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
Category: Maths
Comments on the 2020 New HSC Syllabus Exams
It’s been a few weeks since the HSC 2020 Examinations concluded. Mathematics teachers and the students who sat the exam have had time to ruminate over what went into each paper. The Sydney Morning Herald printed a story about the Standard 2 Mathematics examination with a title that can only further scare future students from… Continue reading Comments on the 2020 New HSC Syllabus Exams
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
The Incomplete Treatment of Functions in HSC Mathematics
Related Content Outcome: MA-F1 Working with Functions F1.2: Introduction to Functions What Does The Syllabus Say? The first port of call for all students and teachers when learning or teaching HSC Mathematics is of course the Syllabus. Here is the excerpt from the Syllabus (Page 31) about how a function is defined: define and use… Continue reading The Incomplete Treatment of Functions in HSC Mathematics