1  

1   1  

1   1  

1   1  

1   1  

3  

2  

3  

4   6   4  

1   1  5   10   10   5  

Created By: Bethany @

MathGeekMama.com FREE

Exploring Pascal’s Triangle

Exploring Pascal’s Triangle: Spend some time studying the numbers in the triangle below and observing the patterns. Then answer the

discussion questions.

1  

1   1  

1   1  

1   1  

1   1  

3  

2  

3  

4   6   4  

1   1  5   10   10   5  

Think About It…

1. What is one pattern that you found in the triangle? Describe it. 2. Complete the next two rows of the triangle. 3. Can you explain (in words) how the triangle is made? IN other words, the recursive process for completing each row? 4. Is there a pattern in the diagonals?

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Coloring Pascal’s Triangle:

Directions:

1. Fill in Pascal’s triangle above with the correct values. 2. Color al l the 1’s. What pattern do you notice? 3. Color the natural (counting) numbers (a different color). What pattern do you notice?

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Coloring Pascal’s Triangle:

Directions:

1. Fill in Pascal’s triangle above with the correct values. 2. Color all the even numbers. Do you notice a pattern?

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Coloring Pascal’s Triangle:

Directions:

1. Fill in Pascal’s triangle above with the correct values. 2. Color all the powers of 2. Do you notice a pattern?

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Coloring Pascal’s Triangle:

Directions:

1. Fill in Pascal’s triangle above with the correct values. 2. Color the Fibonacci numbers (if you don’t know them, look it up). Do you notice a pattern?

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Coloring Pascal’s Triangle:

Directions:

1. Fill in Pascal’s triangle above with the correct values. 2. Color the multiples of 5 blue. Then color all numbers 1 less than multiples of 5 red, 2 less green, 3 less purple and 4 less orange. What kinds of patterns do you see?

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