SS6.2 SS8.3 Area and Perimetre

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SS6.2 SS8.3 Area and Perimetre

  1. 1. SS8.3 Demonstrate understanding of volume limited to right prisms andcylinders (concretely, pictorially, or symbolically) by:• relating area to volume• generalizing strategies and formulae• analyzing the effect of orientation• solving problems.SS6.2 Extend and apply understanding of perimeter of polygons, area ofrectangles, 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.SS5.3 Demonstrate an understanding of volume by:• selecting and justifying referents for cm³ or m³ units• estimating volume by using referents for cm³ or m³• measuring and recording volume (cm³ or m³)• constructing rectangular prisms for a given volume.http://www.mathsnet.net/geometry/solid/box/index.htmlTask: Tommy was wondering…What is the relationship of the area of thebase to the volume of the rectangular prism? Use the manipulatives toexplain the relationship.Problem: Which box will hold more sand? • one that has a length of 5 units, a width of 4 units and a height of 2 units OR • 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.

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