Section 7.3 - Volume
Essential Question(s):
How are integrals used to calculate volumes of solids?
How are integrals used to calculate volumes of solids?
Follow these three steps to complete this "flip" lesson.
STEP 1: Preparation
Title your spiral with the heading above and copy the essential question(s).
Title your spiral with the heading above and copy the essential question(s).
STEP 2: Vocabulary & Examples
Answer the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a Cornell notes format, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to write enough to answer the question.
Answer the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a Cornell notes format, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to write enough to answer the question.
Volume as an Integral
Square Cross Sections
Circular Cross Sections
Cylindrical Shells - OPTIONAL
Other Cross Sections - OPTIONAL
- What is the volume of a solid?
- How do you find volume by the method of slicing?
Square Cross Sections
- How can you apply the slicing method with square cross sections?
Circular Cross Sections
- What is a solid of revolution?
- How do you find the volume with a washer cross section? (example and sidebar)
- How do you find the volume when rotating about another axis?
Cylindrical Shells - OPTIONAL
- How do you find volume using cylindrical shells?
Other Cross Sections - OPTIONAL
- Read the examples and take notes as needed.
STEP 3: Reading
If time permits, then reread the lesson and take any extra notes as needed.
If time permits, then reread the lesson and take any extra notes as needed.
