Frontlearners General Mathematics

Topic outline

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  Functions and their Graphs

  • GM_001_Lesson File

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    Representing Real-life Situations Using Functions, Including Piece-wise Functions
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    Representing Real-life Situations Using Functions, Including Piece-wise Function
  • GM_002_Lesson File

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    Evaluating a Function

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    Evaluating a Function

  • GM_003_Lesson File

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    Performing Addition, Subtraction, Multiplication, Division, and Composition of Functions

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    Performing  Addition, Subtraction, Multiplication, Division, and Composition of Functions 
    

  • GM_004_Lesson File

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    Solving Problems Involving Functions

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    Solving Problems Involving Functions

  • GM_005_Lesson File

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    Representing Real-life Situations Using Rational Functions

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    Representing Real-life Situations Using Rational Functions

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    Distinguishing Rational Function, Rational Equation, and Rational Inequality

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    Distinguishing Rational Function, Rational Equation, and Rational Inequality

  • GM_007a_Lesson File

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    Solving Rational Equations

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    Solving Rational Equations
  • GM_007b_Lesson File

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    Solving Rational Inequalities

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    Solving Rational Inequalities

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    Representing a Rational Function through its: (a) Table of Values, (b) Graph, and (c) Equation

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    Representing a Rational Function through its: (a) Table of Values, (b) Graph, and (c) Equation
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    Finding the Domain and Range of a Rational Function

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    Finding the Domain and Range of a Rational Function

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    Determining the: (a) Intercepts (b) Zeroes; and (c) Asymptotes of Rational Functions 

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    Determining the: (a) Intercepts (b) Zeroes; and (c) Asymptotes of Rational Functions 

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    Graphing Rational Functions

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    Graphing Rational Functions

  • GM_012_Lesson File

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    Solving Problems Involving Rational Functions, Equations, and Inequalities

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    Solving Problems Involving Rational Functions, Equations, and Inequalities

  • GM_013_Lesson File

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    Representing Real-life Situations Using One-to-One Functions

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    Representing Real-life Situations Using One-to-One Functions

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    Determining the Inverse of a One-to-One Function

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    Determining the Inverse of a One-to-One Function

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    Representing an Inverse Function through its: (a) Table of values, and (b) Graph

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    Representing an Inverse Function through its: (a) Table of values, and (b) Graph

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    Finding the Domain and Range of an Inverse Function

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    Finding the Domain and Range of an Inverse Function

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    Graphing Inverse Functions

  • GM_017_Exercise Quiz

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    Graphing Inverse Functions

  • GM_018_Lesson File

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    Solving Problems Involving Inverse Functions

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    Solving Problems Involving Inverse Functions

  • GM_019_Lesson File

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    Representing Real-life Situations Using Exponential Functions

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    Representing Real-life Situations Using Exponential Functions

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    Distinguishing Exponential Function, Exponential Equation, and Exponential Inequality

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    Distinguishing Exponential Function, Exponential Equation, and Exponential Inequality

  • GM_021_Lesson File

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    Solving Exponential Equations and Inequalities

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    Solving Exponential Equations and Inequalities

  • GM_022_Lesson File

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    Representing an Exponential Function through its: (a) Table of Values, (b) Graph, and (c) Equation

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    Representing an Exponential Function through its: (a) Table of Values, (b) Graph, and (c) Equation

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    Finding the Domain and Range of an Exponential Function
    

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    Finding the Domain and Range of an Exponential Function
  • GM_024_Lesson File

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    Determining the Intercepts, Zeroes, and Asymptotes of an Exponential Function

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    Determining the Intercepts, Zeroes, and Asymptotes of an Exponential Function

  • GM_025_Lesson File

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    Graphing Exponential Functions

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    Graphing Exponential Functions
  • GM_026a_Lesson File

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    Solving Problems Involving Exponential Functions, Equations, and Inequalities (Part 1)
    

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    Solving Problems Involving Exponential Functions, Equations, and Inequalities (Part 1)
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    Solving Problems Involving Exponential Functions, Equations, and Inequalities (Part 2)
    

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    Solving Problems Involving Exponential Functions, Equations, and Inequalities (Part 2)
  • GM_027_Lesson File

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    Representing Real-life Situations Using Logarithmic Functions
    

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    Representing Real-life Situations Using Logarithmic Functions
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    Distinguishing Logarithmic Function, Logarithmic Equation, and Logarithmic Inequality

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    Distinguishing Logarithmic Function, Logarithmic Equation, and Logarithmic Inequality

  • GM_029_Lesson File

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    Illustrating the Laws of Logarithms

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    Illustrating the Laws of Logarithms

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    Solving Logarithmic Equations and Inequalities

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    Solving Logarithmic Equations and Inequalities

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    Representing a Logarithmic Function through its: (a) Table of Values, (b) Graph, and (c) Equation

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    Representing a Logarithmic Function through its: (a) Table of Values, (b) Graph, and (c) Equation

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    Finding the Domain and Range of a Logarithmic Function
    

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    Finding the Domain and Range of a Logarithmic Function
  • GM_033_Lesson File

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    Determining the Intercepts, Zeroes, and Asymptotes of Logarithmic Functions

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    Determining the Intercepts, Zeroes, and Asymptotes of Logarithmic Functions

  • GM_034_Lesson File

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    Graphing Logarithmic Functions

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    Graphing Logarithmic Functions

  • GM_035_Lesson File

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    Solving Problems Involving Logarithmic Function, Equations, and Inequalities
  • GM_035_Exercise Quiz

