Calculus Optimization with Lesson Video (Unit 5)
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Description
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:
6) Optimization
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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