Pre-Calculus

Logarithms and Trigonometry and Parabolas--oh my! If these mathematical buzz words strike fear into your heart, don’t worry: you’re not alone. You’ll soon master these concepts, as well as radicals, fractional exponents and other topics with Scout’s Pre-Calculus class. Lessons and skill assessments are designed to maximize your understanding and retention of key math concepts so that you have the skills to ace the test. RECOMMENDED PREREQUISITE: Successful completion of Algebra II.

Register for Pre-Calculus

Basic and On Demand are always open for registration.

Plus courses are created upon request.

SEMESTER 1

Unit 1: Algebraic Functions

  • Linear Equations and Their Graphs
  • Functions Operations
  • Inverse Functions
  • Graphing Quadratic Functions
  • Polynomial Division and Complex Roots
  • Graphs of Polynomial Functions
  • Graphing Rational Expressions
  • Solving Radical Equations
  • Sketching Graphs Using Function Transformations

Unit 2: Exponential and Logarithmic Functions

  • Exponential Functions and Their Graphs
  • Logarithmic Functions and Their Graphs
  • Properties of Logarithms
  • Change of Base
  • Rewriting Logarithmic Expressions
  • Solving Exponential Equations
  • Solving Logarithmic Equations
  • Exponential Growth and Decay Models
  • Logarithmic Models

Unit 3: Systems of Equations

  • The Substitution Method
  • Nonlinear Systems of Equations
  • Solving Systems of Equations Graphically
  • The Elimination Method
  • Modeling and Optimization with Two-Variable Linear Systems
  • Modeling with Non-Linear Systems

Unit 4: Topics of Analytic Geometry

  • Introduction to Conics: Parabolas
  • Finding the Standard Equation of a Parabola
  • Applications of Parabolas
  • Finding the Standard Equation of an Ellipse
  • Graphing an Ellipse
  • Applications of Ellipses
  • Finding the Standard Equation of a Hyperbola
  • Using Asymptotes to Sketch a Hyperbola
  • Using Asymptotes to Find the Standard Equation

SEMESTER 2

Unit 5: Trigonometry

  • Trigonometric Ratios and Special Right Triangles
  • Applications Involving Right Triangles
  • Radian Measures
  • Arc Length and the Area of a Circle
  • The Unit Circle
  • Evaluate Trigonometric Functions Using the Unit Circle
  • Evaluate Trigonometric Functions Given a Point
  • Find Reference Angles
  • Use Reference Angles to Evaluate Trigonometric Functions

Unit 6: Graphs and Inverses of Trigonometric Functions

  • Sine and Cosine Curves
  • Amplitude and Period
  • Translations of Sine and Cosine Curves
  • Graph of the Tangent Function
  • Graph of the Cotangent Function
  • Graph of Secant
  • Graph of the Cosecant Function
  • Inverse Sine and Cosine Functions
  • Inverse Tangent Function

Unit 7: Analytic Trigonometry

  • Basic Trigonometric Identities
  • Simplifying Trigonometric Expressions
  • Factoring Trigonometric Expressions
  • Combining Rational Trigonometric Expressions
  • Finding Trigonometric Values
  • Verifying Trigonometric Identities
  • Using Standard Algebraic Techniques to Solve Trigonometric Identities
  • Solving Quadratic Trigonometric Equations
  • Solving Trigonometric Equations Involving Multiple Angles
  • Using Sum and Difference Formulas to Evaluate Trigonometric Functions
  • Using Sum and Difference Formulas to verify Identities and Solve Trigonometric Equations

Unit 8: Additional Topics in Trigonometry

  • Using the Law of Sines and Law of Cosines to Solve an Oblique Triangle
  • Applications of the Law of Sines and Law of Cosines
  • Finding the Area of an Oblique Triangle

Unit 9: A Glimpse of Calculus

  • Vectors and Vector Operations
  • Unit Vectors and Directional Analysis
  • Application of Vectors
  • Parametric Equations
  • Limits of Functions