Frontlearners Pre-Calculus

Topic outline

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  Analytic Geometry

  • PreCalculus_001_Lesson File

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    Illustrating the Different Types of Conic Sections: Parabola, Ellipse, Circle, Hyperbola, and Degenerate Cases

  • PreCalculus_001_Quiz

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    Illustrating the Different Types of Conic Sections: Parabola, Ellipse, Circle, Hyperbola, and Degenerate Cases

  • PreCalculus_002_Lesson File

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    Defining a Circle

  • PreCalculus_002_Quiz

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    Defining a Circle

  • PreCalculus_003_Lesson File

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    Determining the Standard Form of Equation of a Circle

  • PreCalculus_003_Quiz

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    Determining the Standard Form of Equation of a Circle

  • PreCalculus_004_Lesson File

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    Graphing a Circle in a Rectangular Coordinate System

  • PreCalculus_004_Activity Page

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    Graphing a Circle in a Rectangular Coordinate System

  • PreCalculus_005_Lesson File

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    Defining a Parabola
    

  • PreCalculus_005_Quiz

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    Defining a Parabola

  • PreCalculus_006_Lesson File

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    Determining the Standard Form of Equation of a Parabola

  • PreCalculus_006_Quiz

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    Determining the Standard Form of Equation of a Parabola

  • PreCalculus_007_Lesson File

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    Graphing a Parabola in a Rectangular Coordinate System
    

  • PreCalculus_007_Activity Page

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    Graphing a Parabola in a Rectangular Coordinate System

  • PreCalculus_008_Lesson File

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    Defining an Ellipse
    

  • PreCalculus_008_Quiz

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    Defining an Ellipse

  • PreCalculus_009_Lesson File

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    Determining the Standard Form of Equation of an Ellipse
    

  • PreCalculus_009_Quiz

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    Determining the Standard Form of Equation of an Ellipse

  • PreCalculus_010_Lesson File

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    Graphing an Ellipse in a Rectangular Coordinate System

  • PreCalculus_010_Activity Page

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    Graphing an Ellipse in a Rectangular Coordinate System

  • PreCalculus_011_Lesson File

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    Defining a Hyperbola

  • PreCalculus_011_Quiz

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    Defining a Hyperbola
    

  • PreCalculus_012_Lesson File

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    Determining the Standard Form of Equation of a Hyperbola

  • PreCalculus_012_Quiz

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    Determining the Standard Form of Equation of a Hyperbola

  • PreCalculus_013_Lesson File

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    Graphing a Hyperbola in a Rectangular Coordinate System

  • PreCalculus_013_Activity Page

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    Graphing a Hyperbola in a Rectangular Coordinate System

  • PreCalculus_014_Lesson File

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    Recognizing the Equation and Important Characteristics of the Different Types of Conic Sections

  • PreCalculus_014_Quiz

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    Recognizing the Equation and Important Characteristics of the Different Types of Conic Sections

  • PreCalculus_015_Lesson File

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    Solving Situational Problems Involving Conic Sections

  • PreCalculus_015_Activity Page

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    Solving Situational Problems Involving Conic Sections

  • PreCalculus_016_Lesson File

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    Illustrating Systems of Nonlinear Equations

  • PreCalculus_016_Quiz

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    Illustrating Systems of Nonlinear Equations

  • PreCalculus_017_Lesson File

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    Determining the Solutions of Systems of Nonlinear Equations Using Techniques such as Substitution, Elimination, and Graphing
    

  • PreCalculus_017_Activity Page

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    Determining the Solutions of Systems of Nonlinear Equations Using Techniques such as Substitution, Elimination, and Graphing
    

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  Series and Mathematical Induction

  • PreCalculus_019_Lesson File

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    Illustrating a Series

  • PreCalculus_019_Quiz File

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    Illustrating a Series

  • PreCalculus_020_Lesson File

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    Differentiating a Series from a Sequence

  • PreCalculus_020_Quiz File

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    Differentiating a Series From a Sequence

  • PreCalculus_021_Lesson File

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    Using the Sigma Notation to Represent a Series

  • PreCalculus_021_Quiz File

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    Using the Sigma Notation to Represent a Series
    

  • PreCalculus_022_Lesson File

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    Illustrating the Principle of Mathematical Induction
  • PreCalculus_022_Quiz File

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    Illustrating the Principle of Mathematical Induction
    

  • PreCalculus_023_Lesson File

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    Applying Mathematical Induction in Proving Identities

  • PreCalculus_023_Quiz File

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    Applying Mathematical Induction in Proving Identities
    

  • PreCalculus_024_Lesson File

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    Illustrating Pascal’s Triangle In the Expansion of (𝑥+𝑦)^𝑛 for Small Positive Integral Values of 𝑛

  • PreCalculus_024_Quiz File

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    Illustrating Pascal’s Triangle In the Expansion of (x + y)^n for Small Positive Integral Values of n

  • PreCalculus_025_Lesson File

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    Proving the Binomial Theorem

  • PreCalculus_025_Quiz File

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    Proving the Binomial Theorem
    

  • PreCalculus_026_Lesson File

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    Determining Any Term of (𝑥+𝑦)^𝑛 , Where 𝑛 is a Positive Integer, Without Expanding

