The document is a lesson plan on binomial expansion. It introduces binomial expansion and the binomial theorem. It discusses evaluating combinations using Pascal's triangle and expanding binomial expressions. Examples are provided to expand binomial expressions and find specific terms within expansions using the binomial theorem and Pascal's triangle. Students are assigned related practice problems to solidify their understanding.

1. April 11, 2012
9.5 The Binomial
Theorem
Essential Question:
How do you expand (x+y)n?
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2. April 11, 2012
Our 9.5 Objectives (Quiz
Topics)
Objectives:
• evaluate combinations (group notation) to determine
binomial coefficients
• Create Pascal's Triangle to find binomial coefficients
• Expand binomials with Pascal's Triangle or the
Binomial Theorem
• Determine specific terms of a binomial expansion
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What is "binomial expansion"?
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Patterns in binomial expansion.
1.
2.
3.
4.
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The Binomial Theorem
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Evaluating Combinations
Ex. 1) Evaluate.
a) b)
c) d)
e)
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Creating Pascal's Triangle
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Expanding Binomials
1)
2)
3)
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Ex. 2) Expand.
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Ex. 3) Expand.
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Ex. 4) Expand.
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Ex. 5) What is the fifth term of (a - 2b)8?
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Ex. 6) Find the coefficient of the term
containing a4b7 in the expansion of (2a - 3b)11.
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Assignment:
9.5 p. 688 #1-13 (odd), 17, 23-29
(odd), 33, 39, 41, 47, 49, 67
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