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Algebra 2

Basic & On Demand

Enrollment for Basic and On Demand courses is open on a rolling basis.

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Plus

Teachers can use the complete Plus course curriculum for flexible instruction.

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Course Summary

Learn how to use algebra to solve real-world problems such as calculating the amount of money you could make from an investment or determining the number of products you need to sell to hit a sales goal. Appreciate the power and usability of algebraic formulas in business, education, and life. In this course, students develop an in-depth understanding of all facets of algebra including mathematical reasoning, probability, polynomial functions, exponential, logarithmic, radical and rational functions.

Curriculum

This is a 2-semester course. We do not recommend taking both semesters simultaneously.

Unit 1: Sequences and Series
  • Mathematical Patterns
  • Arithmetic Sequences
  • Geometric Sequences
  • Arithmetic Series
  • Geometric Series
Unit 2: Applying Geometric Concepts
  • A New Look at Parabolas
  • Circles in the Coordinate Plane
  • Graphing by Completing the Square
Unit 3: Linear Equations, Inequalities, and Functions
  • Transforming Functions
  • Absolute Value Graphs
  • Two-variable Inequalities
  • Solving Systems of Equations Graphically
  • Solving Systems of Equations Algebraically
  • Systems of Inequalities
  • Applications
Unit 4: Polynomials and Polynomial Functions
  • Polynomial Functions
  • Adding and Subtracting Polynomials
  • Multiplying Polynomials
  • Dividing Polynomials
  • Polynomials, Linear Factors and Zeros
  • Solving Polynomial Equations
  • Rational Roots Theorem
  • Fundamental Theorem of Algebra
  • Graphing Polynomial Functions
  • Transforming Polynomial Functions
Unit 5: Rational Expressions and Functions
  • Simplifying Rational Expressions
  • Multiplying Rational Expressions
  • Dividing Rational Expressions
  • Adding and Subtracting Rational Expressions Part 1
  • Adding and Subtracting Rational Expressions Part 2
  • Graphing Rational Functions Part 1
  • Graphing Rational Functions Part 2
  • The Reciprocal Function Family
Unit 6: Roots and Radical Functions
  • Roots and Radical Expressions
  • Multiplication and Division of Radical Functions
  • Binomial Radical Expressions
  • Rational Exponents
  • Solving Square Root
  • Function Operations
  • Inverse Relations and Functions
  • Graphing Radical Functions
Unit 7: Exponential and Logarithmic Functions
  • Exploring Exponential Models
  • Properties of Exponential Functions
  • Exponential Functions and Their Inverses
  • Logarithms and Their Graphs
  • Properties of Logarithms
  • Change of Base
  • Exponential and Logarithmic Equations
Unit 8: Trigonometric Functions
  • Exploring Periodic Data
  • Angles and the Unit Circle
  • Radian Measure
  • The Sine Function
  • The Cosine Function
  • Translating Sine and Cosine Functions
  • The Tangent Function
  • Reciprocal Trigonometric Functions
Unit 9: Data Analysis
  • Components of a Statistical Study
  • Normal Distributions Part 1
  • Normal Distributions Part 2
  • Simulations with Spinners
  • Simulations with Dice
  • Margin of Error
  • Inferences