It has now been seven years since the release of the current HSC Mathematics syllabuses in 2017, and the new 2024 syllabus is on the horizon. Prior to the introduction of the 2017 syllabus, Dr Bill Pender, a highly respected figure in Mathematics education and the author of widely-used Cambridge Mathematics textbooks, offered insightful observations… Continue reading 7 Years On: Revisiting Dr Pender’s 2017 Letter

# Tag: extension 2

## Recovering The Dot Product in Complex Numbers

In the pre-2017 syllabus, the only exposure students had to vectors was in the application of complex numbers to solve geometric problems. In the 2017 syllabus, and continuing into the newly released 2024 syllabus, the introduction of Euclidean vectors and their operations such as the dot product means that there is now a second framework… Continue reading Recovering The Dot Product in Complex Numbers

## My Solutions to 2024 HSC Mathematics Exams

Mathematics Advanced Mathematics Extension I Mathematics Extension II

## My Solutions to 2023 HSC Mathematics Extension II

Here’s a link to my solutions: https://www.dropbox.com/scl/fi/qwrq9e5ptz5wxgy7f76hi/2023-Ext-2-Solutions-Mok.pdf?rlkey=idnadofksn2n9ehpi3ogtefsh&dl=0 Here’s a video I quickly recorded explaining the solution to the last question in the 2023 HSC Mathematics Extension II paper. This question made the Sydney Morning Herald: https://www.smh.com.au/national/nsw/not-seen-a-question-like-it-the-most-difficult-problem-in-this-year-s-hsc-20231016-p5ecms.html News.com.au also featured my video here! https://www.news.com.au/lifestyle/parenting/school-life/sadistic-hsc-extension-2-maths-question-thats-too-hard-to-solve/news-story/16e1e8eafa486ac15fbf67fa8ffbc2a1

## The Language of Proof in HSC

Related Content Outcome MEX-P1 The Nature of Proof This post will primarily look at the following dot-point from page 28 of the Extension II syllabus: use the formal language of proof, including the terms statement, implication, converse, negation and contrapositive (ACMSM024) – use the symbols for implication (⇒), equivalence (⇔) and equality (=) , demonstrating a clear understanding of the… Continue reading The Language of Proof in HSC

## Dangerous Moivres

Related Content Outcomes: MEX-N2 Using Complex Numbers N2.1: Solving Equations with Complex Numbers Terrible Puns, Terrible Maths Excuse the terrible pun on “dangerous moves” in the title (I thought it was brilliant) but it’s to highlight the all too common mistake made by students (and teachers) of elementary high school mathematics of overlooking necessary assumptions… Continue reading Dangerous Moivres