Math Performance Task Grade 9 FINAL. Algebra I. Modelling and Analysing Quadratic Equations. Scientific and technical innovation Exploration: Processes and solutions. Representing patterns through equivalent forms of models helps determine the appropriate

Math Performance Task Grade 9. Algebra I. Modelling and Analysing Quadratic Equations. Scientific and technical innovation Exploration: Processes and solutions. Representing patterns through equivalen t forms of models helps determine the appropriate process that leads to solutions. Goal: Your goal is to create a cost-efficient smart phone that will maximize your company’s profit Role: You are an entrepreneur of a mobile company Audience: Your audience is a group of executives of a mobile company Situation: To convince the executives of a mobile company to create a cost-efficient smart phone 1Product: You will need to create an excel spreadsheet, brochure, or PowerPoint. Standards: CCSS.MATH.CONTENT.HSA.SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. CCSS.MATH.CONTENT.HSA.SSE.B.3.A Factor any quadratic expression to reveal the zeros of the function defined by the expression. CCSS.MATH.CONTENT.HSA.SSE.B.3.B Complete the square in a quadratic expression to reveal the maximum or minimum value of the function defined by the expression. CCSS.MATH.CONTENT.HSA.REI.B.4 Solve quadratic equations in one variable. CCSS.MATH.CONTENT.HSA.REI.B.4.A Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from ax2 + bx + c = 0. CCSS.MATH.CONTENT.HSA.REI.B.4.B Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation (limit to real number solutions). CCSS.MATH.CONTENT.HSF.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. CCSS.MATH.CONTENT.HSF.IF.C.7.A Graph linear and quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context). CCSS.MATH.CONTENT.HSF.IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. 2CCSS.MATH.CONTENT.HSF.IF.C.8.A Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. For example, compare and contrast quadratic functions in standard, vertex, and intercept forms. CCSS.MATH.CONTENT.HSF.IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one function and an algebraic expression for another, say which has the larger maximum.