**PENNANT FEVER** Students use combinatorics to develop the binomial distribution and find the probability that the team leading in the pennant race will ultimately win the pennant.

**ORCHARD HIDEOUT** Students study circles and coordinate geometry to determine how long it will take before the trees in a circular orchard grow so large that someone standing at the center of the orchard cannot see out.

**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 from IMP Years 1 and 2, expanding their understanding of statistical analysis.