UnLock Math: Algebra 1 | Best Online Math Curriculum

UnLock Math Curriculum

Algebra I is the critical link between the elementary concepts of Pre-Algebra and the more advanced upper-level topics of Algebra II and Pre-Calculus.

Algebra I

It expands on material introduced in Pre-Algebra while introducing functions, systems of linear equations and trigonometry. The primary goal of Algebra I is for students to develop beyond understanding rudimentary mathematical operations to comprehend more abstract algebraic ideas.

Unit 1

Equations

  1. 1.1 Introduction to Equations
  2. 1.2 Solving Equations - Adding & Subtracting
  3. 1.3 Solving Equations - Multiplying & Dividing
  4. 1.4 Two Step Equations
  5. 1.5 Multistep & Distributive Part I
  6. 1.6 Multistep & Distributive Part II
  7. 1.7 Equations with Multiple Variables
  8. 1.8 Solving Percent Equations
  9. 1.9 More Applications

Unit 2

Linear Functions

  1. 2.1 Introduction to Linear Functions
  2. 2.2 Graphing Coordinate Point
  3. 2.3 Relations and Linear Functions Pt I
  4. 2.4 Relations and Linear Functions Pt II
  5. 2.5 Direct Variation
  6. 2.6 Slope & Rate of Change
  7. 2.7 Calculating Slope
  8. 2.8 Slope-Intercept Form
  9. 2.9 X and Y Intercepts & Standard Form
  10. 2.10 Calculate Slope using dydx and Intercepts
  11. 2.11 Equation of a Line
  12. 2.12 Special Lines
  13. 2.13 Cost vs Time Functions
  14. 2.14 Distance vs Time

Unit 3

Inequalities & Absolute Value Functions

  1. 3.1 Introduction to Inequalities & Absolute Value Functions
  2. 3.2 Writing Solution Sets
  3. 3.3 Graphing 1D
  4. 3.4 Solving Multistep
  5. 3.5 Compound Inequalities
  6. 3.6 Solving Compound Inequalities
  7. 3.7 Inequalities in 2D
  8. 3.8 Absolute Value
  9. 3.9 Graphing Absolute Value Functions

Unit 4

Exponential Functions

  1. 4.1 Introduction to Exponents
  2. 4.2 The Product Property
  3. 4.3 The Quotient Property
  4. 4.4 Zero and Negative Exponents
  5. 4.5 Fractional Exponents
  6. 4.6 Power of a Power Property
  7. 4.7 Power of a Product Property
  8. 4.8 Power of a Fraction
  9. 4.9 Order of Operations with Exponents – Numeric
  10. 4.10 Simplifying Algebraic Expressions with Exponents
  11. 4.11 Scientific Notation Part I
  12. 4.12 Scientific Notation Part II
  13. 4.13 Scientific Notation Part III
  14. 4.14 Exponential Decay
  15. 4.15 Exponential Growth

Unit 5

Polynomials

  1. 5.1 Introduction to Inequalities
  2. 5.2 Adding Polynomials
  3. 5.3 Subtracting Polynomials
  4. 5.4 Adding & Subtracting Polynomials With More Than One Variable
  5. 5.5 Multiplying Polynomials
  6. 5.6 Common Factoring
  7. 5.7 Factoring Polynomials Using The GCF
  8. 5.8 Factoring Perfect Square Trinomials
  9. 5.9 Factoring Difference Of Squares
  10. 5.10 Factoring Trinomials
  11. 5.11 Solving Equations Using Factoring
  12. 5.12 Graphing The Cubic Function

Unit 6

Quadratic Functions

  1. 6.1 Introduction To Quadratic Functions
  2. 6.2 Graphing Quadratic Functions
  3. 6.3 Graphing Quadratic Function - Vertex Form
  4. 6.4 Solving Equations with Square Roots
  5. 6.5 Solving by Completing the Square
  6. 6.6 Converting Quadratic Functions Into Vertex Form Using Completing the Square
  7. 6.7 The Quadratic Formula
  8. 6.8 Graphing Quadratic Inequalities
  9. 6.9 Applications Of Quadratics

Unit 7

Rational Functions

  1. 7.1 Introduction to Rational Functions
  2. 7.2 Simplifying Rational Expressions
  3. 7.3 Adding & Subtracting Rational Expressions
  4. 7.4 Multiplying Rational Expressions
  5. 7.5 Dividing Rational Expressions
  6. 7.6 Graph of a Rational Function

Unit 8

Radical Functions

  1. 8.1 Introduction to Radical Functions
  2. 8.2 Prime Factors
  3. 8.3 Square Roots
  4. 8.4 Simplifying Radicals – Numerical
  5. 8.5 Simplifying Radicals – Algebraic
  6. 8.6 Adding & Subtracting Radicals
  7. 8.7 Multiplying Radicals
  8. 8.8 Dividing Radicals
  9. 8.9 Solving Radical Equations
  10. 8.10 Graphing Radical Functions

Unit 9

Transformations

  1. 9.1 Introduction to Transformations
  2. 9.2 Domain of Parent Functions
  3. 9.3 Range of Parent Functions
  4. 9.4 Translations
  5. 9.5 Reflections
  6. 9.6 Vertical Stretches & Compressions
  7. 9.7 Horizontal Stretches & Compressions
  8. 9.8 Summary on Transformations
  9. 9.9 Multiple Transformations

Unit 10

Systems of Equations & Inequalities

  1. 10.1 Introduction to Systems of Linear Equations & Inequalities
  2. 10.2 Graphing Systems of Linear Equations
  3. 10.3 Graphing Inequalities
  4. 10.4 Graphing Systems of Inequalities
  5. 10.5 Evaluating Expressions using Substitution
  6. 10.6 Solving a System of Equations by Substitution
  7. 10.7 Solving Systems of Equations by Elimination
  8. 10.8 Identifying Types of Systems using Equations
  9. 10.9 Writing an Equation
  10. 10.10 Applications of Systems of Equations & Inequations

Unit 11

Trigonometry

  1. 11.1 Introduction to Trigonometry
  2. 11.2 Sine Ratio
  3. 11.3 Cosine Ration
  4. 11.4 Tangent Ratio

Unit 12

Probability

  1. 12.1 Introduction to Probability
  2. 12.2 Simple Probability
  3. 12.3 Fundamental Counting Principle
  4. 12.4 Independent Events
  5. 12.5 Dependent Events
  6. 12.6 Compound Probability
  7. 12.7 Experimental & Theoretical Probability
  8. 12.8 Set Theory & Venn Diagrams
  9. 12.9 Set Theory - Intersection and Union