Pre-Calculus
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Updated October 25th, 2022

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    for lessons.
    for videos.
    for quizzes.

   There is absolutely every reason to 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.

   Make every minute count. Have a great day!


   Welcome Pre-Calculus students!

There is a summer assignment that is due before the start of the school year. Look on Teams for more information.

   When the 2021 school year starts, see your Teams page to sign up for Remind and Khan Academy.

   I know I can depend on your perserverance; so, here are several MATHguide resources to help you throughout the year.

1st Semester

KC1: Parent Functions

 Assignment Guide: KC1 Assignment Schedule

  Parent Functions
      Parent Functions by Name
      Parent Functions by Function

  Translations/Transformations
      Translations (of Parabolas): From Equations to Statements

  Domain and Range
      Domain and Range

  End Behavior
      End Behavior
      End Behavior 2

  Inverses
      Finding Inverses

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



KC2: Polynomials

 Assignment Guide: KC2 Assignment Schedule

  Polynomials

  End Behavior
      End Behavior of Polynomials

  Rational Expressions
      Graphing Basic Rational Expressions
      Graphing Basic Rational Expressions as Transformations
      Graphing Intermediate Rational Expressions
      Graphing Advanced Rational Expressions

  Volume of an Open Box (Dynamic)
      Volume of an Open Box



KC3: Exponential and Logarithmic Functions

 Assignment Guide: KC3 Assignment Schedule

  Exponential Functions
  Translating Exponential Functions
      Exponential Functions: Translations

  Logarithmic Functions
      Logarithmic Functions: Translations

  Properties of Logarithms
  Calculating Value Over Time
      Calculating Value Over Time

  Calculating Value Over Time 2
      Calculating Value Over Time 2

  Solving Logarithmic Equations



KC4: Conic Sections

 Assignment Guide: KC4 Assignment Schedule

  Conic Sections (all)

      Conic Sections: Equations of Circles

      Parabolas: Directrix, Focus, Vertex
      Parabolas: Graphing
      Parabolas: Building Equations
      Parabolas

      Graphing Ellipses
      Equations of Ellipses Given Foci and Vertices
      Graphing Ellipses

      Graphing Hyperbolas
      Graphing Hyperbolas

      Identify the Conic Section
      Conic Sections: General Form to Standard Form
      General Form to Standard Form [with help]
      General Form to Standard Form



2nd Semester

KC5: Trigonometry

 Assignment Guide: KC5 Assignment Schedule

  Trigonometry Basics: SOH CAH TOA
  Right Triangle Trigonometry
      Sine Problem
      Cosine Problem
      Tangent Problem

  Trigonometric Angles: Reference Angles, Radians, Unit Circle

  Graphing Sinusoids
      Graphs to Equations

  Math Art Project



KC6: Analytic Trigonometry

 Assignment Guide: KC6 Assignment Schedule

  Trigonometric Expressions
      Simplifying Trigonometric Expressions
      Simplifying Trigonometric Expressions: Common Denominator
      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

  The Law of Sines
      The Law of Sines: Ambiguous Case (SSA)
      Law of Sines: Ambiguous Case (SSA)

  The Law of Cosines




KC7: Discrete Math

 Assignment Guide: KC7 Assignment Schedule

  Basic Counting
  Complex Counting
  Placement Counting

  Binomial Theorem
      Expanding Binomials
      Expanding Binomials
      Finding the nth Term
      Finding the nth Term

  Arithmetic Sequences and Series
      Finding a Formula
      Finding the Number of Terms of a Sequence
      Finding the Sum of a Series 1
      Finding the Sum of a Series 2
      Sum of First N Multiples of M
      Sum of First N Multiples of M 2

  Geometric Sequences and Series
      Finding a Formula
      Finding the Sum of a Finite Series
      Finding the Sum of an Infinite Series

  Sigma Notation
  Sigma Notation: Arithmetic Series
  Sigma Notation: Geometric Series




KC8: Matrices and Vectors

 Assignment Guide: KC8 Assignment Schedule

  Matrices: Add, Subtract, Multiply
      Adding Matrices
      Subtracting Matrices
      Scalar Multiplication
      Multiplying Matrices

  Inverse Matrices
      Inverse Matrices
      Inverse Matrices

  Matrix Equations

  Solving Systems of Equations by RREF

  Interpreting RREF Augmented Matrices

  Partial Fraction Decomposition
      Partial Fractions including Repeating Linear Factors
      Partial Fraction Decomposition

  Vectors: Notation, Add/Subtract, Magnitude, Direction
      Horizontal and Vertical Components
      Adding Vectors
      Subtracting Vectors
      Finding Magnitude
      Finding Direction

  Engineering Notation

  Unit Vectors
      Creating Unit Vectors
      Finding Unit Vectors

  Dot Product
      Finding Vector Dot Products
      Finding Vector Dot Products

  Angle Between Two Vectors
      Calculating the Angle Between Two Vectors
      Calculating the Angle Between Two Vectors

  Word Problems
      Work Problem: Force times a Distance
      Vectors: Work Problems
      Vectors: Inclined Planes
      Vectors: Inclined Plane Problems




KC9: Limits

 Assignment Guide: KC9 Assignment Schedule

  Limits

      Limits of the Extreme

      Limits of Ratios of Polynomials
      Limits: Ratios of Polynomials

      Limits by Conjugates
      Limits: By Conjugates

      Limits by Factoring
      Limits by Factoring

      Limits of Piecewise Functions
      Limits: Piecewise Functions

      Limits: Numerical Approach
      Limits: A Numerical Approach

      Continuity




KC10: Parametric and Polar Equations

 Assignment Guide: KC10 Assignment Schedule

  Parametric Equations
      Parametric Equations 1
      Parametric Equations 2
      Parametric Equations 3

  Polar Coordinates
      Polar Conversions
      Polar Conversions 2

  Rectangular Equations to Polar Equations
  Polar Equations to Rectangular Equations