High School

# Algebra 2/Algebra 2 Honors

1.0 Credit
36 weeks
Open

Algebra 2 is an advanced course that allows students to learn content through hands-on activities, applications, and the latest technology. 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. Additionally, students investigate the effects of an equation on its graph through the use of technology.

### Major Topics and Concepts

Module 1Radical and Polynomial Operations

• Properties of Rational Exponents
• Solving Radical Equations
• Operations on Complex Numbers
• Polynomial Operations

Module 2Factoring and Quadratics

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

Module 3Solving Polynomials

• Polynomial Long Division
• Theorems of Algebra
• Polynomial Transformations
• Solving and Graphing Polynomials
• Polynomial Identities and Proofs

Module 4Rational Equations

• Simplifying Rational Expressions
• Discontinuities of Rational Expressions
• Asymptotes of Rational Functions
• Solving Rational Equations

Module 5Exponential and Logarithmic Functions

• Exponential and Logarithmic Functions
• Graphing Exponential Functions
• Graphing Logarithmic Functions

Module 6Systems of Equations

• Solving Systems of Equations Algebraically
• Solving Systems of Equations Graphically
• Solving Systems of Nonlinear Equations
• Graphing Systems of Nonlinear Equations

Module 7Sequences and Series

•  Arithmetic Sequences and Series
• Geometric Sequences
• Geometric Series
• Sigma Notation
• Graphing Sequences and Series

Module 8Statistics

• Introduction to Statistics
• Events and Outcomes in a Sample Space
• Independent Probability
• Conditional Probability
• Normal Distribution
• Models of Populations
• Using Surveys and Experiments

Module 9Trigonometry

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

### Competencies

##### Radical Expressions

Students will demonstrate an understanding of radical equations by simplifying radical expressions and solving radical equations.

##### Factoring and Quadratics

Students will demonstrate an understanding of quadratic functions by factoring, graphing, and solving quadratic equations.

##### Polynomials

Students will demonstrate an understanding of polynomial functions by performing operations on polynomials, graphing polynomials, and proving polynomial identities.

##### Rational Expressions

Students demonstrate an understanding of rational expressions by simplifying rational expressions and solving rational equations.

##### Exponential and Logarithmic Functions

Students will demonstrate an understanding of exponential and logarithmic functions by simplifying exponential and logarithmic expressions and graphing and solving exponential and logarithmic equations.

##### Systems of Equations

Students will demonstrate an understanding of systems of equations by solving linear and nonlinear systems of equations algebraically and graphically.

##### Sequences and Series

Students will demonstrate an understanding of sequences and series by evaluating arithmetic and geometric sequences and series, using sigma notation to evaluate a series, and graphing sequences and series.

##### Statistics

Students will demonstrate an understanding of statistics by explaining events and outcomes, calculating probability, and analyzing surveys and experiments.

##### Trigonometry

Students will demonstrate an understanding of trigonometry by solving problems using the Unit Circle, graphing trigonometric functions, solving problems involving trigonometric functions, and analyzing Pythagorean Identities.