Distance, Area, Volume Unit Study
Day 7: Area - Squares, Rectangles, and Triangles
Measuring area answers the question how big is it. Formulas used to calculate area and perimeter were introduced to my son when he was exploring math on Khan Academy. Unfortunately, he didn't really understand what area and perimeter were, so he came away thoroughly confused.
Then we explored triangles. On the right side of the picture below, there is a one inch string, a one square inch piece of paper, a one-half square inch of paper cut into a rectangle, and a one-half square inch of paper cut into a triangle. The middle column contains the same figures, but double the size.
So they were given the large triangle and asked how big it was.
This method of discovery mathematics is very important for my son. He learns best when he figures something out for himself. He is a natural problem solver who does not learn well with explanation and example.