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Kansas State Polytechnic

R.3 The Real Number System

 1: Classification of Real Numbers - Introducing Vocabulary of all Numbers

This video covers:
*How every number that you can think of can be classified
*How Russian dolls relate to classifying real numbers
*What symbol is used to represent each set of numbers

Vocabulary Words: Notation, Real Numbers, Rational and Irrational Numbers, Integers, Whole Numbers, Natural Numbers

 


 2: Classification of Real Numbers (Part 2) - Example of Labeling Numbers given a list

This video covers:
*Reviews how to classify integers, irrational numbers, rational numbers, and Real numbers; and the symbol to represent each
*Given a list of numbers, how to classify each of them given the categories above 

Examples:

Video 2 Examples

 


 3: Classification of Real Numbers (Part 3) - Examples of Identifying Elements and Subsets

This video covers:
*Reviews how to classify Real Numbers, Rational and Irrational Numbers, Integers, Whole Numbers, Natural Numbers; and the symbol to represent each
*The notation for 'element in' and 'subset of'
*Classifying statements as true or false involving elements and subsets
*Given a list of numbers, classify which numbers that fit into each of the groups identified in Video 1

Vocabulary Words: Element, Subset

Examples:

Video 3 Example 1

Video 3 Example 2

 


 4: Properties of Real Numbers (Part 1) - Commutative, Associative, and Distributive Property

This video covers:
*Commutative Property of Addition and Multiplication
*Associative Property of Addition and Multiplication
*Distributive Property
*Feeding the Dog/Cat/Turtle/etc. 

Vocabulary Words: Commutative, Associative, Distributive

Examples:

Video 4 Examples

 


 5: Properties of Real Numbers (Part 2) - Identity and Inverse Property

This video covers:
*Identity Property of Addition and Multiplication
*Inverse Property of Addition and Multiplication
*What happens when a fraction has 0 (zero) in the denominator
*Review of all Properties

Vocabulary Words: Identity, Inverse, Reciprocal 

Examples:

Video 5 Examples

 


 6: Evaluating a Variable Expression - Substituting Numbers in for Letters

This video covers:
*Why math/algebra uses letters

Vocabulary Words: Variable, Variable Expression, Substitution

Examples:

 Video 6 Examples

 


Coming soon:
(1) Calculator Video: Storing numbers into letters to check "Evaluating a Variable Expression"