General Mathematics is most suited to students who plan to study a vocational pathway. They will work with decimals, common percentages, simple ratios, powers, rules for number patterns, simple interest, discounts, rates of pay, perimeter and area of polygons, volumes of rectangular prisms, transformations of 2D and 3D shapes, simple chance experiments and the ordering of outcomes from trials. They will go on to study fractions, percentages, square and cube roots, negative numbers, ratios, positive integer powers, spread sheets, surface area and volume of prisms and pyramids, trigonometric ratios, traversable networks, simulations, the language of probability, grouped data, measures of central tendency and scatterplots. This level of Mathematics is excellent background for a career in the trades, or an Apprenticeship.
In Year 11 (ATAR Mathematics), students will apply ratios, rates and direct proportion in practical situations. They will calculate profit and loss, discount and commission in financial contexts. They will study linear and exponential relationships, Pythagoras’ Theorem, geometric transformations, coordinate geometry, right triangle trigonometry, networks, probability and the collection, representation and interpretation of data. Students will also study aspects of financial Mathematics, coordinate geometry, networks, recursion, functions and their graphs, trigonometry, probabilities for events that occur in two or three stages and the collection, representation and interpretation of data.
In Year 12 (ATAR Mathematics) they go on to study the properties of functions and their graphs; further develop their skills in solving equations, differential and integral calculus, linear programming, recursion, trigonometry, project networks, regression, probability distributions, deductive reasoning and the analysis of bivariate data.
This course had been designed for the very able Maths student. It is expected that most students studying these units will combine ATAR Mathematics Specialist with ATAR Mathematics. In these units, students study vectors; trigonometric, exponential, logarithmic and other functions, complex numbers, polar coordinates and they establish and use properties to develop deductive proofs. By building strong algebraic skills to support mathematical arguments, students investigate more complex models to solve practical problems.
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