Course Contents

Course Name: Pre-Algebra (New) - 7th/8th Grade
  • 1. Numbers Review
  •  1.1 Whole Numbers
  •  1.2 Integers
  •  1.3 Positive and Negative Integers
  •  1.4 Rational and Irrational Numbers
  •  1.5 Decimal Numbers
  •  1.6 Real Numbers
  •  1.7 Prime Numbers
  •  1.8 Percentages
  • 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 Fractions and Whole Numbers
  •  2.9 Adding Mixed Fractions
  •  2.10 Multiplying Fractions
  •  2.11 Multiplying Fractions and Whole Numbers
  •  2.12 Subtracting Fractions
  •  2.13 Subtracting Fractions and Whole Numbers
  •  2.14 Subtracting Mixed Fractions
  •  2.15 Dividing Fractions
  •  2.16 Dividing Fractions and Whole Numbers
  • 3. Real Numbers
  •  3.1 Real Numbers
  •  3.2 The Number Line
  •  3.3 Comparing Real Numbers
  •  3.4 Properties of Real Numbers
  •  3.5 Adding Real Numbers
  •  3.6 Subtracting Real Numbers
  •  3.7 Multiplying Real Numbers
  •  3.8 Dividing Real Numbers
  •  3.9 Order of Operations
  •  3.10 Mixed Operations with Real Numbers
  • 4. Powers and Roots
  •  4.1 Squares and Square Roots
  •  4.2 Cubes and Cube Roots
  •  4.3 Power of n and nth Roots
  •  4.4 Powers of 10
  •  4.5 Simplifying Square Roots
  •  4.6 Simplifying Cube Roots
  •  4.7 Scientific Notation
  • 5. Exponents
  •  5.1 Understanding Exponents
  •  5.2 Basic Rules of Exponents
  •  5.3 Laws of Exponents
  •  5.4 Expressions Raised to a Power
  •  5.5 Fractional Exponents
  •  5.6 Negative Exponents
  •  5.7 Multiplying & Dividing with Negative Exponents
  •  5.8 Simplifying Exponential Expressions
  •  5.9 Evaluating Exponential Expressions
  • 6. Variables
  •  6.1 Variables
  •  6.2 Like and Unlike Terms
  •  6.3 Canceling Variables
  •  6.4 The Addition Operation with Variables
  •  6.5 The Subtraction Operation with Variables
  •  6.6 The Multiplication Operation with Variables
  •  6.7 The Division Operation with Variables
  • 7. Expressions, Equations and Formulas
  •  7.1 Expressions and Equations
  •  7.2 Writing Expressions and Equations
  •  7.3 Writing Equations and Formulas
  •  7.4 Problem Solving using Formulas
  •  7.5 Comparing Real Number Expressions
  •  7.6 Simplifying Expressions
  •  7.7 Evaluating Expressions
  •  7.8 Simplifying Radical Expressions
  •  7.9 Word Problems
  • 8. The Coordinate Plane
  •  8.1 The Coordinate Plane
  •  8.2 Graphing Points on a Coordinate Plane
  •  8.3 Graphing Linear Relations
  •  8.4 Graphing Linear Relations using a t-Table
  •  8.5 Making Predictions from Linear Patterns
  • 9. Linear Equations and Formulas
  •  9.1 Introduction to Linear Equations
  •  9.2 Linear Equations with One Variable
  •  9.3 Writing Linear Equations with One Variable
  •  9.4 Solving Linear Equations with One Variable
  •  9.5 Word Problems with Linear Equations
  • 10. Linear Equations and Slope
  •  10.1 Introduction to the Slope of a Straight Line
  •  10.2 Finding Slope When Given 2 Points
  •  10.3 Slope-Intercept Form of a Linear Equation
  •  10.4 Writing Linear Equations When Given 2 points
  •  10.5 Writing Linear Equations When Given Slope & a Point
  •  10.6 Using Linear Equations to Find Parallel Lines
  • 11. Quadratic Equations and Parabolas
  •  11.1 Quadratic Equations
  •  11.2 Graphing Quadratic Equations
  •  11.3 Introduction to Parabolas
  •  11.4 Identifying Equations and Graphing Parabolas
  •  11.5 Identifying Linear and Non-linear Equations
  • 12. Linear Inequalities
  •  12.1 Linear Inequalities with One Variable
  •  12.2 Solving Linear Inequalities with One Variable
  •  12.3 Solving Linear Inequalities by Addition & Subtraction
  •  12.4 Solving Linear Inequalities by Multiplication & Division
  •  12.5 Solving Multi-Step Linear Inequalities
  • 13. 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 Binomial Products
  • 14. Factoring
  •  14.1 Factors and Prime Factorization
  •  14.2 Greatest Common Factor of Monomials
  •  14.3 Factoring Polynomials using the Distributive Property
  •  14.4 Factoring Polynomials using Grouping
  •  14.5 Factoring Trinomials: x2 + bx + c
  •  14.6 Factoring Trinomials: ax2 + bx + c
  •  14.7 Factoring the Difference of Squares
  •  14.8 Simplifying Algebraic Ratios
  •  14.9 Solving Algebraic Proportions
  • 15. Pythagorean Theorem and Triangles
  •  15.1 Triangles and their Properties
  •  15.2 The Pythagorean Theorem
  •  15.3 The Distance Formula
  • 16. Introduction to Trigonometric Functions
  •  16.1 Primary Trigonometric Functions
  •  16.2 Secondary Trigonometric Functions
  •  16.3 Measuring Angles in Degrees and Radians
  •  16.4 Trigonometric Functions of Special Angles
  •  16.5 Trigonometric Functions on the Coordinate Plane
  •  16.6 Pythagorean Identities