Mathematics

  Outcomes, Assessment Schedule, Task 1, Task 2, Task 3, Task 4, 

HSC Assessment                                              Mathematics                               

Objectives

Students will develop:

HSC Outcomes

A student:

1. an appreciation of the scope, usefulness, beauty and elegance of mathematics;

H1 seeks to apply mathematical techniques to problems in a wide range of practical contexts

2. the ability to reason in a broad range of mathematical contexts;

H2 constructs arguments to prove and justify results.

3. skills in applying mathematical techniques to the solution of practical problems;

 

H3 manipulates algebraic expressions involving logarithmic and exponential functions;

H4 expresses practical problems in mathematical terms based on simple models;

H5 applies appropriate techniques from the study of calculus, geometry, probability, trigonometry and series to solve problems.

4.  understanding of the key concepts of calculus and the ability to differentiate and integrate a range of functions;

 

H6 uses the derivative to determine the features of the graph of a function;

H7 uses the features of a graph to deduce information about the derivative;

H8 uses techniques of integration to calculate areas and volumes.

5. the ability to interpret and communicate mathematics in a variety of forms.

H9 communicates using mathematical language, notation, diagrams and graphs.

 

 

Mathematics schedule

  Outcomes, Assessment Schedule, Task 1, Task 2, Task 3, Task 4, 

 

Syllabus Weightings

 

Task 1

Task 2

Task 3

Task 4

 

Nature of Task

 

 

Half Yearly Exam

 

Trial Exam

Timing of Task

 

 

Term 4

Week 10

Term 1

Week 9 - 10

Term 2

Week 10

Term 3

Week 4 - 5

Knowledge, Skills and Applications to Problem Solving

80

8

16

16

40

Comprehension and Communication Analysis and Reasoning

20

2

4

4

10

Outcomes

 

H1 - H9

Marks

100

10

20

20

50

Task 2

Outcomes, Assessment Schedule, Task 1, Task 2, Task 3, Task 4,  

BARRENJOEY HIGH SCHOOL

Faculty of Mathematics 

                 Mathematics

Higher School Certificate Course

HSC Assessment Task 2

Weighting:  20% of course mark

Date:  Half Yearly Exam Period: Weeks 9/10 - Term 1 

Outcomes that may be assessed

 

The student~

H1  seeks to apply mathematical techniques to problems in a wide range of practical contexts

H2  constructs arguments to prove and justify results

H4  expresses practical problems in mathematical terms based on simple given models

H5  applies appropriate techniques from the study of calculus, geometry, probability,

trigonometry and series to solve problems

H6  uses the derivative to determine the features of the graph of a function

H7  uses the features of a graph to deduce information about the derivative

H8  uses techniques of integration to calculate areas and volume

H9   communicates using mathematical language, notation, diagrams and graphs

TASK: This assessment may include questions from the following topic areas        

1.  Coordinate Methods in Geometry

Reference: Chapter 7 (pages 299-301): Maths in Focus Book 1 -  Margaret Grove

2.  Applications of Geometrical Properties

Reference: Chapter 4: Maths in Focus Book 1 - Margaret Grove

3.   Geometrical Applications of Differentiation

Reference: Chapter 2: Maths in Focus Book 2 - Margaret Grove

4.   Integration 

Reference: Chapter 3: Maths in Focus Book 2 - Margaret Grove

5.   Trigonometric Functions

Reference: Chapter 6: Maths in Focus Book 2 - Margaret Grove

6.  Questions from the Preliminary HSC Course

Reference: Maths in Focus Book 1 - Margaret Grove

Remember:

Assessment tasks are very important.  You should only be absent or fail to submit a task by the due date, if you are sick or there has been an extreme family problem.  You should have a doctor’s certificate for illness and/or a letter, presented to the Principal, from a parent/caregiver for family reasons.  Refer to the relevant section of the Year 12 HSC assessment book for details of your obligations.

You must complete an Illness/Misadventure form (available from Mr Grunseit) for any task that is missed.  Failure to do this will result in a ZERO MARK, and a non-attempt being recorded.

This is your responsibility

Task 4

OUTCOMES, ASSESSMENT SCHEDULE, TASK 1, TASK 2, TASK 3, TASK 4, 

BARRENJOEY HIGH SCHOOL

Faculty of Mathematics

       Mathematics

Higher School Certificate Course

HSC Assessment Task 4

Weighting:  50% of course mark

Date: Trial Exam period, Wks 4 and 5: Term 3

 

Outcomes that may be assessed

 

The student~

H1  seeks to apply mathematical techniques to problems in a wide range of practical contexts

H2  constructs arguments to prove and justify results

H3  manipulates algebraic expressions involving logarithmic and exponential functions

H4  expresses practical problems in mathematical terms based on simple given models

H5  applies appropriate techniques from the study of calculus, geometry, probability and trigonometry to solve problems

H6  uses the derivative to determine the features of the graph of a function

H7  uses the features of a graph to deduce information about the derivative

H8  uses techniques of integration to calculate areas and volumes

H9   communicates using mathematical language, notation, diagrams and graphs

TASK: This assessment may include questions from the following areas

1.            The Preliminary HSC Mathematics Course

2.         The HSC Mathematics Course

References:  Maths in Focus by Margaret Grove – Books 1 and 2

Remember:

Assessment tasks are very important.  You should only be absent or fail to submit a task by the due date, if you are sick or there has been an extreme family problem.  You should have a doctor’s certificate for illness and/or a letter, presented to the Principal, from a parent/caregiver for family reasons.  Refer to the relevant section of the Year 12 HSC assessment book for details of your obligations.

