Differential Equations Growth and Decay (Unit 7 AP Calculus)

Description

⭐⭐ This AP Calculus AB-BC lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Exponential Models with Differential Equations .⭐⭐

✅ Lesson 7.4 Exponential Models with Differential Equations is a two-day lesson with an emphasis on Mathematical Practice 3 Justification.

Skill 3.G: Confirm that solutions are accurate and appropriate.

✅ What is included in this resource?

⭐ Guided Student Notes

⭐ Video Lesson Link for Flipped Classroom models

⭐ Google Slides®

⭐ Fully-editable SMART Board® Slides (You MUST have SMART Notebook software to open.)

⭐ Homework/Practice assignment

⭐ Daily Lesson Quiz (2 sets)

⭐ Full solution sets

⭐ Fully-editable PowerPoint Files (You MUST have PowerPoint to edit.)

✅Learning Objective:

★ Use exponential functions to model growth and decay in applied problems.

✅ College Board® Topics:

⭐ Topic 7.8: Exponential Models with Differential Equations

✅ College Board® Learning Objectives:

⭐ FUN-7: Solving differential equations allows us to determine functions and develop models.

⭐ FUN-7.F: Interpret the meaning of a differential equation and its variables in context.

⭐ FUN-7.F.1: Specific applications of finding general and particular solutions to differential equations include motion along a line and exponential growth and decay.

⭐ FUN-7.F.2: The model for exponential growth and decay that arises from the statement “The rate of change of a quantity is proportional to the size of the quantity” is dy/dt=ky.

⭐ FUN-7.G: Determine general and particular solutions for problems involving differential equations in context.

⭐ FUN-7.G.1: The exponential growth and decay model, dy/dt=ky, with initial condition y= y_0 when t=0, has solutions of the form y=y_0 e^kt.

Click HERE to SAVE 20% by buying all DIFFERENTIAL EQUATIONS products, including cooperative activities, in UNIT 7 AB-MEGA 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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