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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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Kitchen scales

Use this diagnostic task to assess a student's understanding of mass and the graduations on a kitchen scale.

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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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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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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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Time and duration: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Time and duration. Students focus on reading time in 12- and 24-hour time and converting between them. They build on their knowledge of am and pm notation and solve time-related problems.

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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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Fractions, decimals and percentages: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Fractions, decimals and percentages. Students recognise that fractions, decimal fractions and percentages are equivalent ways to represent and make sense of quantities. They learn about the different contexts where it makes sense to use one of the constructs to express ...

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Factors, multiples, primes: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Factors and multiples. Students investigate the properties of multiplication as they learn increasingly efficient and sophisticated strategies to solve multiplication problems. They also explore divisibility rules.

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Find unknown values: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Find unknown values. Students explore mathematical equations involving multiplication and division.

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Conduct statistical investigations: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Conduct statistical investigations. Students plan and conduct a statistical investigation. They pose questions and collect data using simple surveys or checklists. They select appropriate ways to display the data, interpret the represented data, and communicate their findings.

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Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

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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: Measurement – Book 2

A guide to teaching about measurement including indirect measuring, and estimating.

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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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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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Packaging

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

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Café Fractions - Calculate

In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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Adaptive Speciation of Honeybees - Calculate

Using the example of the humble honey bee, this integrated Science and Mathematics unit illustrates the way in which speciation occurs in nature and explains how living things adapt to survive in their environment. In doing so, the unit describes the nature of simple multiplicative number sequences and how simple algebraic ...

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Pattern & Algebra Year 5 - Calculate

The focus of this activity is to discover if students can interpret information in a table and use fractions (with the same denominator) to represent different amounts. We want to encourage students to use what they know about to interpret the information in the table before applying their understanding of fractions.