# 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.

## Curriculum

## 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 Introduction to Equations
- 1.2 Solving Equations - Adding & Subtracting
- 1.3 Solving Equations - Multiplying & Dividing
- 1.4 Two Step Equations
- 1.5 Multistep & Distributive Part I
- 1.6 Multistep & Distributive Part II
- 1.7 Equations with Multiple Variables
- 1.8 Solving Percent Equations
- 1.9 More Applications

Unit 2

### Linear Functions

- 2.1 Introduction to Linear Functions
- 2.2 Graphing Coordinate Point
- 2.3 Relations and Linear Functions Pt I
- 2.4 Relations and Linear Functions Pt II
- 2.5 Direct Variation
- 2.6 Slope & Rate of Change
- 2.7 Calculating Slope
- 2.8 Slope-Intercept Form
- 2.9 X and Y Intercepts & Standard Form
- 2.10 Calculate Slope using dydx and Intercepts
- 2.11 Equation of a Line
- 2.12 Special Lines
- 2.13 Cost vs Time Functions
- 2.14 Distance vs Time

Unit 3

### Inequalities & Absolute Value Functions

- 3.1 Introduction to Inequalities & Absolute Value Functions
- 3.2 Writing Solution Sets
- 3.3 Graphing 1D
- 3.4 Solving Multistep
- 3.5 Compound Inequalities
- 3.6 Solving Compound Inequalities
- 3.7 Inequalities in 2D
- 3.8 Absolute Value
- 3.9 Graphing Absolute Value Functions

Unit 4

### Exponential Functions

- 4.1 Introduction to Exponents
- 4.2 The Product Property
- 4.3 The Quotient Property
- 4.4 Zero and Negative Exponents
- 4.5 Fractional Exponents
- 4.6 Power of a Power Property
- 4.7 Power of a Product Property
- 4.8 Power of a Fraction
- 4.9 Order of Operations with Exponents – Numeric
- 4.10 Simplifying Algebraic Expressions with Exponents
- 4.11 Scientific Notation Part I
- 4.12 Scientific Notation Part II
- 4.13 Scientific Notation Part III
- 4.14 Exponential Decay
- 4.15 Exponential Growth

Unit 5

### Polynomials

- 5.1 Introduction to Inequalities
- 5.2 Adding Polynomials
- 5.3 Subtracting Polynomials
- 5.4 Adding & Subtracting Polynomials With More Than One Variable
- 5.5 Multiplying Polynomials
- 5.6 Common Factoring
- 5.7 Factoring Polynomials Using The GCF
- 5.8 Factoring Perfect Square Trinomials
- 5.9 Factoring Difference Of Squares
- 5.10 Factoring Trinomials
- 5.11 Solving Equations Using Factoring
- 5.12 Graphing The Cubic Function

Unit 6

### Quadratic Functions

- 6.1 Introduction To Quadratic Functions
- 6.2 Graphing Quadratic Functions
- 6.3 Graphing Quadratic Function - Vertex Form
- 6.4 Solving Equations with Square Roots
- 6.5 Solving by Completing the Square
- 6.6 Converting Quadratic Functions Into Vertex Form Using Completing the Square
- 6.7 The Quadratic Formula
- 6.8 Graphing Quadratic Inequalities
- 6.9 Applications Of Quadratics

Unit 7

### Rational Functions

- 7.1 Introduction to Rational Functions
- 7.2 Simplifying Rational Expressions
- 7.3 Adding & Subtracting Rational Expressions
- 7.4 Multiplying Rational Expressions
- 7.5 Dividing Rational Expressions
- 7.6 Graph of a Rational Function

Unit 8

### Radical Functions

- 8.1 Introduction to Radical Functions
- 8.2 Prime Factors
- 8.3 Square Roots
- 8.4 Simplifying Radicals – Numerical
- 8.5 Simplifying Radicals – Algebraic
- 8.6 Adding & Subtracting Radicals
- 8.7 Multiplying Radicals
- 8.8 Dividing Radicals
- 8.9 Solving Radical Equations
- 8.10 Graphing Radical Functions

Unit 9

### Transformations

- 9.1 Introduction to Transformations
- 9.2 Domain of Parent Functions
- 9.3 Range of Parent Functions
- 9.4 Translations
- 9.5 Reflections
- 9.6 Vertical Stretches & Compressions
- 9.7 Horizontal Stretches & Compressions
- 9.8 Summary on Transformations
- 9.9 Multiple Transformations

Unit 10

### Systems of Equations & Inequalities

- 10.1 Introduction to Systems of Linear Equations & Inequalities
- 10.2 Graphing Systems of Linear Equations
- 10.3 Graphing Inequalities
- 10.4 Graphing Systems of Inequalities
- 10.5 Evaluating Expressions using Substitution
- 10.6 Solving a System of Equations by Substitution
- 10.7 Solving Systems of Equations by Elimination
- 10.8 Identifying Types of Systems using Equations
- 10.9 Writing an Equation
- 10.10 Applications of Systems of Equations & Inequations

Unit 11

### Trigonometry

- 11.1 Introduction to Trigonometry
- 11.2 Sine Ratio
- 11.3 Cosine Ration
- 11.4 Tangent Ratio

Unit 12

### Probability

- 12.1 Introduction to Probability
- 12.2 Simple Probability
- 12.3 Fundamental Counting Principle
- 12.4 Independent Events
- 12.5 Dependent Events
- 12.6 Compound Probability
- 12.7 Experimental & Theoretical Probability
- 12.8 Set Theory & Venn Diagrams
- 12.9 Set Theory - Intersection and Union