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Pascal's triangle Maths Investigation

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Jacqueline Harmer
Jacqueline Harmer

This is lesson where students can guide themselves through exploring and investigating patterns in Pascal's triangle.

Formation
1  sur  12
Pascal’s Triangle WALT: investigate and describe patterns
What is Pascal’s triangle? ,[object Object],[object Object],[object Object],[object Object]
FUNCTION – How does it work? ,[object Object],[object Object]
What can you see? Here is a hint to help you finish the triangle. You may use a calculator.
Finding patterns ,[object Object],[object Object],[object Object],[object Object],[object Object]
Explore diagonal patterns within the triangle. ,[object Object],[object Object],[object Object]
More Diagonal Patterns ,[object Object],[object Object]
Investigate Pascal’s triangle – ODDS and EVENS ,[object Object],[object Object]
Are there more odd or even numbers? ,[object Object],[object Object],[object Object],[object Object],[object Object]
Are there more odd or even numbers? ,[object Object],[object Object],[object Object],[object Object],[object Object]
Find your own patterns! ,[object Object],[object Object],[object Object]
More information ,[object Object]

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Pascal's triangle Maths Investigation

Notes de l'éditeur

  1. Symmetry
  2. Exponents – power of 2 If x is the previous number the answer to the following row is x to the power of 2.
  3. 0 = 1s all the way 1 = counting 2= triangular numbers but adjacent numbers make square numbers 3 = tetrahedral numbers
  4. Odd + odd = even Even + odd = odd Even + even = even