Mathematics / Year 4 / Space

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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 or generative artificial intelligence tool to manipulate shapes and create symmetrical patterns; for example, creating tessellation patterns that are symmetrical and discussing any line or rotational symmetries
  • 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),  Computer graphics,  Line symmetry,  Patterns,  Rotational symmetry

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

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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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reSolve: Authentic Problems: Expanded Square

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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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MathXplosion, Ep 42: Maths in nature

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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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reSolve: Algebra: Triangle Inequality

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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 ...

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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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reSolve: Geometry: Trapezium Pieces

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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 ...

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Area and perimeter video

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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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For the Juniors: Drawing a floor plan

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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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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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What's the difference between a right angle and an acute angle? Find out!

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What is a fractal?

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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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Sustainable transport – sustainability action process (Years 3–6)

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This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

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MathXplosion, Ep 31: Heavy vs big

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MathXplosion, Ep 4: Tessellation tricks

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Learn how two shapes from a repeating tile cause a pattern to undergo a metamorphosis. Create the illusion of one animal slowly transforming into another, line by line. Is it a bird? Is it a fish?

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MathXplosion, Ep 45: How to make an origami frog

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Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry. Use these patterns to turn a two-dimensional flat sheet of paper into a three-dimensional hopping frog!

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Mixed Up Maths, Ep 2: High rise living

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Who is tall that you know? For a person, what height would you say is tall? In this clip we see what it means to measure the length of something compared to measuring the height of something. Find out the height of the tallest person in the world, measured in centimetres. Compare that to your own height. You'll be amazed ...

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Taronga Zoo - Wild Australia: iPad app

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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 ...

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Waste and materials – sustainability action process (Years 3–6)

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This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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