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.


Register for Pre-Calculus

Basic and On Demand are always open for registration.

Plus courses are created upon request.


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
  • Absolute Value Graphs, Equations, and Inequalities

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


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: Additional Topics for Advanced Mathematics

  • Vectors and Vector Operations
  • Unit Vectors and Directional Analysis
  • Application of Vectors
  • Parametric Equations
  • Limits of Functions
  • The Complex Number System

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