# #6: The Mathematical Secrets of Pascal’s Triangle

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Pascal’s Triangle is more than a triangular shape of numbers.  The patterns found within the triangle are FASCINATING!  This week’s Math Minute will have you investigating some of the treasures found within the triangle.

###### How can I spend my Math Minutes this week?
• Watch this video about Pascal’s Triangle:  https://youtu.be/YUqHdxxdbyM
• What numbers would be in the next row?
• 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 using paper and pencil or the Drawing Pad app on your iPad.  Send the image to the EY Coordinator in your building.
• 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 using paper and pencil or the Drawing Pad app on your iPad.  Send the image to to the EY Coordinator in your building.

• Do some research on Pascal’s Triangle.  Create a tutorial using Explain Everything.  Don’t feel like you have to explain everything about the triangle, just pick a couple patterns to highlight.  Send your completed Explain Everything to the EY Coordinator at your building.
• 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.  Post a comment about something new you learned.  When posting a comment, include your first name, your grade, and school (i.e. Trevor, 4, Sunset).
• Who created Pascal’s Triangle?  Do a little research and post a comment below.  Include the website or resource you used to find the information.

## 14 thoughts on “#6: The Mathematical Secrets of Pascal’s Triangle”

1. Dominic V. Oakdale says:

Ones are on the outside of the triangle and it also goes like 10 10 5 5 4 4

Yes Dominic, ones are on the outside, but where did you get the 10, 10, 5, 5, and 4, 4?

2. Cale S. Westbrook says:

I can now do the Pascal’s triangle easy

What did you learn about Pascal’s Triangle? Can you tell me the numbers in Row 10?

3. Maia J. Loveland,4 says:

The tenth row is 1,10,45,120,210,252,210,120,45,10,1

4. Evan 4, Loveland says:

I see now you do ones on the outside and then 12345678910 on the first inside. Then just add in triangles until you get on the tenth row 1 10 45 120 210 252 210 120 45 10 1

5. Robert, Loveland says:

The triangle is so sophisticated. What would it be used for?

DON’T READ THIS IF YOU DO NOT WANT TO KNOW WHAT THE TENTH ROW IS!!!!!!!!!!!!!!!!
Row 10 is: 1, 10, 45, 120, 210, 252, 210, 45, 10, 1

7. Alex C. Westgate, 6 says:

I learned that Pascal’s Triangle holds about ten different patterns…maybe more!

8. Jacob H., 4, Westbrook says:

I learned that the Pascal’s triangle is very useful.

9. Caleb D says:

The math triangles are cool. I didn’t notice the numbers in order down the triangle until they showed it.