Course curriculum

  • 1
    Preliminary Information
  • 2
    Chapter 1 - Introduction to Algebra
    • 1.1 Lesson - Variables FREE PREVIEW
    • 1.1 Lesson Notes, Homework Questions & Answers FREE PREVIEW
    • 1.1 Homework Video - Variables FREE PREVIEW
    • 1.2 Lesson - Grouping Symbols
    • 1.2 Lesson Notes, Homework Questions & Answers
    • 1.2 Homework Video - Grouping Symbols
    • 1.3 Lesson - Equations
    • 1.3 Lesson Notes, Homework Questions & Answers
    • 1.3 Homework Video - Equations
    • 1.4 Lesson - Translating Words into Symbols
    • 1.4 Lesson Notes, Homework Questions & Answers
    • 1.4 Homework Video - Translating Words into Symbols
    • 1.5 Lesson - Translating Sentences into Equations
    • 1.5 Lesson Notes, Homework Questions & Answers
    • 1.5 Homework Video - Translating Sentences into Equations
    • 1.6 Lesson - Translating Problems into Equations
    • 1.6 Lesson Notes, Homework Questions & Answers
    • 1.6 Homework Video - Translating Problems into Equations
    • 1.7 Lesson - A Problem Solving Plan
    • 1.7 Lesson Notes, Homework Questions & Answers
    • 1.7 Homework Video - A Problem Solving Plan
    • 1.8 Lesson - Number Lines
    • 1.8 Lesson Notes, Homework Questions & Answers
    • 1.8 Homework Video - Number Lines
    • 1.9 Lesson - Opposites and Absolute Value
    • 1.9 Lesson Notes, Homework Questions & Answers
    • 1.9 Homework Video - Opposites and Absolute Values
  • 3
    Chapter 2 - Working With Real Numbers
    • 2.1 Lesson - Basic Assumptions
    • 2.1 Lesson Notes, Homework Questions & Answers
    • 2.1 Homework Video - Basic Assumptions
    • 2.2 Lesson - Addition on a Number Line
    • 2.2 Lesson Notes, Homework Questions & Answers
    • 2.2 Homework Video - Addition on a Number Line
    • 2.3 Lesson - Rules for Addition
    • 2.3 Lesson Notes, Homework Questions & Answers
    • 2.3 Homework Video - Rules for Addition
    • 2.4 Lesson - Subtracting Real Numbers
    • 2.4 Lesson Notes, Homework Questions & Answers
    • 2.4 Homework Video - Subtracting Real Numbers
    • 2.5 Lesson - The Distributive Property
    • 2.5 Lesson Notes, Homework Questions & Answers
    • 2.5 Homework Video - The Distributive Property
    • 2.6 Lesson - Rules for Multiplication
    • 2.6 Lesson Notes, Homework Questions & Answers
    • 2.6 Homework Video - Rules for Multiplication
    • 2.7 Lesson - Consecutive Integers
    • 2.7 Lesson Notes, Homework Questions & Answers
    • 2.7 Homework Video - Consecutive Integers
    • 2.8 Lesson - The Reciprocal of a Real Number
    • 2.8 Lesson Notes, Homework Questions & Answers
    • 2.8 Homework Video - The Reciprocal of a Real Number
    • 2.9 Lesson - Dividing Real Numbers
    • 2.9 Lesson Notes, Homework Questions & Answers
    • 2.9 Homework Video - Dividing Real Numbers
  • 4
    Chapter 3 - Solving Equations and Problems
    • 3.1 Lesson - Transforming Equations by Adding or Subtracting
    • 3.1 Lesson Notes, Homework Questions & Answers
    • 3.1 Homework Video - Transforming Equations (Add,Subt)
    • 3.2 Lesson - Transforming Equations by Multiplying or Dividing
    • 3.2 Lesson Notes, Homework Questions & Answers
    • 3.2 Homework Video - Transforming Equations (x,Div)
    • 3.3 Lesson - Using Several Transformations
    • 3.3 Lesson Notes, Homework Questions & Answers
    • 3.3 Homework Video - Using Several Transformations
    • 3.4 Lesson - Using Equations to Problem Solve
    • 3.4 Lesson Notes, Homework Questions & Answers
    • 3.4 Homework Video - Using Equations to Problem Solve
    • 3.5 Lesson - Equations with the Variable on Both Sides