  • PreCalculus_026_Quiz File

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    Determining Any Term of (x + y)^n , Where n is a Positive Integer, Without Expanding

  • PreCalculus_027_Lesson File

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    Solving Problems Using Mathematical Induction and the Binomial Theorem

  • PreCalculus_027_Quiz File

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    Solving Problems Using Mathematical Induction and the Binomial Theorem
    

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  Trigonometry

  • PreCalculus_028_Lesson File

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    Illustrating the Unit Circle and the Relationship Between the Linear and Angular Measures of a Central Angle in a Unit Circle
  • PreCalculus_028_Quiz File

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    Illustrating the Unit Circle and the Relationship Between the Linear and Angular Measures of a Central Angle in a Unit Circle

  • PreCalculus_029_Lesson File

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    Converting Degree Measure to Radian Measure and Vice Versa
    
  • PreCalculus_029_Quiz File

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    Converting Degree Measure to Radian Measure and Vice Versa
    

  • PreCalculus_030_Lesson File

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    Illustrating Angles in Standard Position and Co-terminal Angles
  • PreCalculus_030_Quiz File

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    Illustrating Angles in Standard Position and Coterminal Angles
    

  • PreCalculus_031_Lesson File

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    Illustrating the Different Circular Functions

  • PreCalculus_031_Quiz File

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    Illustrating the Different Circular Functions
    

  • PreCalculus_032_Lesson File

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    Using Reference Angles to Find Exact Values of Circular Functions
    

  • PreCalculus_032_Quiz File

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    Illustrating Angles in Standard Position and Coterminal Angles
    

  • PreCalculus_033_Lesson File

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    Determining the Domain and Range of the Different Circular Functions
    

  • PreCalculus_033_Quiz File

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    Determining the Domain and Range of the Different Circular Functions
    

  • PreCalculus_034_Lesson File

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    Graphing the Six Circular Functions (a) Amplitude, (b) Period, and (c) Phase Shift

  • PreCalculus_035_Lesson File

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    Solving Problems Involving Circular Functions

  • PreCalculus_035_Quiz File

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    Solving Problems Involving Circular Functions
    

  • PreCalculus_036_Lesson File

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    Determining Whether an Equation is an Identity or a Conditional Equation

  • PreCalculus_036_Quiz File

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    Determining Whether an Equation is an Identity or a Conditional Equation
    

  • PreCalculus_037_Lesson File

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    Deriving the Fundamental Trigonometric Identities

  • PreCalculus_037_Quiz File

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    Deriving the Fundamental Trigonometric Identities
    

  • PreCalculus_038_Lesson File

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    Deriving Trigonometric Identities Involving Sum and Difference of Angles

  • PreCalculus_038_Quiz File

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    Deriving Trigonometric Identities Involving Sum and Difference of Angles
    

  • PreCalculus_039_Lesson File

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    Deriving the Double and Half-angle Formulas

  • PreCalculus_039_Quiz File

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    Deriving the Double and Half-angle Formulas
    

  • PreCalculus_040_Lesson File

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    Simplifying Trigonometric Expressions
    

  • PreCalculus_040_Quiz File

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    Simplifying Trigonometric Expressions
    

  • PreCalculus_041_Lesson File

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    Proving Other Trigonometric Identities
    

  • PreCalculus_041_Quiz File

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    Proving Other Trigonometric Identities
    

  • PreCalculus_042_Lesson File

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    Solving Situational Problems Involving Trigonometric Identities
    

  • PreCalculus_042_Quizs File

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    Solving Situational Problems Involving Trigonometric Identities
    

  • PreCalculus_043_Lesson File

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    Illustrating the Domain and Range of the Inverse Trigonometric Functions
    

  • PreCalculus_043_Quiz File

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    Evaluating an Inverse Trigonometric Expression
    

  • PreCalculus_044_Lesson File

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    Evaluating an Inverse Trigonometric Expression
    

  • PreCalculus_044_Quiz File

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    Evaluating an Inverse Trigonometric Expression
    

  • PreCalculus_045_Lesson File

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    Solving Trigonometric Equations
    

  • PreCalculus_045_Quiz File

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    Solving Trigonometric Equations
    

  • PreCalculus_046_Lesson File

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    Solving Situational Problems Involving Inverse Trigonometric Functions and Trigonometric Equations
    

  • PreCalculus_046_Quiz File

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    Solving Situational Problems Involving Inverse Trigonometric Functions and Trigonometric Equations

  • PreCalculus_047_Lesson File

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    Locating Points in Polar Coordinate System
  • PreCalculus_047_Quiz File

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    Locating Points in Polar Coordinate System
    

  • PreCalculus_048_Lesson File

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    Converting the Coordinates of a Point from Polar to Rectangular Systems and Vice Versa
    

  • PreCalculus_048_Quiz File

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    Converting the Coordinates of a Point from Polar to Rectangular Systems and Vice Versa

  • PreCalculus_049_Lesson File

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    Solving Situational Problems Involving Polar Coordinate System
    

  • PreCalculus_049_Quiz File

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    Solving Situational Problems Involving Polar Coordinate System
    

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  Bibliography
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  Topic 5
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  Topic 6