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

This planning resource for Year 9 is for the topic of Volume and surface area: cylinders. Students calculate the surface area, volume and capacity of cylinders and solve related problems.

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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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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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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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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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Possible outcomes: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Possible outcomes. Students represent the probability of an event occurring on a scale of zero to one as decimals, fractions or percentages.

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Beeswax wrap project

This project creates opportunities for students to design, create, market and sell a plastic wrap alternative, and to work with a local business or community group that supplies some materials. This lesson was devised by Trudy Ward, Clarendon Vale Primary School, Tasmania.

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Saltwater crocs: resourceful or a resource?

This lesson focuses on the analysis of a dataset that records scientific data collected about the crocodile population in the Kimberley region during 2015. The lesson follows an inquiry process where students use the dataset to answer relevant questions about the crocodile population. It also provides an opportunity for ...

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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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Assessment task: Non-transitive dice

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to explore the outcomes of a set of non-transitive dice using probability tree diagrams, and discover their unique features. The assessment task is outlined in detail including ...

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Loot boxes

In this lesson, students will create their own video game concept, complete with a loot box system. They will then calculate the probability of obtaining all unique items to form a complete set, considering the challenges this random system entails and how the gambling system inherent could lead to unexpected losses. The ...

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Poker machines (simulation)

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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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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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Assessment tasks: metric units and relationship to decimals

Use the diagnostic tasks, Page sections and Decimals and measures, to assess a student’s understanding of metric units and their relationship to decimals.

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Ice cream puddles

Use this diagnostic task to assess understanding of area and comparing the area of two shapes using a relevant approach.

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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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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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Problem Solving (Year 6) - Calculate

This unit investigates the idea of problem solving in the year 6 classroom. By the end of Year 6 students should be able to solve problems involving addition, subtraction, multiplication and division or any combination of these processes. They should have a variety of problem-solving strategies in their repertoire, both ...