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    Solving Problems Involving Logarithmic Function, Equations, and Inequalities
• 

  Basic Business Mathematics

  • GM_036_Lesson File

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    Illustrating Simple and Compound Interests

  • GM_036_Exercise Quiz

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    Illustrating Simple and Compound Interests

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    Distinguishing Between Simple and Compound Interests

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    Distinguishing Between Simple and Compound Interests

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    Computing Interest, Maturity Value, Future Value, and Present Value in Simple Interest and Compound Interest Environment

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    Computing Interest, Maturity Value, Future Value, and Present Value in Simple Interest and Compound Interest Environment

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    Solving Problems Involving Simple and Compound Interests

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    Solving Problems Involving Simple and Compound Interests

  • GM_040_Lesson File

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    Illustrating Simple and General Annuities

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    Illustrating Simple and General Annuities

  • GM_041_Lesson File

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    Distinguishing between Simple and General Annuities

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    Distinguishing between Simple and General Annuities

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    Finding the Future Value and Present Value of Both Simple Annuities and General Annuities 

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    Finding the Future Value and Present Value of Both Simple Annuities and General Annuities 

  • GM_043_Lesson File

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    Calculating the Fair Market Value of a Cash Flow Stream that includes an Annuity
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    Calculating the Fair Market Value of a Cash Flow Stream that includes an Annuity
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    Calculating the Present Value and Period of Deferral of a Deferred Annuity

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    Calculating the Present Value and Period of Deferral of a Deferred Annuity

  • GM_045a_Lesson File

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    Illustrating Stocks and Bonds (Part 1 of 2)

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    Illustrating Stocks and Bonds  (Part 1 of 2)

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    Illustrating Stocks and Bonds (Part 2 of 2)

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    Illustrating Stocks and Bonds (Part 2 of 2)

  • GM_046_Lesson File

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    Distinguishing between Stocks and Bonds

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    Distinguishing between Stocks and Bonds

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    Describing the Different Markets for Stocks and Bonds

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    Describing the Different Markets for Stocks and Bonds

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    Analyzing the Different Market Indices for Stocks and Bonds

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    Analyzing the Different Market Indices for Stocks and Bonds

  • GM_049_Lesson File

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    Interpreting the Theory of Efficient Markets

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    Interpreting the Theory of Efficient Markets

  • GM_050_Lesson File

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    Illustrating Business and Consumer Loans

  • GM_050_Exercise Quiz

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    Illustrating Business and Consumer Loans

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    Distinguishing between Business and Consumer Loans

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    Distinguishing between Business and Consumer Loans

  • GM_052_Lesson File

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    Solving Problems involving Business and Consumer Loans

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    Solving Problems involving Business and Consumer Loans

• 

  Logic

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    Illustrating a Proposition
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    Illustrating a Proposition
  • GM_054_Lesson File

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    Symbolizing Propositions
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    Symbolizing Propositions
  • GM_055_Lesson File

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    Distinguishing between Simple and Compound Propositions
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    Distinguishing between Simple and Compound Propositions
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    Performing the Different Types of Operations on Propositions (Part 1)
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    Performing the Different Types of Operations on Propositions (Part 1)
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    Performing the Different Types of Operations on Propositions (Part 2)
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    Performing the Different Types of Operations on Propositions (Part 2)
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    Determining the Truth Values of Propositions
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    Determining the Truth Values of Propositions
  • GM_058a_Lesson File

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    Illustrating the Different Forms of Conditional Propositions (Part 1)
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    Illustrating the Different Forms of Conditional Propositions (Part 1)
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    Illustrating the Different Forms of Conditional Propositions (Part 2)
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    Illustrating the Different Forms of Conditional Propositions (Part 2)
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    Illustrating Different Types of Tautologies and Fallacies (Part 1)
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    Illustrating Different Types of Tautologies and Fallacies (Part 1)
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    Illustrating Different Types of Tautologies and Fallacies (Part 2)
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    Illustrating Different Types of Tautologies and Fallacies (Part 2)
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    Illustrating Different Types of Tautologies and Fallacies (Part 3)
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    Illustrating Different Types of Tautologies and Fallacies (Part 3)
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    Illustrating Different Types of Tautologies and Fallacies (Part 4)
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    Illustrating Different Types of Tautologies and Fallacies (Part 4)
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    Illustrating Different Types of Tautologies and Fallacies (Part 5)
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    Illustrating Different Types of Tautologies and Fallacies (Part 5)
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    Illustrating Different Types of Tautologies and Fallacies (Part 6)
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    Illustrating Different Types of Tautologies and Fallacies (Part 6)
  • GM_060a_Lesson File

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    Determining the Validity of Categorical Syllogisms (Part 1)
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    Determining the Validity of Categorical Syllogisms (Part 1)
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    Determining the Validity of Categorical Syllogisms (Part 2)
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    Determining the Validity of Categorical Syllogisms (Part 2)
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    Establishing the Validity and Falsity of Real-Life Arguments Using Logical Propositions, Syllogisms and Fallacies
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    Establishing the Validity and Falsity of Real-Life Arguments Using Logical Propositions, Syllogisms and Fallacies
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    Illustrating the Different Methods of Proof and Disproof
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    Illustrating the Different Methods of Proof and Disproof
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    Justifying Mathematical and Real-Life Statements Using the Different Methods of Proof and Disproof
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    Justifying Mathematical and Real-Life Statements Using the Different Methods of Proof and Disproof
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  Bibliography

  • Citation of References Page