Let Math Begin With Addition

This section is all about addition. The rules of addition apply to any kind of number you may have. You take two values (sometimes more) and put them together.

What's With That Triangle of Numbers?

That is a special triangle named after a mathematician named Pascal. Humans have been studying number patterns for thousands of years. As you move down each level, you should notice three things...

(1) A "1" is attached on the ends of each new row.

(2) The middle numbers are the sum of the two numbers above. A sum is the result of any addition problem. So level 3 has "1-2-1." Two ones were attached and the "2" was the sum of the ones from the previous row. (1+1 = 2)

(3) The sum of all of the numbers in each row doubles as you move down. Sum of Row-1 is 1. (1 = 1) Sum of Row-2 is 2. (1+1 = 2) Sum of Row-3 is 4. (1+2+1 = 4) Sum of Row-4 is 8. (1+3+3+1 = 8) Sum of Row-5 is 16. (1+4+6+4+1 = 16) The pattern will continue forever.

You may also see other patterns in the triangle. Notice the order of the numbers if you move diagonally. There's a lot to be learned from that little triangle. We'll use it as an example many times on the site.

RELATED ACTIVITIES

Single-Digit Addtion Word Problems
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Adding 2, 5, and 10 to an Original Value
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