Attached is a unit outline with suggested activities for a quadratics unit. It begins with real world data modeling the volume of soda in a can with respect to temperature, maximizing the area of a dog yard, and projectile motion. From there, we graphically find the maximum of a given parabola, and the zeros (how long it takes objects to hit the ground in projectile motion). It then moves on to factoring - finding zeros algebracially. It finishes by solving quadratic equations by using square roots, completing the square, and the quadratic formula. Solving by graphing is used throughout to verify answers.
A unit outline and note-taking guides for students can be downloaded from the attached zip file. Downloadable activities for the ti-nspire are also suggested.
Jeff deVarona, Meg Bartlett, and Andrea Hauck