Calculus Area Between Two Curves with Lesson Video (Unit 8)

Area Between Two Curves Calculus Lesson:

Your AP Calculus students will find the area between two curves, find the area of a region between two intersecting curves using integration, and describe integration as an accumulation process.

What is included in this resource?

⭐ Guided Student Notes

⭐ Fully-editable SMART Board® Slides

⭐ Google Slides®

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Video Lesson Link for Distance Learning - Flipped Classroom models

⭐ Full solution set

Lesson Objective:

★ Use integration to find the area of a region bounded by two curves.

College Board® Topics:

Topic 8.4: Finding the Area Between Curves Expressed as Functions of x

Topic 8.5: Finding the Area Between Curves Expressed as Functions of y

Topic 8.6: Finding the Area Between Curves That Intersect at More Than Two Points

College Board® Learning Objectives:

CHA-5: Definite integrals allow us to solve problems involving the accumulation of change in area or volume over an interval.

CHA-5.A: Calculate areas in the plane using the definite integral.

CHA-5.A.1: Areas of regions in the plane can be calculated with definite integrals.

CHA-5.A.2: Areas of regions in the plane can be calculated using functions of either x or y.

CHA-5.A.3: Areas of certain regions in the plane may be calculated using a sum of two or more definite integrals or by evaluating a definite integral of the absolute value of the difference of two functions.

The unit includes:

1) Finding the Average Value of a Function on an Interval

2) Another Look at Particle Motion

3) Accumulation Functions in Applied Contexts

4) Area Between Two Curves

5) Volumes By Cross Sections

6) Volumes - The Disc and Washer Methods

7) Volumes About a Line

8) Arc Length of a Plane Curve (BC-Topic Only)

Click HERE to SAVE 20% by buying all APPLICATIONS OF INTEGRATION products, including cooperative activities, in the UNIT 8 AB-MEGA BUNDLE.

You may also be interested in:

Applications of Integration AB-Essentials

HOT TOPICS Volumes of Revolution

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Applications of Integration AB-Assessments

Activities & Assessment AB-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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