Changing Dimensions

Grade 9s are working on calculating area and volume and perimeter, but then also seeing how these will change if dimensions are doubled or tripled or multiplied by other factors.

We’re expanding on what we learned with algebra and toothpicks when we built models of (x)^2 and (3x)^2, when we triple the side length the area is multiplied by 9.

We connect this to our volume calculations as well like converting 1 cubic yard into cubic feet. We know there are 3 feet in a yard, so 1 cubic yard is (3feet)^3 which is 27 cubic feet.

These ideas blend so many of our skills, it’s important to spend a bit of time connecting all the concepts and representations that we know.