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Sigma and the Binomial Theorem

Sigma and the Binomial Theorem

Assessment

Presentation

Mathematics

10th - 12th Grade

Practice Problem

Easy

CCSS
HSA.APR.C.5

Standards-aligned

Created by

Tom Plocker

Used 29+ times

FREE Resource

14 Slides • 2 Questions

1

Sigma and the Binomial Theorem

Pre-Calc: Lessons 12-5 and 12-6

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2

12-5:

Sigma notation

Greek letter that represents a sum in mathematics. It is a concise way of representing a series.

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3

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4

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5

Open Ended

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6

Express in sigma notation:


2 + 4 + 10 + 28


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7

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8

Express using sigma notation:

 23+45+87+169+. . . .\frac{2}{3}+\frac{4}{5}+\frac{8}{7}+\frac{16}{9}+.\ .\ .\ .  

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9

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10

12-6:

The Binomial Theorem

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11

Pascal's Triangle!

The secret to expanding binomials!

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12

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13

Expand (x - 2)3

1x3(-2)0 + 3x2(-2)1 + 3x1(-2)2 + 1x0(-2)3

1x3 + 3x2(-2) + 3x1(4) + 1x0(-8)

x3 - 6x2 + 12x - 8



14

Multiple Choice

Expand

 (3n+1)4\left(3n+1\right)^4  

1

 81n4+108n3+54n2+12n+181n^4+108n^3+54n^2+12n+1  

2

 81n427n3+9n23n+181n^4-27n^3+9n^2-3n+1  

3

 12n4+9n3+6n2+3n+112n^4+9n^3+6n^2+3n+1  

4

 81n4+27n3+9n2+3n+181n^4+27n^3+9n^2+3n+1  

15

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16

Find the 6th term of

(x - y)7

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Sigma and the Binomial Theorem

Pre-Calc: Lessons 12-5 and 12-6

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