    • 3.5 Lesson Notes, Homework Questions & Answers
    • 3.5 Homework Video - Equations with Variables on Both Sides
    • 3.6 Lesson - Problem Solving Using Charts
    • 3.6 Lesson Notes, Homework Questions & Answers
    • 3.6 Homework Video - Problem Solving Using Charts
    • 3.7 Lesson - Cost, Income, and Value Problems
    • 3.7 Lesson Notes, Homework Questions & Answers
    • 3.7 Homework Video - Cost, Income, and Value Problems
  • 5
    Chapter 4 - Polynomials
    • 4.1 Lesson - Exponents
    • 4.1 Lesson Notes, Homework Questions & Answers
    • 4.1 Homework Video - Exponents
    • 4.2 Lesson - Adding and Subtracting Polynomials
    • 4.2 Lesson Notes, Homework Questions & Answers
    • 4.2 Homework Video - Adding and Subtracting Polynomials
    • 4.3 Lesson - Multiplying Monomials
    • 4.3 Lesson Notes, Homework Questions & Answers
    • 4.3 Homework Video - Multiplying Monomials
    • 4.4 Lesson - Powers of Monomials
    • 4.4 Lesson Notes, Homework Questions & Answers
    • 4.4 Homework Video - Powers of Monomials
    • 4.5 Lesson - Multiplying Polynomials by Monomials
    • 4.5 Lesson Notes, Homework Questions & Answers
    • 4.5 Homework Video - Multiplying Polynomials by Monomials
    • 4.6 Lesson - Multiplying Monomials
    • 4.6 Lesson Notes, Homework Questions & Answers
    • 4.6 Homework Video - Multiplying Polynomials
    • 4.7 Lesson - Transforming Formulas
    • 4.7 Lesson Notes, Homework Questions & Answers
    • 4.7 Homework Video - Transforming Formulas
    • 4.8 Lesson - Rate-Time-Distance Problems
    • 4.8 Lesson Notes, Homework Questions & Answers
    • 4.8 Homework Video - Rate-Time-Distance Problems
    • 4.9 Lesson - Area Problem
    • 4.9 Lesson Notes, Homework Questions & Answers
    • 4.9 Homework Video - Area Problems
    • 4.10 Lesson - Problems with No Solutions
    • 4.10 Lesson Notes, Homework Questions & Answers
    • 4.10 Homework Video - Problems with No Solutions
  • 6
    Chapter 5 - Factoring Integers
    • 5.1 Lesson - Factoring Integers
    • 5.1 Lesson Notes, Homework Questions & Answers
    • 5.1 Homework Video - Factoring Integers
    • 5.2 Lesson - Dividing Monomials
    • 5.2 Homework Video - Dividing Monomials
    • 5.2 Lesson Notes, Homework Questions & Answers
    • 5.3 Lesson - Monomial Factors of Polynomials
    • 5.3 Lesson Notes, Homework Questions & Answers
    • 5.3 Homework Video - Monomial Factors of Polynomials
    • 5.4 Lesson - Multiplying Binomials Mentally
    • 5.4 Lesson Notes, Homework Questions & Answers
    • 5.4 Homework Video - Multiplying Binomials Mentally
    • 5.5 Lesson - Difference of Two Squares
    • 5.5 Lesson Notes, Homework Questions & Answers
    • 5.5 Homework Video - Difference of Two Squares
    • 5.6 Lesson - Squares of Binomials
    • 5.6 Lesson Notes, Homework Questions & Answers
    • 5.6 Homework Video - Squares of Binomials
    • 5.7 Lesson - Factoring Pattern for x^2+bx+c, c positive
    • 5.7 Lesson Notes, Homework Questions & Answers
    • 5.7 Homework Video - Factoring Pattern for x^2+bx+c, c positive
    • 5.8 Lesson - Factoring Pattern for x^2+bx+c, c negative
    • 5.8 Lesson Notes, Homework Questions & Answers
    • 5.8 Homework Video - Factoring Pattern for x^2+bx+c, c negative
    • 5.9 Lesson - Factoring Pattern for ax^2+bx+c
    • 5.9 Lesson Notes, Homework Questions & Answers
    • 5.9 Homework Video - Factoring Pattern for ax^2+bx+c
    • 5.10 Lesson - Factoring by Grouping
    • 5.10 Lesson Notes, Homework Questions & Answers
    • 5.10 Homework Video - Factoring by Grouping
    • 5.11 Lesson - Using Several Methods of Factoring
    • 5.11 Lesson Notes, Homework Questions & Answers
