Wilson's shaded squares.

Suppose we want to double the dimensions of this rectangle. Draw your figure using as many different methods as you can. Explain your method in words (open-ended approach p.72)

Test this conjecture: If the sides of a figure are doubled to produce a similar figure, the area and volume will also double. Investigate with 2-dimensional and extrapolate to 3-dimensional figures.

Determine the maximum volume of a box created by a piece of cardboard that measures 20 in. X 18 in. Show your solution using GSP, Algebra Expressor, and a Spreadsheet.

 


Day 8