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The cost of cars

This lesson is designed for students to learn about car ownership in Australia and the real costs of buying and running a car. Students explore car ownership statistics in Australia, investigate the range of decisions people make about transport, calculate and compare costs of transport and make decisions on additional ...

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Understanding compound interest

In this lesson students learn how compound interest works. They explore the difference between simple interest and compound interest, apply compund interest to saving scenarios and calculate the outcomes from different deposit plans with compund interest applied. They then go on to consider the impact of compound interest ...

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Pythagoras and trigonometry (Space): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Pythagoras and trigonometry. Students develop and use their understanding of the relationship between the corresponding sides of similar right-angled triangles.

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Volume and surface area: prisms: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Volume and surface area: prisms. Students solve problems involving the surface area and volume of right prisms.

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Formulate and manipulate expressions: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Formulate and manipulate expressions. Students move beyond expanding and factorising linear expressions, such as 3(2x – 1) or 4x + 6, to working with monic quadratic expressions (that is, where the coefficient of the square term is 1). This involves expanding expressions ...

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Conduct chance experiments: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Conduct chance experiments. Students draw on what they have learnt about probabilities related to compound events and apply this knowledge in a variety of experiments. The use of digital tools and simulations allow for repeated practice of compound events and help to ...

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Conduct statistical investigations: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Conduct statistical investigations. Students plan and conduct a statistical investigation. Encourage students to think creatively to come up with a topic for investigation; prompt students to choose a topic of interest so that they engage in the process and are motivated ...

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Algorithms: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Algorithms. Students draw upon their knowledge of congruency, transformations and ratios of right-angled triangles and apply creativity, critical thinking and reasoning skills to a sequenced geometric problem. For example, students may design a flow chart to prove the ...

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Measurement of error: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Measurement of error. Students make considered estimations of measurements. They use percentages to calculate the size of errors in different circumstances. They estimate the accuracy of given measurements and the effects of rounding.

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Use variables: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

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Probability calculations: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Probability calculations. Students build on their knowledge of probability, Venn diagrams, two-way tables and the terms ‘and’ and ‘or’ (inclusive or exclusive) in relation to events whereby relative frequencies may be calculated.

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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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Measurement: Foundation to Year 9

This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement including teaching and cultural implications.

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Represent collected data: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Represent collected data. Students are familiar with different types of visualisations of data and variables and can evaluate and interpret data displays. Students can label data as categorical (ordinal or nominal) or numerical (discrete or continuous) and consider which ...

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Lucky lottery

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Counter-intuitive probability

This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...

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A Little Atmosphere

This activity invites students to model the scaled thickness of the atmosphere on a globe using sheets of transparency material. The activity includes a list of tools and materials required, what to do and notice, an explanation for the underlying science of what students observe and suggestions for further activities.

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Work sample Year 9 Mathematics: Similar triangles

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 9 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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The humanoid project

Students explore a large data set.