    • 5.11 Homework Video - Using Several Methods of Factoring
    • 5.12 Lesson - Solving Equations by Factoring
    • 5.12 Lesson Notes, Homework Questions & Answers
    • 5.12 Homework Video - Solving Equations by Factoring
    • 5.13 Lesson - Using Factoring to Solve Problems
    • 5.13 Lesson Notes, Homework Questions & Answers
    • 5.13 Homework Video - Using Factoring to Solve Problems
  • 7
    Chapter 6 - Fractions
    • 6.1 Lesson - Simplifying Fractions
    • 6.1 Lesson Notes, Homework Questions & Answers
    • 6.1 Homework Video - Simplifying Fractions
    • 6.2 Lesson - Multiplying Fractions
    • 6.2 Lesson Notes, Homework Questions & Answers
    • 6.2 Homework Video - Multiplying Fractions
    • 6.3 Lesson - Dividing Fractions
    • 6.3 Lesson Notes, Homework Questions & Answers
    • 6.3 Homework Video - Dividing Fractions
    • 6.4 Lesson - Least Common Denominators
    • 6.4 Lesson Notes, Homework Questions & Answers
    • 6.4 Homework Video - Least Common Denominators
    • 6.5 Lesson - Adding and Subtracting Fractions
    • 6.5 Lesson Notes, Homework Questions & Answers
    • 6.5 Homework Video - Adding and Subtracting Fractions
    • 6.6 Lesson - Mixed Expressions
    • 6.6 Lesson Notes, Homework Questions & Answers
    • 6.6 Homework Video - Mixed Expressions
    • 6.7 Lesson - Polynomial Long Division
    • 6.7 Lesson Notes, Homework Questions & Answers
    • 6.7 Homework Video - Polynomial Long Division
  • 8
    Chapter 7 - Applying Fractions
    • 7.1 Lesson - Ratios
    • 7.1 Lesson Notes, Homework Questions and Answers
    • 7.1 Homework Video - Ratios
    • 7.2 Lesson - Proportions
    • 7.2 Lesson Notes, Homework Questions and Answers
    • 7.2 Homework Video - Proportions
    • 7.3 Lesson - Equations with Fractional Coefficients
    • 7.3 Lesson Notes, Homework Questions and Answers
    • 7.3 Homework Video - Equations with Fractional Coefficients
    • 7.4 Lesson - Fractional Equations
    • 7.4 Lesson Notes, Homework Questions and Answers
    • 7.4 Homework Video - Fractional Equations
    • 7.5 Lesson - Percents
    • 7.5 Lesson Notes, Homework Questions and Answers
    • 7.5 Homework Video - Percents
    • 7.6 Lesson - Percent Problems
    • 7.6 Lesson Notes, Homework Questions and Answers
    • 7.6 Homework Video - Percent Problems
    • 7.7 Lesson - Mixture Problems
    • 7.7 Lesson Notes, Homework Questions and Answers
    • 7.7 Homework Video - Mixture Problems
    • 7.8 Lesson - Work Problems
    • 7.8 Lesson Notes, Homework Questions and Answers
    • 7.8 Homework Video - Work Problems
    • 7.9 Lesson - Zero and Negative Exponents
    • 7.9 Lesson Notes, Homework Questions and Answers
    • 7.9 Homework Video - Zero and Negative Exponents
    • 7.10 Lesson - Scientific Notation
    • 7.10 Lesson Notes, Homework Questions and Answers
    • 7.10 Homework Video - Scientific Notation
  • 9
    Chapter 8- Introduction to Functions
    • 8.1 Lesson - Equations in Two Variables
    • 8.1 Lesson Notes, Homework Questions and Answers
    • 8.1 Homework Video - Equations in Two Variables
    • 8.2 Lesson - Graphs of Linear Equations in Two Variables
    • 8.2 Lesson Notes, Homework Questions and Answers
    • 8.2 Homework Video - Points, Lines, and Their Graphs
    • 8.3 Lesson - The Slope of a Line
    • 8.3 Lesson Notes, Homework Questions and Answers
    • 8.3 Homework Video - Slope of a Line
    • 8.4 Lesson - Slope-Intercept form of a Linear Equation
    • 8.4 Lesson Notes, Homework Questions and Answers
    • 8.4 Homework Video - Slope-Intercept form of a Linear Equation
    • 8.5 Lesson - Determining an Equation of a Line
