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

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.

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'!

Video

MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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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.

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Hologram poetry lesson

In this lesson, students are asked to present a poem as a visual illusion. They explore holograms and visual illusions, and then delve into the mechanics of poetry construction by exploring the poetry of Banjo Paterson. They write their own poem or recite a poem and create a hologram illusion of themselves reciting a poem. ...

Online

Shapes and objects: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Shapes and objects. Students describe the properties of 2D shapes and use this knowledge to build objects from their nets and, identify objects from their nets.

Video

Area and perimeter video

Use this video to connect area and perimeter to real world applications to set the context for why we are learning about area and perimeter.

Online

Angles and parallel lines: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Angles and parallel lines. Students explore angles on a straight line and angles within shapes. They identify the relationships between angles and use these to determine unknown angles and describe their reasoning. Students should be familiar with 90° and 180° angles, ...

Downloadable

Assessment tasks: metric units and relationship to decimals

Use the diagnostic tasks, Page sections and Decimals and measures, to assess a student’s understanding of metric units and their relationship to decimals.

Downloadable

Geometry: Foundation to Year 9

This comprehensive resource describes the progression of geometric reasoning. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in geometry including teaching and cultural implications.

Downloadable

Measurement: Foundation to Year 9

This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement including teaching and cultural implications.

Downloadable

The coloured cube

Use this task to reveal if the student can see in their ‘mind’s eye’ the transformation from a 2D net to a 3D object.

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Work sample Year 6 Mathematics: How tall?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Online

Finding Farms

This is a teacher resource containing a series of inquiry teaching sequences about life on farms in Australia. It contains material to assist the planning, implementing and assessing a study of five primary industry sectors involved in food and fibre production. The tasks in this resource are based around illustrated maps ...

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.

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 ...

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.

Video

Axial Symmetry

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