1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
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
- Post a comment describing a pattern you notice within the triangle
- 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.
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?
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?
The tenth row is 1,10,45,120,210,252,210,120,45,10,1
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
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
I learned that Pascal’s Triangle holds about ten different patterns…maybe more!
I learned that the Pascal’s triangle is very useful.
The math triangles are cool. I didn’t notice the numbers in order down the triangle until they showed it.
The Pascal Triangles are harder than they look, but I can still do them.
Wow that’s complicated but I think I got it the tenth row is 1,10,45120,210,252,210,45,10,1
The triangle is going by what the numbers add up to.