Mathematics / Year 5 / Measurement and Geometry / Location and transformation

Curriculum content descriptions

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114)

Elaborations
  • identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
  • identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Translation (Geometry),  Reflection (Geometry),  Rotation

Video

MathXplosion, Ep 42: Maths in nature

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

Video

MathXplosion, Ep 34: Kite symmetry

Unfurl the secret of symmetry used in kites to make them fly! A kite in geometry looks a lot like a kite in the sky. We see that a kite is a special quadrilateral in which one of its two diagonals (long and short) is also its axis of symmetry, and if you fold the kite along that diagonal, the two halves will match up exactly ...

Interactive

Photo hunt: level 4

Explore visual perspectives of solids such as cylinders, spheres, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rotate the scene until the view matches the original photo. The solids in the ...

Online

reSolve: Transformations - Frieze patterns

This sequence of three lessons explores transformation and symmetry by engaging students in the design of friezes. Students are introduced to simple friezes, how reflections, rotations and translations are combined to create design elements, explore real frieze examples from furnishings in Parliament House and tyres, then ...

Text

Evacuation robot

This set of learning activities challenges students to design an evacuation route and program a robot to safely guide students from their classroom to a muster point in the event of an emergency. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student ...

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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 A – Unit 12

This 2-week unit introduces the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world.

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

This unit introduces the big idea that what needs to be measured determines the unit of measurement.

Downloadable

Supersize it

Students transform and enlarge shapes using a grid.

Online

Transformation: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Transformation. Students develop their understanding and skills in transformations including reflections (flips), translations (slides) and rotations (turns). Students investigate reflection symmetry.

Video

Mixed Up Maths, Ep 7: Daredevil geometry

What does a daredevil jumps rider need to know about geometry? Find out as we discover angles for take off and for landing. But before we do that sit down for some angles basics! A good place to start is angles of turn through a circle from a 1/4, 1/2, 3/4, all the way to one full turn. See how many each represents as an angle.

Video

For the Juniors: Drawing a floor plan

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

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.

Online

Angles - measurement, construction, estimation

This is a website designed for teachers and students in year 5, and addresses the topic of angles. It contains material on the vocabulary used when dealing with angles, and introduces the measurement and construction of angles using a protractor. There are pages for both teachers and students. The student pages contain ...

Interactive

Angle estimator

This is an interactive resource containing two activities about estimating and measuring angles. In the angle estimation activity, users can select acute, obtuse or reflex angles, or any angle between zero and 360 degrees. In the angle drag activity, one arm of the angle can be dragged to rotate around the vertex, creating ...

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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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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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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 ...