**SMALL WORLD, ISN'T IT?** Beginning with a table of population data, students study
situations involving rates of growth, develop the concept of slope, and then generalize this to the idea
of the derivative.

**THE GAME OF PIG** Students develop a mathematical analysis for a complex game based on an
area model for probability.

**HIGH DIVE** Using trigonometry, polar coordinates, and the physics of falling objects,
students model this problem: When should a diver on a Ferris wheel aiming for a moving tub of water be
released in order to create a splash instead of a splat?

**THE WORLD OF FUNCTIONS** In this unit, students explore families of functions in terms of
various representationsâ€”tables, graphs, algebraic representations, and situations they can model; they
also explore ways of combining functions using arithmetic operations and composition.

**IS THERE REALLY A DIFFERENCE?** Students build on prior experience with statistical ideas
expanding their understanding of statistical analysis.