2.+Unit+Plan+Overview

=Analytical Geometry Unit Plan= 9th Grade

Summary of the Unit:
 * Students will learn the equations and definitions of parabolas, circles, ellipses, and hyperbolas.
 * Students will create a bridge based off of either a parabola or elliptical equation.
 * Students will demonstrate their knowledge of equations by graphing them on graphing calculators.
 * Students will summarize how to graph a geometric shape given an equation.
 * Students will construct hands on manipulatives to diagram the four different shapes.

PDE Objectives:
 * 2.8.11.E: Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas).
 * 2.9.11.G: Solve problems using analytical geometry.
 * 2.9.11.I: Model situations geometrically to formulate and solve problems

Enduring Understandings for the unit: // Essential Questions for the unit: //
 * Students will be able to understand why we use circles, ellipses, hyperbolas, and parabolas in the real world and why these shapes need to learned not only in a math classroom but also across different academic areas (i.e. science, social studies, English).
 * Students will be able to understand when do you each shape individually based on the situation (i.e. constructing a bridge)
 * Is a parabola or an ellipse shape more beneficial when constructing a bridge? Explain.
 * How is an ellipse different than a circle?
 * How can you identify a shape when only given an equation?
 * Why is it important to know the difference between the four different geometric shapes in this unit?