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    • AB Unit 1: Functions, Graphs & Limits
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    • AB Unit 3: Derivatives Continued
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MathKanection

Unit 5
​(chapter 6):
definite integrals

Rules for Limits, Summation (Sigma) Notation, & Partial Fraction Decomposition
Limit Laws
Sigma Rules 
Partial Fraction Decomposition

5.1 Area with Riemann Sums

Riemann Sums
     Guided Notes
​         Filled In
     Riemann Sums Practice
​        Solutions

    Riemann Sums M/C & FRQ
        Solutions
  
 
    
Riemann Sums Numerically 
        Solutions




     Over and Underestimates Practice
        Solutions

Riemann Sum Resources
     Khan Academy Left & Right Sums
     Khan Academy Over/Under Estimates

5.2 Definite Integrals

Area and Definite Integrals
    Guided Notes
         Filled In

     M/C Practice
        Solutions

     Hot Seat Activity

     FRQ Practice
           Solutions


Area & Definite Integrals Resources
     Khan Academy Accumulation of Change
     Khan Academy Area & Definite Integrals

5.3 Properties of Definite Integrals

Rules for Definite Integrals
    Guided Notes
     M/C Practice
        Solutions

     Extra Practice
​        Solutions
     5.1 - 5.3 Riemann Practice
         Solutions

Rules for Definite Integrals Resources
     Khan Academy Properties of Integrals
     Khan Academy More Properties

6.2 Anti-Differentiation

Antidifferentiation
    Guided Notes
         Filled In
     Antidifferentiation Examples
​        Solutions
     Extra Practice
​        Solutions

Antidifferentiation Resources
     Khan Academy Power Rule
     Khan Academy More Antiderivatives

Fundamental Theorem of Calculus (Definite Integrals)
     Guided Notes
​         
Filled In
     Definite Integrals Practice
        Solutions

FTC (Definite Integral) Resources
     Khan Academy Definite Integrals

 Substitution (Indefinite Integrals)
     Guided Notes
         ​Filled In
     Multiple Choice Practice
        Solutions
     Last Man Standing Activity

     Substitution or Not Handout

        Solutions

Substitution Resources
     Khan Academy Defining U
     Khan Academy Substitution


Substitution (Definite Integrals)
     
Notes
     Practice Handout
        Solutions

Substitution Resources
     Khan Academy Substitution Definite Integral

Antidifferentiation
     
Basic Integration Techniques
        Solutions
     Vectors/Parametric
        Solutions
     FRQ Practice
​        Solutions

6.3 Antidifferentiation by Parts

Antidifferentiation by Parts
     Guided Notes
         Written Notes
     Extra Practice
        Solutions
     Tabular Method Notes

     Practice
        Solutions

Integration by Parts Resources
     Khan Academy Integration by Parts
     Khan Academy By Parts Definite Integral


6.5 Logistic Growth (Partial Fractions)

    Partial Fraction Guided Notes
​        Written Notes
    Partial Fractions Practice
         Solutions


Partial Fraction Resources
     Khan Academy Partial Fraction Integration

5.3 Definite Integrals & Antiderivatives

Average Value of Functions (MVT for Integrals)
    Guided Notes
       Filled In

     M/C Practice
        Solutions

Average Value (& MVT) Resources
     Khan Academy Average Value

5.4 2nd Fundamental Theorem of Calculus

2nd FTC
    Guided Notes
        Filled In

     Practice
        Solutions
     AP FRQS 1995 & 1997
        Solutions

2nd FTC Resources
     Khan Academy 2nd FTC
     Khan Academy 2nd FTC Chain Rule


5.5 Trapezoid Rule

Trapezoid Rule
    Guided Notes
       Filled In
     MC & FRQ Practice
         Solutions

     FRQ Practice
        Solutions


Trapezoidal Rule Resources
     Khan Academy Trapezoidal Rule

Chapter 5 (Unit 4) Review

     Who Wants to be a Millionaire Review Game
     
    Self-Reflection

     Extra Practice Problems
         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
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  • Contact