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  • AP Calculus AB
    • AB Unit 1: Functions, Graphs & Limits
    • AB Unit 2: Derivatives
    • AB Unit 3: Derivatives Continued
    • AB Unit 4: Applications of Derivatives
    • AB Unit 5: Definite Integrals
    • AB Unit 6: Diff Eqs & Math Modeling
    • AB Unit 7: Applications of Definite Integrals
    • AB AP Review
  • AP Calculus BC
    • BC Unit 1: Limits, Continuity, Basic Derivatives
    • BC Unit 2: Derivatives
    • BC Unit 3: Derivatives Continued
    • BC Unit 4: Applications of Derivatives
    • BC Unit 5: Definite Integrals
    • BC Unit 6: Diff Eqs & Math Modeling
    • BC Unit 7: Applications of Definite Integrals
    • BC Unit 8: L'Hôpital & Improper Integrals
    • BC Unit 9: Infinite Series
    • BC AP Review
  • Pre-Calculus
    • PreCalc Unit 1
    • PreCalc Unit 2
    • PreCalc Unit 3
    • PreCalc Unit 4
    • PreCalc Unit 5
    • PreCalc Unit 6
    • PreCalc Unit 7
    • PreCalc Unit 8
    • PreCalc Unit 9
    • PreCalc Unit 10
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MathKanection

Unit 1
(Chapter 1):
​Functions

​1.1 Modeling and Equation Solving

Target 1A: Find extrema, zeroes, in odd or even functions
Target 1B: Analyze functions using specific properties
 Graphing Calculator Usage
      Find Someone Who Can...Handout
 Solving Equations Algebraically and Graphically
      Solving Equations Guided Notes
         Solutions
      Practice
         Solutions
      Fundamental Connection Guided Notes
         Solutions
Additional Resources
Difference of Squares
        Khan Academy
        Regents Prep
Factoring Quadratic Expressions
        PurpleMath
        MathGuide

Solving Equations Algebraically
         SOS Math
​         UNCW Digital Lab
Solving Equations Graphically
         MathBits
Solving Radical Equations
         Regents Prep
         PurpleMath
Zeroes, Roots, and X-Intercepts
​         TheMathPage 
 Video Resources
 
Solving Equations Algebraically
 Solving Equations Graphically
 Solving Radical Equations
 Zeroes, Roots, and X-Intercepts
 Modeling Graphs of Data
      Notes
         Solutions

      Trail Activity
         Solutions
Additional Resources
Scatterplots
      Interpreting Scatterplots
 Video Resources
 
Scatter Plots

​1.2 Functions and their Properties

Target 1A: Find extrema, zeroes, in odd or even functions
Target 1B: Analyze functions using specific properties
Is it a Function? Domain, Range & Continuity of Functions
      Guided Notes
         Solutions
Additional Resources
Determing Functions
      Vertical Line Test
      Khan Academy
​Domain and Range
      CoolMath
      Khan Academy
      Interactive Math  
Continuity
     CK12

 Video Resources
 
Determining a Function
 Domain & Range
 Continuity
 Increasing/Decreasing, Maxima/Minima, and Boundedness of Functions
     Handout
        Solutions
Additional Resources
Increasing/Decreasing
      BrainGenie
      MathIsFun
​Maxima/Minima
      CoolMath
Boundedness
      ViTutor
 Video Resources
 
Increasing/Decreasing
 Maxima/Minima
 Boundedness
Domain/Range, Zeroes, Maxima/Minima of Functions
      Walk-A-Round Activity
         Solutions
Symmetry, Horizontal Asymptotes (End Behavior), and Vertical Asymptotes
      Symmetry & End Behavior Guided Notes
         Solutions
      Vertical & Horizontal Asymptotes Guided Notes
​         Solutions
      Vertical & Horizontal Asymptotes Activity
Additional Resources
Symmetry
      Reflective Symmetry
      Khan Academy
      ChiliMath
​End Behavior
      CoolMath

