Chapter 9 covers the study of conic sections, relations that are usually not functions. This means more work to graph the relations with your calculator and more solutions when we get to word problems. Be ready! Conic sections are circles, ellipses, hyperbolas and parabolas. Circles are a special case of ellipses so they will be done altogether. Every case has an algebraic and a geometric definition. We will study both. (There are more ways of expressing conic sections - polar and parametric definitions - but we won't be getting to those this year.) We will spend two days on hyperbolas, a day focusing on the algebraic and a day focusing on the geometric definitions. We won't get all of the vocabulary the first day so some of the homework needs to be revisited the second night. The geometric definition of parabolas will show us some important features of this quadratic relation that were hidden before. Given that we spent a great deal of time with the algebraic definition of parabolas in a previous unit, the single night of parabola homework focuses on the similarities with the other conic sections.
4/23 Intro to Conic Sections
HW finish handout
4/24 Circles and Ellipses (algebraic definition of ellipses)
HW p.583-585/10-55 by 5's, 71, 73, 76, 77-81 odd, 95
4/25 Ellipses (geometric definitions)
HW p.592-3/23,25,35-45 odd, 51-57 odd, 60, 62-64
4/26 Hyperbolas (algebraic definition)
HW p.601-603/9-48 by 3's (ignore foci), 65
4/30 Hyperbolas (geometric definition)
HW p.601-603/find foci for 9-48 by 3's, do 28, 29, 31, 35, 38, 49
5/01 Parabolas
HW p.576-578/9-17 odd, 31, 33, 36, 42, 45, 49, 50, 53, 68
5/02 Non-linear Systems
HW finish worksheet
5/03 Combined Conic Practice
HW finish worksheet
5/07 Review
5/08 Ch 9 Test of Conic Sections