You must complete an Illness/Misadventure form (available from Mr Grunseit) for any task that is missed.  Failure to do this will result in a ZERO MARK, and a non-attempt being recorded.

 

This is your responsibility!

Task 1

Outcomes, Assessment Schedule, Task 1, Task 2, Task 3, Task 4 

BARRENJOEY HIGH SCHOOL

Faculty of Mathematics

                Mathematics

Higher School Certificate Course

HSC Assessment Task 1

Weighting:  10% of course mark

Date:  Week 10 – Term 4

Outcomes that may be assessed

The student~

H1  seeks to apply mathematical techniques to problems in a wide range of practical contexts

H2  constructs arguments to prove and justify results

H4  expresses practical problems in mathematical terms based on simple given models

H5  applies appropriate techniques from the study of calculus, geometry, probability,

trigonometry and series to solve problems

H6  uses the derivative to determine the features of the graph of a function

H7  uses the features of a graph to deduce information about the derivative

H9   communicates using mathematical language, notation, diagrams and graphs

TASK: This assessment may include questions from the following topic areas

1.         Co-ordinate Methods in Geometry

Reference: Chapter 7: Maths in Focus Book 1 - Margaret Grove

2.         Tangents and Normals

Reference: Chapter 8 Maths in Focus Book 1 - Margaret Grove

3.         Locus and the Parabola

Reference: Chapter 10: Maths in Focus Book 1 - Margaret Grove

4.         Geometrical Applications of Calculus

Reference: Chapter 2: Maths in Focus Book 2 - Margaret Grove

Remember:

Assessment tasks are very important.  You should only be absent or fail to submit a task by the due date, if you are sick or there has been an extreme family problem. You should have a doctor’s certificate for illness and/or a letter, presented to the Principal, from a parent/caregiver for family reasons.  Refer to the relevant section of the Year 12 HSC assessment book for details of your obligations.

 

You must complete an Illness/Misadventure form (available from Mr Grunseit) for any task that is missed.  Failure to do this will result in a ZERO MARK, and a non-attempt being recorded.

 

This is your responsibility!

Task 3

OUTCOMES, ASSESSMENT SCHEDULE, TASK 1, TASK 2, TASK 3, TASK 4,  

BARRENJOEY HIGH SCHOOL

Faculty of Mathematics 

          Mathematics

Higher School Certificate Course

HSC Assessment Task 3

Weighting: 20% of course mark

Date: Week 10: Term 4

Outcomes that may be assessed

The student~

H1  seeks to apply mathematical techniques to problems in a wide range of practical contexts

H2  constructs arguments to prove and justify results

H3  manipulates algebraic expressions involving logarithmic and exponential functions

H4  expresses practical problems in mathematical terms based on simple given models

H5  applies appropriate techniques from the study of calculus, geometry, probability,

and trigonometry  to solve problems

H6  uses the derivative to determine the features of the graph of a function

H7  uses the features of a graph to deduce information about the derivative

H8  uses techniques of integration to calculate areas and volumes

H9   communicates using mathematical language, notation, diagrams and graphs

TASK: This assessment may include questions from the following topic areas

1. Differentiation and Integration of Trigonometric Functions

Reference: Chapter 6: Maths in Focus Book 2 - Margaret Grove

2. Exponential and Logarithmic Functions

Reference: Chapter 4: Maths in Focus Book 2 - Margaret Grove

3. Applications of Calculus to the Physical World

Reference: Chapter 7: Maths in Focus Book 2 - Margaret Grove

4. Probability

Reference: Chapter 1: Maths in Focus Book 2 - Margaret Grove

Remember:

Assessment tasks are very important.  You should only be absent or fail to submit a task by the due date, if you are sick or there has been an extreme family problem. You should have a doctor’s certificate for illness and/or a letter, presented to the Principal, from a parent/caregiver for family reasons.  Refer to the relevant section of the Year 12 HSC assessment book for details of your obligations.

You must complete an Illness/Misadventure form (available from Mr Grunseit) for any task that is missed.  Failure to do this will result in a ZERO MARK, and a non-attempt being recorded.

This is your responsibility!

Barrenjoey High School - www.barrenjoey-h.schools.nsw.edu.au