# UnLock Math Curriculum

Algebra II is the direct successor to Algebra I and builds on each of the concepts studied within it.

## Algebra II

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Unit 1

### Review of Equations & Exponents

- 1.1 Introduction to Equations
- 1.2 Multistep & Distributive Part I
- 1.3 Multistep & Distributive Part II
- 1.4 Equations with Multiple Variables
- 1.5 Slope & Rate of Change
- 1.6 Calculating Slope Using a Graph
- 1.7 Calculate Slope Using dydx & Intercepts
- 1.8 Slope-Intercept Form
- 1.9 Equation of a Line
- 1.10 Introduction to Exponents
- 1.11 The Product Property
- 1.12 The Quotient Property
- 1.13 Zero and Negative Exponents
- 1.14 Fractional Exponents
- 1.15 Power of a Power Property
- 1.16 Power of a Product Property
- 1.17 Power of a Fraction
- 1.18 Simplifying Algebraic Expressions with Exponents

Unit 2

### Systems of Linear Equations & Inequalities

- 2.1 Intro to Systems of Linear Equations & Inequalities
- 2.2 Solving a System of Equations by Substitution
- 2.3 Solving a System of Equations by Elimination
- 2.4 Graphing Systems of Linear Equations
- 2.5 Graphing Systems of Inequalities
- 2.6 Linear Programming

Unit 3

### Polynomial Functions

- 3.1 Introduction to Polynomials
- 3.2 Adding & Subtracting Polynomials
- 3.3 Multiplying Polynomials
- 3.4 Dividing Polynomials Using Long Division
- 3.5 Dividing Polynomials Using Synthetic Division
- 3.6 Remainder Theorem
- 3.7 Factor Theorem
- 3.8 Factoring Polynomials Using the GCF
- 3.9 Factoring Using Difference of Squares
- 3.10 Factoring Perfect Square Trinomials
- 3.11 Factoring Trinomials
- 3.12 Factoring Using Sums or Difference of Cubes
- 3.13 Solving Equations Using Factoring

Unit 4

### Functions

- 4.1 Introduction to Functions
- 4.2 Function Notation & Evaluation
- 4.3 Domain of a Function & Interval Notation
- 4.4 Range of a Function & Interval Notation
- 4.5 Adding & Subtracting Functions
- 4.6 Multiplying & Dividing Functions
- 4.7 Composition of Functions
- 4.8 Inverse Functions
- 4.9 Composition and Inverse
- 4.10 Piecewise Functions
- 4.11 Step Functions

Unit 5

### Complex Numbers

- 5.1 Introduction to Imaginary & Complex Numbers
- 5.2 Adding & Subtracting Complex Numbers
- 5.3 Multiplying Complex Numbers
- 5.4 Complex Conjugates
- 5.5 Dividing Complex Numbers
- 5.6 Absolute Value & Complex Numbers

Unit 6

### Polynomial Functions Solving & Graphing

- 6.1 Finding a Polynomial Given the Roots
- 6.2 Location Principle & Multiplicity of Zeros
- 6.3 Rational Root Theorem
- 6.4 The Quadratic Formula
- 6.5 The Complex Conjugate Root Theorem
- 6.6 Fundamental Theorem of Algebra & Descartes Rule of Signs
- 6.7 Graphing Polynomials

Unit 7

### Quadratic Functions

- 7.1 Introduction to Quadratic Functions
- 7.2 Graphing Quadratic Functions in Vertex Form
- 7.3 Solving Quadratics with Square Roots
- 7.4 Solving Quadratics with Completing the Square
- 7.5 Converting Quadratic Function to Vertex Form using Completing the Square
- 7.6 Graphing Quadratic Inequalities
- 7.7 Applications of Quadratics

Unit 8

### Exponential & Logarithmic Functions

- 8.1 Intro to Exponential & Logarithmic Properties
- 8.2 Exponential Growth
- 8.3 Exponential Decay
- 8.4 Logarithmic Functions
- 8.5 Evaluating Logarithmic Functions
- 8.6 Product Property of Logarithms
- 8.7 Quotient Property of Logarithms
- 8.8 Power Property of Logarithms
- 8.9 Exponential-Logarithmic Inverse Properties
- 8.10 Application of Logarithms
- 8.11 The Natural Exponential Function
- 8.12 The Natural Logarithm
- 8.13 Solving Logarithmic Equations

Unit 9

### Exponential & Logarithmic Functions

- 9.1 Introduction to Rational Functions
- 9.2 Direct Variation
- 9.3 Inverse Variation
- 9.4 Joint & Combined Variation
- 9.5 Simplifying Rational Expressions
- 9.6 Adding & Subtracting Rational Expressions
- 9.7 Multiplying Rational Expressions
- 9.8 Dividing Rational Expressions
- 9.9 Complex Fractions
- 9.10 Solving Rational Equations
- 9.11 Graph of a Rational Function
- 9.12 Graph of a Rational Function Continued

Unit 10

### Radical Functions

- 10.1 Introduction to Radical Functions
- 10.2 Simplifying Radicals - Numerical
- 10.3 Simplifying Radicals - Algebraic
- 10.4 Multiplying Radicals
- 10.5 Dividing Radicals
- 10.6 Adding & Subtracting Radicals
- 10.7 Solving Radical Equations
- 10.8 Graphing Radical Functions

Unit 11

### Conic Sections

- 11.1 Introduction to Conic Sections
- 11.2 Distance & Midpoint Formulas
- 11.3 Parabolas Part I
- 11.4 Parabolas Part II
- 11.5 Circles Part I
- 11.6 Circles Part II
- 11.7 Ellipses Part I
- 11.8 Ellipses Part II
- 11.9 Hyperbolas Part I
- 11.10 Hyperbolas Part II
- 11.11 Solving Non Linear Systems

Unit 12

### Statistics & Probability

- 12.1 Introduction to Statistics
- 12.2 Independent & Dependent Events
- 12.3 Measures of Central Tendency
- 12.4 Hisotgrams & Circle Graphs
- 12.5 Stem & Leaf Plots
- 12.6 Box & Whisker Plots
- 12.7 Scatter Plots
- 12.8 Permutations
- 12.9 Combinations
- 12.10 Measures of Dispersion

Unit 13

### Series & Patterns

- 13.1 Introduction to Series & Patterns
- 13.2 Sequences & Series
- 13.3 Arithmetic Sequences
- 13.4 Arithmetic Series
- 13.5 Geometric Sequences
- 13.6 Finite Geometric Series
- 13.7 Infinite Geometric Series
- 13.8 Pascal's Triangle
- 13.9 Binomial Theorem

Unit 14

### Trigonometry

- 14.1 Introduction to Trigonometric Functions
- 14.2 Finding an Unknown Angle
- 14.3 Reciprocal Ratios
- 14.4 Sine Law
- 14.5 Cosine Law
- 14.6 Angles in Standard Position
- 14.7 Special Triangles & Exact Values

Unit 15

### Matrices

- 15.1 Introduction to Matrices
- 15.2 Basic Matrix Operations
- 15.3 Matrix Multiplication
- 15.4 Determinant of a Matrix
- 15.5 Inverse of a Matrix