Pascal’s Triangle, named after Blaise Pascal, a famous French Mathematician and Philosopher, is more than a triangular shape of numbers. The patterns found within the triangle are FASCINATING! Investigate some of the treasures found within the triangle in this math mini spark.
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1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
Spark your math thinking!
1. Set up your math mini spark recording page: #6: The Mathematical Secrets of Pascal’s Triangle
2. Watch this video about Pascal’s Triangle. On your recording page answer these questions: Describe a pattern you notice within the triangle. What numbers would be in the next row?
3. At 1:20 in the video, the Triangular Numbers are highlighted. The picture below shows the first 5 triangular numbers. Draw the next 2 triangular numbers on your recording page.
4. At 1:58 in the video, the Pentagonal Numbers are highlighted. The picture below shows the first 5 pentagonal numbers. Draw the next 2 pentagonal numbers on your recording page.
5. Do some more research on Pascal’s Triangle at Math is Fun. Don’t feel like you have to explain everything about the triangle, just pick a couple patterns to highlight on your recording page.
6. This TED Ed Video takes the explanation of Pascal’s Triangle to a higher level, but it’s worth a watch to discover even more patterns within the triangle. Record 5 details from the video on your recording sheet.
7. Share your math mini spark recording page with your teacher/EY coordinator.





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