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What is the area?

Use this diagnostic task to assess what students know about area and using the area formula.

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Which lunchbox holds more?

Use this diagnostic task to assess what students know about volume and units to compare volumes.

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What are the odds?

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

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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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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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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

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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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First steps in mathematics: Measurement – Book 1

The content of this book is organised into topics including understanding units, and direct measuring.

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How heavy is this frog/tin?

Use this diagnostic task to assess understanding of mass and units used to measure mass.

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Spending the lotto millions!

Students apply standard and non-standard place value partitioning to seven-digit numbers.

Online

Patterns and number facts: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Patterns and number facts. Students recognise and explain the connection between multiplication and division as inverse operations and use this and other multiplicative properties to develop families of number facts. They apply this knowledge to solve multiplicative ...

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Find unknown values: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Find unknown values. Students further develop their algebraic thinking and strategies to find missing or unknown numbers in addition and subtraction related problems.

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Transformation: Symmetry: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Transformation: Symmetry. Students investigate reflection symmetry and develop their understanding of how the line of symmetry defines the two aspects of a ‘mirror’ image of the figure into two congruent halves. They explore rotational symmetry using familiar 2D shapes, ...

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Fractions: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Fractions. Students utilise their understanding of the magnitude of fractions to add and subtract a variety of fractions. Students need to be able to understand fraction notation (e.g. the meaning of the numerator and denominator) and represent repeated addition and ...

Video

How to win at rock-paper-scissors

Find out how to win at rock-paper-scissors using game theory. According to this theory, how should you decide on your next move when you play multiple rounds? See if you can apply this theory in multiple rounds of rock-paper-scissors with someone. Did you win? |Why would this theory be useful in economics?

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Conduct chance experiments: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct chance experiments. Students design and conduct chance experiments relating to conditional probability using digital simulation tools to conduct multiple trials. Students are expected to interpret problems and describe their interpretations.

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Pythagoras and trigonometry: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Pythagoras and trigonometry. Students apply their knowledge of Pythagoras' theorem to solve problems involving angles of elevation and depression and direction. They explore how direction can be indicated using true bearings and compass points.

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Estimation and reasonableness: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Estimation and reasonableness. Students make approximations using real numbers in repeated calculations. Students recognise the effect of the result of a problem comprising multiple steps of calculations when approximations or rounding has been utilised at each of those steps.

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Formulate and manipulate expressions: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Formulate and manipulate expressions. Students find unknown quantities in numerical equations involving a combination of operations.

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Number sequence: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Number sequence. Students extend their understanding of equivalence of fraction with visual representations such as a number line that extends beyond zero; concrete materials; and common multiples and fraction walls. Students learn to work with equivalence and explore ...