Year 7
Unit 1: It's all about the base
In this unit, students will learn about index laws and length and angle properties for triangles, quadrilateral and lines. Students will focus on classifying triangles and quadrilaterals and solving problems related to the sum of the angles in these shapes. They will also classify angles and use these relationships to solve for unknown angles. They will also make connections between whole numbers, index numbers and square numbers.
Unit 2: Let's go shopping
In this unit, students will learn about fractions, percentages and decimals and where they are useful in life. Students will explain how fractions, decimals and percentages are connected and how to convert between them. They will formulate, solve, verify and communicate problems related to financial decisions in order to determine the best buy.
Unit 3: Transfomers
In this unit, students will learn about the cartesian plane and use it to represent translated, reflected, enlarged and rotated shapes. Students will assign ordered pairs to represent shapes on the cartesian plane and calculate the area of rectangles and the volume of prisms.
Unit 4: Do you know what I mean?
In this unit, students will learn about the measures of central tendency in Statistics. Students will calculate the mean, median, mode and range for data sets and construct dot plots and stem and leaf plots to display their data sets. They will also identify issues with the collection of continuous data.
Unit 5: Let's get it straight
In this unit, students will learn the skills of algebra and apply them to linear equations. Students will use integers to explore the skills in algebra such as the order of operations, collecting like terms and substitution. They will interpret linear representations and conduct probability experiments to determine sample spaces, experimental probability and theoretical probability.
Year 8
Unit 1: Let's get in shape
In this unit, students will identify properties and features of shapes and how they can aid in the calculation of perimeter, area and volume. Students will convert between measurement units, calculate perimeters, areas and volumes of a variety of shapes. They will formulate, solve, verify and communicate problems related to measurement.
Unit 2: Patterns make sense
In this unit, students will learn the algebraic skills of simplifying, factoising and expanding and they will investigate the Index Laws in more detail. Students will apply the first, second, third and fourth Index Laws to whole numbers to simplify them. They will make the connection between factorising and expanding and simplify expressions.
Unit 3: What's the chance of that?
In this unit, students will learn the literacy and issues with probability and data collection in order to model authentic situations. Students will use Venn diagrams and two way tables to model probability experiments. They will explore the effects of outliers on their data.
Unit 4: Let's make some money
In this unit, students will learn about profit and loss and the significance of linear equations. Students will formulate, solve, verify and communicate problems related to money. They will solve everyday problems related to rates, ratios and percentages including mark-ups, GST and discounts. Students wil also solve linear equations graphically and algebraically.
Unit 5: It's time to be irrational
In this unit, students will learn the significance of time, congruence and rational and irrational numbers. Students will make sense of time duration, including 12-hr and 24-hr time conversions and time zones. They will investigate how congruent triangles can help them to find unknown values in quadrilaterals.
Year 9
Unit 1: Why can't similar triangles weigh themselves? Because they can't find their scale.
In this unit, students will learn about ratio, scale and similarity of triangles and apply these concepts to area, surface area and volume problems. Students will calculate areas of triangles and composite shapes, and volumes and surface areas of right triangular based prisms and cylinders. Students will formulate, solve, verify and communicate problems related to scale factors, similar triangles, volume and surface area.
Unit 2 – It's a bit sketchy
In this unit, students will learn about simple interest, probability and the gradients and midpoints of lines. Students will use fractions, percentages and decimals in simple interest problems. They will determine gradients, midpoints, distance and equations of lines and investigate two step probability experiments.
Unit 3 – Stuck in the middle
In this unit, students will learn about collecting statistical data, constructing meaningful data displays and making sense of the measures of central tendency. Students will calculate the mean, median, mode and range for data sets and construct stem and leaf plots and histograms to display their data sets. They will also identify issues such as bias.
Unit 4 – Mathematicians love patterns
In this unit, students will learn about trigonometric ratios, Pythagoras Theorem, index laws, scientific notation and binomial expansion. Students will apply the index laws to write scientific notation, they will expand binomial expressions. They will use Pythagoras Theorem and trigonometric ratios to find unknown sides in triangles.
Year 10
Unit 1: Statistics say...
In this unit, students will learn how to investigate and evaluate statistical reports. Students will represent data in box-plots and histograms and compare the shape of distributions.
Unit 2: The shape of things
In this unit, students will learn how to do mathematical proofs and solve problems related to measurement and probability. Students will solve surface area and volume problems related to composite solids. They will apply deductive reasoning to prove mathematical statements and assign probabilities to multi-step experiments.
Unit 3: Don't panic, not everything is equal
In this unit, students will learn the relationship between factorising and expanding and solve problems related to algebraic fractions, linear equations and inequalities. Students will recognise the relationship between gradients and parallel and perpendicular lines and they will factorise monic quadratic expressions in various ways.
Extension topics of study will be offered to the extension class and these will entail students investigating surds and how to use irrational numbers and factorising non-monic quadratic expressions.
Unit 4: Emoji Maths
In this unit, students will learn how to make connections between algebra and graphs. Students will graph a variety of mathematical relations to make an emoji and investigate the points where they meet both graphically and algebraically.
Extension topics of study will be offered to the extension class and these will entail students investigating a selection of polynomials, parabolas, hyperbolas, circles and exponential functions and solving exponential equations.
Unit 5: Connections
In this unit, students will investigate the connections between simple and compound interest, congruence and similarity and the ratios in right angled triangles.
Extension topics of study will be offered to the extension class and these will entail students investigating and using the unit circle, applying Pythagoras Theorem to 3 Dimensional situations and establishing sine and cosine rules for non-right-angled triangles.