Wiki Page, HSC Mathematics 2 unit advanced: 2017 Term 1

Wiki Page
2016-10-20T18:29:43-06:00

Here is the link to the previous term's (2016) page.

The year 12 assessment schedule: HMAT 2017 assessment schedule.docx

Here is the board of studies website (to check the syllabus and the content that you need to know for the HSC):

http://www.boardofstudies.nsw.edu.au/syllabus_hsc/mathematics-advanced.html

and here are 2 GREAT WEBSITES to access 100's of exam papers from all over the NSW education system:

http://www.boredofstudies.org/

http://www.acehsc.net/

I will be getting a lot of assessment questions from these websites. Good luck finding them when I haven't written out the exam yet!

The only way to improve exam technique is by practising on past exams.

Here is the maths 2 unit formula sheet provided in the exam: https://www.boardofstudies.nsw.edu.au/syllabus_hsc/pdf_doc/maths-ref-sheet.pdf

Here are some websites I use to support the teaching of the advanced course. You should play around with them and explore their options because these programs make the 2 unit course very easy to understand.

www.desmos.com

www.geogebra.com

www.wolframalpha.com

http://www.derivative-calculator.net/

http://www.integral-calculator.com/

www.symbolab.com

Also, credit to Vanessa (and Fiona Karren) who uses HSC Hub a lot.

START of 2017:

You should try these (new) maths websites which are a good learning resource:

Khan Academy,

wootube

Mathstube,

https://www.youtube.com/watch?v=pg827uDPFqA

(How to obtain the number e)

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Here are my power points on logarithms and exponentials:

Basic introduction to 2U - Logarithms.ppt

05 Logarithms.ppt (logarithms on the calculator)

2nd introduction to Logarithms.ppt (introduction to logarithms - long but really good!)

Questions on 2U - What_is_Log.ppt (only do this when you fully understand the logarithm concept)

the 3 log laws: 06 Logarithm Laws.ppt (how to solve log equations)

08 Derivatives of Logs.ppt (proof of log differentiation)

Differentiation 2.pptx (how to differentiate: e functions, logarithms, trig.)

Integrating log functions.ppt (how to integrate fractions into logarithm functions)

09 Integration of Logs.ppt (another integration of logs)

HSC Logs & Exponential functions.ppt (a massive file that shows e and logs in action - almost everything you need)

And your final destination is the HSC past exam questions, as usual: HSC 2U Logs. and Exp..pdf (which also has trig.!)

SO YOU WANT TO PREPARE FOR YOUR HALF-YEARLY EXAM (all of prelim. and everything studied in the first term of 2017)?

(in the order that you were taught it hopefully):

HSC 2U mult. choice.pdf (can be on any topic)

HSC 2U prelim. skills.pdf (the question 1s to 2s of the HSC)

HSC 2U prelim. geom..pdf (Euclidian geometry, i.e. traingles, quadrilaterals and polygons. Missing angles and missing sides, congruent triangles and proofs)

HSC 2U Coord. Geom..pdf (equations on the Cartesian number plane)

HSC 2U prelim. functions.pdf (function notation, piecemeal functions, even and odd functions, domain and range and the families of functions)

HSC 2U prelim. quads..pdf (the quadratic function, how to draw a parabola, the discriminant, identical quadratics, sum and product of roots)

HSC 2U Differentiation and Geom. Appl..pdf (how to differentiate basic polynomials using product, quotient and chain rule, and how these are used to sketch curves)

HSC 2U Integration-1.pdf (reverse differentiation, primitives, area under 1 curve, area between 2 curves, Simpson's rule, Trapezoidal rule, volume of solid of rotation).

HSC 2U trig. (year 12).pdf (how to sketch trig curves, trig. identities, period and amplitude, 3 trig. formulae, etc.)

(: !!! HAPPY REVISING !!! :)

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Curriculum timetable

(while the textbook is used to practise number skills the emphasis is on mastering content, especially semantics, and procedures) :

If you understand the semantics in a question and you have mastered the process, then I guarantee that you will not have the slightest fear of what the numbers are. In fact, you will not care what the numbers are because you know, in the depths of your soul, that you are going to get it RIGHT!

Week / Date | Lesson 1 (Tuesday) | Lesson 2 (Wed)

1 / 31 Jan

N/A

Exponentials:

What is e? (ex. 4.1)

Differentiating functions of e. (ex. 4.2)

Integrating functions of e (ex. 4.3)

2 / 7 Feb

Logarithms:

What is a log(arithm)? (ex. 4.4)

The 3 log laws (ex. 4.5)

The change of base formula (ex. 4.6)

YOU GOT YOUR EXAM BACK!

Logarithms:

Differentiating log functions (ex. 4.7)

3 / 14 Feb

Logarithms:

Integrating log. fns. (ex. 4.8)

Trigonometry:

Radians unit (ex. 5.1)

Exact angles and trig. equations using radians (ex. 5.2)

4 / 21 Feb

Trigonometry:

The 3 circle formulae (ex. 5.3, 5.4, 5.5)

Trigonometry:

The limit formulae for sin, cos and tan (small angles) (ex. 5.6)

Trig graphs and all sorts of transformations (ex. 5.7)

Using graphs to solve equations (ex. 5.8)

5 / 28 Feb | Differentiating and Integrating trig. fns. (ex. 5.9, 5.10) | REVISION
6 / 7 Mar | REV. | REV.
7 / 14 Mar | REV. | REV.
8 / 21 Mar | REV. | REV.
9 / 28 Mar | EXAM BLOCK | EXAM BLOCK
10 / 4 Apr | EXAM | EXAM BLOCK