Course Contents
Course Name: Pre-Algebra
- 1. Numbers Review
- 1.1 Whole Numbers
- 1.2 Positive and Negative Numbers
- 1.3 Integers
- 1.4 Decimals
- 1.5 Real Numbers
- 1.6 Prime Numbers
- 1.7 Rational & Irrational Numbers
- 1.8 Percents
- 2. Fractions and Operations with Fractions
- 2.1 Understanding Fractions
- 2.2 Equivalent Fractions
- 2.3 The Greatest Common Factor
- 2.4 The Least Common Multiple
- 2.5 The Least Common Denominator
- 2.6 Reducing Fractions
- 2.7 Adding Fractions
- 2.8 Adding a Fraction and a Whole Number
- 2.9 Multiplying Fractions
- 2.10 Multiplying a Fraction and a Whole Number
- 2.11 Subtracting Fractions
- 2.12 Subtracting a Fraction and a Whole Number
- 2.13 Dividing Fractions
- 2.14 Dividing a Fraction and a Whole Number
- 3. Real Numbers and Operations with Real Numbers
- 3.1 Real Numbers
- 3.2 The Number Line
- 3.3 Number Comparisons using the Number Line
- 3.4 Properties of Real Numbers
- 3.5 Addition with Real Numbers
- 3.6 Subtraction with Real Numbers
- 3.7 Multiplication with Real Numbers
- 3.8 Division with Real Numbers
- 3.9 Order of Operations
- 3.10 Mixed Operations
- 4. Powers and Roots
- 4.1 Square
- 4.2 Cube
- 4.3 Power of 4 and Higher
- 4.4 Square Roots
- 4.5 Cube Roots
- 5. Exponents
- 5.1 Understanding Exponents
- 5.2 Multiplying Exponents with the Same Base
- 5.3 Multiplying Fractional Exponents with the Same Base
- 5.4 Multiplying Exponents Raised to an Exponent
- 5.5 Expressions Raised to a Power
- 5.6 Fractions Raised to a Power
- 5.7 More about Multiplying Exponents
- 5.8 Negative Exponents
- 5.9 Multiplying with Negative Exponents
- 5.10 Dividing with Exponents
- 6. Variables and Operations with the Variables
- 6.1 The Variables
- 6.2 Combining Like Terms
- 6.3 Canceling with Variables
- 6.4 Basic Operations with Variable
- 6.4.1 Addition with Variables
- 6.4.2 Subtraction with Variables
- 6.4.3 Multiplication with Variables
- 6.4.4 Division with Variables
- 7. Expressions, Equations and Formulas
- 7.1 Expressions and Equations
- 7.2 Writing Expressions and Equations
- 7.3 Formulas and Problem Solving Using Formulas
- 7.4 Comparing Real Number Expressions
- 7.5 Simplifying and Evaluating Expressions
- 7.6 Simplifying Radical Expressions
- 7.7 Word Problems
- 8. The Coordinate Plane and Graphs
- 8.1 The Coordinate Plane
- 8.2 Graphing Points in the Coordinate Plane
- 8.3 Graphing Linear Relations
- 8.4 The t-Table
- 8.5 Making Predictions from Linear Patterns
- 9. Linear Equations
- 9.1 Introduction to Linear Equations
- 9.2 Linear Equations with One Variable
- 9.3 Writing and Solving One Step Linear Equations
- 9.4 More about Solving One Step Linear Equations
- 10. Linear Equations and Slope
- 10.1 Slope of a Linear Equation
- 10.2 Slope-Intercept Form
- 10.3 Writing Equations in a Slope-Intercept Form
- 10.4 Writing Equations using a Point and a Slope
- 10.5 Parallel Lines
- 11. Quadratic Equations and Parabola
- 11.1 Quadratic Equations
- 11.2 Graphing Quadratic Equations
- 11.3 Introduction to Parabola
- 11.4 Identifying Equations with Graph that is Parabola
- 11.5 Identifying Non-linear Equations
- 12. Linear Inequalities
- 12.1 Linear Inequalities
- 12.2 Writing and Solving Linear Inequalities
- 12.3 Solving linear inequalities by addition and subtraction
- 12.4 Solving linear inequalities by multiplication and division
- 12.5 Solving Multi-step inequalities
- 13. Monomials and Polynomials
- 13.1 Monomials and Degree of Monomials
- 13.2 Multiplying Monomials
- 13.3 Polynomials and Degree of Polynomials
- 13.4 Adding and Subtracting Polynomials
- 13.5 Multiplying a Polynomial by a Monomial
- 13.6 Multiplying Polynomials
- 13.7 Special Products of Polynomials
- 14. Factoring
- 14.1 Factors and the Greatest Common Factor
- 14.2 Factoring Using the Distributive Property
- 14.3 Factoring Trinomials: x2 + bx + c
- 14.4 Factoring Trinomials: ax2 + bx + c
- 14.5 Factoring Difference of squares
- 14.6 Simplifying Algebraic Ratios
- 14.7 Solving Algebraic Proportions
- 15. Pythagorean Theorem and Triangles
- 15.1 Triangles and Properties of Triangles
- 15.2 Pythagorean Theorem
- 15.3 The Distance Formula
- 16. Introduction to Trigonometric Functions
- 16.1 Trigonometric Functions
- 16.2 Reciprocal Functions
- 16.3 Degrees and Radian Measures
- 16.4 Finding Trigonometric Values
- 16.5 Coordinate Plane and Trigonometric Functions
- 16.6 Trigonometric Identity and Pythagorean Theorem