Grade 11 Algebra II Course Outline (1.0 Credit)
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.
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
Introduction
- Introduction
- Course Description
- Completing Math Assessments
- MLA Formatting Word 2007
- MLA Documentation Updates
- MLA Citation
- MLA Incorporating Sources
- Pretest
- Assignment: Pretest
Expressions, Equations & Functions
- Evaluating Expressions
- Writing Expressions
- Writing Equations & Inequalities
- Handout: Evaluating and Writing Expressions Worksheet
- Handout: Expressions, Equations and Functions Quiz
- Assignment: Evaluating and Writing Expressions
- Assignment: Expressions, Equations & Functions Quiz
- Problem Solving
- Represent Functions as Rules & Tables
- Represent Functions as Graphs
- Handout: Functions Worksheet
- Assignment: Functions
- Handout: Expressions, Equations and Functions Unit Test
- Assignment: Expressions, Equations and Functions Unit Test
Properties of Real Numbers
- The Real Number System
- Graphing & Comparing Numbers
- Absolute Value
- Adding Real Numbers
- Subtracting Real Numbers
- Handout: Properties of Real Numbers Assignment #1
- Handout: Properties of Real Numbers Quiz
- Assignment: Properties of Real Numbers Assignment 1
- Assignment: Properties of Real Numbers Quiz
- Multiplying Real Numbers
- Dividing Real Numbers
- Radicals
- Handout: Properties of Real Numbers Assignment #2
- Handout: Properties of Real Numbers Unit Test
- Assignment: Properties of Real Numbers Assignment #2
- Assignment: Properites of Real Numbers Unit Test
Solving Linear Equations
- Solving One-Step Equations
- Solving Two-Step Equations
- Solving Multi-Step Equations
- Solve Equations with Variables on Both Sides
- Handout: Solving Linear Equations Assignment #1
- Handout: Solving Linear Equations Quiz
- Assignment: Solving Linear Equations Assignment #1
- Assignment: Solving Linear Equations Quiz
- Ratios and Proportions
- Percent Problems
- Rewrite Equations & Formulas
- Handout: Solving Linear Equations Assignment #2
- Handout: Solving Linear Equations Unit Test
- Assignment: Solving Linear Equations Assignment #2
- Assignment: Solving Linear Equations Unit Test
Graphing Linear Equations
- Coordinate Plane
- Graphing Linear Equations
- Handout: Graphing Linear Equations Assignment #1
- Handout: Graphing Linear Equations Quiz
- Handout: Distance – Time Graph Exploration
- Assignment: Graphing Linear Equations Assignent #1
- Assignment: Graphing Linear Equations Quiz
- Assignment: Distance – Time Graph Exploration
- Slope
- Graphing Linear Equations Using Slope-Intercept Form
- Function Notation
- Handout: Graphing Linear Equations Assignment #2
- Handout: Graphing Linear Equations Unit Test
- Assignment: Graphing Linear Equations Assignment #2
- Assignment: Graphing Linear Equations Unit Test
Writing Linear Equations
- Slope-Intercept Form
- Point-Slope Form
- Handout: Writing Linear Equations Assignment #1
- Handout: Writing :linear Equations Quiz
- Assignment: Writing Linear Equations Assignment #1
- Assignment: Writing Linear Equations Quiz
- Standard Form
- Parallel and Perpendicular Lines
- Linear Models
- Handout: Writing Linear Equations Assignment #2
- Handout: Writing Linear Equations Unit Test
- Assignment: Writing Linear Equations Assignment #2
- Assignment: Writing Linear Equations Unit Test
Solving Linear Inequalities
- Prepositions
- Worksheet: Prepositions
- Shows Relationships
- Common Prepositions
- Order of Adverbs
- Co-ordinating Conjunctions
- Worksheet: Conjunctions
- Subordinating Conjunctions
- Correlative Conjunctions
- Interjection
- Examples
- More Examples
- Quiz: Prepositions Quiz
Systems of Linear Equations
- What is a System of Linear Equations?
