Mathematics / Year 6 / Measurement and Geometry / Location and transformation

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

Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142)

Elaborations
  • designing a school or brand logo using transformation of one or more shapes
  • understanding that translations, rotations and reflections can change the position and orientation but not shape or size
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Translation (Geometry),  Reflection (Geometry),  Rotation

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

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

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 ...

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 ...

Interactive Resource

Pattern shapes, by the Math Learning Centre - iTunes app

Use this open exploration tool to explore patterns in geometry, fractions, area and perimeter by creating your own shapes or filling in shapes. Use the text tool to annotate your representations. Great for work on fractions, symmetry and area. Free when reviewed on 12/5/2015.

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'!

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.

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.

Interactive Resource

Understanding Rotation

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

Interactive resource

Building site [Flash Player version]

Look down on some building towers (a plan view). Build a street-level view of the buildings from a given perspective: front, side or back. Move on to view buildings from a corner angle; build a side view. Then build a group of blocks consistent with top and side views. Rotate the scene to check views from different angles. ...

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

Building site: level 2 [Flash Player version]

Look down at a group of buildings, including some with more than one storey. Think about which buildings could be seen by a person standing on the ground. Use coloured blocks to build a street-level view of the buildings. Build views from different perspectives: front, side or back. This learning object is one in a series ...

Interactive resource

Building site: level 3 [Flash Player version]

Look from a corner angle at a group of buildings. Think about which walls could be seen in a side view. Use marked blocks to build all four side views. Rotate the scene to check views from different angles. This learning object is one in a series of four objects that progressively increases in difficulty. The series is ...

Interactive resource

Building site: level 1 [Flash Player version]

Look down at a group of single-storey buildings. Think about which buildings could be seen by a person standing on the ground. Use coloured blocks to build a street-level view of the buildings. Build views from different perspectives: front, side or back. This learning object is one in a series of four objects that progressively ...

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

Viewfinder: backwards glance [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 ...

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: 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 ...

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

Viewfinder: up front [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. View ...