# Thread: Announcement from BOSTES/NESA - 2019 Syllabus Changes for Calculus courses

1. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by braintic
Why would it get rid of that type of question? That requires derivation.
Im assuming when they say formula sheets, they will include things like:
Tangent of an ellipse: x_1*x/a^2 + y_1*y/b^2 =1

Which tends to be the buildup of some conics questions. So what's the purpose of re-deriving it when it is on the formula sheet.

2. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by Ekman
Im assuming when they say formula sheets, they will include things like:
Tangent of an ellipse: x_1*x/a^2 + y_1*y/b^2 =1

Which tends to be the buildup of some conics questions. So what's the purpose of re-deriving it when it is on the formula sheet.
And that type of question is asked so often that most students who have done several past papers would have properly memorised how to do it already anyway.

3. ## Re: Announcement from BOSTES - significant change to calculus courses

Can I confirm that this is a formula sheet for mathematics HSC examinations, all the way up to Extension 2? Also, would it be safe to assume a different formula sheet for examinations of different levels (e.g. different formula sheet for Extension 2 and Extension 1)?

4. ## Re: Announcement from BOSTES - significant change to calculus courses

The formula sheet is for 2u, ext1, ext2 exams but content will all be 2u and ext1 no ext2 content.

Still no time to type all my notes up because presentations are still hapenning.

I'll post up more details later.

5. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by tywebb
The formula sheet is for 2u, ext1, ext2 exams but content will all be 2u and ext1 no ext2 content.

Still no time to type all my notes up because presentations are still hapenning.

I'll post up more details later.
Did you attend any of the conferences yourself?

6. ## Re: Announcement from BOSTES - significant change to calculus courses

Curious to know how is this an annual thing for the MANSW? Can see they have been getting a bit of exposure through Twitter (with updates every minute)

7. ## Re: Announcement from BOSTES - significant change to calculus courses

Teachers seeking attention on Twitter (NAP). 7 posts in the last 2 hours from one poster..........

8. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by Speed6
Did you attend any of the conferences yourself?
Yes. I'm at the conference and it is very busy. So I won't be able to post more details till later tonight.

9. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by davidgoes4wce
Curious to know how is this an annual thing for the MANSW?
You don't seriously think that this is the only thing on the program? This was slotted in at the last minute.

Here are the workshops:

1. Moving students from band 5 to band 6
2. Data collection, graphing and algebraic modelling
3. Developmental Mathematics in 2015
4. Pythagorean triples
5. Making Maths Sexy Again
6. Getting through Maths General 2
7. 2015 one year into the new syllabus, what have we learnt?
8. Using games to develop algebra understanding
9. CAS: ten years on
10. The creative, collaborative classroom at HSPA
12. Learning with and from a calculator
13. Introducing Maths Inside - engaging materials to foster interest in maths
14. NSW Syllabus assessment made easy
15. Primes and polygons
16. GeoGebra 101
17. Maths comedy
18. Probability activities that develop understanding
19. Teacher's survival guide to using Wolfram|Alpha
20. Reaction times - analysing univariate data
21. Engaging middle years students with Mathematics
22. Teaching connections between algebra and geometry
23. 21st century learning and financial literacy in the classroom
24. Inspiring ideas for Stage 4 Mathematics
25. Maturing a great batch
26. From additive to multiplicative thinking
27. Cartoons, Cardboard, Calculators and Cheat Sheets
28. A focus on data & graphs (iPad App)
29. Challenging perceptions and becoming mathematicians
30. Taking the lead: promoting Mathematics
31. Set game for instilling mathematical skills
32. Multiplicative thinking and mathematical reasoning – the keys to a STEM future
33. Connect with Maths ~ How to join an online community
34. GeoGebra for secondary and senior secondary mathematics teachers
35. Developing web content - It's easier than you think
36. Real world data in the palm of your hand
37. Spreadsheets in the Mathematics General Course
38. Inquisitive Minds OOTB Workshop
39. MANSW AGM
40. Making it Count Online
41. GeoGebra 201
42. Projects as assessments to bring out the M in STEM
43. When is a beer not a beer? An Interstate ODDyssey
44. Assessing Working Mathematically
45. One Lesson Wonders
46. How much is a magnum? a million? or a multitude?!
47. Is perfect differentiation impossible?
48. STEM in the “healthy” maths classroom
49. Graphing tool kit..... uncorked!
50. Morsels of Proof
51. GeoGebra 301 - 3D GeoGebra
52. A focus question approach to teaching Mathematics
53. Working with high-achieving students
54. Problem Solving: The Magnum Opus of Mathematics
55. Mastery based Adaptive Learning is the future
56. How to inspire students using integrated STEM
57. Engaging Children in the Early Years
58. A Maths Faculty Handbook
59. A focus on number patterns. (iPad App)
60. Components of an HSC assessment
61. Capture the magic of your teaching in a video
62. Learning with a calculator in the senior years
63. Alice - a software project to enrich Maths
64. Cambridge HOTMaths
65. Building 3D understanding - magnanimously!
66. Teaching and assessing with new tools (MERLO)
67. Partitioning in building fraction knowledge and confidence
68. Convergent and Divergent Thinking
69. 3P Learning
70. Inquisitive Minds PPPP Workshop
71. Solutions for blending digital learning into teaching
72. Building pre-service teacher capacity
73. MoneySmart Rookie
74. Practical Assessment
75. CambridgeMATHS GOLD: connecting Stages 3 and 4
76. Learning Number with a calculator
77. Pop culture in Primary Maths
78. These 4 visualisations make fractions easy
79. The textbook reimagined for less than \$2 per student
80. Exploring the circle
81. Scaffolding Numeracy in the Middle Years (SNMY)
82. A flash of IMSITE
83. 2015 A year of transition: learning across stages 3 and 4
84. The Joy of Teaching Mathematics
85. I wish that I had learnt this in year 10
86. Bamboozling - learning through confusion
87. Developing Students’ Algebraic Thinking

