function notation in terms of a context. F-IF Journal Prompt(s): 4. For a function that models a Interpret functions that arise in applications in Provide an example of a real-world situation relationship between two quantities, 9-2: Concept Byte Collecting Quadratic terms of the context that is best represented by a nonlinear interpret key features of graphs and Data function. tables in terms of the quantities, and sketch graphs showing key features Describe the features that are common to the given a verbal description of the graphs of all quadratic functions. relationship. Key features include: intercepts; intervals where the function Explain how to approximate the roots of a is increasing, decreasing, positive, or quadratic equation when the roots are not negative; relative maximums and integers. minimums; symmetries; end behavior; and periodicity.★ Utilize Tasks to include the Standards for 5. Relate the domain of a function to its Mathematical Practice where students graph and, where applicable, to the have to reason, justify, explain, construct quantitative relationship it describes. & model their thinking. 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.★ F-IF Analyze functions using different representations 7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★ a. Graph linear and quadratic functions and show intercepts, maxima, and minima. b. Graph square root, cube root, and piecewise-defined functions, including
F-IF Interpret functions that arise in applications in terms of the context F-IF Analyze functions using different representations function notation in terms of a context. 4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★ 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.★ 7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★ a. Graph linear and quadratic functions and show intercepts, maxima, and minima. b. Graph square root, cube root, and piecewise-defined functions, including 9-2: Concept Byte Collecting Quadratic Data Journal Prompt(s): Provide an example of a real-world situation that is best represented by a nonlinear function. Describe the features that are common to the graphs of all quadratic functions. Explain how to approximate the roots of a quadratic equation when the roots are not integers. Utilize Tasks to include the Standards for Mathematical Practice where students have to reason, justify, explain, construct & model their thinking.
Algebra_I_Q3_REV_2-8-16_2.docx