<p>HARNETT COUNTY HIGH SCHOOLS</p><p>Course: Algebra II</p><p>Title of Unit: Unit 2 – Quadratic Functions</p><p>Timeframe: 9 – 12 days Content Area Standard(s): </p><p>F.IF.2 F.IF.7* F.IF.7a*</p><p>F.BF.3 A.CED.2* A.SSE.3a*</p><p>A.SSE.3b* F.IF8 F.IF8a</p><p>N.Q.1* A.SSE.1* A.CED.3* F.IF.4*</p><p>Reading Standard(s): 3, 4, 5, 7, and 9</p><p>Writing Standard(s): 1, 4, 5, and 10</p><p>Math Practice(s): 3, 4, 7, and 8 </p><p>Technology Standard(s): HS.TT.1, HS.RP.1, HS.SE.1, HS.SI.1</p><p>Learning Experiences: Activities, lecture, cooperative learning, and discovery (see specific lesson)</p><p>Project Goals and Description of Unit: Students will know the basics of quadratic functions, beginning with the parent function graph (including vertex as a minimum or maximum) and learning to translate and transform this function. They should understand the basic shape of the graph (including end behavior) and why this graph becomes a parabola. Students will also be able to use the graph of a quadratic function to find the solutions (zeros, roots) of the function. </p><p>Essential Questions:</p><p>How does the graph of g(x) = (x − h)2 + k compare with the graph of f(x) = x2?</p><p>How does the graph of g(x) = ax2 differ from the graph of f(x) = x2?</p><p>How can you graph the function f(x) = a(x − h)2 + k?</p><p>How do you convert quadratic functions to vertex form f(x) = a(x − h)2 + k?</p><p>How do you determine where the graph of a quadratic function crosses the x-axis?</p><p>How can you model changes in revenue from season-ticket sales using a quadratic function?</p><p>Vocabulary: axis of symmetry, intercept form (of a quadratic function), maximum, minimum, parabola, parent quadratic function, quadratic function, standard form (of a quadratic function), vertex, vertex form (of a quadratic function), zero of a function</p><p>Instructional Resources (print materials, technology): On Core Mathematics (Houghton Mifflin Harcourt,) Graphing Calculator</p><p>Wile E. Coyote activity (see attachment)</p><p>Quadratic Application problem (see attachment) http://www.quia.com/cb/24731.html (Jeopardy Game)</p><p> http://library.thinkquest.org/29292/quadratic/index.html (Visual Explanation of Factoring Quadratics) http://www.dlt.ncssm.edu/algebra/HTML/09.htm (Application/Discussion Problem) http://www.dlt.ncssm.edu/algebra/HTML/10.htm (Application/Discussion Problem) http://www.sascurriculumpathways.com/portal/#/search? searchString=quadratics&searchSubject=2&searchCategory=11 QL#1445 (Discovery Activity with Graphs of Quadratic Functions) http://www.sascurriculumpathways.com/portal/#/search? searchString=quadratics&searchSubject=2&searchCategory=11 QL#1291 (Video)</p><p>Facilitator’s Role: lecture, guided instruction, assign cooperative group job responsibilities, monitor student progress, and facilitate learning</p><p>Assessment: Will vary based on teacher</p><p>Notes and Additional Information:</p>