Mathematics Curriculum Guide

Number Sense and Number Systems

Geometry

In the Area of: Number Sense & Number Systems

1

 

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  Refine, apply concepts of the real number system.

 

-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.

 

-Observe students in groups.

-Students completion of computer lab.

-Submit Konigsberg problem write- up.

 

-Be asked to give examples of integers, rationals, irrationals, etc.

-Discover crossing patterns- tracing patterns.

-Computer program in lab.

-Geometry - Moise-Downs, p. 75.

Geometry

In the Area of: Number Sense & Number Systems

 

2

 

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  Develop, analyze algorithms.

 

 

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.

 

- Patty Paper - Michael Serra

Geometry

In the Area of: Number Sense & Number Systems

 

3

 

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  Explain the nature of axiomatic systems.

 

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.

 

Make any optical illusion.  

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