AP Calculus
Be The Slime Mold
Notes/HW Keys
AB Calculus
Parent/Student Syllabus
AP Calculus AB College Board Approved Syllabus
BC Calculus
Parent/Student Syllabus
Calculus AB / BC Unit Progression
Unit 2 - Differentiation: Definition and Fundamental Properties
2.1 Defining Average and Instantaneous Rate of Change at a Point
2.2 Defining the Derivative of a Function and Using Derivative Notation (2.2 includes equation of the tangent line)
2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple (2.6 includes horizontal tangent lines, equation of the normal line, and differentiability of piecewise)
Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions
Unit 4 - Contextual Applications of Differentiation
4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration
4.6 Approximating Values of a Function Using Local Linearity and Linearization
4.7 Using L'Hopital's Rule for Determining Limits of Indeterminate Forms
Unit 5 - Analytical Applications of Differentiation
5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
5.3 Determining Intervals on Which a Function is Increasing or Decreasing
5.4 Using the First Derivative Test to Determine Relative Local Extrema
5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
5.9 Connecting a Function, Its First Derivative, and Its Second Derivative (5.9 includes a revisit of particle motion and determining if a particle is speeding up/down.)
Unit 6 - Integration and Accumulation of Change
6.3 Riemann Sums, Summation Notation, and Definite Integral Notation (EXTRA CREDIT)
6.4 The Fundamental Theorem of Calculus and Accumulation Functions (EXTRA CREDIT)
6.5 Interpreting the Behavior of Accumulation Functions Involving Area
6.7 The Fundamental Theorem of Calculus and Definite Integrals
6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
6.10 Integrating Functions Using Long Division and Completing the Square
6.11 Integrating Using Integration by Parts (BC topic)
6.13 Evaluating Improper Integrals (BC topic)
Unit 7 - Differential Equations
7.5 Euler's Method (BC topic)
7.7 Particular Solutions using Initial Conditions and Separation of Variables
Unit 8 - Applications of Integration
8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts
8.13 The Arc Length of a Smooth, Planar Curve and Distance Traveled (BC topic)
Unit 9 - Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC topics)
9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions
9.7 Defining Polar Coordinates and Differentiating in Polar Form
9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve
9.9 Finding the Area of the Region Bounded by Two Polar Curves
Unit 10 - Infinite Sequences and Series (BC topics)