Chapter 1: FOUNDATIONS OF ALGEBRA - ALGEBRA 1 REVISION
- Operations in Algebra
- Solving Linear Equations
- Solving Linear Inequalities
- Absolute Value Equations
Chapter 2: FUNCTIONS AND RELATIONS
- Intro to Functions and Relations
- Composite Functions
- Inverse Functions
- Linear Functions and Graphs
Chapter 3: SYSTEMS OF EQUATIONS AND INEQUALITIES
- Solving Linear Systems Algebraically: Elimination
- Solving Linear Systems Algebraically: Substitution
- Solving Linear Systems by Graphing
- Graphing and Solving Systems of Linear Inequalities
- Linear Programming
- Systems of Nonlinear Equations
Chapter 4: MATRICES AND DETERMINANTS
- Introduction to Matrices
- Operations with Matrices
- Determinants
- Cramer's rule
- Identity and inverse matrices
Chapter 5: QUADRATIC FUNCTIONS
- Factoring and Solving Quadratic Equations
- Graphing Quadratic Functions
- The Quadratic Formula and the Discriminant
- Graphing Quadratic Inequalities
Chapter 6: ABSOLUTE VALUE FUNCTIONS PIECEWISE FUNCTIONS
- Absolute Value Functions
- Piecewise Functions
Chapter 7: POLYNOMIALS AND POLYNOMIAL FUNCTIONS
- Polynomial Operations
- Polynomial Division
- Theorems about Roots
- Expansion of Binomials
- Graphing Polynomial Functions
Chapter 8: RATIONAL FUNCTIONS
- Introduction to Rational Functions
- Graphing Rational Functions
Chapter 9: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- Exponential functions and their Graphs
- Logarithmic functions
- Converting between Logarithmic Functions and Exponential Functions
- Graph of Logarithmic Functions
- Solving exponential and logarithmic equations
Chapter 10: SEQUENCES AND SERIES
- Introduction to Sequence and Series
- Arithmetic/Linear sequences
- Geometric/Exponential Sequences
- Infinite geometric series
Chapter 11: CONIC SECTIONS
- Introduction to conic sections (circles, ellipses, parabolas, hyperbolas)
- Circles
- Ellipses
- Parabolas
- Hyperbolas
Chapter 12: VECTORS AND PARAMETRIC EQUATIONS
- Introduction to Vectors
- Operations with Vectors
- Applications of Vectors
- Parametric Equations and Graphs