Standard 2: Area between curves and volumes of solids of revolution
Objective: Upon completion of this lesson, students should be able to:
Lesson Questions:
Lesson Notes: 7.1 Area Between Curves Notes
7.2 Volumes Notes
Lesson Videos: 7.1 Area Between Curves Video
7.2 Volumes Video
Homework Practice: 7.1 Area Between Curves p. 452# 1-9 odd, 13, 17-27 odd, 33, 35, 45, 71, 73
7.2 Volumes p. 463# 1-21 odd, 55, 61, 62ac
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.
Objective: Upon completion of this lesson, students should be able to:
- Use subtraction of definite integral of two different functions to find the area between curves.
- Use functions to model radius lengths in order to calculate the volume of a solid of revolution.
- Use areas of geometric cross-section of 3-D shapes to find the volume of a solid.
Lesson Questions:
- How do you find the area between two curves?
- Explain how the area of common geometric shapes such as circles, squares, and triangles are used to find the volume of 3-D shapes that are not common.
Lesson Notes: 7.1 Area Between Curves Notes
7.2 Volumes Notes
Lesson Videos: 7.1 Area Between Curves Video
7.2 Volumes Video
Homework Practice: 7.1 Area Between Curves p. 452# 1-9 odd, 13, 17-27 odd, 33, 35, 45, 71, 73
7.2 Volumes p. 463# 1-21 odd, 55, 61, 62ac
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.