    • 8.5 Lesson Notes, Homework Questions and Answers
    • 8.5 Homework Video -Determining an Equation of a Line
    • 8.6 Lesson - Functions Defined by Tables and Graphs
    • 8.6 Lesson Notes, Homework Questions and Answers
    • 8.6 Homework Video - Functions Defined by Tables and Graphs
    • 8.7 Lesson - Functions Defined by Equations
    • 8.7 Lesson Notes, Homework Questions and Answers
    • 8.7 Homework Video - Functions Defined by Equations
    • 8.8 Lesson - Linear and Quadratic Functions
    • 8.8 Lesson Notes, Homework Questions and Answers
    • 8.8 Homework Video - Linear and Quadratic Functions
    • 8.9 Lesson - Direct Variation
    • 8.9 Lesson Notes, Homework Questions and Answers
    • 8.9 Homework Video - Direct Variation
    • 8.10 Lesson - Inverse Variation
    • 8.10 Lesson Notes, Homework Questions and Answers
    • 8.10 Homework Video - Inverse Variation
  • 10
    Chapter 9 - Systems of Linear Equations
    • 9.1 Lesson - The Graphing Method
    • 9.1 Lesson Notes, Homework Questions and Answers
    • 9.1 Homework Video - The Graphing Method
    • 9.2 Lesson - The Substitution Method
    • 9.2 Lesson Notes, Homework Questions and Answers
    • 9.2 Homework Video - The Substitution Method
    • 9.3 Lesson - Using Systems of Equations to Problem Solve
    • 9.3 Lesson Notes, Homework Questions and Answers
    • 9.3 Homework Video - Using Systems of Equations to Problem Solve
    • 9.4 Lesson - The Addition-or-Subtraction Method
    • 9.4 Lesson Notes, Homework Questions and Answers
    • 9.4 Homework Video - The Addition-or-Subtraction Method
    • 9.5 Lesson - Multiplication with the Addition-or-Subtraction Method
    • 9.5 Lesson Notes, Homework Questions and Answers
    • 9.5 Homework Video - Multiplication with the Addition-or-Subtraction Method
    • 9.6 Lesson - Wind and Water Current Problems
    • 9.6 Lesson Notes, Homework Questions and Answers
    • 9.6 Homework Video - Wind and Water Current Problems
    • 9.7 Lesson - Puzzle Problems
    • 9.7 Lesson Notes, Homework Questions and Answers
    • 9.7 Homework Video - Puzzle Problems
  • 11
    Chapter 10 - Inequalities
    • 10.1 Lesson - Order of Real Numbers
    • 10.1 Lesson Notes, Homework Questions and Answers
    • 10.1 Homework Video - Order of Real Numbers
    • 10.2 Lesson - Solving Linear Inequalities
    • 10.2 Lesson Notes, Homework Questions and Answers
    • 10.2 Homework Video - Solving Linear Inequalities
    • 10.3 Lesson - Problem Solving Using Inequalities
    • 10.3 Lesson Notes, Homework Questions and Answers
    • 10.3 Homework Video - Problem Solving Using Inequalities
    • 10.4 Lesson - Solving Combined Inequalities
    • 10.4 Lesson Notes, Homework Questions and Answers
    • 10.4 Homework Video - Solving Combined Inequalities
    • 10.5 Lesson - Absolute Value in Open Sentences
    • 10.5 Lesson Notes, Homework Questions and Answers
    • 10.5 Homework Video - Absolute Value in Open Sentences
    • 10.6 Lesson - Graphing Linear Inequalities
    • 10.6 Lesson Notes, Homework Questions and Answers
    • 10.6 Homework Video - Graphing Linear Inequalities
    • 10.7 Lesson - Systems of Linear Inequalities
    • 10.7 Lesson Notes, Homework Questions and Answers
    • 10.7 Homework Video - Systems of Linear Inequalities
  • 12
    Chapter 11 - Rational and Irrational Numbers
    • 11.1 Lesson - Properties of Rational Numbers
    • 11.1 Lesson Notes, Homework Questions and Answers
    • 11.1 Homework Video - Properties of Rational Numbers
    • 11.2 Lesson - Decimal Forms of Rational Numbers
    • 11.2 Lesson Notes, Homework Questions and Answers
