Evidence of Student Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Attainment/Assessment Students: Students know: Students understand/are able to: EEF-IF.7. N/A (See EEF-IF.1-3) Given a symbolic representation of a function (including linear, quadratic, square root, cube Techniques for graphing, Identify the type of function from the root, piecewise-defined functions, polynomial, symbolic representation, exponential, logarithmic, trigonometric, and Key features of graphs of (+) rational), functions. Manipulate expressions to reveal important features for identification in Produce an accurate graph (by hand in simple the function, cases and by technology in more complicated cases) and justify that the graph is an alternate representation of the symbolic function, Accurately any relationship. Identify key features of the graph and connect Key features are different depending these graphical features to the symbolic on the function, function, specifically for special functions: Identifying key features of functions quadratic or linear (intercepts, maxima, and aid in graphing and interpreting the minima), function. square root, cube root, and piecewise-defined functions, including step functions and absolute value functions (descriptive features such as the values that are in the range of the function and those that are not), polynomial (zeros when suitable factorizations are available, end behavior), (+) rational (zeros and asymptotes when suitable factorizations are available, end behavior), exponential and logarithmic (intercepts and end behavior), trigonometric functions (period, midline, and amplitude).
Evidence of Student Attainment/Assessment Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Students: Given a symbolic representation of a function (including linear, quadratic, square root, cube root, piecewise-defined functions, polynomial, exponential, logarithmic, trigonometric, and (+) rational), Produce an accurate graph (by hand in simple cases and by technology in more complicated cases) and justify that the graph is an alternate representation of the symbolic function, Identify key features of the graph and connect these graphical features to the symbolic function, specifically for special functions: quadratic or linear (intercepts, maxima, and minima), square root, cube root, and piecewise-defined functions, including step functions and absolute value functions (descriptive features such as the values that are in the range of the function and those that are not), polynomial (zeros when suitable factorizations are available, end behavior), (+) rational (zeros and asymptotes when suitable factorizations are available, end behavior), exponential and logarithmic (intercepts and end behavior), trigonometric functions (period, midline, and amplitude). Students know: Techniques for graphing, Key features of graphs of functions. Students understand/are able to: Identify the type of function from the symbolic representation, Manipulate expressions to reveal important features for identification in the function, Accurately any relationship. Key features are different depending on the function, Identifying key features of functions aid in graphing and interpreting the function. EEF-IF.7. N/A (See EEF-IF.1-3)
Algebra-1-Pacing-Guide-Version-3.docx