SUGGESTED RUBRIC ADVANCED MATH II S05 Student Name: __________________________ Date: _______________________ To receive a ‘B’, the student must show ‘B’ level mastery on all essential outcomes (TSWs). The teacher’s discretion on the student’s holistic performance on the unit, including such items as: the above ‘A’ level rubric, the unit project, group work and class discussions will determine ‘A’ level mastery. TSW 1. TSW graph and determine critical values (including: minimum, maximum, asymptote, intercepts, etc.), domain and range for all functions studied: linear, exponential, logarithmic, quadratic, piecewise, polynomial, rational and trigonometric. 2. TSW will recognize base functions studied and transformations (shift, stretch, reflection, etc.) of those functions including such functions as: linear, exponential, logarithmic, quadratic, piecewise, polynomial, rational and trigonometric. 3. TSW solve equations algebraically and graphically for all functions studied: linear, exponential, logarithmic, quadratic, piecewise, rational and trigonometric. 4. TSW determine if an inverse function exists, and if it does, find the inverse of any function studied including: linear, exponential, logarithmic, quadratic, piecewise, polynomial, rational and trigonometric. QSI ADV MATHEMATICS II S05 RUBRIC Copyright © 1988-2013 ‘A’* LEVEL TSW justify their work with a rationale of the steps taken to arrive at the final graph. ‘B’ LEVEL TSW graph and determine critical values (including: minimum, maximum, asymptote, intercepts, etc.), domain and range for all functions studied: linear, exponential, logarithmic, quadratic, piecewise, polynomial, rational and trigonometric. TSW will recognize base functions studied and transformations (shift, stretch, reflection, etc.) of those functions including such functions as: linear, exponential, logarithmic, quadratic, piecewise, polynomial, rational and trigonometric. TSW be able to compare and contrast the two methods of solving and critique common mistakes made in each method. (A common mistake in graphing on the GDC is not having an appropriate window. A common mistake in solving algebraically is dividing out a term instead of factoring out a term.) TSW solve equations algebraically and graphically for all functions studied: linear, exponential, logarithmic, quadratic, piecewise, rational and trigonometric. TSW determine if an inverse function exists, and if it does, find the inverse of any function studied including: linear, exponential, logarithmic, quadratic, piecewise, polynomial, rational and trigonometric. Comments 5. TSW find all real and complex zeros of a polynomial. TSW be able to deduce and justify their reasoning of how many real and complex zeros exist and use this rationale to support their solution. 6. TSW perform operations with complex numbers and graph complex numbers on a complex plane. TSW find all real and complex zeros of a polynomial. TSW perform operations with complex numbers and graph complex numbers on a complex plane. 7. TSW evaluate any trigonometric function or inverse trigonometric function of special angles and multiples of special angles. 8. TSW use the Law and Sines and the Law of Cosines to solve applied trigonometric problems. 9. TSW use trigonometric identities to simplify expressions. TSW be able to use relationships between special angles and multiples of special angles to deduce and justify trigonometric identities. TSW evaluate any trigonometric function or inverse trigonometric function of special angles and multiples of special angles. TSW articulately justify why the Law of Sines can have one, two or no solutions. TSW use the Law and Sines and the Law of Cosines to solve applied trigonometric problems. TSW use trigonometric identities to simplify expressions that require four or more steps. TSW use trigonometric identities to simplify expressions that require three or fewer steps. 10. TSW use summation notation to write finite arithmetic and finite and infinite geometric series and evaluate the series. TSW derive the formula for infinite geometric series from the formula from finite geometric series. TSW use summation notation to write finite arithmetic and finite and infinite geometric series and evaluate the series. TSW find a particular term of a binomial expansion without expanding the entire binomial and justify their solution. TSW expand a polynomial using the binomial theorem 11. TSW expand a polynomial using the binomial theorem QSI ADV MATHEMATICS II S05 RUBRIC Copyright © 1988-2013