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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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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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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.

Video

Additive strategies: Video and teaching guide

This video explores the use of computation strategies, rounding and estimation in real-world, additive situations. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. A range of strategies such as compensation and partitioning are demonstrated. Estimation and rounding are highlighted ...

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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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Time and duration: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Time and duration. Students convert between units of time and apply their knowledge, skills and processes to solving simple time-related problems. They develop fluency in telling time to the nearest minute.

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Position and location: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Position and location. Students create and interpret simple grid maps. Location on these informal maps can be represented by grid references. They understand that a grid reference identifies a region on a map.

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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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Follow and create algorithms: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Follow and create algorithms. Students create and follow algorithms involving a sequence of steps and decisions to generate number patterns involving addition or multiplication. They analyse the patterns generated and describe and explain them.

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Fruit fractions: Growing with fruit

Explore fractions through plant growth in this engaging lesson. Students will measure and represent plant growth using fractions, gaining a clear understanding of numerators and denominators. This interactive lesson encourages creative exploration of equivalent fractions while fostering a deeper connection with the concept ...

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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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Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

Video

Area and perimeter video

Use this video to connect area and perimeter to real world applications to set the context for why we are learning about area and perimeter.

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Bright budgeting

Students make calculations with amounts of money and make financial decisions.

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Line of symmetry

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

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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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.