Math Curiosity: Odds & Squares
Students will try to explain why the first X odds add up to the same number as X2.
Here's a math curiosity that turns out to always be true (but don't tell students up front!):
- Take the first few odds and sum them.
- If we choose 3, we'd get 1 + 3 + 5 = 9
- Then, square the number of odds you chose: 32 also equals 9.
Try it for the first 5 odds:
- 1 + 3 + 5 + 7 + 9 = 25
- 52 = 25
Let students explore! Does it always work? Can they break it? Can they explain the pattern? A visual explanation is included in the video.