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Calculus AB

SEMESTER 1
Chapter 1: Review (Lesson Plans & Pacing Guide) 
  • Lesson 1: Algebra Review
  • Lesson 2: Pre-Calculus Review 
  • Lesson 3: Trigonometry Review
  • Ch. 1 Review
  • Ch. 1 Test

Chapter 2: Limits & Continuity (Lesson Plans & Pacing Guide)
  • Lesson 1: Limits Graphically
  • Lesson 2: Basic Limits Analytically
  • Lesson 3: Piecewise Limits Analytically
  • Lesson 4: Limits to Infinity Analytically
  • AP Multiple Choice Questions
  • Quiz 2.1-2.4
  • Lesson 5: Continuity Graphically 
  • Lesson 6: Continuity with Piecewise Functions
  • Lesson 7: Continuity with Missing Variables
  • Ch. 2 Review
  • Ch. 2 Test

Chapter 3: Derivatives (Lesson Plans & Pacing Guide)
  • Lesson 1: Average Rate of Change
  • Lesson 2: Definition of a Derivative
  • Lesson 3: Power Rule
  • Lesson 4: Advanced Power Rule
  • Lesson 5: Second Derivative & Derivatives with Tables
  • Quiz 3.1-3.5 
  • Lesson 6: Derivatives of Exponential Functions
  • Lesson 7: Derivatives of Natural Logs
  • Lesson 8: Derivatives of Simple Trig Functions
  • Lesson 9: Product Rule
  • Lesson 10: Quotient Rule
  • Quiz 3.6-3.10
  • Lesson 11: Chain Rule 
  • Lesson 12: Double Chain Rule
  • Lesson 13: Derivatives of Inverse Functions
  • Lesson 14: Inverse Trigonometry 
  • Lesson 15: Mixing all the Rules
  • AP Multiple Choice Questions
  • Quiz 3.11-3.15
  • Lesson 16: Implicit Differentiation
  • Lesson 17: Second Derivative of Implicit Differentiation 
  • Ch. 3 Review
  • Ch. 3 Test

Chapter 4: Analyzing Functions (Lesson Plans & Pacing Guide)
  • Lesson 1: Differentiability
  • Lesson 2: Differentiability with Piecewise Functions
  • Lesson 3: Differentiability with a Missing Variable
  • Lesson 4: Critical Numbers
  • Quiz 4.1-4.4
  • Lesson 5: Increasing and Decreasing Functions
  • Lesson 6: First Derivative Test Graphically & EVT 
  • Lesson 7: First Derivative Test Algebraically
  • Lesson 8: Max & Mins with intervals
  • Quiz 4.5-4.8
  • Lesson 9: Points of Inflection & Concavity
  • Lesson 10: f'(x) to f(x) graphically
  • Lesson 11: Mean Value Theorem
  • Lesson 12: Intermediate Value Theorem
  • AP Multiple Choice and Free Response Questions
  • Ch. 4 Review
  • Ch. 4 Test

Chapter 5: Applications of Derivatives (Lessons & Pacing Guide)
  • Lesson 1: Equation of Tangent & Normal Lines 
  • Lesson 2: Linear Approximation
  • Lesson 3: Position, Velocity, Acceleration
  • Lesson 4: Intervals of Direction
  • Lesson 5: Speeding Up or Slowing Down
  • 5.1-5.5 Multiple Choice & Free Response 
  • Lesson 6: Intro to Related Rates
  • Lesson 7: Beginner Related Rates
  • Lesson 8: Intermediate Related Rates
  • Lesson 9: Advanced Related Rates
  • 5.6-5.9 Multiple Choice & Free Response
  • Lesson 10: L'Hopital's Rule
  • Lesson 11: Advanced L'Hopital's Rule (Cal BC)
  • Ch. 5 Review
  • Ch. 5 Test


SEMESTER 2
Chapter 6: Indefinite Integration (Lesson Plans & Pacing Guide)
  • Lesson 1: Boost & Divide
  • Lesson 2: Particular Solution & Trig Integration
  • Lesson 3: U-substitution
  • Lesson 4: Trig U-substitution
  • Lesson 5: Mixing Integrals​
  • Quiz 6.1-6.5
  • Lesson 6: Integration of Exponential Functions
  • Lesson 7: Integration with Natural Logs
  • Ch. 6 Review
  • Ch. 6 Test

Chapter 7: Riemann Sums (Lesson Plans & Pacing Guide)
  • Lesson 1: Summations & Area
  • Lesson 2: Left & Right Hand Rule
  • Lesson 3: Midpoint Rule
  • Lesson 4: Trapezoidal Rule
  • Lesson 5: Riemann Practice
  • Lesson 6: Real-World Riemann Sums
  • Ch.7 Review
  • Ch. 7 Test

Chapter 8: Definite Integration (Lesson Plans & Pacing Guide)
  • Lesson 1: Fundamental Theorem of Calculus Graphically
  • Lesson 2: FTC with Functions
  • Lesson 3: Advanced FTC with Graphs
  • Lesson 4: FTC with u-substitution
  • Lesson 5: Manipulating FTC
  • Quiz 8.1-8.5
  • Lesson 6: Average Value    
  • Lesson 7: Second FTC
  • Lesson 8: Integration of Absolute Values (Cal BC)
  • Ch. 8 Review
  • Ch. 8 Test

Chapter 9: Applications of Integrals (Lesson Plans & Pacing Guide)
  • Lesson 1: Area Between Two Curves
  • Lesson 2: Area Between Two Curves with Respect to y-axis
  • Lesson 3: Disk Method
  • Lesson 4: Washer Method
  • Lesson 5: Volume Revolving around a different axis of rotation
  • Lesson 6: Volume of Cross Sections
  • 9.1-9.6 Free Response
  • Lesson 7: Differential Equations
  • Lesson 8: Slope Fields
  • Time for the Released Practice Exam and Review!


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