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'!

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.

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).

Text

Prisms and pyramids - years 5 and 6

This is a website providing four activities to develop students' familiarity with three-dimensional shapes, in particular prisms and pyramids. The resource focuses on assisting students to use geometrical language to describe prisms and pyramids, understand their properties and construct geometrical models. The activities ...

Interactive

Area of a parallelogram

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

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

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.

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 ...

Interactive

Syllabus bites – Cartesian coordinate system

This Bite is an introduction to the history, terminology, components and use of the Cartesian coordinate system. After completing the resource, students can proceed to six related Syllabus bites modules focusing on transformations on the Cartesian plane.

Interactive

Numeracy wrap: Calculating volume

In this resource students find the relationship between, length, width (or breadth), height and volume of rectangular prisms, calculate the volume of rectangular prisms and investigate cubic metres

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

Cartesian planes

This resource is designed to support student learning in Stage 3 Mathematics. It provides an interactive introduction to the Cartesian plane, its components and the use of Cartesian coordinates.

Interactive

The Numberline

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

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 – number for primary

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

Interactive

Understanding Rotation

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

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

Sites2See – measurement for primary

Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

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).

Video

Axial Symmetry

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