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Exploring Pascal's Triangle

Elementary Level

Working with a partner, study the numbers in the balloons. What patterns do you see in the arrangement of the numbers? Describe each pattern using words and symbols.

 

As you look for patterns, try to answer the following questions:

  1. Can you predict the next row of numbers?
  2. Add the numbers in each row. Is there a pattern in the sums of these numbers?
  3. Do any numbers repeat?
  4. Can you find a pattern in the diagonal numbers?

Share your discoveries with your class.

See if you can find:

natural numbers
 1, 2, 3, 4, ...		 triangular numbers
 1, 3, 6, 10, ...
powers of 2
 2, 4, 8, 16, ...		 Fibonacci numbers
 1, 1, 2, 3, 5, 8, ...

Discussion and Solutions

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