Announcement from BOSTES/NESA - 2019 Syllabus Changes for Calculus courses (1 Viewer)

idkkdi

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The easy marks or id and ed or both

I only do 3u math tho
i dont think it would be explicitly a question, but you need it in solving some vector geo q's. easy or not is up for debate depending on the q.
 

CM_Tutor

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Be careful being too sure about some of these ideas.

Angle between two lines and ratio division were both removed but can restructured and asked as MX1 vectors questions. Lots of plane geometry from Advanced can also be changed in vectors questions.

Circle geometry was removed from MX1 but MX2 students still need some of it for some complex numbers questions. I think any MX2 teacher who does not teach the relevant circle geometry and instead tries to solve those questions by purely algebraic means is doing their students a major disservice.

MX1 locus and the parabola was removed as a stand-alone topic but parametric equations for degree 2 polynomials is still in the syllabus, so how much can still be asked in modified questions is unclear. Parametrics is essential to the vectorised projectile motion so finding a locus (without using that name) is still required at times. Since the MX2 conic sections are all degree 2 polynomials, the extent to which those ideas can be used in questions is unclear. Using focus-directrix properties and definitions is definitely out, so much of the old conics topic can be safely ignored.

With SHM now in MX2, there is the possibility of bringing in some forms of circular motion as SHM in two dimensions simultaneously can result in a variety of paths, including a circles.

I advise students to be very careful in declaring that certain things cannot be examined in the HSC. Books of past MX1 HSC papers marked questions on the binomial theorem as non-examinable but the large binomial question at the end of the 2020 MX1 paper proved that wrong. In short, anything in year 11 MX1 can be included in an MX1 HSC so long as it is within a question that addressed MX1 Year 12 work... and an examiner determined to test an aspect of Year 11 work will be able to find a context and link Year 12 work to justify asking a question.
 

tywebb

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tywebb

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Have a close look at the bottom of page 18 in the extension 2

e2-p18.png
Look familiar?

One thing you may have noticed in the 2023 ext 2 hsc Q15b was that the line segments joining midpoints intersected in the same point.
15b.png
Coincidence? Not likely! 😈
 
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tywebb

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At least they are bringing in notation for "and": and "or":

3D vectors in Extension 1 - so extension 1 textbooks will have to have a major update to their vectors chapters.

Much talk about skew lines in ext 2 - BUT still no cross product - hence one of the most basic questions about skew lines, minimum distance between skew lines, is conspicuously absent.

It makes it clear that projectile motion with quadratic drag is NOT in the new syllabus.
 
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notme123

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is there a list of all the changes cuz it seems like only a handful for adv-4u? ill start:


Advanced:
- more detail on the extent of understanding expected of continuity and limits. not necessarily new content.
- 'Graphical transformations' e.g. dilations now moved from Year 12 to Year 11
- Differentiation of trigonometric functions and logarithms now moved from Year 12 to Year 11
- 'Discrete probability distributions' moves from Year 11 to Year 12 in one big topic along with continuous distributions called 'Random Variables'
- Use of cardinality notation for sets e.g. |A|
- Sequences and Series is no longer under 'Financial Mathematics' but is now called 'Recurrence, sequences and series'.
- On top of this, more recurrence relation notation is used. Sigma notation defined.
- more detailed section about the fundamental theorem of calculus and use of reimann sums.
- 'Descriptive Statistics and Bivariate Data Analysis' topic entirely removed.

Extension 1:
- 'further trig identities' moves to Year 12 in same topic area as year 12 trig equations
- pigeonhole principle is missing
- 3d vectors introduced but only in the same scope of depth as 2d vectors e.g. no parametric vector equations
- t-formulae moved to Extension 2
- products to sums moved to Extension 2
- Integration of sin^2 and cos^2 moved to Extension 2
- central limit theorem now explictly stated instead of just a normal approximation

Extension 2:
- explicit mention of squeeze theorem in proofs
1700455205001.png
- explicit mention of Cauchy-schwarz inequality, median, and altitude of triangles in vectors.
- specifically said they cant combine pulleys and resisted motion??
 

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tywebb

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It is not really necessary to use equations of line segments, but in that format we may proceed thusly:











 
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tywebb

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tywebb

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They can’t get enough qualified maths teachers now let alone then if it became compulsory.
 

tywebb

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The Daily Telegraph beat NESA in getting this info out.

So why did it take so long for NESA to respond? In 2019 the government made the announcement of compulsory maths - without consultation. And now the government scrapped it - again without consultation.

Constitutionally, the NSW minister of education is the ultimate arbiter of education decisions in NSW - but her powers are significantly constrained by the Education Act which basically says she acts on advice from NESA and their decisions are to be made via consultation.

The Macquarie Street politicians have to be the most unprofessional hicktown bogans on the planet!
 

tywebb

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I also think that when an education minister makes decisions outside the constraints of the Education Act, this exposes the government to legal challenge. If compulsory hsc maths without consultation went ahead in 2016 any student forced to do maths who didn't want to could have grounds for commencing proceedings against the government - and the government would probably lose.

This may be another reason for the decision today.
 

tywebb

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In the absence of any consultation whatsoever the Daily Telegraph took it upon themselves to run a poll and here were their results so far:

poll.png

Maybe the 20% who voted no are maths teachers and the other 80% who voted yes are everybody else who don't want to teach maths!

They need to run another poll asking of those who voted yes, do they themselves want to teach maths? Then you'd get 100% no!

For example the Australian Mathematical Sciences Institute director disagreed with the decision, and said maths should be compulsory for all Year 12 students. So is he going to quit his job at the Australian Mathematical Sciences Institute and go into a school and teach maths? No!
 
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