S1+Nieuwkerk+Hannah

=Stage 1 Identify Desired Results= Grades 9-Diploma 2. Students solve families of equalities 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// D. Algebra

//What understandings are desired?//
•quadratic equations can be solved mulitple ways. •linear and quadratic equations look and act differently ||
 * //Students will understand that:// **(U)** ||
 * •linear equations and inequalities can be graphed by using the slope-intercept form.

//What essential questions will be considered?//
•How many ways can a quadratic equation be solved? •Why are linear and quadratic equations different? And what makes them different? ||
 * **Essential Questions:** **(Q)** ||
 * •How can a slope-intercept form of an equation be broken down into parts and graphed on the coordinate plane?

//What key knowledge and skills will students acquire as a result of this unit?//
•Formulas: slope-intercept, standard form, slope of a line, point-slope, quadratic formula. •Critical Details: adding and subtracting positive and negative numbers, multiplying and dividing numbers and well as linear equations and inequalities, graphing, be able to solve for the variable 'x', and knowing your times tables. || •Demonstrate the difference between linear and quadratic equations. •Make sense of a linear equation and graph it on the coordinate plane. •b.Solve quadratic equations graphically, by factoring in cases where factoring is efficient, and by applying the quadratic formula. •Analyze a quadratic equation and determine the best way to solve it. •Relate the similarities of solving linear equations to solving inequalities. •Self-asses and check their work on homework, quizzes, and tests. ||
 * //Students will know:// **(K)** || //Students will be able to:// **(S)** ||
 * •Vocabulary: slope (rise over run), line, y-intercept, the 4 quadrants, coordinate plane, ordered pair, function, vertical line test.

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