Extension 1
Preliminary Course  Assessment Schedule  Mathematics Extension 1
Task  Time  Components (Type of Task)  Outcomes  Weight 
1 
Week 8 Term 1 
Written test and/or investigation 
P1, P2, P3, P4, PE1, PE2 
15 
2 
Week 5 Term 2 
HALF YEARLY EXAM 
P1, P2, P3, P4, P5, PE1, PE2, PE5 
20 
3 
Week 2 Term 3 
Written test and/or research project 
P1, P2, P3, P4, P5, P6, P7, P8, PE1, PE2, PE5 
25 
4 
Week 9 Term 3 
YEARLY EXAM 
P1, P2, P3, P4, P5, P6, P7, P8, PE1, PE2, PE4, PE5, PE6 
40 


 TOTAL  100% 
Note: Extension 1 students will also complete all the Mathematics assessment tasks
Preliminary Course Outcomes  Mathematics Extension 1
A student:
PE1 appreciates the role of mathematics in the solution of practical problems;
PE2 uses multistep deductive reasoning in a variety of contexts;
PE3 solves problems involving permutations and combinations, inequalities, polynomials, circle geometry and parametric representations;
PE4 uses the parametric representation together with differentiation to identify geometric properties of parabolas;
PE5 determines derivatives which require the application of more than one rule of differentiation;
PE6 makes comprehensive use of mathematical language, diagrams and notation for communicating in a wide variety of situations.
P1 demonstrates confidence in using mathematics to obtain realistic solutions to problems;
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.
HSC Course  Assessment Schedule  Mathematics Extension 1
Outcomes which relate to the areas of study  Components  Weightings (Syllabus) %  Task 1  Task 2  Task 3  Task 4 
Date End T4 Yr11  Date End T1 Yr12  Date Mid T2 Yr12  Date Early T3 Yr12  
AT1 Written test
 AT2 Half Yearly 2 hours  AT3 Written test
 AT4 Trial HSC 2 hours  
HE2, HE3, HE4, HE5  Concepts, skills and techniques  50  7.5  15  7.5  20 
HE2, HE3, HE4, HE5, HE6, HE7  Reasoning and communication
 50  7.5  15  7.5  20 
MARKS  100  15  30  15  40  
Outcomes Assessed by Task  P1 P2 P3 P4 PE1 PE2  P1 P2 P3 P4 P5 PE1 PE2 PE5  P1 P2 P3 P4 P5 P6 P7 P8 PE1 PE2 PE5  P1 P2 P3 P4 P5 P6 P7 P8 PE1 PE2 PE4 PE5 PE6 
NOTE: Mathematics Extension 1 students will also attempt all Mathematics course tasks.
HSC Course Outcomes  Mathematics Extension 1
A student:
HE1 appreciates interrelationships between ideas drawn from different areas of mathematics 
HE2 uses inductive reasoning in the construction of proofs 
HE3 uses a variety of strategies to investigate mathematical models of situations involving binomial probability, projectiles, simple harmonic motion, or exponential growth and decay 
HE4 uses the relationship between functions, inverse functions and their derivatives 
HE5 applies the chain rule to problems including those involving velocity and acceleration as functions of displacement 
HE6 determines integrals by reduction to a standard form through a given substitution 
HE7 evaluates mathematical solutions to problems and communicates them in an appropriate form 