YEAR 9 MATHEMATICS ADVANCED
Who is this course for?
Specifically developed for Year 9 students studying Mathematics Advanced (5.3) and covers most of the content in 5.3 Mathematics (see list of topics below).
Through this course, we aim to give students an in-depth understanding of the topics and further develop their maths abilities. We will work to strengthen foundational skills, improve critical thinking and problem solving skills, and learn how to synthesise different techniques to excel not only in Stage 5 Mathematics but also for Stage 6 Mathematics!
Recommended for students who:
✔ want to improve their maths skills and enjoy a challenge
✔ enjoy interpersonal interactions and in-class discussions in an informal environment
✔ desire the structure and accountability of weekly lessons
✔ appreciate additional support while in class
Face-to-Face Lessons
$70 per lesson (billed termly)
Discounts available!
✔ 2-hour weekly lessons through our teaching term
✔ Top quality teaching makes difficult concepts easier to grasp
✔ Topics are taught systematically and comprehensively
✔ Amazing learning experience
✔ Small class size allows for flexible topic schedule
✔ Comprehensive course notes for you to note-take and personalise
✔ 24/7 access to HSC101 for on-demand streaming of thousands of learning videos
✔ AI driven practices to help you master course content
✔ Workbooks with careful curation of challenging questions to help you go that extra mile
✔ Progress tracking to identify and overcome any challenges
✔ Always here and ready to help!
List of Topics
-
+ The number system
+ Simplifying surds
+ Rationalising the denominator
+ Introduction to algebra
+ Expanding brackets
+ Special binomial expansions
+ Factorisation techniques (common factors, grouping in pairs and difference of two squares)
+ Factorisation of quadratic trinomials
+ Indices and fundamental index laws
+ Negative and fractional indices
+ Simplifying algebraic fractions
+ Multiplication and division of algebraic fractions
+ Addition and subtraction of algebraic fractions -
+ Solving linear equations (and problem solving applications)
+ Formulae (rearranging the subject)
+ Linear inequations
+ Solving simultaneous equations by substitution
+ Solving simultaneous equations by elimination
+ Simultaneous equations and problem solving
+ Solving quadratic equations by factorisation
+ Solving quadratic equations by completing the square
+ Solving quadratic equations by the quadratic formula
+ Quadratic equations and problem solving -
+ Distance, midpoint and gradient
+ Equations of lines and their graphs
+ Applied coordinate geometry
+ Shading regions
+ Sketching parabolas (general methodology)
+ Sketching parabolas by completing the square -
+ Introduction to statistics
+ Graphical representation of data
+ Cumulative frequency (distribution, polygon/ogive and curve)
+ Data analysis: measure of central tendency (mean, mode and median)
+ Data analysis: measure of spread (range, interquartile range, variance and standard deviation)
+ Box-and-whisker plot
+ Introduction to probability
+ Experimental vs theoretical probability
+ Compound events: independent vs dependent events; tree diagram
+ Mutually exclusive events -
+ Income
+ Tax and deductions
+ Consumption
+ Simple and compound interest
+ Depreciation -
+ Basic angle theorems
+ Parallel lines and transversals
+ Triangle theorems and special triangles
+ Quadrilaterals and special quadrilateral properties
+ Polygon angle theorems (interior and exterior angles)
+ Congruence (proving congruent triangles)
+ Similarity (proving similar triangles) -
+ Pythagoras' Theorem
+ Perimeter of plane figures
+ Area of plane figures
+ Arcs and sectors
+ Surface area of solids
+ Volume of solids
+ Similarity of figures and solids (area and volume) -
+ Introduction to trigonometric ratios (right-angled trigonometry)
+ Applications of trigonometry: angles of elevation and depression
+ Applications of trigonometry: bearings
Please note that the topics above are not necessarily covered in chronological order. We run a flexible schedule based on the students’ need. Please contact us for specific details.