Mathematics Curriculum Guide

Number Sense and Number Systems

Analysis

In the Area of: Number Sense & Number Systems

1

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Explain logarithms from a historical perspective.

 

 

Introduce idea of the evolution of the use of the use of logarithms. Recognize differences between slide rule and calculator. Manipulate Napier's Bones.

 

Enrichment Activity. Bonus Extension is for research to be done on evaluation of other math typica

 

Carry out the activities as listed in project. Functions, Statistics, Trigonometry - Scott Foreman, pg. 260.

 

Analysis

In the Area of: Number Sense & Number Systems

 

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

 

  Compare algebra of real, rational, and complex numbers with characteristics of a matrix algebra system.

 

Use, "Venn-diagram," type chart to illustrate how number system expands from natural - complex.   Explain similarities and differences among sets of numbers Create a series of problems showing why different kinds of numbers were needed as solutions.

 

 

Analysis

In the Area of: Number Sense & Number Systems

 

3

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Determine, apply vectors and linear algebra to higher dimensional situations.

 

         

Analysis

In the Area of: Number Sense & Number Systems

 

4

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Extend relationships between vectors and complex numbers.

 

Give several examples of graphs of complex numbers. Divide class into groups. Give them a table sheet.

 

Present provable theorem ideas developed from graphing.

 

Each group will present their results in the form of a college professor presenting to his students.

 

Develop a theorem for graphs of complex roots. This will be developed into a discussion format. Pre-Calculus Activities - Instructional Fair. p. 57.

Analysis

In the Area of: Number Sense & Number Systems

 

5

 

Outcome
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Instructional Strategies
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Learning Activities
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Assessment

 

Extension
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Resources

 

  Apply polar and parametric equations to represent problem situations.

 

         

Analysis

In the Area of: Number Sense & Number Systems

 

6

 

Outcome
(The student will...)

 

Instructional Strategies
(The teacher may...)

 

Learning Activities
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Assessment

 

Extension
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Resources

 

  Develop, generate arguments about limit situations.

 

Discuss, "end behavior," of certain functions. Discuss asymptotes. Give limit notation.

 

Use function rules to graph and investigate end behavior.      

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