YEAR 10 MATHEMATICS ADVANCED
Who is this course for?
Specifically developed for Year 10 students studying Mathematics Advanced (5.3). We will revisit some key core topics and cover the harder and extension topics that were not covered in Year 9. See full 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
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+ Simplifying surds
+ Rationalising the denominator
+ Expanding brackets: distributive law
+ Expanding brackets: quadratics and cubics
+ Revision of factorisation techniques (common factors, difference of two squares and grouping in pairs)
+ Factorisation of quadratic trinomials
+ Factorisation of sum and difference of two cubes
+ Revision of indices (index laws / negative and fractional indices)
+ Revision of algebraic fractions (simplification / multiplication&division / addition&subtraction)
+ Simplifying compound algebraic fractions -
+ Solving linear equations (and problem solving applications)
+ Formulae (rearranging the subject)
+ Linear inequations
+ Revision of quadratic equations (by factorisation / completing the square / the quadratic formula)
+ Equations reducible to quadratics
+ Quadratic equations and problem solving
+ Further quadratic equations: theory of the discriminant
+ Further quadratic equations: nature of parabola
+ Further quadratic equations: intersection points and the discriminant
+ Further quadratic equations: relationship between roots and coefficients -
+ Revision of basic coordinate geometry techniques (distance, midpoint and gradient)
+ Angle of inclination
+ Working with linear equations (graphing lines and finding their equation)
+ Applied coordinate geometry
+ Sketching parabolas (general methodology)
+ Sketching parabolas (by finding the vertex)
+ Quadratic inequations
+ Maximisation and minimisation of quadratics
+ Further curve sketching: sketching power curves
+ Further curve sketching: sketching exponential graphs
+ Further curve sketching: sketching hyperbolas
+ Further curve sketching: sketching circles
+ Curves and intersections -
+ Revision of trigonometric ratios
+ Angles of any magnitude (related angles and ASTC)
+ Special angles
+ The sine rule
+ The cosine rule
+ Area of triangle formula -
+ Euclidean geometry
+ Financial mathematics
+ Measurement
+ Statistics and probability -
+ Properties of a circle
+ Chord theorems
+ Angle theorems
+ Cyclic quadrilaterals
+ Tangent theorems
+ Alternate segment theorem
+ Intercept theorems -
+ Logarithmic form
+ Logarithmic laws
+ Change of base formula
+ Solving exponential equations -
+ Terminology of polynomials
+ Polynomial long division
+ Remainder theorem
+ Factor theorem
+ Graphs of polynomial functions
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.