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High School Algebra II

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Description

Algebra 2 is an advanced course which allows students to learn content through hands-on activities, applications, group interactions, 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 and work with their peers on specific lessons.

Segment One

Module 01 - Radical and Polynomial Operations

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

Module 02 - Factoring and Quadratics

  • 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 03 - Solving Polynomials

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

Module 04 - Rational Equations

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

Segment Two

Module 05 - Exponential and Logarithmic Functions

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

Module 06 - Systems of Equations

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

Module 07 - Sequences and Series

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

Module 08 - Statistics

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

Module 09 - Trigonometry

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