Sample Performance Tasks: SOL AII.6 & AII.7 Students determine how many feet of cable are necessary to connect two towers of a suspension bridge. Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Third Standard graphs/equations for a family of functions can be determined a Key Vocabulary •The Quarter A2.6 transformational approach. Exponent The student will recognize the general of of graphs include translations, reflections, and dilations. Asymptote •Transformations function (exponential, and logarithmic) families parent graph is an anchor graph from which other graphs are derived with •A and will convert between graphic and symbolic transformations. DOE Lesson forms of functions. A transformational approach graphs of parent functions. •Recognize to graphing will be employed. a transformation of a parent function, identify the graph of the Textbook Resources •Given transformed function. Pearson 7-1, 7-2, 7-3 A2.7a, b, c, d, e, f, g the equation and using a transformational approach, graph a function. •Given The student will investigate and analyze the graph of a function, identify the parent function. Resources/Lessons •Given functions algebraically and graphically. Key the graph of a function, identify the transformations that map the preimage concepts include domain and range, including to the image in order to determine the equation of the image. limited domains and ranges; x- and y-intercepts; a transformational approach, write the equation of a function given its •Using increasing or decreasing intervals; asymptotes; graph. end behavior; inverse of a function. Graphing calculators will be used as a tool to assist in function can be described on an interval as increasing, decreasing, or constant. •A investigation of functions. may describe both local and global behavior of functions. •Asymptotes behavior describes a function as x approaches positive and negative infinity. •End Prerequisite/Extension SOL (a, b) is an element of a function, then (b, a) is an element of the inverse of the •If 7.12 represent relationships with tables, graphs, function. rules, and words and logarithmic functions are inverses of each •Exponential
Sample Performance Tasks: SOL AII.6 & AII.7 Students determine how many feet of cable are necessary to connect two towers of a suspension bridge. Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Third Quarter Standard A2.6 The student will recognize the general of function (exponential, and logarithmic) families and will convert between graphic and symbolic forms of functions. A transformational approach to graphing will be employed. A2.7a, b, c, d, e, f, g The student will investigate and analyze functions algebraically and graphically. Key concepts include domain and range, including limited domains and ranges; x- and y-intercepts; increasing or decreasing intervals; asymptotes; end behavior; inverse of a function. Graphing calculators will be used as a tool to assist in investigation of functions. Prerequisite/Extension SOL 7.12 represent relationships with tables, graphs, rules, and words •The graphs/equations for a family of functions can be determined a transformational approach. •Transformations of graphs include translations, reflections, and dilations. •A parent graph is an anchor graph from which other graphs are derived with transformations. •Recognize graphs of parent functions. •Given a transformation of a parent function, identify the graph of the transformed function. •Given the equation and using a transformational approach, graph a function. •Given the graph of a function, identify the parent function. the graph of a function, identify the transformations that map the preimage to the image in order to determine the equation of the image. •Using a transformational approach, write the equation of a function given its graph. •A function can be described on an interval as increasing, decreasing, or constant. •Asymptotes may describe both local and global behavior of functions. •End behavior describes a function as x approaches positive and negative infinity. •If (a, b) is an element of a function, then (b, a) is an element of the inverse of the function. •Exponential and logarithmic functions are inverses of each Key Vocabulary Exponent Asymptote DOE Lesson Textbook Resources Pearson 7-1, 7-2, 7-3 Resources/Lessons
2014-2015_algebra2_completed_pacing_guide.docx