Close message Scootle has stopped supporting resources that use the Adobe Flash plug-in from 18 Dec 2020. Learning paths that include these resources will have alerts to notify teachers and students that one or more of the resources will be unavailable. Click here for more info.

Mathematics / Year 4 / Measurement and Geometry / Location and transformation

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091)

Elaborations
  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and symmetry in Yolngu or Central and Western Desert art
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Symmetry

Video

Maths in nature

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).

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 ...

Text

Making maths: Indian window screen

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 ...

Text

Making maths: Rangoli designs

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 ...

Interactive

Symmetry

An animated tutorial about types of polygons and their line symmetries, followed by an interactive quiz.

Text

Draw an egg

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 ...

Online

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' 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 investigations in order ...

Video

What is a fractal?

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 ...

Video

Measuring our coastline

How long is the Australian coastline? See Dr Derek Muller and Simon Pampena discussing the perimeter of the Australian coastline. Find out how the accuracy of that measurement depends on the length of the 'measuring stick' used. They discuss how a coastline is much like a fractal such as 'Koch's Snowflake'!

Video

Fun with fractals

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?

Text

Giant hole: climb through a hole in a sheet of paper

This teaching resource outlines an activity for students to explore the relationship between the area and perimeter of a shape, by using a series of cuts in a piece of paper to create a hole large enough to step through. The resource includes detailed instructions for creating the cuts in the paper, an explanation of how ...

Interactive

Planes of Symmetry

An animated tutorial demonstrating planes of symmetry of solids. An interactive quiz is included.

Video

Kite symmetry

Unfurl the secret of symmetry used in kites to make them fly! A kite in geometry looks a lot like a kite in the sky. We see that a kite is a special quadrilateral in which one of its two diagonals (long and short) is also its axis of symmetry, and if you fold the kite along that diagonal, the two halves will match up exactly ...

Online

reSolve: Reasoning With 3D Objects

This sequence of lessons explores symmetry and three dimensional objects. Students interpret and represent three-dimensional objects in two dimensions and apply their knowledge of transformations to show congruency or difference between objects. The lessons are outlined in detail including curriculum links, vocabulary, ...

Video

Axial Symmetry

An interactive applet in which students explore the effect of reflection in a variety of axes.

Video

Day in the life of a meteorologist

Have you ever wondered what it would be like to be a weather scientist (meteorologist)? In this clip, weather man Mark Wilgar describes a typical work day that begins very early in the morning! Find out what's involved in gathering and communicating weather information, and discover what Mark sees as the rewards of his job.

Interactive

Light and shadows

Look at how a tree makes a shadow during a sunny day. Notice that objects always casts shadows that face away from the Sun. Examine how the shape and position of a shadow is related to the time of day and position of the Sun. Explore the shadows cast by different objects such as a bike, an umbrella and a child. Position ...

Online

Weather observation: datasets

This website contains datasets for weather including humidity, water temperature, winds and air pressure collected at marine sites. The collection points are displayed on an interactive coloured map. Historical weather data are available. Graphs can be created and downloaded. The page also contains links to web cameras ...

Video

Keeping cool in hot weather

Have you ever wondered why your face turns red when you run around? Discover what's going on under your skin when this happens, and how this helps you keep cool. See some of the clever ways that animals keep cool, too.

Text

What is a Bureau station?

This resource is a Bureau of Meteorology (BOM) web page with information about the history, purpose and operations of Bureau stations, and an explanation of the different types of station, from fully-staffed stations measuring all weather elements to stations with only remote rainfall-recording instruments. Some stations ...