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'!

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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.

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).

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.

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What needs to be measured determines the unit of measurement Multi-age 3–6 Year B – Unit 14

This 2-week unit unit develops the big idea that what needs to be measured determines the unit of measurement. Students are provided opportunities to: interpret commonly used fractions of a kilogram and relate these to the number of grams; select and use appropriate units to estimate, measure, compare and record lengths ...

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Angles are the primary structural component of many shapes Multi-age 3–6 Year B – Unit 10

This 2-week unit unit develops the big idea that angles are the primary structural component of many shapes. Students are provided opportunities to: measure, compare and sequence events by halving and quartering blocks of time; represent fractional quantities of time and the multiplicative relationships; estimate and describe ...

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Visual representations help understand aspects of our world (chance and position) Multi-age 3–6 Year B – Unit 8

This 2-week unit unit develops the big idea that visual representations help us understand aspects of our world. Students are provided opportunities to: use directional language to interpret and locate positions on a grid map; predict and describe possible outcomes from chance experiments; use visualisation, language and ...

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Fractions represent multiple ideas and can be represented in different ways Multi-age 3–6 Year B – Unit 4

This 2-week unit unit develops the big idea that fractions represent multiple ideas and can be represented in different ways. Students are provided opportunities to: partition, measure, label and compare lengths and wholes using fractions; solve problems with fractions; represent and compare fractions of measures and quantities; ...

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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world Multi-age 3–6 Year B – Unit 12

This 2-week unit unit develops the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world. Students are provided opportunities to: combine and split common shapes; transform two-dimensional and composite figures by reflecting, translating, and rotating; ...

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What needs to be measured determines the unit of measurement Multi-age 3–6 Year B – Unit 9

This 2-week unit unit develops the big idea that what needs to be measured determines the unit of measurement. Students are provided opportunities to: compare and describe features of three-dimensional objects by making and exploring models, sketches and diagrams; construct and draw models from given views; use formal units ...

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What needs to be measured determines the unit of measurement Multi-age 3–6 Year B – Unit 3

This 2-week unit unit develops the big idea that what needs to be measured determines the unit of measurement. Students are provided opportunities to: measure and compare lengths of objects and locations using kilometres, metres, centimetres and millimetres; identify and measure the perimeter of shapes, objects and locations; ...

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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 ...

Downloadable

First steps in mathematics: Measurement – Book 1

The content of this book is organised into topics including understanding units, and direct measuring.

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Sustainability

Use this sequence of 5 lessons to connect the cross-curriculum priority of Sustainability with Number, Measurement and Statistics. Helping us see the connection between our everyday actions and the larger environmental impact is important for sustainable use of resources. Use the context of water use to learn about the ...

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Spotlight On Survival: Animal Communities in an Arid Environment

This series of activities focus on animal survival in arid environments, where ecosystems are subjected to extremes in temperature and the availability of water. Students investigate the effects of patterns or rainfall and drought on the ecology and consider other challenges such as the impact of feral species or human ...

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

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

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

Sites2See – measurement for primary

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