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9.3 ConceptsBy representing three-dimensional shapes in two-dimensions and constructing three-dimensional shapes from two-dimensional representations, students learn about the characteristics of shapes. NCTM Standards 2000, page 168-169Hexominoes are polygons formed by joining six squares along their edges. Three examples are shown in the exercise set for section 9.3. There are 35 hexominoes and 11 of them will fold into a cube. Find a method of identifying those 11 hexominoes and describe your procedure with diagrams of all 11. 9.3 Teaching Global Positioning System (GPS) devices are found in boats, cars, and more and more frequently sold as handheld units. These systems give accurate readings of your position on earth in terms of latitude and longitude. Write a sequence of activities that gives students an understanding of latitude and longitude so that they can predict the approximate latitude and longitude of various places and cities on the world globe. 9.3 Concepts Make a list of three-dimensional forms found in your community (buildings, sculptures, etc.) that represent as many of the three-dimensional shapes in the text as possible. Document their locations and match each three-dimensional form to its corresponding geometric diagram. |