11th Grade Algebra II Online High School Program
Grade 11 Algebra II
This course begins with a review of Algebra I topics and introduces the following new topics: matrices, complex numbers, exponential and logarithmic functions, conic sections, higher degree polynomial functions, sequences and series, and trigonometry. This course is required for students who are planning to attend most post-secondary institutions.
Algebra II is a continuation of the algebraic processes begun in Algebra I. This course includes solving equations, inequalities, matrices, graphing, functions, powers, roots, logarithms, complex numbers, polynomials, quadratic relations, sequences, series, probability and statistics. Appropriate technology is integrated into the curriculum.
Students will work with both scientific and graphing calculators throughout this Algebra 2 course. It is strongly recommended that you have at least a scientific calculator to use when completing your work. If you don’t have access to a scientific and/or graphing calculator, many are available for free online.
Grade 11 Algebra II Course Outline (1.0 Credit)
The Algebra II course will cover a range of algebraic topics. The over-arching topics include Operations on Numbers and Expressions, Equations and Inequalities, Polynomial and Rational Functions, Exponential Functions and Function Operations and Inverses.
By the end of the course you should be able to:
- Onstrate an understanding of operations with numbers
- Manipulate algebraic expressions involving real and complex numbers
- Solve linear and nonlinear equations and inequalities
- Solve systems of linear equations and inequalities.
- Solve, translate and model linear equations
- Solve, translate and model quadratic equations
- Solve, translate and model exponential equations
- Solve, translate and model rational equations
- Solve, translate and model radical equations
- Solve, translate and model higher-order polynomial equations and inequalities
- Solve problems presented in context
- Represent, characterize and solve problems that involve quadratic functions
- Represent, characterize and solve problems that involve higher-order polynomial
- Represent, characterize and solve problems that involve simple rational functions
- Represent, characterize and solve problems involving exponential functions and logarithmic functions.
- Demonstrate an understanding of combinations and inverses of functions.
Course Outline
Operations on Numbers and Expressions
- Review of Algebra I topics
- Operations with numbers
- Algebraic expressions involving real and complex numbers
- Powers and roots
Equations and Inequalities
- Solving linear and nonlinear equations and inequalities
- Solving systems of linear equations and inequalities
- Matrices
- Solving, translating and modeling linear, quadratic, radical and rational equations
- Solving problems presented in context
Polynomial and Rational Functions
- Quadratic functions and quadratic relations
- Higher-order polynomial equations and inequalities
- Simple rational functions
- Conic sections
Exponential and Logarithmic Functions
- Solving, translating and modeling exponential equations
- Exponential functions
- Logarithmic functions
Function Operations and Inverses
- Combinations of functions
- Inverses of functions
Sequences, Series, Probability and Statistics
- Sequences and series
- Probability and statistics
- Introduction to trigonometry
