Announcement from BOSTES/NESA - 2019 Syllabus Changes for Calculus courses (2 Viewers)

[leehuan]

This is a bit dumb but are areas w.r.t. the y-axis still in the maths advanced syllabus? I can't find it.

(Can find appropriate volumes in ext 1)

 

[fan96]

This is a bit dumb but are areas w.r.t. the y-axis still in the maths advanced syllabus? I can't find it.

(Can find appropriate volumes in ext 1)

C4.2: Areas and the definite integral (page 59).

 

[leehuan]

C4.2: Areas and the definite integral (page 59).

Looks like it says "area under curve" which implied just x-axis to me?

Unless "under" actually includes "to the left of" as well

 

[fan96]

Looks like it says "area under curve" which implied just x-axis to me?

Unless "under" actually includes "to the left of" as well

calculate areas between curves determined by any functions within the scope of this syllabus

wouldn't this count?

 

[leehuan]

wouldn't this count?

I interpreted that as something like

 

[tywebb]

NESA have released some sample exam questions for the new syllabus:

https://educationstandards.nsw.edu....ted-stage-6-mathematics-examination-materials

 

[BLIT2014]

NESA have released some sample exam questions for the new syllabus:

https://educationstandards.nsw.edu....ted-stage-6-mathematics-examination-materials

Exciting.

 

[HeroWise]

Bernoulli Distribution for 3u LOL, I WANT TO DO ITTTT. BUT am in accelrated LOLllll


Will probably leach of the new 3us LOL

 

[Trebla]

Finally!

 

[leehuan]

Does anyone know if the year 11 content is also examinable for the new calculus syllabuses?

 

[tywebb]

Does anyone know if the year 11 content is also examinable for the new calculus syllabuses?

Yes it is.

To quote for example from

http://educationstandards.nsw.edu.a...ew-assessment-reporting.pdf?MOD=AJPERES&CVID=


for the 2 unit exam on page 10,

“The examination will be based on the Mathematics Advanced Year 12 course and will focus on the course objectives and Year 12 outcomes. The Mathematics Advanced Year 11 course will be assumed knowledge for this examination and may be examined.’’

A similar thing applies to Extension 1 too.

 

[Jojofelyx]

So which topics do I skip when I'm doing past papers before 2019?

 

[Qeru]

So which topics do I skip when I'm doing past papers before 2019?

Circle geo, angle between lines, ratio division of a line (idk the proper name)for 3U

Conics,volumes, for 4U

 

[Qeru]

Add to that parametric parabola (locus etc) for 3u
polynomials for 4u iirc?
graphs got moved from 4u to 3u

Ah right forgot abt locus of parabola. Poly is still a thing for 4u I think, just indirectly.

 

[Qeru]

I never did the old syllabus but from memory, for:

2u: skip geometry, parametric representation of a parabola and features like directrix and focus, a few calculus techniques like Simpson's rule, coordinate geometry (although I think it's assumed knowledge).

3u: skip geometry (including circle geo), things on parabolas like directrix and focus, angles between two lines, newton's method of approximation, simple harmonic motion (moved only to 4u), general solution of trig equations, sums of trig identities to products.

4u: again skip, geometry, all of conics (cross-sections of cones), graphing techniques (moved to yr11 3u although do them as really good practice), implicit differentiation, a few questions on subsets of the complex plane that involve sketching ellipses but I think they are still in the syllabus so just use knowledge of 2u dilations to do those, evaluating volumes using cylindrical shells, volumes of rotation (moved to yr11 3u although do them as really good practice), Newton's laws of motion (except for F=ma), circular motion questions (all of it moved to Mod 5 Physics new syllabus)

I may have missed a few things or mistakenly added something still in the syllabus
Edit: I was a bit slow sorry lol

Nice that covers everything, except sum to product ironically wasn't part of the old syllabus but is part of the new syllabus.

 

[Directrix]

Circle geo, angle between lines, ratio division of a line (idk the proper name)for 3U

Conics,volumes, for 4U

Internal and External Division is gone?

Aw used to be easy marks

 

[idkkdi]

Internal and External Division is gone?

Aw used to be easy marks

its in 4u vectors.

 

[Directrix]

its in 4u vectors.

The easy marks or id and ed or both

I only do 3u math tho

 

[idkkdi]

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]

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.