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Content Area: Math
Index: 4.2E Grade 8 CPI 1
Standard: 4.2 - Geometry and Measurement
Strand: E - Measuring Geometric Objects
Cumulative Progress Indicator: 1 - The student will develop and apply strategies for finding perimeter and area. · Geometric figures made by combining triangles, rectangles and circles or parts of circles · Estimation of area using grids of various sizes · Impact of a dilation on the perimeter and area of a 2-dimensional figure
Grade: 8
Sample Activities:
· Students develop a formula for finding the surface area of a rectangular prism by constructing boxes of various sizes using graph paper, finding the area of each side and adding them, and looking for patterns in their results. They describe their findings in their journals.
· Students construct different parallelograms whose base and height have the same length on their geoboards. They sketch each parallelogram and record its area (found by counting squares). They discuss their results.
· Students work through the Sketching Similarities lesson that is described in the First Four Standards of this Framework. They use a computer program and measure the sizes of the corresponding sides and corresponding angles of similar figures. They conclude that similar figures have equal corresponding angles and their corresponding sides have the same ratio.
· Students use plastic models of a pyramid and a prism, each having the same height and polygonal base, to investigate the relationship between their volumes.
Vignettes (PDF Format)
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