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High School Liberal Arts Mathematics II

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Get ready to dive in to Liberal Arts Math II through interactive video-based content. Successful completion of Algebra I and Geometry is required. Additionally, most districts recommend successful completion of Algebra II in their pupil progression plan to fully extend key concepts and prepare you for your mathematical future. The course incorporates the following Standards for Mathematical Practice: Rational Numbers, Seeing Structure in Expressions, Reasoning with Equations and Inequalities, Interpreting Functions, Arithmetic with Polynomials and Rational Expressions, Linear, Quadratic, and Exponential Models, Expressing Geometric Properties with Equations, Conditional Probability and the Rules of Probability, and Making Inferences and Justifying Conclusions.

Segment One

Module 01 - Rational Exponents and Complex Numbers

  • Rational Exponents
  • Properties and Applications of Exponents
  • Graphs of Radical Functions
  • Complex Numbers

Module 02 - Quadratics

  • Factoring and Graphing Quadratics
  • Completing the Square
  • The Quadratic Formula
  • Graphing Systems of Equations
  • Conics

Module 03 - Polynomials and Rational Equations

  • The Remainder Theorem
  • Solving Polynomials by Factoring
  • Sketching Polynomials by Finding Zeros
  • Polynomial Identities
  • Rational Expressions
  • Graphing Rational

Module 04 - Exponential and Logarithmic Equations

  • Exponential Functions
  • Growth and Decay Models
  • Transformations
  • Solving Equations using Logarithms
  • Graphing Exponential and Logarithmic Functions

Segment Two

Module 01 - Arithmetic and Geometric Sequences and Series

  • Arithmetic Sequences
  • Geometric Sequences
  • Sum of Finite Geometric Series
  • Applications of Series

Module 02 - Plane Geometry and Trigonometric Graphs

  • Perpendicular Lines
  • Proofs on the Coordinate Plane
  • Proving Theorems Algebraically
  • Trigonometric Graphing
  • Absolute Value and Piecewise Functions

Module 03 - Independent and Conditional Probability

  • Introduction to Probability
  • Two-way Tables
  • Independence vs Dependence
  • Conditionality

Module 04 - Statistics

  • Introduction to Statistics
  • Simulations
  • Statistical Studies
  • Evaluating Reports
  • Estimations and Predictions
  • Analyzing and Presenting Data