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SS6.2 SS8.3 Area and Perimetre
1. SS8.3 Demonstrate understanding of volume limited to right prisms and
cylinders (concretely, pictorially, or symbolically) by:
âą relating area to volume
âą generalizing strategies and formulae
âą analyzing the effect of orientation
âą solving problems.
SS6.2 Extend and apply understanding of perimeter of polygons, area of
rectangles, and volume of right rectangular prisms (concretely, pictorially,
and symbolically) including:
âą relating area to volume
âą comparing perimeter and area
âą comparing area and volume
âą generalizing strategies and formulae
âą analyzing the effect of orientation
âą solving situational questions.
SS5.3 Demonstrate an understanding of volume by:
âą selecting and justifying referents for cmÂł or mÂł units
âą estimating volume by using referents for cmÂł or mÂł
âą measuring and recording volume (cmÂł or mÂł)
âą constructing rectangular prisms for a given volume.
http://www.mathsnet.net/geometry/solid/box/index.html
Task: Tommy was wonderingâŠWhat is the relationship of the area of the
base to the volume of the rectangular prism? Use the manipulatives to
explain the relationship.
Problem: Which box will hold more sand?
âą one that has a length of 5 units, a width of 4 units and a height of 2
units
OR
âą one that has a length of 4 units, a width of 4 units and a height of 3
units.
Make a prediction first.
**The problem can be adapted for different grade levels.