S1+Barnes+Mckell

=Stage 1 Identify Desired Results= Equations and Inequalities Grades 9-Diploma 2 students solve families of equations and inequalities** //b. solve quadratic equations graphically by factoring in cases where factoring is efficient, and by applying the quadratic formula.// ||
 * **Establish Goals:** **(G)** ||
 * **Maine Learning Results: Mathematics- D. Algebra

//What understandings are desired?//
• conic sections consist of circles, ellipses, parabolas and hyperbolas. • graphing equations are essential in finding zero's and y-intercepts. ||
 * //Students will understand that:// **(U)** ||
 * • the quadratic formula helps you find the value of x.

//What essential questions will be considered?//
• How can you identify the equation of each conic section? • How can graphs help you find zero's and y-intercepts? ||
 * **Essential Questions:** **(Q)** ||
 * • How does the quadratic formula help you find x?

//What key knowledge and skills will students acquire as a result of this unit?//
• Relationships: between circles, ellipses, parabolas and hyperbolas. • Define: the zero's and y-intercepts of particular equations. || • demonstrate the use of the quadratic formula. • evaluate the graph of an equation and give the zero's and y-intercept. • b. solve quadratic equations graphically by factoring in cases where factoring is efficient and by applying the quadratic formula. • compare the graph of an ellipse as well as the graph of a parabola, hyperbola and circle. • be aware of the difference between the equations of an ellipse, a parabola, a circle and hyperbola. • recognize the importance of graphing functions. ||
 * //Students will know:// **(K)** || //Students will be able to:// **(S)** ||
 * • Formulas: the use of the quadratic formula.

//**2004 ASCD and** **Grant Wiggins and JayMcTighe**//