Algebra II

Description

This course allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons. Algebra II is an advanced course using hands-on activities, applications, group interactions, and the latest technology. 

Major Topics and Concepts

Semester I Concepts


Module 1

Algebra 1 Review
Introduction to Functions
Graphing Linear Equations and Inequalities
Writing the Equation of a Line
Comparing Functions

Module 2

Rational Exponents
Properties of Rational Exponents
Solving Radical Equations
Complex Numbers
Operations of Complex Numbers

Module 3

Review of Polynomials
Polynomial Operations
Greatest Common Factors and Special Products
Factoring by Grouping
Sum and Difference of Cubes
Graphing Quadratics
Completing the Square
Solving Quadratic Equations
Solving Quadratic Equations with Complex Solutions
Investigating Quadratics

Module 4

Polynomial Long Division
Polynomial Synthetic Division
Theorems of Algebra
Rational Root Theorem
Solving Polynomial Equations
Graphing Polynomial Equations
Polynomial Identities and Proofs

Module 5

Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Simplifying Complex Fractions
Discontinuities of Rational Expressions
Asymptotes of Rational Functions
Solving Rational Equations
Applications of Rational Equations

 
Segment II Concepts

Module 6

Solving Systems of Equations Algebraically
Solving Systems of Non-Linear Equations
Graphing Systems of Linear Equations
Graphing Systems of Non-Linear Equations

Module 7

Exponential Functions
Logarithmic Functions
Properties of Logarithms
Solving Exponential Equations with Unequal Bases
Graphing Exponential Functions
Graphing Logarithmic Functions
Exponential and Logarithmic Functions

Module 8

Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Sigma Notation
Infinite, Convergent, and Divergent Series
Graphing Series

Module 9

Events and Outcomes in a Sample Space
Independent Probabilities
Conditional Probability
Normal Distribution
Models of Populations
Using Surveys
Using Experiments

Module 10

Introduction to the Unit Circle
Unit Circle and the Coordinate Plane
Trigonometric Functions with Periodic Phenomena
Pythagoras, Trigonometry, and Quadrants
Functions of All Types