Culminating Semester Project (AP Cal AB / BC)

** Calculus Recipe Project
**

The purpose of this project is to rewrite a recipe using elements of calculus.

Part 1 (25 points): The student must choose a recipe that contains a minimum of 10 numerical values in a recipe. This values include ingredients amount, cooking temperature, baking or cooking time, serving size, etc.

Part 2 (25 points): The student must rewrite all numerical values using the following types of problems one time each. *AP Calculus BC students must use at most five AB topics and the rest of the recipe must be written using BC topics**.*

- Limits using factoring, rationalizing the numerator, or least common denominator
- Limits at Infinity
- Limit using L'hopital's Rule
- Slope of a tangent line using the Power Rule
- Slope of a tangent line using the Product Rule
- Slope of a tangent line using the Quotient Rule
- Slope of a tangent line using the Chain Rule
- Slope of a tangent line using Implicit Differentiation

- Relative minimum or maximum value
- Absolute minimum or maximum value
- Inflection point
- Left Riemann Sum
- Right Riemann Sum
- Definite integral using FTC
- Definite integral using u-substitution
- Definite integral using integration by parts (BC only)
- Definite integral using partial fractions (BC only)
- Improper integral that converges (BC only)
- Convergent geometric series (BC only)
- Radius of convergence of a power series (BC only)
- Arc length in rectangular form (BC only)

- Speed of a particle using parametric equations (BC only)

- Slide 1: Title Slide - Name, Date, Period / Day
- Slide 2: Original recipe
- Slide 3: Rewritten recipe using calculus topics using proper notation

- Slide 4 and beyond: Work shown for each ingredient of the recipe using proper notation and justifying answers when necessary