Mathematics / Year 4 / Space

Curriculum content descriptions

recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate (AC9M4SP03)

Elaborations
  • identifying rotational symmetry of shapes by tracing around various shapes and objects to create an image, and using the image to test and record which different rotations result in the same image
  • using dynamic geometric software to manipulate shapes and create symmetrical patterns; for example, creating tessellation patterns that are symmetrical
  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and Islamic artwork to investigate and discuss line and rotational symmetry
  • exploring the natural environment on Country/Place to investigate and discuss patterns and symmetry of shapes and objects such as in flowers, plants and landscapes
General capabilities
  • Numeracy Numeracy
ScOT terms

Shapes (Geometry),  Line symmetry,  Patterns,  Rotational symmetry

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Line of symmetry

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

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Transformations Year 3 & 4 - Calculate

This lesson helps students explore different shape transformations and describe symmetry in objects and images.

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Symmetry Year 4 - Calculate

This activity is about symmetry and transformations. The aim is for students not simply find solutions but to think about a way to record their discoveries in a systematic way. How can students share their thinking and compare their answers to someone else?

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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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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.

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My town

Students use everyday language to give directions, follow directions to locate positions on maps, and draw plans from a bird’s-eye view.

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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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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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Maps Year 3 & 4 - Calculate

The focus of this activity is to encourage students to use trial and error and persistence to solve a mathematical problem.

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Mystery Picture - Calculate

This activity asks students to follow directions and use grid coordinates to create a picture.

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Catch the Moon - Calculate

This game applies students' knowledge of location on a grid and practises directional language. Students develop a strategy to make effective moves, using two dice, counters and a 10 by 10 grid.

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Investigating Measurement (Year 3 & 4) - Calculate

The focus of this activity is to find out what students know and understand about length and the metric system.

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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

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Pattern & Algebra Year 4 - Calculate

The focus of this activity is to discover if students can use numbers to describe a pattern created with objects. We want to encourage students to record what they know about the pattern in a table and then use this information to help predict future terms and identify the rule or function for the pattern. By recording ...

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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 1

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

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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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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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Make a measuring jug

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