent Lines at Derivatives, Precalculus and Calculus, Tangent Slope, calculus ab, difference quotient, limit, limits algebraically, AP Calculus AB, calculus, AP Calculus

*60 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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