Mathematics / Year 5 / Measurement and Geometry / Location and transformation

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

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114)

Elaborations
  • identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
  • identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Translation (Geometry),  Reflection (Geometry),  Rotation

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Year level 5-6
Resource type
Learning area Mathematics
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.

Moving Image

Symmetry

This is a short colourful animation with a voiceover that explains the concept of symmetry to primary-level students by using visual examples and a counter-example. The resource also provides a practical test for checking whether a two-dimensional object drawn on paper and cut out is symmetrical or not. Technical terms ...

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

EagleCat: rotasym

Explore rotational symmetry. Observe how many times a shape will fit exactly into itself as it is rotated through 360° about its centre. Explore rotational symmetry in numbers, letters, regular polygons and other shapes. Relate the order of symmetry to the factors of 360°.

Interactive resource

Shape sorter: basic shapes: pairs

Help sort pairs of shapes in the Shape factory. Examine examples of basic shapes that belong in the Yes set. Examine examples of basic 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 shapes ...

Interactive resource

Shape sorter: basic shapes

Help sort single shapes, or pairs of shapes, in the shape factory. Examine examples of basic shapes that belong in the Yes set. Examine examples of basic 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 ...

Interactive Resource

Planes of Symmetry

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

Tablet friendly (Interactive resource)

Photo hunt: level 4

Explore visual perspectives of solids such as cylinders, spheres, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rotate the scene until the view matches the original photo. The solids in the ...

Interactive Resource

Understanding Rotation

A simple, animated introduction to rotation of geometric shapes, with an interactive quiz.

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: basic shapes: singles

Help sort single shapes in the Shape factory. Examine examples of basic shapes that belong in the Yes set. Examine examples of basic 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 shapes correctly. ...

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 ...

Interactive Resource

Geoboard

This iPad app is a tool to create line segments, vertices and polygons using coloured bands on a pegboard. There are two board sizes - a standard 25-peg board and a 150-peg board that allows a greater number and diversity of configurations. The bands come in eight colours and the shapes created can be filled with a transparent ...

Image

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 ...

MovingImage

Axial Symmetry

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

Interactive Resource

Geoboard, by Numberkiz - iTunes app

Create all sorts of polygons and explore their properties using a virtual geoboard. Fill in shapes with colour. Duplicate shapes, move, flip or rotate them. Snap the grid lines to work out the area of shapes. Import a photo as a background. Free when reviewed on 12/5/2015.

Assessment resource

Toby jigsaw puzzle: assessment

Test your ability to complete a 2D jigsaw puzzle of twelve pieces. Look carefully at a photo of a puppy, then reassemble the picture by moving puzzle pieces and rotating them if necessary. Complete the puzzle in the fastest possible time, the least number of moves and without looking at the reference picture.

Interactive resource

Viewfinder: flip side [ESL]

Explore visual perspectives of solids such as cylinders, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rearrange the objects on a base grid until the view matches the original photo. The original ...

Interactive Resource

Rotational Transformations

An animated tutorial, describing the process of drawing the resulting image after rotation of a triangle, followed by an interactive quiz.

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.

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 ...

Interactive resource

Viewfinder: all angles [ESL]

Explore visual perspectives of solids such as cylinders, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rearrange the objects on a base grid until the view matches the original photo. One of ...

Interactive resource

Viewfinder: all angles [Flash Player version]

Explore visual perspectives of solids such as cylinders, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rearrange the objects on a base grid until the view matches the original photo. One of ...

Interactive resource

Viewfinder [Flash player version]

Explore visual perspectives of solids such as cylinders, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rearrange the objects on a base grid until the view matches the original photo. Progress ...

Interactive resource

Contours: mystery shapes [Flash Player version]

Look at how contour lines are used on maps to represent the shape of landforms. Compare side and top views of geometrical objects such as a cone and a hemisphere. Examine geometrical objects on a 3D landscape. Place contours of geometrical objects on a map to match a 3D landscape. This learning object is one in a series ...

Text

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

Viewfinder: flip side [Flash Player version]

Explore visual perspectives of solids such as cylinders, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rearrange the objects on a base grid until the view matches the original photo. The original ...