    • 11.2 Homework Video - Decimal Forms of Rational Numbers
    • 11.3 Lesson - Rational Square Roots
    • 11.3 Lesson Notes, Homework Questions and Answers
    • 11.3 Homework Video - Rational Square Roots
    • 11.4 Lesson - Irrational Square Roots
    • 11.4 Lesson Notes, Homework Questions and Answers
    • 11.4 Homework Video - Rational Square Roots
    • 11.5 Lesson - Square Roots of Variable Expressions
    • 11.5 Lesson Notes, Homework Questions and Answers
    • 11.5 Homework Video - Square Roots of Variable Expressions
    • 11.6 Lesson - The Pythagorean Theorem
    • 11.6 Lesson Notes, Homework Questions and Answers
    • 11.6 Homework Video - The Pythagorean Theorem
    • 11.7 Lesson - Multiplying, Dividing, and Simplifying Radicals
    • 11.7 Lesson Notes, Homework Questions and Answers
    • 11.7 Homework Video - Multiplying, Dividing, and Simplifying Radicals
    • 11.8 Lesson - Adding and Subtracting Radicals
    • 11.8 Lesson Notes, Homework Questions and Answers
    • 11.8 Homework Video - Adding and Subtracting Radicals
    • 11.9 Lesson - Binomials Containing Radicals
    • 11.9 Lesson Notes, Homework Questions and Answers
    • 11.9 Homework Video - Binomials Containing Radicals
    • 11.10 Lesson - Solving Radical Equations
    • 11.10 Lesson Notes, Homework Questions and Answers
    • 11.10 Homework Video - Solving Radical Equations
  • 13
    Chapter 12 - Quadratic Functions
    • 12.1 Lesson - Quadratic Equations with Perfect Squares
    • 12.1 Lesson Notes, Homework Questions and Answers
    • 12.1 Homework Video - Quadratic Equations with Perfect Squares
    • 12.2 Lesson - Completing the Square
    • 12.2 Lesson Notes, Homework Questions and Answers
    • 12.2 Homework Video - Completing the Square
    • 12.3 Lesson - Quadratic Formula
    • 12.3 Lesson Notes, Homework Questions and Answers
    • 12.3 Homework Video - Quadratic Formula
    • 12.4 Lesson - The Discriminant
    • 12.4 Lesson Notes, Homework Questions and Answers
    • 12.4 Homework Video - The Discriminant
    • 12.5 Lesson - Methods of Solution
    • 12.5 Lesson Notes, Homework Questions and Answers
    • 12.5 Homework Video - Methods of Solution
    • 12.6 Lesson - Solving Problems Involving Quadratic Equations
    • 12.6 Lesson Notes, Homework Questions and Answers
    • 12.6 Homework Video - Solving Problems Involving Quadratic Equations

Social proof: reviews

  • This algebra 1 curriculum is awesome!

    Tawnya Taylor

    My son was 10 years old when he started this course. I was a little concerned he might need more instruction than what I could provide. I chose the pre recor...

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    My son was 10 years old when he started this course. I was a little concerned he might need more instruction than what I could provide. I chose the pre recorded version because our schedule is rough to try to coordinate with a live class. I love the homework videos!! This has been everything I hoped it would be!! No additional help has been required!

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  • Great course!

    Trish Cowan

    Teacher is great at informing and not making it so much a 'lecture'. Very interesting stuff too.

    Teacher is great at informing and not making it so much a 'lecture'. Very interesting stuff too.

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  • Algebra 1

    Shayan Abbasi

    I wanted to show my appreciation towards Colosky Math Academy. I have my son in this academy for the last two years. My son in algebra 1 showed a great progr...

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