- Solving Systems of Equations
- Handout: System of Linear Equations Assignment #1
- Handout: System of Linear Equations Quiz
- Assignment: Systems of Linear Equations Assignment #1
- Assignment: System of Linear Equations Quiz
- Solving Systems of Equations with Technology
- Solutions to a System
- Linear Systems Word Problems
- Handout: System of Linear Equations Assignment #2
- Handout: System of Linear Equations Unit Test
- Assignment: System of Linear Equations Assignment #2
- Assignment: System of Linear Equations Unit Test
Exponential Functions
- Properties of Exponents Exploration
- Handout: Properties of Exponents Exploration
- Assignment: Properties of Exponents Exploration
- Properties of Exponents
- Handout: Exponenital Function Assignment #1
- Handout: Exponential Functions Quiz
- Handout: Exponential Functions Exploration
- Assignment: Exponential Functions Assignment #1
- Assignment: Exponential Function Quiz
- Assignment: Exponential Function Exploration
- Graphs of Exponential Functions
- Applications of Exponential Growth and Decay
- Handout: Exponenital Functions Assignment #2
- Handout: Exponential Functions Unit Test
- Assignment: Exponential Functions Assignment #2
- Assignment: Exponential Functions Unit Test
Polynomials
- Introduction to Polynomials
- Polynomial Addition
- Polynomial Multiplication
- Handout: Polynomial Addition & Multiplication Worksheet
- Assignment: Polynomial Addition & Multiplication
- Factors of Polynomials
- Handout: Polynomial Multiplication & Factors Worksheet
- Handout: Polynomial Quiz
- Assignment: Polynomial Multiplication & Factors
- Assignment: Polynomial Quiz
- Factoring Polynomials
- Handout: Factoring Worksheet
- Assignment: Factoring
- Quadratic Equations
- Handout: Quadratic Equations Worksheet
- Handout: Quadratic Functions Exploration
- Assignment: Quadratic Equations
- Assignment: Exploring Quadratic Functions
- Handout: Polynomials Unit Test
- Assignment: Polynomials Unit Test
Radical Functions
- Properties of Radical Expressions
- Handout: Properties of Radicals Exploration
- Assignment: Properties of Radicals Exploration
- Graphing Radical Functions Exploration
- Handout: Graphing Radical Functions Exploration
- Assignment: Graphing Radical Functions Exploration
- Radical Expressions and Functions
- Adding and Subtracting Radicals
- Handout: Radical Functions Assignment #1
- Handout: Radical Functions Quiz
- Assignment: Radical Functions Assignment #1
- Assignment: Radica Functions Quiz
- Solving Radical Equations
- Pythagorean Theorem and Distance Formula
- Handout: Radical Functions Assignment #2
- Handout: Radical Functions Unit Test
- Assignment: Radical Functions Assignment #2
- Assignment: Radical Functions Unit Test
Rational Functions
- Graphing Rational Functions Exploration
- Handout: Graphing Rational Functions Exploration
- Assignment: Graphing Rational Functions Exploration
- Dividing Polynomials
- Simplifying Rational Expressions
- Multiply and Divide Rational Expressions
- Handout: Rational Functions Assignment #1
- Handout: Rational Functions Quiz
- Assignment: Rational Functions Assignment #1
- Assignment: Rational Functions Quiz
- Add and Subtract Rational Expressions
- Solve Rational Equations
- Handout: Rational Functions Assignment #2
- Handout: Rational Functions Unit Test
- Assignment: Rational Functions Assignment #2
- Assignment: Rational Functions Unit Test
Final Exam
- Post-Test
- Assignment: Post-Test
- Final Exam
- Handout: Review for Final Exam
- Handout: Final Exam
- Handout: Final Essay
- Assignment: Review for Final Exam
- Assignment: Final Exam
- Assignment: Final Essay
Course Survey
- Handout: Course Survey
- Assignment: Course Survey
