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Real Numbers
This unit involves a consolidation of a range of critical calculation skills. Students perform operations on fractions, decimals and percentages, including percentage increases and decreases, with and without digital technologies
Number and Place Value
Students carry out the four operations appropriately.
Best buy
Money and Financial Maths
They investigate profit and loss, and calculate ‘best buys’ with and without digital technologies
Students will solve problems involving simple and compound interest.
They will use mathematical modelling to solve practical problems involving financial contexts; such as wages and earnings, superannuation and tax.
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Using Units of Measurements
Students will solve problems involving length, perimeter and area of a range of two dimensional shapes. They will use formulas to solve problems involving circumference and area.
Pythagoras and Trigonometry
Students will investigate and apply Pythagoras’ Theorem and trigonometry to solve right-angled triangle problems.
Using Units of Measurements
Students will solve problems involving surface area and volume for a range of prisms, cylinders and composite solids.
Pythagoras and Trigonometry
Students will use trigonometry to solve problems involving direction and angles of elevation and depression, and Pythagoras to solve problems involving three-dimensional right-angle triangles.
Geometric Reasoning
Students will apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes.
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Patterns and Algebra
In this unit, students will substitute values into formulas to determine an unknown.
Students expand and factorise binomial algebraic expressions and evaluate expressions by substituting values into formulas.
Data Representation and Interpretation
Students will construct and compare a range of data displays including stem-and-leaf plots and dot plots and histograms. They will calculate measures of centre and spread, interquartile ranges and standard deviation, and use these to compare and interpret data sets. Students will investigate the effect of outliers on the mean and median.
Students will investigate the relationship between two numerical variables, including where the independent variable is time.
They will evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data
Linear and Non-Linear relationships
Students will solve linear equations.
They will determine the equation of a line of best fit through data points.
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Chance
Students will use tree diagrams to find probability outcomes and relative frequencies to estimate probabilities of events. They will investigate independence and use conditional statements.
They will plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty.
Students will list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes.
Students will design and conduct  repeated chance experiments and simulations using digital tools to model conditional probability and interpret results.
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