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Pre-Algebra
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Core Module
Algebra 1
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Algebra 2
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Common Questions
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What exact levels does it cover?
The Complete Suite includes the full curriculums for Pre-Algebra, Algebra 1, and Algebra 2. It covers everything from introduction to numbers to advanced trigonometric functions and vectors.
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Stop guessing your way through algebra.
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Get Started TodayChapter 1: Intro to Pre-Algebra
- Introduction to Numbers
Chapter 2: Whole Numbers
- Place Values
- Comparing Whole Numbers
- Rounding Up Numbers
Chapter 3: Operations on Whole Numbers
- Addition and Subtraction
- Multiplication
- Division
- Exponents
- Estimating Values
Chapter 4: Number Lines, Integers & Abs. Values
- Introduction to Integers & Absolute Value
- Comparing Integers and Absolute Value
- Operations on Integers
- Order of Operations
Chapter 5: Fundamental Arithmetic Properties
- Commutative Property
- Associative Property
- Distributive Property
- Identity Property
- Inverse Property
Chapter 6: Factors and Multiples
- Divisibility of Numbers
- Factors
- Finding the Greatest Common Factor (GCF)
- Multiples
Chapter 7: Fractions
- Introduction to Fractions
- Simplifying Fractions
- Comparing Fractions
- Addition and Subtraction of Fractions
- Multiplication and Division of Fractions
- Operations on Mixed Numbers
Chapter 8: Decimals
- Introduction to Decimals
- Comparing Decimals
- Rounding Up Decimals
- Operations on Decimals
- Scientific Notation
Unit 9: Fundamentals of Algebra
- Understanding Algebra
- Operations in Algebra
- Radicals in Algebra
- Solving Equations
- Solving Inequalities
Unit 10: Ratios, Proportions & Percentages
- Ratio and Proportion
- Setting Up and Solving Proportions
- Introduction to Percentages
- Solving Percentage Problems
- Unit Conversion
- Solving Percentage Problems with Applications
- Percentage Increase or Decrease
- Markup, Discount, and Tax
- Simple Interest Calculation
Unit 11: The Coordinate Plane
- Introduction to the Coordinate Plane
- Graphing Basic Linear Equations
Unit 12: Geometry
- Points, Lines and Planes
- Identifying Angles
- Parallel Lines
- 2D Shapes (Triangles and Parallelograms)
- Area and Perimeter
- Circle (Circumference and Area)
- Volume
Unit 13: Fundamentals of Probability
- Basic Probability Concepts
- Complementary Events
- Compound Events
Unit 14: Data Analysis & Representation
- Calculating Mean, Median, Mode, and Range
- Understanding Frequency Tables
- Creating Charts
Chapter 1: Intro to Algebra
- Introduction
- Definition of Terms in Algebra
Chapter 2: Add & Subtraction
- Addition and Subtraction in Algebra – Adding and Subtracting terms – Adding and Subtracting terms with Exponents – Adding and Subtracting with Multiple Like Terms
Chapter 3: Parenthesis
- Parenthesis in Algebra – Polynomial Expressions and Removing of Parenthesis
Chapter 4: Multiplication
- Multiplication in Algebra – Monomial x Monomial – Monomial x Polynomial – Polynomial x Polynomial
Chapter 5: Exponents
- Introduction and Laws of Exponents – Law 1 – Product Rule – Law 2 – Quotient Rule – Law 3 – Power of a Power – Rules of Exponents (Zero, Negative, Fractional)
- Exponents on Negatives, Monomials, and Polynomials
Chapter 6: Division
- Division in Algebra – Division of a Monomial by Monomial – Division of a Polynomial by a Monomial
- Division of Polynomial by Polynomial (Advanced)
Chapter 7: Radicals
- Introduction to Radicals
- Revision: Working with Perfect and Non-Perfect Radicals
- Working with Radicals of Monomials
- Operations on Radicals – Addition and Subtraction – Multiplication and Division
- Rationalization of Radical Denominators – Monomial Denominators – Binomial Denominators
Chapter 8: Factors & Factorization
- Factors and Factorization – Factoring Using Greatest Common Factor (GCF)
- Factoring by Grouping
- Factoring Quadratics
- Factoring the Difference of Two Squares
- Perfect Square Trinomials
Chapter 9: Equations
- Introduction to Equations
- One-Step Equations
- Two-Step Equations
- Equations with Fractions
- Equation with More than One Fraction
- Multi-Step Equations
- Solving Equations where Variables are Represented by Other Variables
- Change of Subject or Transpose of Formula
Chapter 10: Variation
- Introduction to Variation
- Direct Variation – Finding and Solving Equation – Determining if a Table or Graph represents Direct Variation
