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

Online

reSolve: Authentic Problems: Expanded Square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

Online

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, ...

Online

reSolve: Measurement - Parcel in the Post

This lesson challenges students to find the most cost-efficient way to package a variety of items to send in the post. Students are provided with a matrix of parcel postage charges and a variety of different possible parcels. They categorise the parcels, measure their dimensions and weights and then calculate the postage ...

Online

reSolve: Algebra: Triangle Inequality

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

Online

reSolve: Geometry: Trapezium Pieces

This lesson explores different shapes that can be formed by cutting a trapezium in two with one straight line. Students are challenged to classify and name the shapes that are made, and justify their classifications based on the definitions and properties of shapes. The lesson is outlined in detail including curriculum ...

Online

Programming projects

This is a unit for Year 4 from the Scope and sequence resources from the DT Hub. The topic of programming is organised into four key elements. Use this flow of activities to plan and assess students against the relevant achievement standards. Students develop an understanding of computer programming as a series of instructions.

Online

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

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Counting games - years 1 and 2

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. ...

Online

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.

Online

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.

Online

Area and perimeter: Year 4 – planning tool

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.

Online

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.

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.

Online

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.

Online

MoneySmart: How much love can fit into a shoebox?

This is a year 4 mathematics unit of work about preparing a 'shoebox of love', a gift-filled shoebox to be sent to a child in need. The unit is intended to take about 11 hours of teaching and learning time. It consists of an introduction, seven student activities and teacher notes on curriculum, pedagogy and assessment. ...

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Taronga Zoo - Wild Australia: iPad app

This iPad app is designed for Stage 2 students to use while on excursion in the Wild Australia area in Taronga Zoo Sydney and at the Taronga Western Plains Zoo, Dubbo. Students create a field report from observations and can email and review their editable summary poster for further study back at school. The app has intuitive ...

Online

MoneySmart: The house of needs and wants

This is a unit of work integrating aspects of the mathematics, English and science curriculums around planning a school breakfast. The unit was written for year 3 and is intended to take about 12 hours. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities ...

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Introducing algorithms

In this sequence of lessons, students design a sequence of steps for others to follow. They convey their instructions to peers and evaluate the work of others to determine if the outcome was successful.