HSC Mathematics Preparation Course – Advanced & Extenstion

HSC Mathematics Preparation Course

Advanced / Extension (JULY)

This course is the combination between all chapters in Advanced Mathematics and Extension Mathematics which provides consolidation of the key content and skills from specific topics in the HSC Course. Study skills and examination techniques will also be emphasised.

Outcomes

By the end of this course, you should be able to:

PART 1 (MON 3/7 – WED 5/7)

– apply transformations to sketch polynomial, reciprocal, absolute value, trigonometric, exponential or logarithmic functions

– use graphical methods and supporting algebraic techniques to solve a variety of practical problems, including those involving periodic phenomena

– solve trigonometric equations

– differentiate trigonometric, exponential and logarithmic functions

– apply the product, quotient and chain rules to differentiate functions

– organise, interpret and display grouped and ungrouped data

– calculate and interpret summary statistics and identify outliers

– construct bivariate scatterplots and use them to describe patterns, features and associations of bivariate data sets

– analyse bivariate data sets using Pearson’s correlation coefficient and lines of best fit

– answer a range of questions based on the topics covered

– critically evaluate your own and others’ solutions to improve the quality of responses in assessment tasks

– interpret mathematical language of examination questions to better understand the steps required in a quality solution.

PART 2 (FRI 7/7 – MON 10/7)

– apply techniques from calculus to curve sketching and to problems on maxima and minima

– use knowledge of arithmetic and geometric series to solve problems

– find integrals and use integration to calculate areas, and volumes of solids of revolution

– answer a range of questions based on the topics covered

– critically evaluate your own and others’ solutions to improve the quality of responses in assessment tasks

– interpret mathematical language of examination questions to better understand the steps required in a quality solution.

PART 3 (WED 12/7 – FRI 14/7)

– use radians to measure angles and calculate arc lengths, as well as areas of sectors and segments

– sketch and interpret trigonometric graphs

– differentiate and integration functions involving exponentials, logarithms and trigonometric functions

– identify rates of change as derivatives with respect to time and solve problems involving exponential growth and decay and velocity and acceleration as time derivatives

– answer a range of questions based on the topics covered

– critically evaluate your own and others’ solutions to improve the quality of responses in assessment tasks

– interpret mathematical language of examination questions to better understand the steps required in a quality solution.

Content

The following topics from the Mathematics Advanced HSC syllabus will be covered:

– MA-F2 Graphing Techniques

– MA-F3 Trigonometric Functions and Graphs

– MA-C2 Differential Calculus

– MA-S2 Descriptive Statistics and Bivariate Data Analysis

– MA-C3 The Second Derivative

– MA-S3 Random Variables

– MA-C4 Integral Calculus

– MA-M1 Modelling Financial Situations

Intended audience

Year 12 students or accelerated Year 11 students who have already completed the previous topics.

Delivery style

Delivered as a six-day activity-based workshop where we will explore and apply mathematical knowledge and skills in a combination of lectures, tutorials and problem-solving sessions. Practice exercises are carefully graded and you will receive immediate feedback.

Materials

You will receive electronic copies of the following:

– a course booklet including theory and worked examples, covering all syllabus dot points from the relevant topics

– solutions to all questions in the course booklet

– relevant past examination questions from the previous mathematics course, as well as from other educational jurisdictions, with sample answers provided.

Course evaluation

This course will be evaluated via an email on-line student questionnaire delivered in class.

How does Trial/HSC look like?

– While you progress through this journey and also the conclusion of your schooling life, we know you’ll have a lot on your mind – exams, future study, careers – but remember, while keeping focused on these bigger goals and aspirations, it’s also important not to forget your own health and well-being.

– To imagine how the trial/hsc examination period look like, you can review it via the link “how does the trial/hsc examination look like?” 

– For tips on staying motivated and keeping focused, dealing with anxiety, keeping healthy, relaxation, pre-study exercise and more, read our article Make Stress Your Friends. 

Class schedule