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High School Algebra II for Credit Recovery

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Suggested Prerequisites

Algebra 2

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. This course is an advanced course using hands-on activities, applications, and the latest technology.

Module One

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

Module Two

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

Module Three

  • 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 Four

  • Polynomial Long Division
  • Polynomial Synthetic Division
  • Theorems of Algebra
  • Rational Root Theorem and Descartes' Rule of Signs
  • Solving Polynomial Equations
  • Graphing Polynomial Equations
  • Polynomial Identities and Proofs

Module Five

  • 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


Module Six

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

Module Seven

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

Module Eight

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

Module Nine

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

Module Ten

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