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Content Area: Math
Index: 4.2A Grade 12 CPI 2
Standard: 4.2 - Geometry and Measurement
Strand: A - Geometric Properties
Cumulative Progress Indicator: 2 - The student will draw perspective views of 3D objects on isometric dot paper, given 2D representations (e.g., nets or projective views).
Grade: 12
Sample Activities:
· Pairs of students work together to describe and draw geometric figures. One student is given a picture involving one or more geometric figures and must describe the drawing to the other student without using the names of the figures. The second student, without seeing the figure, must visualize and represent the picture.
· Students create wind-up posterboard models of rotational three-dimensional solids. They cut out a plane figure such as a circle or a rectangle from posterboard, punch two holes in it near its edges, thread a cut rubberband through the holes, and attach the ends of the rubberband to the ends of a coathanger from which the horizontal wire has been removed. They then twist the rubber band to wind up the figure and release to "show" the solid.
· One long-term project that some high school teachers use for assessment is the following: Using a variety of means and materials, students begin by constructing models of the Platonic solids and other three dimensional geometric figures. They are then challenged to work in teams to find a relationship among the number of faces, vertices, and edges that holds for all of the solids (Euler's Formula: F + V - E = 2).
· Students read Flatland: A Romance of Many Dimensions by Edwin Abbott, a fascinating and imaginative story about life in a two-dimensional world.
· Students use a computer-aided design (CAD) program to investigate rotations of objects in three dimensions.
· Additional Framework Activities
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