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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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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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Position and location: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Position and location. Students work with 3D objects that can be located on the x, y, z planes, allowing students to extend their thinking away from flat objects on a 2D plane, to objects with volume that have a position in space with (x, y, z) coordinates. Students ...

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Categorisation

Use this task to assess students’ knowledge and understanding of properties of shapes, and language they use when describing common features.

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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 ...

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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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Mathematical modelling (Number): Year 7 – planning tool

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use knowledge of the other topics in the Number strand, so that applying knowledge and skills can be modelled. This can be done in groups or as a whole class, as well as individually. Collaborative learning works well for practical problems.

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Shapes and objects: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Shapes and objects. Students build on their knowledge of two-dimensional shapes. They classify triangles according to their side length (scalene, isosceles, equilateral) and their angle properties (right, acute, obtuse). Students identify and describe different quadrilaterals ...

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Shapes and objects: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Shapes and objects. Students identify and describe 3D objects and their geometric properties. Students develop their understanding of an object’s properties by creating models using a variety of materials. They explore common objects in the environment and explain the ...

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Easter Show games of chance

In this lesson, students will calculate the probability of an average person scoring a shot at a basketball game at the Easter Show. They will then use these probabilities to design a payout system which can absorb the losses from an average player winning big, whilst profiting from the average player who scores very poorly, ...

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The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

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Fencing the yard

Students review and calculate perimeters and areas of rectangles.

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Supersize it

Students transform and enlarge shapes using a grid.

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What are the odds?

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

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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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Snail trails

Refer to the diagnostic task for a guide on how to conduct a one-on-one interview where the student is asked to measure length by choosing an informal unit.

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Humpback whales: what the data reveals

The lesson follows an inquiry process where students use the dataset to answer relevant questions about the whale population. They consider what other data they would need in order to effectively examine the impact on humpback whales of sonar activity and noise from development.

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Fruit fractions: Fruit karate

In this lesson, students use fruit to explore common fractions. They step into the world of fractions by exploring various fruits and slicing them into halves, quarters and eighths. Through materials such as playdough and interactive discussions, they discover the meaning of terms such as numerator and denominator while ...

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How long does it take?

Students describe, compare and order the duration of events. They investigate the length of a day and sequence the different phases that occur within this time period.

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Ups and downs

Students position positive and negative whole numbers on a number line.