Harnett County High Schools

HARNETT COUNTY HIGH SCHOOLS

Course: Algebra II

Title of Unit: Unit 2 – Quadratic Functions

Timeframe: 9 – 12 days Content Area Standard(s):

F.IF.2 F.IF.7* F.IF.7a*

F.BF.3 A.CED.2* A.SSE.3a*

A.SSE.3b* F.IF8 F.IF8a

N.Q.1* A.SSE.1* A.CED.3* F.IF.4*

Reading Standard(s): 3, 4, 5, 7, and 9

Writing Standard(s): 1, 4, 5, and 10

Math Practice(s): 3, 4, 7, and 8

Technology Standard(s): HS.TT.1, HS.RP.1, HS.SE.1, HS.SI.1

Learning Experiences: Activities, lecture, cooperative learning, and discovery (see specific lesson)

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.

Essential Questions:

How does the graph of g(x) = (x − h)2 + k compare with the graph of f(x) = x2?

How does the graph of g(x) = ax2 differ from the graph of f(x) = x2?

How can you graph the function f(x) = a(x − h)2 + k?

How do you convert quadratic functions to vertex form f(x) = a(x − h)2 + k?

How do you determine where the graph of a quadratic function crosses the x-axis?

How can you model changes in revenue from season-ticket sales using a quadratic function?

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

Instructional Resources (print materials, technology): On Core Mathematics (Houghton Mifflin Harcourt,) Graphing Calculator

Wile E. Coyote activity (see attachment)

Quadratic Application problem (see attachment) http://www.quia.com/cb/24731.html (Jeopardy Game)

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)

Facilitator’s Role: lecture, guided instruction, assign cooperative group job responsibilities, monitor student progress, and facilitate learning

Assessment: Will vary based on teacher

Notes and Additional Information: