Mathematics Projects,
Notes, and Proofs

Algebra

• Asteroid Impact! ... Exploring Quadratic Functions
• The Basketball Shoe Problem (*) ... Scatter Plots and Regression Lines
• Exploration of Hurricane Data ... Scatter Plots and Regression Lines
• Exploration of the Number Pi ... and a Calculation the Speed of the Earth as it Orbits the Sun ... Scatter Plots and Regression Lines
• Exploration of Water Level Data ... Scatter Plots, Regression Lines, and Piecewise Defined functions
• Exploration of Bachelor Degree Statistics (Using the Graphic Display Calculator) ... Scatter Plots and Regression Lines [Non-GDC Version]

Calculus

• Mr. Whitney's AP Calculus Resources Web Page
  [Several additional pages of Calculus topics available from the above page.]
• Project: Implicit Differentiation and the Eight Curve
• Project: Is Something Fishy? An Optimization Problem

Geometry

• Proof of the Pythagorean Theorem
• A "Magic" Trick with Collinear Points

Notes and Proofs

• Linear Equations ... Review Notes
• Proof that the Square Root of Two is Irrational
• Proof of the Quadratic Formula
• A Definition of the Number e
• Does 0.999... = 1?
• 36 Methods of Proof [Humor]

Precalculus

• Trigonometry Resource Notes
  • Fundamental Trigonometric Identities (with Unit Circle)
  • Properties of Trigonometric Functions
• Ln(–1) = 3.141527 i ... A Startling Discovery!
• Does sin2x = sin x2?
• The Law of Sines: The Ambiguous Case of Two Triangles

Statistics & Probability

• Reliance on Medical Testing (*) ... What does a positive test result mean?
• Probability, Steroid Testing, & Baseball: A Conditional Probability Exercise
• Exploration: "Waste Not / Want Not" ... Using Statistics to determine if communities are producing "too much" waste.