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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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Tiling problem

Use this diagnostic task to assess if students use an array structure when working out how many tiles fit in a rectangle.

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Leaf task

Use this diagnostic task to assess understanding of area and measuring the area of an irregular shape.

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Make a measuring jug

Use this diagnostic task to assess a student's understanding of capacity and the calibrated scale on a measuring jug.

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Broken ruler

This task can be used to reveal whether students can use markings on a ruler to measure in centimetres and whether they understand how the number on the scale relates to the units.

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Mathematical modelling: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts. They formulate problems using number sentences and choose efficient calculation strategies.

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Measures of turn (angles): Year 4 – planning tool

This planning resource for Year 4 is for the topic of Measures of turn (angles). Students develop their understanding that an angle is a figure formed by two rays sharing a common end point, called the vertex of the angle.

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Shapes and objects: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Shapes and objects. Students build on their knowledge of shape by combining and cutting 2D shapes.

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Conduct chance experiments: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Conduct chance experiments. Students conduct repeated chance experiments. Students carry out an experiment multiple times, record the results, and identify and describe any variation in these results.

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Decimal fractions video

Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.

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Place value: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Place value. Students apply their understanding of fractions and division to divide a whole (rectangle model) into 10 equal pieces. They learn that each piece represents 0.1 or one tenth of the length of the original whole.

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Possible outcomes: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Possible outcomes. Students build on their language of chance and ability to order outcomes or events based on their likelihood of occurring. They begin working with independent and dependent events – independent events occur when one event does not affect the other, ...

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Odd and even: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Odd and even. Students investigate the properties of odd and even numbers. They learn to identify and explain patterns that emerge when odd and even numbers are used in computation problems.

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Patterns and number facts: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Patterns and number facts. Students recall and demonstrate mastery of multiplication facts to 10 x 10 with related division facts, and extend to working with larger numbers. They use number facts and flexible strategies with computation of number problems.

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Metric units and using instruments: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Metric units and using instruments. Students develop understanding and use of metric units to measure, order and compare objects according to length, mass and capacity. Introduce students to measuring temperature.

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Have fun with flowcharts

Create a flowchart to represent a sequence of (branching) steps and decisions needed to solve a mathematical problem.

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Line of symmetry

Students identify and draw the lines of symmetry by folding 2D shapes.

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Statistics and probability: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover statistics and probability. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in chance and data including teaching and cultural implications.

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First steps in mathematics: Chance and data

This guide supports teachers to develop students’ understanding, skills and processes related to probability and statistics.

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Geometry: Foundation to Year 9

This comprehensive resource describes the progression of geometric reasoning. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in geometry including teaching and cultural implications.