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Algebra 2

For Students

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

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For Educators

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 two-semester course. Each semester requires a commitment of approximately 70 or more hours of coursework. While students may enroll in both semesters within the same term, UC Scout does not recommend this due to the intensive workload, especially during shorter terms like summer.

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