Pascal's Triangle
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 6 Questions
1
2
Named after Blaise Pascal.
Add together numbers that are beside each other. Starting with 1.
How Pascal's Triangle Works?
3
Multiple Choice
What is the next row?
1 5 10 10 5 1
1 2 3 4 5 6 7 8
1 6 20 30 20 6 1
1 6 15 20 15 6 1
1 5 15 20 15 5 1
4
Second Diagonal -
counting numbers
Third Diagonal -
Equilateral Triangles
Fourth Diagonal - Tetrahedral Numbers
Diagonal Patterns
5
Multiple Choice
What diagonal is the 3D triangle pattern in and what is it called?
First
Equilateral
Fourth
Equilateral
Fourth
Tetrahedral
Third
Counting numbers
6
The sum of all the numbers in one row is equal to 2 to the power of the row number.
Powers of 2
7
Multiple Choice
What is the sum of all the numbers in the highlighted row?
25
210
29
28
8
Binomial Expansion
9
Multiple Choice
What is (a+b)5?
a+b
a4+4a3b+6a2b2+4ab3+b4
a5+5a4b+10a3b2+10a2b3+5ab4+b5
10
If you were to shade in all the odd numbers you would get the fractal, Sierpinski's Triangle.
Sierpinski Triangle
11
Multiple Choice
What is the fractal that you get from shading in all the odd numbers in Pascal's Triangle?
Sierpinski's Triangle
Pascal's Triangle
Pythagorean Theorem
Blaise Triangle
12
Open Ended
What do you know about Pascal's Triangle now?
Show answer
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