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Mathematics / Year 5 / Measurement and Geometry / Shape

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111)

Elaborations
  • identifying the shape and relative position of each face of a solid to determine the net of the solid, including that of prisms and pyramids
  • representing two-dimensional shapes such as photographs, sketches and images created by digital technologies
General capabilities
  • Numeracy Numeracy
ScOT terms

Solids (Geometry),  Translation (Geometry),  Nets (Geometry)

Video

Mapping the sea floor

Hydrographers chart the seabed and coastline, giving ships a map to help them avoid running into underwater trouble. Use this clip as a context for exploring the mapping of the sea floor. Think about scale and how to indicate different depths using contour lines.

Video

Shapes glorious shapes

Did you know that not all pyramids have a square base? Investigate the bases and faces of some pyramids. Travel around the world as we view some famous structures. First stop, we're in search of a building that is a rectangular prism. Find out which world famous building is a pentagonal prism. See what type of 3 dimensional ...

Video

Exploring mysterious shapes

Join QuanQuan and Jenny as they explore some weird and wonderful shapes! While watching this clip, think about the sides, edges, surfaces and volumes of the shapes that are demonstrated. How are these shapes different from regular 2D and 3D forms?

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The Third Dimension

This resource is a web page containing a drawing task to explore help visualise 3-D objects. Draw an arrangement of cubes on isometric paper which gives us a way of drawing 3D objects more easily. A link to downloadable isometric paper is also provided. This resource is an activity from the NRICH website.

Online

reSolve: Bifold Boxes

This lesson challenges students to use proportional reasoning to explain how changing the size of a square will affect the size of a box folded from that square. Students fold an origami box from a square of paper and record the dimensions of the resulting box. They then fold a box from a square of paper four times the ...

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Prisms and pyramids - years 5 and 6

This is a website providing four activities to develop students' familiarity with three-dimensional shapes, in particular prisms and pyramids. The resource focuses on assisting students to use geometrical language to describe prisms and pyramids, understand their properties and construct geometrical models. The activities ...

Interactive

Planes of Symmetry

An animated tutorial demonstrating planes of symmetry of solids. An interactive quiz is included.

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Skeleton Shapes

This resource is a web page containing a practical task to model 3-D objects. The task suggests the use of straws and modelling clay or similar material to create a model of firstly a cube and next other 3-D objects. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

Video

How to make an origami frog

Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry. Use these patterns to turn a two-dimensional flat sheet of paper into a three-dimensional hopping frog!

Interactive

Face painter: finding faces 1

Identify polygons on a range of prisms and polyhedra such as a cube, square pyramid or triangular prism. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to see all of its faces. Paint each face of a given shape such as a triangle or rectangle.

Online

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

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 ...

Image

Indigenous Australians using fire to hunt kangaroos, c1817

This is a watercolour, measuring 17.5 cm x 27.8 cm, created by Joseph Lycett in about 1817. It depicts Indigenous Australians using fire to flush out kangaroos in order to hunt them. One man is ready to throw a spear using a woomera (spear thrower) and another has his arm raised to throw a boomerang. In the background, ...

Image

Diphtheria ward of the Melbourne Hospital, Christmas 1900

This is a black-and-white photograph taken in the grounds of the Melbourne Hospital on Christmas Day, 1900. It shows children from the hospital's diphtheria ward seated in a large wicker pushcart. Two nurses, one of whom holds an infant, stand behind the children. On the right of the photograph is a doctor. The photograph ...

Image

'The new rush', 1865

This is a coloured print, measuring 19.4 cm x 25.2 cm, by the famous colonial artist Samuel Thomas Gill (1818-80), published in 'The Australian Sketchbook' in 1865. It shows a gold rush scene, probably in Victoria, with a stream of prospectors travelling along a dirt road. Several are walking beside their horses and heavily ...

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Indigenous Australian men with weapons, c1817

This is a 17.7 cm x 27.8 cm watercolour of ten men carrying spears, spear throwers and shields as they walk along a dirt path. Some have clubs tucked into loincloths. Another group of five men can be seen further down the grassed hill.

Image

Indigenous Australians hunting kangaroos, c1817

This is a 17.7 cm x 27.7 cm watercolour of a hunter poised to throw a spear at one of a number of kangaroos; he is lying on his front behind a fallen tree, his head and chest raised and his right arm stretching back ready to throw the spear from a spear thrower. Four other hunters wait behind trees in the distance with ...

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Indigenous Australians defending their land, c1817

This is a 17.7 cm x 27.9 cm watercolour showing about 40 Indigenous Australian people attacking a rowboat carrying five colonists. Most of the warriors are on a steep, rocky headland and those close to the water have spears raised. Two appear to be picking up stones while those further up the cliff watch on. About ten Indigenous ...

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Indigenous Australians gathering seafood, c1817

This is a 17.7 cm x 28 cm watercolour of Indigenous Australian people and their canoes on the New South Wales north coast. In the foreground three people are spearing fish, while one sits on the rocks watching an underwater swimmer and a person diving off the rocks. Another person walks from the water carrying two crayfish, ...

Image

Indigenous Australians hunting in trees, c1817

This is a watercolour, measuring 27.8 cm x 17.6 cm, created by Joseph Lycett in about 1817. It features an Indigenous Australian man about 5 metres up the trunk of a eucalypt tree, with his feet and one hand in notches on the trunk. He is holding a small axe in the other hand, ready to cut another notch. Below, a man holding ...