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This The Binomial Theorem lesson plan also includes:
- Teacher Version (.docx)
- Student Version (.pdf)
- Student Version (.docx)
- Precalculus Module 3: Teacher Materials (.pdf)
- Precalculus Module 3: Student Materials (.pdf)
- Precalculus Module 3: Copy Ready Materials (.pdf)
- Precalculus Module 3 (.html)
- Assessment
- Answer Key
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Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals then use the Binomial Theorem to calculate rates of changes for the volume of a sphere and the area of a circle when changing the radius.
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Instructional Ideas
- Investigate whether similar patterns occur with finding average rate of change of the volume of a cube and a cylinder
Classroom Considerations
- Assumes exposure to Pascal's triangle
- Requires knowledge of the powers of i
- Fifth of 23 consecutive Precalculus lessons
Pros
- Shows all the steps in determining the coefficients
- Provides scaffolding suggestions for struggling learners
Cons
- None