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What are the odds?

Students calculate the probability for single-step events using sample spaces.

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Tracking triangles

Students identify a variety of three-sided shapes and describe the features of all triangles.

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Fill it up

Students establish a mental image of one litre and measure the capacity of everyday containers using litres.

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Assessment task: Chuck-a-Luck

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to investigate an old gambling game known as Chuck-a-Luck. They will calculate the probabilities of each betting option and their expected values. The assessment task is ...

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Mathletes in motion

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.

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Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Convert me

Students explore measurement prefixes and convert between units of measurement.

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The teen game

Students use standard place-value partitioning to represent 'teen' numbers.

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Hundreds and thousands

Students compare and order three-digit numbers using number lines.

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School challenge

Students represent four-digit numbers to 2,000 using materials. They read, write and compare three-digit and four-digit numbers.

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Which tin?

Use this diagnostic task in the style of a one-on-one interview to assess a student's knowledge and understanding of an object's properties, and their use of comparative language.

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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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Packaging

Students explore the features and properties of three-dimensional (3D) objects to identify and create nets of 3D objects.

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The school delivery

Use this task to assess language the student uses to describe position, direction and pathways in familiar environments.

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Sports betting

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

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Graphs: formulas and variables

In this lesson, students use algebra and linear equations to model two real-world scenarios to find information to make the best choice. Students set the aim of saving for a mobile phone (or similar goal) and use linear equations to model the pay rates of two part-time jobs to help make the better decision. This lesson ...

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Smart shopping

Students compare and evaluate different shopping options.

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Clever calendars

Students use calendars for a variety of purposes, exploring that calendars can look different and that Aboriginal and Torres Strait Islander peoples may recognise different seasons.

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Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Multi-bets

In this lesson, students will calculate both the payout and the odds for various multi-bets, demonstrating how even this increased payout does not match the probability of achieving such a bet, and therefore the risk and appeal of the bet should be weighed up. The lesson is outlined in detail including NSW curriculum links, ...