Mathematics Curriculum Guide
Patterns, Relations and Functions
Geometry In the Area of: Patterns, Relations, & Functions |
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| 1
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| Develop problem situations with
geometric models & apply properties of figures.
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- Facilitate students as they construct kites, after learning
properties. - Have students discover geometric theorems. |
- Build kites using straws, string, paper, and glue. - Use the Geometric Sketchpad computer program.
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Fly kites. Does the kite fly high, or crash and burn??
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Explore geometric volume of 3-D kite.
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- Fractals in the Middle, kite section - Hathaway. - Computer program in lab.
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Geometry In the Area of: Patterns, Relations, & Functions |
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| 2
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| Demonstrate understanding of axiomatic systems through investigations and comparing various geometry's. | - Discuss the other 'geometries'. - Cut a Mobius Strip with a 1/2 twist, full twist, etc. - No Place Like Home. |
- Discuss Lobachevskian and Riemannian geometry. - Make a Mobius Strip. - Zounds!, pp. 102-103. |
Students submit to their groups explanations of the Mobius Strip. | - Write a report on Bolyai, Lobachevsky, etc. - Make and cut different Mobius Strips.
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Use any work on Mobius Strips.
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Geometry In the Area of: Patterns, Relations, & Functions |
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| 3
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| Apply, use trigonometric ratios in
problem situations involving right triangles.
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- Facilitate students as they use the various trig methods. - Define the angle of elevation and angle of depression. |
-Use trig methods and equipment (calculator, angle
measurement device) to measure the height of two different sighted objects which cannot be
measured directly. -Do various problems involving angle of elevation and depression.
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Geometry project DGT, p. 219. | Graphing calculator, angle measurement device (some type of
sighting instrument).
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