Mathematics / Year 5 / Space

Curriculum content descriptions

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries (AC9M5SP03)

Elaborations
  • understanding and explaining that translations, rotations and reflections can change the position and orientation of a shape but not the shape or size
  • using pattern blocks and paper tracing around a shape and conducting a series of a one-step transformations; continuing to trace each resulting image, then copying the original position and end position on a new sheet of paper
  • demonstrating how different combinations of transformations can produce the same resulting image
  • challenging classmates to select a combination of transformations to move from an original image to the final image, noting the different combinations by using different colours to trace images
  • investigating how animal tracks can be interpreted by First Nations Australians using the transformation of their shapes to help determine and understand animal behaviour
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Translation (Geometry),  Computer graphics,  Line symmetry,  Reflection (Geometry),  Rotation,  Rotational symmetry

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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

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 ...

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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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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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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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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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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 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; ...

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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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 ...

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

This multi-age unit develops the big idea that what needs to be measured determines the unit of measurement.

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

This 2-week unit develops the big idea that angles are the primary structural component of many shapes.