Pascal's Triangle and Binomial Theorem

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1
• 1, 5, 10, 10, 5, 1
• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

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CCSS.HSA.APR.C.5

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CCSS.HSA.APR.C.5

Choose the right Pascal's triangle

• 
• 
• 
• 

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CCSS.HSA.APR.C.5

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CCSS.HSA.APR.C.5

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

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CCSS.HSA.APR.C.5

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

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CCSS.HSA.APR.C.5

How do you create Pascal's Triangle?

• The first row is all 1's, 2nd all 2's, third all 3's, etc.
• 1's all the way down on the outside of both right and left sides, then add the two numbers above each space to complete the triangle.
• Use the perfect square numbers
• Count by twos

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CCSS.HSA.APR.C.5

This week we learned about ________'s Triangle.

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CCSS.HSA.APR.C.5

Select the coefficients of the 5th Row in Pascal's Triangle

• 1;3;3;1

• 1;4;6;4;1

• 1;5;10;10;5;1

• 1;6;15;20;15;6;1

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CCSS.HSA.APR.C.5

What number can always be found at the left side of the triangle?

• 0

• 1

• 2

• 3

• 4