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 multi-step 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