What is one thing about these squares that is special?

The answer: the area of the small square + the area of the medium square = the area of the large square. This is because of the Pythagorean Theorem. The Pythagorean Theorem states that a^2 + b^2 = c^2 . (^2 = squared) To find the hypotenuse (C) of  triangle, multiply the area of a and b, then you square the area to get the side length of the hypotenuse. For example, 9+16 = 25. The square root of 25 is 5, maling the side length 5.

  

This is Carlos. Carlos is going to show us how dimensions change.

When you double the dimensions, you have a Scale Factor of 2. The new perimeter of Carlos is 2 times larger than the orginal Carlos. The area of Carlos becomes 4 times larger. When Carlos triples, the Scale Factor becomes 3. Your new area and perimeter are now found with a scale factor of 3 because you are tripling the dimensions.  The new perimeter of Carlos is now 3 times larger than the orginal Carlos. The area of Carlos becomes 9 times larger than the original figure.