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Mathematics / Year 4 / Space

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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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6 direct matches to AC9M4SP03 | 14 other related resources
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Making maths: Rangoli designs

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This resource is a web page containing an activity about symmetrical patterns that are used to decorate traditional Indian clothing and architecture. The patterns contain line and/or rotational symmetry. Students can examine the patterns and identify the type of symmetry present in each one. This resource is one of a series ...

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Making maths: Indian window screen

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This resource is a web page containing an activity about constructing symmetrical decorative patterns. The resource provides initial step-by-step instructions for using standard grid paper to recreate an intricate pattern found in a traditional Indian window screen. This resource is one of a series of activities from the ...

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Symmetry Year 4 - Calculate

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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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Transformations Year 3 & 4 - Calculate

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

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Transformation: Symmetry: Year 4 – planning tool

  • TLF-IDA003191

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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Line of symmetry

  • TLF-IDA003555

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

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Sizing Them Up

  • TLF-IDM020722

This resource is a web page containing a short task to explore area of irregular shapes by informal means. Arrange irregular shapes in size order smallest to largest. This resource is an activity from the NRICH website.

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Draw an egg

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This teaching resource outlines an activity for students to draw an egg shape by hand, using a method that combines three ellipses. The resource outlines the materials required, provides instructions for drawing the curve, describes how the shape is composed of ellipses, and introduces some places where the egg shape is ...

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Skeleton Shapes

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This resource is a web page containing a practical task to model 3-D objects. The task suggests the use of straws and modelling clay or similar material to create a model of firstly a cube and next other 3-D objects. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

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Counting games - years 1 and 2

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This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...

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Position and location: Year 4 – planning tool

  • TLF-IDA003187

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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Area and perimeter: Year 4 – planning tool

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This planning resource for Year 4 is for the topic of Area and perimeter. Students estimate and measure perimeter and area using informal and formal units.

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Space Race Game (Introducing Algorithmic Thinking) - Calculate

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Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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How Full Is a Bucket? - Calculate

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This team-based game challenges students to use metric units of volume and to make capacity estimates for various containers.

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First steps in mathematics: Space

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This guide supports teachers to develop students’ geometric understandings.

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Broken ruler

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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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Maps Year 3 & 4 - Calculate

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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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Inquiry Prompt Ribbon Bow - Calculate

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This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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Investigating Measurement (Year 3 & 4) - Calculate

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

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Metric units and using instruments: Year 4 – planning tool

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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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