- Students understand properties of area:
1.Students understand that the area of a set in the plane is a number greater than or equal to zero thatmeasures the size of the set and not the shape.
2.The area of a rectangle is given by the formula length×width. The area of a triangle is given by theformula 1/2 base×height. A polygonal region is the union of finitely many non-overlapping triangular regions and has area the sum of the areas of the triangles.
3.Congruent regions have the same area.
4.The area of the union of two regions is the sum of the areas minus the area of the intersection.
5.The area of the difference of two regions where one is contained in the other is the difference of the areas.