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Accelerated Analytic Geometry Week of 1/26/15 Dates Standard 1/26/15 Monday MCC9-12.A.SSE.3a Factor a quadratic expression to reveal the zeros of the function it defines.★ MCC9‐12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ MCC9‐12.F.IF.8a 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. 1/27/15 Tuesday 1/28/15 Wednesday MCC9-12.A.SSE.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.★ MCC9-12.A.SSE.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.★ MCC9‐12.F.IF.8a 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. MCC9‐12.F.IF.8a 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. MCC9-12.A.REI.4a 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 this 1/29/15 Thursday MCC9-12.A.SSE.3a Factor a quadratic expression to reveal the zeros of the function it defines.★ MCC9-12.F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima.★ 1/30/15 Friday MCC9-12.A.REI.4 Solve quadratic equations in one variable. MCC9-12.A.REI.4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. Accelerated Analytic Geometry Week of 1/26/15 form. Essential Question/ Key Question How do I find the zeros, vertex, and yintercepts of a quadratic function? How do I use the process of completing the square to find the zeros of a quadratic function? How do I work with quadratics in vertex form and in standard form? Time Lesson Opener How do I use the quadratic formula? 5-10 minutes of review questions for quiz How do I use the process of completing the square to find the zeros of a quadratic function? How do I find the zeros of a quadratic function using the quadratic function? What do the zeros of a function look like, and what determines what type of solutions they will be? Warm-up: Find roots using quadratic function. Plot graph. Writing question: When will a quadratic have complex solutions? When will a quadratic have two solutions? When will a quadratic have exactly one solution? How can I derive the quadratic function? Try to find the zeros of f(x) = x^2 + 8x – 5. Go over 2nd homework problem from last night Accelerated Analytic Geometry Week of 1/26/15 Procedures/Strategies Quiz – 2nd quiz in quadratics unit Time Start completing the square- what happens when we can’t use our “ac” factoring method? Completing the square – do an example using a not equal to 1. Use algebra tiles on Ipads Prove the quadratic formula by completing the square Notes and practice Time Time Lesson Summary Assessment/ Evaluation Materials Needed Worksheet matching equations in different forms to graphs (finish for homework) Quiz grade Summarize algebra tiles with an example NOT using tiles to prep for homwork After deriving, solidify what the quadratic function is. Do one example. HW grade – 2 completing the square practice problems. HW grade – 2 quadratic function practice problems. Quizzes Ipads – notes and algebra Smartboard tiles presentation (http://illuminations.nctm. org/Activity.aspx?id=3482) Ipads/notes Worksheets Quadratic function Imaginary Roots HW – 5 problems mixed factoring reg, quadratic function real, qf imaginary and label type of solutions. What do real solutions look like on a graph? What do imaginary solutions look like on a graph? HW grade – 5 problems mixed factoring reg, quadratic function real, qf imaginary and label type of solutions. Smartboard presentation Ipads/notes Define discriminant. Go over opener – notes. A few problems – what type of solutions will there be. Solving Quadratics practice What are the different ways we have of solving a quadratic? HW grade – 2 problems determining number and type of solutions, 4 mix of solving problems. Smartboard presentation Ipads/notes