Trial HSC Assessment Task Notification HSC Assessment Task Four 2011 Course: Mathematics 2U Date of Task: See Trial Examination Timetable Venue:
See Trial Examination Timetable Task
Topics: Preliminary Course: Algebra & arithmetic
Linear functions & lines
Functions & their geometrical applications
Tangents & the derivative
Geometry
Trigonometry
Quadratic polynomial & the parabola
Task
4
Weighting Timing Total Marks
40% 3 hours + 5 minutes reading time 120
HSC Course: Co-ordinate methods in geometry
Applications of geometrical properties
Sequences and series and their applications
Geometrical applications of the derivative
Integration
Logarithmic and exponential functions
Trigonometric functions including applications of trigonometric ratios
Applications of calculus to the physical world
Component: Knowledge, understanding and skills: Reasoning interpretative explanatory & communication skills:
32 out of 40% 8 out of 40%
For illness/misadventure please phone the college by 8:30am and obtain documented evidence. For in class assessment tasks ensure all equipment is in a plastic sleeve. All other personal items should be left at the front of the room. Paper will be provided for all Mathematics assessment tasks. Students must use student numbers for all tasks.
Outcomes: The student: P2 provides reasoning to support conclusions which are appropriate to the context P3 performs routine arithmetic and algebraic manipulation involving surds, simple rational expressions and trigonometric identities P4 chooses and applies appropriate arithmetic, algebraic, graphical, trigonometric and geometric techniques P5 understands the concept of a function and the relationship between a function and its graph P6 relates the derivative of a function to the slope of its graph P7 determines the derivative of a function through routine application of the rules of differentiation P8 understands and uses the language and notation of calculus H2 H3 H4 H5 H6 H7 H8 H9
constructs arguments to prove and justify results manipulates algebraic expressions involving logarithmic and exponential functions expresses practical problems in mathematical terms based on simple given models applies appropriate techniques from the study of calculus, geometry, trigonometry and series to solve problems uses the derivative to determine the features of the graph of a function uses the features of a graph to deduce information about the derivative uses techniques of integration to calculate areas and volumes communicates using mathematical language, notation, diagrams and graphs
Task Description Written Examination Standard integral sheet provided Board approved scientific calculators allowed Marking Criteria: You will be assessed on your ability to:
Demonstrate knowledge & understanding in the above topics Synthesise knowledge & understanding in the above topics to solve unfamiliar mathematical problems Use known/ given mathematical facts to deduce mathematical relationships / identities Justify answers using appropriate mathematical language, notation and symbols Perform mathematical processes with accuracy
For illness/misadventure please phone the college by 8:30am and obtain documented evidence. For in class assessment tasks ensure all equipment is in a plastic sleeve. All other personal items should be left at the front of the room. Paper will be provided for all Mathematics assessment tasks. Students must use student numbers for all tasks.