- Inverse Variation – Finding and Solving Equation – Determining if a Table or Graph represents Inverse Variation
- Joint Variation and Combined Variation
Chapter 11: Ratio, Proportion & %
- Ratio, Proportion, and Rates
- Percentages
- Percent Increase or Decrease
- Markup, Discount, and Tax
- Simple and Compound Interest
Chapter 12: Unit Conversions
- Unit Conversion – Single Unit Conversion – Multiple Unit Conversion
Chapter 13: Simultaneous Equations
- Solving by Elimination/Addition – Coefficient of one Variable is the same – Coefficient of one Variable is a multiple of the other – Coefficient of Variables are not related
- Solving by Substitution
Chapter 14: Quadratic Equations
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations with the Quadratic Formula
Chapter 15: Inequalities
- Solving Inequalities – Multiplying/dividing by negative – Solving Compound Inequalities
- Graphing of Inequalities – Form (variable, sign, number) – Form (number, sign, variable) – Writing Inequality from a Number line Graph – Compound Inequality from Number line
Chapter 16: Absolute Values
- Solving Absolute Value Equations
Chapter 17: Intro to Coord. Geometry
- Graphing of Points
- Graphing Lines with Points
- X-intercept and Y-intercept
Chapter 18: Linear Equations & Graphs
- Introduction to Slopes
- Finding the Slope from a Graph
- Slope-Intercept Form & Graphing
- Point-Slope Form
- Standard Form
- Parallel and Perpendicular Lines
Chapter 19: Graphing Systems
- Solving Simultaneous Equations by Graphing
Chapter 20: Functions & Relations
- Intro to Functions and Relations – Function Notations – Finding Domain/Range (Graph & No Graph) – Vertical Line Test
- Composite Functions – Operations & Inverse Functions
- Linear Functions and Graphs
- Linear Inequalities and Graphs
- Quadratic, Absolute Value & Piecewise Functions
Chapter 21: Probability
- Intro to Probability
- Complementary Events
- Compound Events
Chapter 22: Representing Data
- Frequency Table
- Bar Graphs & Line Graphs
- Pie Chart
- Box and Whiskers
Chapter 23: Word Problems
- Introduction to Word Problems
- Two-Step Equations Word Problems
- Proportion Word Problems
- Distance Rate Time Word Problems
- Mean, Median, Mode Word Problems
- Permutations & Combinations – Counting Principles – Permutation – Using Counting Principles – Permutation – Using Formula – Combination – Combination (handshake question)
- Age Word Problems
- Mixture Word Problems
- Work Word Problems
Unit 1: Foundations of Algebra
- Operations in Algebra
- Solving Linear Equations
- Solving Linear Inequalities
- Absolute Value Equations
Unit 2: Functions and Relations
- Intro to Functions and Relations
- Example: Functions and Relations
- Composite Functions
- Inverse Functions
- Linear Functions and Graphs
- Linear Inequalities and Graphs
Unit 3: Systems of Eq & Inequalities
- Solving Linear Systems Algebraically (Substitution)
- Solving Linear Systems Algebraically (Elimination)
- Solving Linear Systems by Graphing
- Graphing and Solving Systems of Inequalities
- Linear Programming
- Systems of Nonlinear Equations
Unit 4: Matrices and Determinants
- Introduction to Matrices
- Operations with Matrices
- Determinants
- Cramer’s Rule
- Identity and Inverse Matrices
Unit 5: Quadratic Functions
- Factoring and Solving Quadratic Equations
- Graphing Quadratic Functions
- The Quadratic Formula and the Discriminant
- Graphing Quadratic Inequalities
Unit 6: Abs. Value & Piecewise
- Absolute Value Functions
- Piecewise Functions
Unit 7: Polynomials
- Polynomial Operations
- Polynomial Division
- Theorems About Roots
- Expansion of Binomials
- Graphing Polynomial Functions
Unit 8: Rational Functions
- Introduction to Rational Functions
- Graphing Rational Functions
Unit 9: Trigonometry
- Trigonometric Ratios – The Core Ratios
- Trigonometric Ratios Practice
- Reciprocal Functions
- Radians and Degrees
- Common Angles in Trigonometry
- The Unit Circle
- Graphing Trigonometric Functions
- Transformations
- Basic Trigonometric Identities
- Real-World Applications of Trigonometry
Unit 10: Exp. & Log. Functions
- Exponential Functions and Their Graphs
- Logarithmic Functions
- Converting Between Logarithmic and Exponential Forms
- Graphs of Logarithmic Functions
- Solving Exponential and Logarithmic Equations
Unit 11: Sequences and Series
- Introduction to Sequences and Series
- Arithmetic (Linear) Sequences
- Geometric (Exponential) Sequences
- Infinite Geometric Series
Unit 12: Conic Sections
- Introduction to Conic Sections
- Circles
- Ellipses
- Parabolas
- Hyperbolas
Unit 13: Vectors & Parametric Eq.
- Introduction to Vectors
- Operations with Vectors
- Applications of Vectors
- Parametric Equations and Graphs