Mathematics Curriculum Guide

Patterns, Relations and Functions

Geometry

In the Area of: Patterns, Relations, & Functions

1

 

Outcome
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Instructional Strategies
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Assessment

 

Extension
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Resources

 

  Develop problem situations with geometric models & apply properties of figures.

 

- 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.

 

Fly kites. Does the kite fly high, or crash and burn??

 

Explore geometric volume of 3-D kite.

 

- Fractals in the Middle, kite section - Hathaway.

- Computer program in lab.

 

Geometry

In the Area of: Patterns, Relations, & Functions

2

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  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.

 

Use any work on Mobius Strips.

 

Geometry

In the Area of: Patterns, Relations, & Functions

3

 

Outcome
(The student will...)

 

Instructional Strategies
(The teacher may...)

 

Learning Activities
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Assessment

 

Extension
(The student will...)

 

Resources

 

  Apply, use trigonometric ratios in problem situations involving right triangles.

 

- 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.

 

  Geometry project DGT, p. 219. Graphing calculator, angle measurement device (some type of sighting instrument).

 

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