SS6.2
Extend and apply understanding of perimeter of polygons, area of rectangles, and volume of right rectangular prisms (concretely, pictorially, and symbolically) including:
  • relating area to volume
  • comparing perimeter and area
  • comparing area and volume
  • generalizing strategies and formulae
  • analyzing the effect of orientation
  • solving situational questions.

[CN, PS, R, V]

Indicators for this outcome
(a)

Generalize formulae and strategies for determining the perimeter of polygons, including rectangles and squares.

(b)

Generalize a formula for determining the area of rectangles.

(c)

Explain, using models, the relationship between the area of the base of a right rectangular prism and the volume of the same 3-D object.

(d)

Generalize a rule (formula) for determining the volume of right rectangular prisms.

(e)

Analyze the effect of orientation on the perimeter of polygons, area of rectangles, and volume of right rectangular prisms.

(f)

Solve a situational question involving the perimeter of polygons, the area of rectangles, and/or the volume of right rectangular prisms.

(g)

Critique the following statements using concrete or pictorial models:

  • "For any two right rectangular prisms, the one with the greater volume will be the prism that has the greatest base area".
  • "For any two rectangles, the rectangle with the greatest perimeter will also have the greatest area".
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