Mathematics Curriculum Guide
Number Sense and Number Systems
Geometry In the Area of: Number Sense & Number Systems |
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| Refine, apply concepts of the real
number system.
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-Demonstrate the subsets of the reals. -Have class graph straight lines & parabolas. -Introduce the 7- bridges of Konigsberg problem. |
-Be shown all the subsets of the real number system by using
plastic boxes of different sizes. -Use Green Globs computer program. -Do paper and pencil problems on crossing and tracing.
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-Observe students in groups. -Students completion of computer lab. -Submit Konigsberg problem write- up.
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-Be asked to give examples of integers, rationals,
irrationals, etc. -Discover crossing patterns- tracing patterns. |
-Computer program in lab. -Geometry - Moise-Downs, p. 75. |
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Geometry In the Area of: Number Sense & Number Systems
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| 2
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| Develop, analyze algorithms.
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Introduce and use origami and patty paper as concrete models for algorithms throughout the course. | Make a cube and a stellated icosahedron (in groups) with origami; make various patty paper discoveries for known algorithms. | Make additional origami objects or patty paper examples.
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- Patty Paper - Michael Serra | ||
Geometry In the Area of: Number Sense & Number Systems
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| 3
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| Explain the nature of axiomatic
systems.
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Have a set optical illusions to show the class that conclusions should not be based solely on eyesight. | Discuss common sense vs. math methods. Use optical illusions to demonstrate how your, 'eyes,' can play tricks on you. | Students observed in group activities.
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Make any optical illusion. | ||
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