Take a 1x1 square. Count how many squares there are total (duh). Now take a 2x2 square. Count the total number of squares (including the larger one that is formed by the outside of the whole thing). Take a 3x3 square and find the total. How many squares would there be in a 10x10 square? How about an NxN square?Now do the same thing with triangles - take a look at the pictures below. How many total triangles in a triangle that's 10 units on a side? How about N units?

Make sure you explain your answer thoroughly. The students who submit winning entries to the Project of the Month are rarely the only ones who had the right answer, but they are always the ones who submitted the clearest and most complete explanation.

**Rules for Submitting a Solution**- Who is eligible to submit a solution? How must the solutions be submitted?
**How to Submit Your Solution**- Email your solution to annie@mathforum.org. You can include graphics, Sketchpad files, text, etc, or make your own web page. However, before you put TOO much work into a "specialized format" (like Microsoft Office or some funky Windows graphics program), send along a sample and see if we can read it.
**Solutions and Prizes**- You can win valuable Math Forum merchandise! We might even do tie-dyes if your solution is really cool.
**Past Projects and the Winning Solutions**- Check here to see some of the past solutions students have submitted and learn what it takes to be a winner.

[**Privacy Policy**]
[**Terms of Use**]

Math Forum Home ||
Math Library ||
Quick Reference ||
Math Forum Search

© 1994-2016 The Math Forum at NCTM. All rights reserved.

http://mathforum.org/