NUMBERS
CHAPTER 1: REAL NUMBERS
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1. NATURAL NUMBERS
A. NATURAL NUMBERS
1. Counting Numbers, Natural Numbers and Whole Numbers
2. Digits of a Number
3. Even and Odd Numbers
4. Powers of Natural Numbers
5. The Division Algorithm
–Activity: Mind Reading
B. PRIME NUMBERS
C. DIVISIBILITY
1. General Properties of Divisibility
2. Divisibility Rules
D. GREATEST COMMON FACTOR AND LEAST COMMON MULTIPLE
1. Prime Factorization
2. Greatest Common Factor
3. Least Common Multiple
4. Mixed Problems
–Activity: Napier’s Rods
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2. INTEGERS
A. POSITIVE AND NEGATIVE INTEGERS
B. OPERATIONS ON INTEGERS
1. Addition and Subtraction
2. Multiplication and Powers
3. Division and Mixed Operations
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3. RATIONAL NUMBERS
A. RATIONAL NUMBERS
B. FRACTIONS
1. Types of Fraction
2. Equivalent Fractions
3. Adding and Subtracting Fractions
4. Multiplying and Dividing Fractions
5. Comparing and Ordering Fractions
C. DECIMAL NUMBERS
1. Operations on Decimals Numbers
2. Repeating Decimals
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4. REAL NUMBERS
A. IRRATIONAL NUMBERS
B. REAL NUMBERS
1. Understanding Real Numbers
2. The Real Number Line
3. Properties of Real Numbers
4. Numerical Inequalities
C. ABSOLUTE VALUE
–Activity: The Golden Ratio
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5. MODULAR ARITHMETIC (OPTIONAL)
–Activity: ISBN Numbers
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CHAPTER 2: EXPONENTS AND RADICAL EXPRESSIONS
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1. INTEGER EXPONENTS
A. UNDERSTANDING INTEGER EXPONENTS
B. WORKING WITH INTEGER EXPONENTS
1. The Product Rule
2. The Quotient Rule
3. Power Rules
-Simplifying Rational Exponential Expression Vid 1 ,
-Adding Subtracting Exponential Expressions Vid 1 ,
-Adding Subtracting Exponential Expressions and Simplifying Vid 1 ,
-Substituting Exponential in Another Similar One Special Type Example Vid 1 ,
C. SCIENTIFIC NOTATION
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2. SQUARE ROOTS
A. UNDERSTANDING SQUARE ROOTS
B. PROPERTIES OF SQUARE ROOTS
-Perfect square examples simplify + 4 operations Vid 1 ,
-Moving Exponential Expressions Out of the Square Root Vid 1 ,
C. WORKING WITH SQUARE ROOTS
1. Addition and Subtraction Vid 1 ,
2. Multiplication and Division Vid 1 ,
3. Rationalizing a Denominator Vid 1 ,
4. Finding the Square Root of an Irrational Sum
Activity: Calculating Square Roots
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3. RADICAL EXPRESSIONS AND RATIONAL EXPONENTS
A. RADICAL EXPRESSIONS
1. nth Root of a Number
2. Properties of Radical Expressions
3. Working with Radical Expressions
-Moving Exponential Expressions Out of the Radicals Vid 1 ,
B. RATIONAL EXPONENTS
1. Understanding Rational Exponents
2. Laws of Rational Exponents
-Working with Rational Exponents Vid 1 ,
-Multiplying Dividing Radicals by Rational Exponents Vid 1 ,
C. EXPONENTIAL EQUATIONS
1. Equations of the Form af(x) = ag(x) Vid 1 ,
more types in chapter logarithm
C. RADICAL EQUATIONS
type 1 Vid 1 ,