10. ## Re: Announcement from BOSTES - significant change to calculus courses

Notes on BOSTES announcement

There were 2 main announcements from BOSTES today at the MANSW conference.

1. There will be a formula sheet in the calculus courses starting with the HSC exams in 2016

2. Consultation will begin soon on new syllabus draft writing briefs

The chief examiner for the HSC calculus courses did not want to call the formula sheet a “formula sheet”. So it will be called a “reference sheet” instead.

Details:

Reference Sheet (M, ME1, ME2)

Purpose:

- designed as memory aid

- provided to make it unnecessary for candidates to memorise a range of formulae from the 2 Unit and ME1 Preliminary and HSC courses

Development Principles:

- formulae from 2 Unit and ME1 Prelim and HSC courses (none from ME2)

- in general, a formula that is a case of, or is readily obtained from another included formula, is not included

- a formula that essentially represents a statement or expression of a fundamental syllabus concept or definition is not included (e.g., the midpoint formula)

- formulae introduced in Stage 5 that are not referred to in the 2 Unit and ME1 Prelim and HSC courses may sometimes be needed in answering an HSC question. Such formulae will be given with the question

- terms within the formulae provided are not defined

- it will be a 4 page booklet - first page is a cover sheet, 2 pages for 2 Unit, 1 page for ME1

- notes on this will be published in the next BOSTES bulletin

- it will start next year (not this year)

- the BOSTES board have not yet decided when the actual reference sheet will be published because they do not want to confuse the 2015 candidature.

Draft Writing Briefs (G1, G2, M, ME1, ME2)

- draft writing briefs have been started to be written

- aiming for syllabus finalisation at end of next year

- consultation period will commence soon including meetings and surveys

- current structure will be preserved except that semesterised courses may commence

- we may have to modify, reorder and supplement the Australian curriculum content

- reduce content in G1 and G2

- G1 may have an optional HSC exam and count towards ATAR

- G1 may have a separate Prelim course

11. ## Re: Announcement from BOSTES - significant change to calculus courses

Thank you heaps tywebb! Really appreciate it

12. ## Re: Announcement from BOSTES - significant change to calculus courses

Well I hope they get their act together and publish the formula sheet before the first assessment task next term.

13. ## Re: Announcement from BOSTES - significant change to calculus courses

The trouble with publishing it straight away is that it may confuse the current cohort into thinking they are going to get it in the 2015 HSC exams - which is not true.

I think it would be safer to wait till after the HSC exams for 2015 are finished before publishing the formula sheet.

But as I said before the BOSTES board have not decided yet when to publish it. So it could come out sooner, but I think it is unlikely.

14. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by braintic
......1. Moving students from band 5 to band 6.........
It was in this presentation where we got another 29 trial papers from 2015. So here they are.:

15. ## Re: Announcement from BOSTES - significant change to calculus courses

Official publication today: http://news.boardofstudies.nsw.edu.a...ions-from-2016 says "The new reference sheet will be published on the BOSTES website in November following the completion of the 2015 HSC."

16. ## Re: Announcement from BOSTES - significant change to calculus courses

Draft Writing Briefs for new senior syllabuses will be online for consultation beginning on October 19, 2015: http://news.boardofstudies.nsw.edu.a...ory-syllabuses

17. ## Re: Announcement from BOSTES - significant change to calculus courses

The draft writing briefs are up now a few days early:

General 1 and 2: http://www.boardofstudies.nsw.edu.au...brief-2015.pdf

2u/ext1/ext2: http://www.boardofstudies.nsw.edu.au...brief-2015.pdf

Here is the proposed content:

General 1 and 2:

Option 1:

- there would be minor revision only of the current Preliminary Mathematics General, HSC Mathematics General 2 and HSC Mathematics General 1 courses

- a greater level of revision would be considered, if required, to align with agreed changes to the Mathematics (‘2 Unit’) course.

