Mr. Karadimos' Classes & MATHguide
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Updated June 13th, 2018

   This page contains content most students would find to be extremely helpful when learning mathematics in my class.

   Before accessing your class content, familiarize yourself with the meaning of the graphics.

   These classes are currently being taught by me:

   When school is in session, these are the days I am available after school (not on 1/2 days).


   The content that follows will be marked with graphic indicators. The graphic indicators mean...

    for lessons.
    for videos.
    for quizzes.

   There is absolutely every reason succeed. "How?", you ask. You can get help after school by me. Help is available during your supervisory period in the Math Lab. Also, quizzes and tests can be taken during school in the Test Center.

   Be proactive and pursue your education; you owe it to yourself.

   Have a great day!

   Welcome Integrated III students! Use these helpful materials to allow yourself to soar through the mathematics content.

1st Semester

KC1: Polynomials

  Polynomials, Factors, and Zeros
  End Behavior
  Domain and Range
  Synthetic Division
  Maxima and Minima via The Flight of a Projectile
  The Volume of an Open Box

KC2: 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

KC3: Radical Expressions

  Power Rules for Exponents
  Simplifying Exponents
  Radical Functions: Translations, Domain, & Range
  Domain and Range for the Square Root Function
  Solving Radical Functions

KC4: Exponential and Logarithmic Functions

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

2nd Semester

KC5: Trigonometry

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

KC6: Statistics

  Frequency Tables
  Standard Deviation
  Bell Curve: 68-95-99 Rule
  Confidence Interval and Margin of Error with TI-Nspire
  Margin of Error and Confidence Intervals
  Margin of Error & Confidence Intervals by Formula
  Mean, Standard Deviation, and Margin of Error

KC7: Geometric Proofs

  Properties of Quadrilaterals
  Properties of Parallelograms
  Properties of Rectangles
  Coordinate Geometry
  Parallel versus Perpendicular
  Classifying Triangles Using Slope and Distance
  Classifying Parallelograms

KC8: Geometric Modeling

  Area of Common Figures
  Surface Area of Common Solids
  Volume of Common Solids
  Similar Figures: Ratios of Lengths and Areas
  Similar Solids: Ratios of Lengths and Volumes
  Calculating the Diagonal Length of a Cube

   Welcome Pre-Calculus students! I know I can depend on your perserverance; so, here are several MATHguide resources to help you.

1st Semester

KC1: Parent Functions

  Parent Functions
  Domain and Range
  End Behavior
  Even and Odd Functions
  Functions (Evaluation, Operations, Compositions)
  Radical Functions: Translations, Domain, & Range

KC2: Polynomials

  End Behavior of Polynomials
  Graphing Basic Rational Expressions
  Graphing Basic Rational Expressions as Transformations
  Graphing Intermediate Rational Expressions
  Graphing Advanced Rational Expressions

2nd Semester

KC6: Trigonometry

  Trigonometry Basics: SOH CAH TOA
  Right Triangle Trigonometry
  Trigonometric Angles: Reference Angles, Radians, Unit Circle
  Graphing Sinusoids
  The Law of Sines
  The Law of Cosines

KC7: Analytic Trigonometry

  Trigonometric Expressions
  Simplifying Trigonometric Expressions
  Verifying Trigonometric Identities
  Trigonometric Expressions: Steps
  Trigonometric Expressions: Multiple Choice
  Sum & Difference Angle Formula (Sine, Cosine)
  Sum & Difference Angle Formula (Tangent)
  Double Angle Formulas for Sine, Cosine, & Tangent

KC8: Matrices and Vectors

  Matrices: Basics, Add/Subtract/Multiply
  Matrix Inverses
  Matrix Equations
  Partial Fraction Decomposition
  Vectors: Notation, Add/Subtract, Magnitude, Direction
  Engineering Notation
  Unit Vectors
  Dot Product
  Calculating the Angle Between Two Vectors

KC9: Limits

  Limits of the Extreme
  Limits of Ratios of Polynomials
  Limits of Piecewise Functions
  Limits of Piecewise Functions
  Limits: Piecewise Functions
  Limits: Numerical Approach

KC10: Parametric and Polar Equations

  Parametric Equations
  Polar Coordinates
  Rectangular Equations to Polar Equations
  Polar Equations to Rectangular Equations