Geometry

Overview -

Dive deeper into your knowledge of functions by analyzing their key features and combining them to solve real-world problems. Learn about trigonometric functions and their applications, along with new ways to use the coordinate plane to represent different types of functions. Apply these skills to discover the power mathematics has in everyday life and to prepare for advanced mathematical studies in college or your future career.

MAJOR TOPICS AND CONCEPTS -

    • Functions

      • Key Features of Functions and Their Graphs
      • Polynomial Functions
      • Rational Functions
      • Radical Functions
      • Exponential Functions
      • Logarithmic Functions
      • Piecewise Functions

      Applications of Functions

      • Compare Key Features of Functions
      • Systems of Equations
      • Combining Functions
      • Composing Functions
      • Inverse Functions
      • Difference Quotient

      Conic Sections

      • Exploring Conic Sections
      • Circles
      • Parabolas
      • Ellipses
      • Hyperbolas Applications Using Conic Sections

      Sequences and Series

      • Sequences vs. Series
      • Arithmetic Sequences
      • Geometric Sequences
      • Series
      • Applications of Sequences and Series

      Trigonometry

      • Defining Trigonometric Functions and Their Angles
      • Law of Sines
      • Law of Cosines
      • Unit Circle
      • Making the Unit Circle Work for You
      • Graphing the Sine and Cosine Functions
      • Graphing Other Trigonometric Functions
      • Analyzing Trigonometric Functions

      Trigonometric Identities and Formulas

      • Trigonometric Identities
      • Angle Sum and Difference Formulas
      • Double-Angle and Half-Angle Formulas
      • Applying Trigonometric Identities
      • Solving Trigonometric Equations

      Vectors

      • What is a vector?
      • How are vectors written?
      • What vector operations can be applied?
      • How are vectors multiplied?
      • Can vectors change size?
      • Why are vectors useful?

      Analyzing the Coordinate Plane

      • Polar Coordinates
      • Polar Equations
      • Complex Numbers
      • Applications of Complex Numbers
      • Parametric Equations

    Grade Level

    Grade 9, 10, 11, 12

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    Duration

    Annual

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    Prerequisites

     Algebra I, Geometry, & Algebra II

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    Mode

     Online

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    Ratio

    1 Teacher : 9 Student (Standard)

    1 Teacher : 15 Student (max)

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    Exams & Assessments

    Online via Learning Management System

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    Academic Year

    9.6 Months ≈ 10 Months

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    Commencement of Academic Year

    January

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    End of Academic Year

    November

    Requirements

     

    Graphing Calculator