Discontinuities
      CK-12
​Vertical Asymptotes
      PurpleMath

​
 Video Resources
 
Odd or Even Functions
 End Behavior
 Discontinuities
 Vertical Asymptotes

​1.3 Twelve Basic  Functions

Target 1D: Identify and Analyze the Parent Functions
12 Basic Functions
      12 Basic Functions Matching Cards
      12 Basic Functions Handout
         Solutions
 Quizlets for 12 Basic Functions
     Domain
     Range
     Continuity
     Increasing/Decreasing
     Symmetry
     End Behavior
     Asymptotes
     Extrema (Max/Min)
     Boundedness
     12 Basic Functions Flash Cards

​1.4 Building Functions from Functions

Target 1C: Build Functions from Functions (using Sum, Difference, Multiplication, Division, Composition, & Inverse)
Build Functions from Functions
      Guided Notes
         Solutions
      Inverse Guided Notes
         Solutions

      Building Functions Dice Activity
Additional Resources
Soving Equations for a Variable
      VirtualNerd
      Paul's Online Math Notes
​Operations on Functions
      Algebra Lab

      MathIsFun
      Khan Academy
      Regents Prep

      Windstream
​      Math10
Inverse Functions
      Regents Prep
      Paul's Online Notes
      MathCentre

 Video Resources
 
Solving Equations for a Variable
 Operations on Functions
 Inverse Functions

​1.5 Graphical Transformations

Target 1E: Rigid and Non-Rigid Transformations of Quadratic, Cubic, Square Root, and Absolute Value Functions
Graphical Transformations
      Guided Notes
         Solutions
      Graphical Transformations Handout
         Solutions
      Numerical Transformations Handout
         Solutions
Additional Resources
Graphical Transformations
      Regents Prep
      MathIsFun
​      Khan Academy
      AcademicsUTEP

 Video Resources
 
Graphical Transformations

​1.6 Modeling with Functions

Target 1F: Model Real-World Situations and Use Regressions with the Use of Functions
Modeling with Functions
      Guided Notes
         Solutions
      More Modeling with Functions Handout
         Solutions
      Modeling with Functions (cont'd) Handout
​         Solutions
Additional Resources
Writing Mathematical Expressions
      Khan Academy
      LearnNC
​Modeling with Functions
      Modeling with Equations
      Socratic
 Video Resources
 
Writing Mathematical Expressions
Mixture Problems

Chapter Review

      Practice Test
         Solutions
Copyright © 2013
  • Home
  • AP Calculus AB
    • AB Unit 1: Functions, Graphs & Limits
    • AB Unit 2: Derivatives
    • AB Unit 3: Derivatives Continued
    • AB Unit 4: Applications of Derivatives
    • AB Unit 5: Definite Integrals
    • AB Unit 6: Diff Eqs & Math Modeling
    • AB Unit 7: Applications of Definite Integrals
    • AB AP Review
  • AP Calculus BC
    • BC Unit 1: Limits, Continuity, Basic Derivatives
    • BC Unit 2: Derivatives
    • BC Unit 3: Derivatives Continued
    • BC Unit 4: Applications of Derivatives
    • BC Unit 5: Definite Integrals
    • BC Unit 6: Diff Eqs & Math Modeling
    • BC Unit 7: Applications of Definite Integrals
    • BC Unit 8: L'Hôpital & Improper Integrals
    • BC Unit 9: Infinite Series
    • BC AP Review
  • Pre-Calculus
    • PreCalc Unit 1
    • PreCalc Unit 2
    • PreCalc Unit 3
    • PreCalc Unit 4
    • PreCalc Unit 5
    • PreCalc Unit 6
    • PreCalc Unit 7
    • PreCalc Unit 8
    • PreCalc Unit 9
    • PreCalc Unit 10
  • Wall of Success
  • Mathletes
  • About Ms. Kane
  • Contact