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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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Video

MathXplosion, Ep 42: Maths in nature

  • TLF-IDM024998

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

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Online

reSolve: Authentic Problems: Expanded Square

  • TLF-IDM024876

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 ...

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Text

Making maths: Indian window screen

  • TLF-IDM013656

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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Text

Making maths: Rangoli designs

  • TLF-IDM013657

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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Online

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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Downloadable

Line of symmetry

  • TLF-IDA003555

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

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Interactive

Cassowary ecology quiz

  • TLF-IDL119

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

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Online

Primary mathematics: games, simulations and modelling

  • TLF-IDS4969

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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Online

reSolve: Measurement - Parcel in the Post

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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 ...

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Video

For the Juniors: Drawing a floor plan

  • TLF-IDM015824

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

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Video

Odd and even numbers

  • TLF-IDM021401

Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.

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Video

What is a fractal?

  • TLF-IDM021126

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

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Video

Graphing

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Graphs can be used to illustrate the relationship between two variables. Watch this fun animation from NASA to learn the basics of graphing.

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Video

Mixed Up Maths, Ep 1: Monumental measurement mess ups

  • TLF-IDM018749

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

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Online

Programming projects

  • TLF-IDM021734

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.

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Interactive

Area explorer

  • TLF-IDM012001

This is an interactive resource about calculating the area of a shape presented on a grid. Students are presented with a random figure and are required to calculate its area, in square units. Immediate feedback is provided and the student can make repeated attempts if a question is not answered correctly. The additional ...

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Video

MathXplosion, Ep 33: On the grid

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Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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Video

Mixed Up Maths, Ep 13: Shapes glorious shapes

  • TLF-IDM018741

Did you know that not all pyramids have a square base? Investigate the bases and faces of some pyramids. Travel around the world as we view some famous structures. First stop, we're in search of a building that is a rectangular prism. Find out which world famous building is a pentagonal prism. See what type of 3 dimensional ...

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Video

Exploring mysterious shapes

  • TLF-IDM021134

Join QuanQuan and Jenny as they explore some weird and wonderful shapes! While watching this clip, think about the sides, edges, surfaces and volumes of the shapes that are demonstrated. How are these shapes different from regular 2D and 3D forms?

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Video

Fun with fractals

  • TLF-IDM021131

Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?

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