Calculus Optimization with Lesson Video (Unit 5)

Calculus Optimization - Solving Real-World Problems to Maximize or Minimize Lesson:

Your AP Calculus students will use techniques of differentiation to solve applied minimum and maximum problems. Your students will have guided notes, homework, and a content quiz on Optimization - Solving Real-World Problems to Maximize or Minimize that cover the concepts in depth from the six-lesson unit on Analytical Applications of Differentiation. #distancelearningtpt

***(1/04/23) EX #6 added the answer to the last question for the key.

What is included in this resource?

⭐ Guided Student Notes

⭐ Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Video Lesson Link for Distance Learning - Flipped Classroom models

⭐ Full solution set

Lesson Objective:

★ Use calculus to optimize real-world situations by finding values that maximize or minimize given constraints.

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NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder and includes a LESSON VIDEO for Distance Learning needs.

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College Board® Topics:

Topic 5.10: Introduction to Optimization Problems

Topic 5.11: Solving Optimization Problems

Topic 5.12: Exploring Behaviors of Implicit Relations

College Board® Learning Objectives:

FUN-4.B: Calculate minimum and maximum values in applied contexts or analysis of functions.

FUN-4.B.1: The derivative can be used to solve optimization problems; that is, finding a minimum or maximum value of a function on a
given interval.

FUN-4.C: Interpret minimum and maximum values calculated in applied contexts.

FUN-4.C.1: Minimum and maximum values of a function take on specific meanings in applied contexts.

FUN-4.D: Determine critical points of implicit relations

FUN-4.D.1: A point on an implicit relation where the first derivative equals zero or does not exist is a critical point of the function.

FUN-4.E: Justify conclusions about the behavior of an implicitly defined function based on evidence from its derivatives

FUN-4.E.1: Applications of derivatives can be extended to implicitly defined functions.

FUN-4.E.2: Second derivatives involving implicit differentiation may be relations of x, y, and dy/dx.

The unit includes:

1) Mean Value Theorem

2) Extrema on an Interval

3) First Derivative Test

4) Second Derivative Test

5) Curve Sketching

6) Optimization

Click HERE to SAVE 20% by buying all ANALYTIC APPLICATIONS OF DIFFERENTIATION products, including cooperative activities, in UNIT 5 MEGA BUNDLE.

You might be interested in:

Applications of the Derivative Scavenger Hunt

Maximize-A-Box Optimization Project

Analytic Applications of Differentiation Unit Homework

Analytic Applications of Differentiation Assessments

Analytic Applications of Differentiation Essentials

Activities & Assessment Bundle

AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.

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