S1+Dube,+Brittany

=Stage 1 - Identify Desired Results= Equations and Inequalities Grades 9 - Diploma 2 Students //solve// families of equations and inequalities** a. //Solve// systems of linear equations and inequalities in two unknowns and interpret their graphs. ||
 * **Establish Goals (MLR):** **(G)** ||
 * **Maine Learning Results: Mathematics - D. Algebra

//What understandings are desired?//
• Inequalities can be useful in problem solving. • Factoring is useful when working with linear equations. ||
 * **//Students will understand that://** **(U)** ||
 * • Linear equations can be used to solve problems.

//What essential questions will be considered?//
• How can inequalities be translated? • Why do we use the quadratic formula to help in factoring? ||
 * **Essential Questions:** **(Q)** ||
 * • How can linear equations be written and interpreted?

//What key knowledge and skills will students acquire as a result of this unit?//
• Vocabulary - x-intercept, y-intercept, x-axis, y-axis, xy-plane, slope, linear equation, inequality • Critical details - graphing, solving inequalities, solving linear equations, finding slope, plugging in x and y values, quadratic formula, factoring || • Demonstrate the quadratic formula in factoring. • Translate inequalities in a graphic form. • a. Solve systems of linear equations and inequalities in two unknowns and interpret their graphs. • Compare inequalities to linear equations (including graphs). • Consider using the quadratic formula when factoring problems. • Recognize linear equations. ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * • Formulas - y-intercept form, quadratic formula, point slope


 * 2004 ASCD and Grant Wiggins and Jay McTighe.**