# Ch 11: Area Under the Curve & Integrals - AP Calculus: Homeschool Curriculum

The Area Under the Curve and Integrals unit of this AP Calculus Homeschool course is designed to help homeschooled students learn about the area under the curve and integrals. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

## Who's it for?

This unit of our AP Calculus Homeschool course will benefit any student who is trying to learn about area under the curve and integrals. There is no faster or easier way to learn about calculus. Among those who would benefit are:

• Students who require an efficient, self-paced course of study to learn to calculate an integral with Riemann sums.
• Homeschool parents looking to spend less time preparing lessons and more time teaching.
• Homeschool parents who need a calculus curriculum that appeals to multiple learning types (visual or auditory).
• Gifted students and students with learning differences.

## How it works:

• Students watch a short, fun video lesson that covers a specific unit topic.
• Students and parents can refer to the video transcripts to reinforce learning.
• Short quizzes and an Area Under the Curve and Integrals unit exam confirm understanding or identify any topics that require review.

## Area Under the Curve and Integrals Unit Objectives:

• Find the limits of Riemann sums.
• Define the Trapezoid Rule.
• Learn to identify and draw types of sums.
• Understand linear properties of definite integrals.
• Learn to use the average value theorem.

11 Lessons in Chapter 11: Area Under the Curve & Integrals - AP Calculus: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.