Integrated Mathematics 3
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Updated March 21st, 2023

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1st Semester

Unit 1: Parabolas and Quadratic Equations

  Characteristics of Parabolas
  Parabolas in Factored Form
    Parabolas in Factored Form
  Parabolas in Vertex Form
    Parabolas in Vertex Form

  Multiplying Polynomials
    Multiplying Polynomials
    Multiplying Polynomials

  Factoring Trinomials
    Factoring Trinomials
    Factoring Trinomials with Help

  Methods for Solving Quadratic Equations
  Factoring
    Factoring
    Factoring
  Using the Quadratic Formula
    The Quadratic Formula
    The Quadratic Formula
  Completing the Square
    Completing the Square
    Completing the Square


Unit 2: Functions and Volume

  Operations on Polynomials
    Adding Polynomials
    Adding Polynomials
    Subtracting Polynomials
    Subtracting Polynomials
    Multiplying Polynomials
    Multiplying Polynomials

  Volume of an Open Box


Unit 3: Polynomials

  Even, Odd, or Neither
  Even and Odd Degree
  End Behavior

  Domain and Range

  Transformations
    Transformations: Equations to Statements
    Transformations: Statements to Equations


Unit 4: Factors, Zeros, and Graphs

  Factoring the GCF
    Factoring the GCF

  Synthetic Division
    Synthetic Division


Unit 5: Rational Expressions

  Factoring (Prerequisite Skill)
  Reducing (Simplifying) Rational Expressions
  Multiplying Rational Expressions
  Dividing Rational Expressions
  Graphing Rational Expressions and Finding Asympotes
  Graphing Rational Expressions by Transformations
  Solving Linear Equations (Prerequisite Skill)
  Solving Quadratic Equations (Prerequisite Skill)
  Solving Complicated Proportions
  Solving Complicated Proportions 2




2nd Semester


Unit 6: Statistics

  Standard Deviation and Bell Curves
  Standard Deviation
    Bell Curve: Standard Deviation
  Bell Curve: 68-95-99 Rule
    Bell Curve: 68-95-99 Rule
  Margin of Error and Confidence Intervals
    Margin of Error to Confidence Interval
    Margin of Error from Confidence Interval
  Margin of Error & Confidence Intervals by Formula
  Margin of Error & Confidence Intervals by Formula
    Confidence Intervals Using a Formula
    Mean, Standard Deviation, and Margin of Error


Unit 7: Transformations and Radicals

  Simplifying Radical Expressions
    Simplifying Radical Expressions
  Domain and Range
  Domain and Range
    Domain and Range
  Basic Translations (Transformations) of Functions
  Translations / Transformations
    Parabola Translations: From Statements to Equations
    Parabola Translations: From Equations to Statements
    Radical Functions: Translations, Domain, & Range
  Inverse Functions
  Inverse Functions
    Finding Inverses
  Solving Radical Equations
  Solving Radical Equations: Basic
    Solving Radical Equations with Help
    Solving Radical Equations
  Solving Radical Equations: Advanced
    Solving Advanced Radical Equations with Help


Unit 8: Exponential and Logarithmic Functions

  Exponential Functions
  Transforming Exponential Functions
    Transforming Exponential Functions
  Logarithmic Form to Exponential Form
  Properties of Logarithms
  Solving Exponential Equations
  Graphing Logarithmic Functions
    Logarithmic Functions: Translations
  Solving Logarithmic Equations
  Calculating Value Over Time (Growth/Decay Problems)
    Calculating Value Over Time








Note: This course has been changed from previous years. The rest of the units are still in development.



Trigonometry

  Trigonometry Basics: SOH CAH TOA
  Right Triangle Trigonometry
  Trigonometric Angles: Reference Angles, Radians, Unit Circle
  Graphing Sinusoids
  Equations of Musical Notes