the draft curriculum

1
Australian Curriculum Mathematics 11-12

• the draft curriculum

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Courses

• NSW
• General
• Mathematics
• Mathematics Extension 1
• Mathematics Extension 2

• Draft Australian
• Essential
• General
• Mathematical Methods
• Specialist Mathematics

3
Organisation of the curriculum
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Structure

• Each course contains units of 50-60 hours
  duration with 4 units studied over a 2 year
  period.
• Units 1 and 2 are designed to follow on from
  learning in Year 10.
• Units 3 and 4 are designed to be more challenging
  and assume prior knowledge of learning contained
  in Units 1 and 2.
• Achievement standards for each course for each
  year of schooling will be developed and put out
  for consultation in 2011.

5
Structure and delivery

• It may be possible to move from General
  Mathematics (Course B) to Essential Mathematics
  (Course A) after Units 1 2 (i.e. Semester 1).
• General Mathematics (Course B) can be studied in
  conjunction with Mathematical Methods (Course C)
  (i.e. Equal to 4 units of mathematics as two
  subjects).
• Specialist Mathematics (Course D) is to be
  studied in conjunction with Mathematical Methods
  (Course C).

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Essential Mathematics (Course A)

• Designed to provide students with the skills and
  understanding to solve problems and undertake
  investigations in a range of workplace, personal,
  training and community settings.
• Organised around the areas of Measurement,
  Finance, Statistics, Algebra, Probability, Time,
  distance, speed and direction, and Design (scale
  drawings), and 3 investigations.

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General Mathematics (Course B)

• Designed for further studies in agriculture,
  health and social sciences, business and
  education.
• Organised around the areas of Rates and ratios,
  Matrices, Measurement and geometry, Graphs and
  networks, Data analysis, Linear modelling and
  linear programming, Growth and decay with
  sequences, Time series analysis and Financial
  modelling.

8
Mathematical Methods (Course C)

• Designed for further university studies, possibly
  in mathematics, economics or the sciences.
• Organised around the areas of Algebra,
  Exponential functions and graphs, Calculus,
  Trigonometric functions, Random variables,
  Statistical Inference, and solving systems of
  linear equations by using matrices.

9
Specialist Mathematics (Course D)

• Designed for further studies in mathematics,
  physical science or engineering at university.
• Organised around the areas of Mathematical proof,
  Complex numbers, Matrices, Graph theory,
  Parametric equations, Trigonometric functions,
  Kinematics, Mathematical Induction, Vectors in
  3D, Further graphs, Further integration and
  differential equations plus one option topic.
• Options Statistical inference, Vectors and
  dynamics, or Further calculus techniques and
  inequalities.

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Key questions for evaluating the 11-12 curriculum
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Further questions for evaluating the curriculum

• How do the 4 courses meet the needs of our
  students in terms of course structure?
• What are the implications of students taking
  effectively 4 units of mathematics from Year 11
  and no option of 3 units of mathematics?
• Is the balance of calculus between the courses
  sensible?

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Further questions for evaluating the curriculum

• Consider the role of technology within the
  courses.
• For example, is the described use of technology
  helpful with the topic of matrices in General
  Mathematics (Course B) or should students only
  use calculators to multiply matrices rather than
  by calculating by hand?
• What technology should be used in assessments?

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Further questions for evaluating the curriculum

• Is the level of detail sufficient to determine
  the amount of time spent on applications.
• For example, how long would it take to teach
  modelling simple economies using matrices in
  Course C or to teach reading cadastral maps in
  Course A?

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More questions

• Although Units 3 and 4 assume prior knowledge of
  Units 1 and 2, Specialist Mathematics (Course D)
  states that consideration has been given to
  students who have studied Units 1 and 2 of
  Mathematical Methods (Course C) entering
  Specialist Mathematics (Course D) at Unit 3. Is
  this viable?
• ...

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Consultation Mathematics 11-12

• Online forum for government schools
• You can register for the forum at
  http//currk12.janison.com/curriculum/register/reg
  ister.htm and provide comments on any or all of
  the draft Australian Mathematics courses.
• If you have any problems with registering please
  contact Chris Dorbis via email or telephone 9886
  7496.

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Consultation Mathematics 11-12

• If you have been issued a password, please click
  on the following link to enter the forum.
• To enter the forumhttp//currk12.janison.com/tool
  box/desktop/logon.asp
• ACARA consultation
• To register to provide your feedback directly
  to ACARA, go to http//www.australiancurriculum.ed
  u.au/Home then enter the consultation portal,
  Explore 11-12, Mathematics.

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Consultation Mathematics 11-12

• If all else fails ...
• If you encounter difficulties accessing the
  various avenues for consultation, simply email
  your comments to Peter.Gould_at_det.nsw.edu.au or
  Carolyn.McGinty_at_det.nsw.edu.au or fax to (02)
  98867424.