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

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

Video

Catalyst: 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'!

Online

Transformation: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Transformation. Students continue to develop their understanding and skills in transformations including reflections (flips), translations (slides) and rotations (turns).

Downloadable

Change course

Students identify transformations, and rotational and line symmetry, in regular and irregular polygons, and use transformations and symmetry to make a tessellating shape.

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 ...

Text

Tessellating tiles

In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

Interactive

Nets of three-dimensional solids

This is a five-page HTML resource about solving problems with nets of three-dimensional solids. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems with nets of three-dimensional solids to reinforce students' understanding.

Interactive

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Video

Triangle Types

An interactive applet in which students classify triangles as isosceles, scalene and equilateral.

Online

Taronga Zoo - Rainforest heroes: iPad app

This iPad app provides an experience of Taronga Zoo's stunning Wild Asia rainforest trail. Guided by volunteer researcher Heidi Greentree and a GPS map, students create a PDF field report using the photographs they have taken, observations made and information collected. This can be emailed for further research and discussion ...

Interactive

Sites2See: Space and Geometry for Primary

Selected links to online resources that can support the teaching and learning of geometry for primary-aged students.

Interactive

Understanding Rotation

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

Interactive

Numeracy wrap: The long and the short

In this resource students measure objects of different length in centimetres and millimetres, order lengths from shortest to longest, convert between millimetres, centimetres, metres and kilometres.

Interactive

Area of a triangle

This is a Geogebra activity used to teach the area of a triangle. Suitable for use with an interactive whiteboard (IWB).

Interactive

Numeracy wrap: Round the outside

In this resource students will calculate the perimeter of different shapes, choose the appropriate measuring device, make different shapes from given perimeters

Interactive

Solids

An interactive tutorial about types of solids and the components of simple solids.

Online

Construction of prisms and pyramids

This is a website designed for both teachers and students that refers to the construction of prisms and pyramids from the Australian Curriculum for year 6 students. It contains material on prisms and pyramids including their properties and their construction from nets. There are pages for both teachers and students. The ...

Online

Volume and its units of measurement

This is a website designed for both teachers and students that refers to the study of volume and capacity and their units. It contains material on finding the volume of rectangular prisms, the units of volume and capacity, and understanding the connection between volume and capacity. There are pages for both teachers and ...

Interactive

Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

Interactive

The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals