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The Importance Of Number Theory
 
Project Description
 
Students will learn the importance of numbers and their properties as they relate to mathematical procedures. For example,  the identify property associated with multiplication and addition is essential to multiplication of fractions in several ways. Why does this property work?  Why is it important?  As a result of practices such as these students are better able to understand the relationship between properties, math families, and other related facts, thereby enabling them to develop strategies that will strengthen their knowledge base in mathematics.
 

 
Project Goals
 
Essential Question:
What strategies can be used to bridge understanding of mathematic  principles?
 
Specific Questions:

  • Explain how primes are important in number recognition.

  • Identify the importance of factors when reducing fractions.

  • Explain how divisibility rules can facilitate other mathematical operations

 
 

 
Illinois and CPS Learning Standards and Performance Assessment Plan

 

State Goal

CAS letter

CFS #

Assessment Tool

         8

         

D,C,B,A

 

3,1,2

 

 

Checklist

Group Rubric

Writing Rubric

 

         6

 

E,C

C

2,3,1

8
 
 

 

Unit Prerequisites
 

·        Students must have a basic understanding of divisibility  rules.

·        Students are required to have a command of multiplication tables, math facts and math families.

·        Students are expected to recognize the “order of operation” and it’s importance in solving equations.

·        Students must be familiar with the basic properties of  addition, multiplication, subtraction and division.

·        Students are required to have a basic awareness in how to access sites through the Internet for practice and reinforcement of material taught.

·        Students must reference at least one resource site that offers examples of a math concept that can be shared with the class.

 
 

 
Performance Actions
 

Access:

  • Explore the rationale for reducing fractions

  • Interpret what takes place when negatives and positives are added

Interpret

  • Disentangle the distributive property of addition or multiplication

  • Provide a rationale as to why some numbers share the same divisibility rules

Produce: 

  • Through the use of art depict the  numerical/mathematical difference between the following variables X, X squared, and  2x

  • Create a recipe where the amount of each ingredient can be written in an equivalent measurement(s) other than the customary fractional representation+

Communicate:

  • Explain to the class how your art project reveals the difference between the various variables

  • Create a dish where you will use the same ingredients but a different equivalent/numerical measurement

Evaluate:

  • Check the accuracy of the answer to your equation by using some other object to test the applicability of the various forms of the mathematical variable.

  • Explain the value of using exponential properties in mathematical equations and formulas.

 
 

 
 

 

Teacher Resources
 

Description

Teacher Resources

 

General listing of sites

Teacher resource for lesson design

http://www.castletechnology.com/resources/connectededucator.html

 

Multiplication skills

http://www.naturalmath.com/mult/

 

Rules  and principles  for various concepts

http://www.mathforum.com/library/drmath/sets/elem_number_sense.html

 
 

 

 

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