Mission Statement
Calculus AB
SEMESTER 1
Chapter 1: Review (Lesson Plans & Pacing Guide)
Chapter 2: Limits & Continuity (Lesson Plans & Pacing Guide)
Chapter 3: Derivatives (Lesson Plans & Pacing Guide)
Chapter 4: Analyzing Functions (Lesson Plans & Pacing Guide)
Chapter 5: Applications of Derivatives (Lessons & Pacing Guide)
SEMESTER 2
Chapter 6: Indefinite Integration (Lesson Plans & Pacing Guide)
Chapter 7: Riemann Sums (Lesson Plans & Pacing Guide)
Chapter 8: Definite Integration (Lesson Plans & Pacing Guide)
Chapter 9: Applications of Integrals (Lesson Plans & Pacing Guide)
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!