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Listed under:  Mathematics  >  Geometry  >  Transformation (Geometry)
Teacher resource

TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

This is a 41-page guide for teachers. It contains an introduction to scale drawings and similarity, and in particular the tests for triangles to be considered similar. Applications of similarity are included throughout the module.

Tablet friendly (Interactive resource)

Shape overlays: picture studio

Position two simple shapes to form an overlap, then cut out that new shape. For example, lay a rectangle over a circle to make a semicircle. Make several shapes. Rotate the shapes and move them around to make pictures. Build a new picture or match an existing picture such as a fish or a truck.

Interactive resource

Shape sorter: more shapes

Help sort single shapes, or pairs of shapes, in the shape factory. Examine examples of shapes that belong in the Yes set. Examine examples of shapes that do not belong in the set. Work out what features of the shapes are important and test your ideas by sorting some shapes. Then program the robot and see if it sorts the ...

Interactive Resource

BBC Bitesize: transformations

In this interactive resource, students are introduced through a series of graphics to congruence and transformations of plane shapes including translation, reflection and rotation. Students are presented with questions to answer and have access to a multiple-choice test to assess their learning. This resource is one of ...


BBC Bitesize: transformations - revision

This is a set of illustrated information sheets with a focus on congruence and transformations. Examples with answers are included and students have access to multiple-choice questions to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

Interactive Resource

BBC Bitesize: symmetry

This interactive resource introduces line and rotational symmetry using animated graphics and a voice-over. Students are given diagrams and asked for the number of lines of symmetry or order of rotational symmetry, with the correct answers being illustrated on the diagrams. Students may opt to do the review activity or ...


BBC Bitesize: symmetry - revision

These information sheets define line symmetry and rotational symmetry using animated graphics. Students are asked for the order of rotational symmetry of four shapes. Animated answers are provided. This resource is one of a series of online resources from the BBC's Bitesize collection.


Symmetry and pattern: the art of oriental carpets

This resource is a website about the study of symmetry through analysing patterns in oriental carpets. It presents a gallery of different oriental rugs. Details about the patterns in each rug can be accessed by selecting the image of the rug or the key below the images. There are links to pages that explain symmetry and ...

Moving Image

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'!

Moving Image

Mapping the sea floor

Hydrographers chart the seabed and coastline, giving ships a map to help them avoid running into underwater trouble. Use this clip as a context for exploring the mapping of the sea floor. Think about scale and how to indicate different depths using contour lines.

Moving Image

The symmetry of shapes

Does a parallelogram have a line of symmetry? Some shapes do: they have an equal shape on both sides of this line. Work through examples of different shapes. Which ones will have at least one line of symmetry (reflective symmetry)? See how you can reflect a shape along its line of symmetry to draw the missing half of the ...

Interactive resource

Shape sorter: wand tool

Examine examples of single shapes. Use the Wand tool to compare the sides, right angles and lines of symmetry for each shape, to work out its features. This learning object is one in a series of nine objects.

Interactive resource

Shape sorter: modify tool

Examine examples of pairs of shapes. Use the Modify tool to rotate, enlarge, reduce and flip each shape in a pair, to work out its features. This learning object is one in a series of nine objects.

Interactive resource

Congruent triangles

Find out about congruent and non-congruent triangles and the conditions required to make them. Use line segments and angles to build two congruent triangles for three different combinations of sides and angles. Explore the SSS case (side, side, side), the SAS case (two sides and the included angle) and the ASA case (two ...

Assessment resource

Shape maker: simple shapes: assessment

Test your understanding of how the transformations of spinning and extruding can change some of the most basic 2D shapes (such as squares, triangles and circles) into various 3D shapes, such as cylinders, cones and different prisms. Visualise the effect of a particular transformation on a selected 2D shape. Predict whether ...

Teacher resource

TIMES Module 26: Measurement and Geometry: circle geometry - teacher guide

This is a 44-page guide for teachers. It contains theorems on chords, arcs, angles and secants associated with circles.

Teacher resource

reSolve: Transformations - Frieze patterns

This sequence of three lessons explores transformation and symmetry by engaging students in the design of friezes. Students are introduced to simple friezes, how reflections, rotations and translations are combined to create design elements, explore real frieze examples from furnishings in Parliament House and tyres, then ...

Teacher resource

reSolve: Reasoning With 2D Shapes

This sequence of three lessons explores shape properties and skills in manipulating shapes using transformations. Students create two-dimensional shapes by joining pins on a circular geoboard, explore the different shapes that can be made by joining together a set number of identical equilateral triangles and investigate ...

Teacher resource

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 ...

Interactive resource

EagleCat: parabola

Explore the graphs of quadratic equations in two forms: (a) the turning point form, y = a(x – h)² + k, and (b) the intercept form, y = (x – a)(x – b). Observe changes to the turning point and the shape of parabolic graphs through various transformations. Alternately, change the equation and observe changes in the x-intercepts ...