Algebra II
From Teach And Discover Wiki
Welcome to the Algebra II course page. Below you will find the course outline and the section texts that will be used throughout the course. Algebra II is designed as a two-semester rigorous course in Intermediate to Advanced Algebra, and will prepare you for subsequent Trigonometry and Pre-Calculus courses.
This course will explore more advanced topics than those covered in Algebra I. It is recommended that one complete the Geometry course before taking the Algebra II course so that basic algebra concepts may be understood more concretely.
Click here to download the course syllabus: Algebra II Course Syllabus
Contents |
Course Outline
Equations and Inequalities
- Properties of Algebra
- Evaluating Algebraic Expressions
- Solve Linear Equations
- Rewrite Formulas and Equations
- Solve Linear Inequalities
Linear Equations and Functions
- Represent Relations and Functions
- Find Slope and Rate of Change
- Graph Equations of Lines
- Write Equations of Lines
- Model Direct Variation
- Draw Scatter Plots and Best-Fitting Lines
- Absolute Value Functions, Transformations, and Piecewise Functions
- Graph Linear Inequalities in Two Variables
Linear Systems and Matrices
- Solving Linear Systems by Graphing
- Solving Linear Systems Algebraically
- Graph Systems of Linear Inequalities
- Solve Systems of Linear Equations in Three Variables
- Perform Basic Matrix Operations
- Multiplying Matrices
- Evaluate Determinants and Apply Kramer's Rule
- Use Inverse Matrices to Solve Linear Systems
Quadratic Functions and Factoring
- Graphing Quadratic Functions in Standard Form
- Graphing Quadratic Functions in Vertex & Intercept Form
- Solve Quadratic Functions by Factoring
- Factoring with Coefficients Other Than 1
- Solve Quadratic Equations by Finding Square Roots
- Perform Operations with Complex Numbers
- Complete the Square
- Use the Quadratic Formula and the Discriminant
- Graph and Solve Quadratic Inequalities
- Write Quadratic Functions and Models
Polynomials and Polynomial Functions
- Use Properties of Exponents
- Evaluate and Graph Polynomial Functions
- Perform Operations with Polynomials
- Factor and Solve Polynomial Equations
- Find Rational Zeroes
- Apply the Fundamental Theorem of Algebra
- Analyze Graphs of Polynomial Functions
Rational Exponents and Radical Functions
- Evaluate nth Roots and Use Rational Exponents
- Apply Properties of Rational Exponents
- Perform Function Operations and Compositions
- Use Inverse Functions
- Graph Square Root and Cube Root Functions
- Solve Radical Equations
Trigonometric Ratios and Functions
- Use Trigonometry with Right Triangles
- Define General Angles and Their Radian Measures
- Evaluate Trigonometric Functions of Any Angle
- Evaluate Inverse Trigonometric Functions
- Apply the Law of Sines
- Apply the Law of Cosines
