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Proportion, Graphs and Equations - Calculate

This unit challenges students to identify and describe everyday examples of ‘direct’ and ‘indirect’ proportion. They learn to recognise direct and inverse proportion from graphs, distinguish between positive and negative gradients and use the equation y = kx to model direct linear proportion.

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Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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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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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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What’s the cost?

This lesson explores gambling losses by comparing losses to other average household purchases. Students then explore how this money could be more profitably invested in a compound interest scheme over time. Finally, students are asked to critically reflect on the true social and financial cost of gambling and to consider ...

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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 Mathematics of Projectiles - Calculate

This activity provides a practical introduction to the motion of projectiles with a focus on angles. It is designed as a lead in to parabolic and quadratic functions.

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Mathematical modelling (Measurement): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Mathematical modelling. Students continue to solve mathematical problems from the real world around them. They draw upon knowledge learnt in the area of Measurement.

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Number sequence: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Number sequence. Students work with the real number system and recognise both rational and irrational numbers when working on a variety of mathematical problems. Students are fluent with integer arithmetic, fractions, decimals and now further their skills, applying them ...

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Collect, sort and compare data: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Collect, sort and compare data. Students examine different techniques for collecting types of data and begin to consider the challenges of collecting representative data by sampling a population.

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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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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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Back to the books

In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

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Irrational Numbers - Calculate

In this unit, let's investigate irrational numbers! We'll look at some examples of commonly used irrational numbers such as Pi (π), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world

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Work sample Year 9 Mathematics: Cylinder volume

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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Time and duration: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Time and duration. Students are introduced to expressing numbers in scientific form. This descriptor applies scientific form specifically to time. Students require a good understanding of place value and powers of ten. Students should know where the notation is used ...

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Graphs: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Graphs. Students work with points, straight lines and line segments on the Cartesian plane, and use the coordinates of points to apply the formulas for calculating the gradient, midpoint and length of a line segment (distance between two points). They use digital tools ...

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Statistical analysis: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Statistical analysis. Students have knowledge of various representations of data and can now extend this to comparison. Students compare many data sets of numerical variables to make comparisons using appropriate mathematical vocabulary. Students consider the shape and ...

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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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Interpret and discuss data displays: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Interpret and discuss data displays. Students will be presented with various digital media to investigate and evaluate findings from reports of surveys. Students will make informative decisions based on their prior knowledge of sampling and data collection to make judgements ...