Option 2:

- there would be moderate revision of the current Preliminary Mathematics General course (to become Preliminary Mathematics General 2), and the HSC Mathematics General 2 and HSC Mathematics General 1 courses. The new Preliminary Mathematics General 2 and HSC Mathematics General 2 courses will have significant overlap with the Mathematics course to assist student movement and to obtain appropriate course relativity in ATAR scaling. This overlap would include rates of change (without getting to the stage of formally calculating derivatives) and could include aspects of such topic areas as financial mathematics, statistics, probability, algebra and modelling, and trigonometry

- there would be a new Preliminary course (Preliminary Mathematics General 1) that, together with the revised HSC Mathematics General 1 course, will build on student knowledge and skills from Stage 5.1.

- Real numbers and algebraic techniques (surds and indices, algebraic expressions, equations and inequalities, logarithms)

- Real functions and their graphs (simple graphs, function notation, properties of functions and graphs, regions and inequalities, applications involving real functions: direct and inverse variation, constructing and using functions)

- Trigonometry (exact ratios, sine rule, cosine rule, area rule, angles of any magnitude, identities, equations, graphs, trigonometric functions, derivatives of trigonometric functions, applications of the calculus of trigonometric functions)

- Differential calculus (estimating change, the derivative function, differentiation, Euler’s number and natural logarithms, stationary points, the second derivative, curve sketching, maximising and minimising)

- Integral calculus (the primitive function, the definite integral, approximating definite integrals, applications of integration)

- Sequences and series (applications of series to finance: present and future value, annuities)

- Descriptive statistics (univariate and bivariate data, the normal distribution, lines of best fit)

- Probability (systematic counting of events, successive outcomes, tree diagrams, applications involving probability and finance: counting techniques and probability, investment, reducing-balance loans)

- Exponential and logarithmic functions (calculus of exponential and logarithmic functions, applications to the natural environment: rates of change of physical quantities, exponential growth and decay).

Extension 1

- Circle geometry

- Further algebra (general theory of quadratic equations, quadratic and cubic expressions and equations)

- Polynomials (polynomial functions and their graphs, the remainder and factor theorems)

- Transformations of graphs

- Further trigonometry (sums and differences, trigonometry in three dimensions, solution and applications of trigonometric equations, further calculus of trigonometric functions)

- Series, elementary difference equations (limiting sum of a geometric series, methods of solution of first-order linear difference equations)

- Descriptive statistics (discrete random variables, continuous random variables, types of distributions)

- Mathematical induction

- The binomial theorem (binomial expansions and identities, binomial probabilities)

- Methods and applications of integration (including substitution, solids of revolution)

- Inverse functions (including inverse trigonometric functions)

- Further applications of calculus involving mathematical modelling (including further exponential growth and decay, related rates, projectile motion, iterative methods for estimating roots of equations).

Extension 2

- The nature of proof (including proofs involving inequalities)

- Complex numbers and polynomials over the complex field (arithmetic of complex numbers, geometric representation, powers and roots, curves and regions, fundamental theorem of algebra and factorising polynomials)

- Graphs (graphing techniques, general approach to curve sketching)

- Integration techniques (including integration by parts, recurrence relations)

- Volumes (by slicing, by the method of cylindrical shells)

- Modelling with functions and derivatives (solving differential equations by integration, first-order linear differential equations)

- Mechanics (simple harmonic motion, Newton’s laws, resisted motion along a horizontal line, resisted motion under gravity)

- Difference equations (solving second-order difference equations, the logistic growth equation, equilibrium, periodic and chaotic solutions)

- Statisical inference (sample means, confidence intervals for means).

18. ## Re: Announcement from BOSTES - significant change to calculus courses

Statistics in 2u???!?

19. ## Re: Announcement from BOSTES - significant change to calculus courses

Yes. And in ext. 1 and 2.

20. ## Re: Announcement from BOSTES - significant change to calculus courses

We were told at the conference it should be finalised by the end of next year. The final syllabus should be in schools at least 1 year before implementation. That means it should start with year 11 in 2018 and first examined in 2019. But if they try to rush it through it could start in 2017 and be first examined in 2018. No timeline has been published.

21. ## Re: Announcement from BOSTES - significant change to calculus courses

Just to confirm, are the new 'reference sheets' being implemented for the 2016 HSC?

22. ## Re: Announcement from BOSTES - significant change to calculus courses

Originally Posted by Speed6
Just to confirm, are the new 'reference sheets' being implemented for the 2016 HSC?
Yes. That's right.

I should point out that draft writing briefs have been written for some other subjects as well - English, Biology, Chemistry, Physics, Earth and Environmental Science, Senior Science, History which are available here: http://www.boardofstudies.nsw.edu.au...ng-briefs.html

23. ## Re: Announcement from BOSTES - significant change to calculus courses

No more conics? Wow.

24. ## Re: Announcement from BOSTES - significant change to calculus courses

So they want Combinatorics in 2U?
And no locus or parameters anywhere.

25. ## Re: Announcement from BOSTES - significant change to calculus courses

No vectors or matrices either. That's disappointing.

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