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.

Text

Location Year 5 & 6 - Calculate

The focus of this activity is for students demonstrate a systematic approach to trialing and recording possible solutions. Students are encouraged to explain the method they used, compare solutions and prove they have found all the possible solutions.

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).

Video

Spiral away with Fibonacci

Do you know the Fibonacci sequence? Learn how to draw a cool spiral as Vi Hart shows you an easy way. See how a spiral is an example of Fibonacci numbers. Vi shows examples of spirals from nature. You might be surprised at some of her examples! This is the first in a series.

Video

ABC News: Mapping a sea voyage: calculating distance

Scientists involved in the Two Bays Project describe data collection methods for their 20-day expedition around Port Phillip and Western Port bays. Watch this clip to view the route mapped out by the scientists. Use Google Maps to recreate the route and calculate the total distance travelled.

Online

MoneySmart: It's raining cats and dogs...and chickens?

This is a year 6 mathematics unit of work about keeping pets. The unit is intended to take about 12 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, seven sets of student activities, and teacher notes. The student activities include building a word ...

Online

reSolve: Directed number

This sequence of two lessons explores directed numbers in real world situations and games, abstracting understanding to applications using the number line. In the first lesson, students develop their understanding of directed numbers by engaging in a game involving hotel elevator floors, in the second lesson students represent ...

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Downloadable

Drone safety lesson: How close, how far?

This lesson provides an authentic context to develop skills of estimation and measuring length. It provides an opportunity for students to connect decimal representations to the metric system and convert from centimetres to metres, and metres to kilometres. It also provides a context to investigate and become familiar with ...

Online

Position and location: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Position and location. Students locate and describe the position of objects using coordinates on the Cartesian plane in all four quadrants.

Downloadable

First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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Adaptive Speciation of Honeybees - Calculate

Using the example of the humble honey bee, this integrated Science and Mathematics unit illustrates the way in which speciation occurs in nature and explains how living things adapt to survive in their environment. In doing so, the unit describes the nature of simple multiplicative number sequences and how simple algebraic ...

Text

Space Race Game (Introducing Algorithmic Thinking) - Calculate

Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

Text

The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

Text

Event Planner - Calculate

This investigative project gives students the experience of being a professional ‘event planner’, by organising a special event such as a wedding reception, farewell or special birthday party. Students are asked to prepare a comprehensive plan that outlines a floor and seating plan, a fully costed menu, a monetary quote ...

Text

Nets, shapes … and donuts!

In this lesson, students learn about industrial engineering and explore designing cardboard packaging nets that can be folded into innovative packages.

Online

Introducing the Cartesian coordinate system

This is a website designed for both teachers and students that refers to the Cartesian coordinate system from the Australian Curriculum for year 6 students. It contains material on the Cartesian plane and includes plotting points and determining coordinates of points shown on a grid. There are pages for both teachers and ...

Interactive

Understanding Rotation

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

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).