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Mathematics / Year 6 / Measurement and Geometry / Shape

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

Construct simple prisms and pyramids (ACMMG140)

Elaborations
  • considering the history and significance of pyramids from a range of cultural perspectives including those structures found in China, Korea and Indonesia
  • constructing prisms and pyramids from nets, and skeletal models
General capabilities
  • Numeracy Numeracy
ScOT terms

Prisms,  Pyramids (Polyhedrons)

Online

reSolve: Authentic Problems: Pyramids in a Box

This sequence of four lessons focuses on working with solids and their nets. The lessons provide opportunities for students to work flexibly as they construct simple prisms and pyramids from nets they have created. Students record their mathematical thinking as they work through iterations to refine a box that has the least ...

Interactive

Nets of three-dimensional solids

This is a five-page HTML resource about solving problems with nets of three-dimensional solids. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems with nets of three-dimensional solids to reinforce students' understanding.

Video

How do prisms create rainbows?

Zoom inside a glass prism and see why glass makes light bend, and how the glass molecules make different colours of light bend different amounts.

Text

Volume of a Pyramid and a Cone

This resource is a web page containing an investigative task to explore volume. Derive the formulae for the volumes of a square-based pyramid and a cone, using mathematical concepts. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

Video

2D and 3D shapes

Watch this video to learn about the features of 2D shapes. How is it different from the features of 3D shapes (solids)? Some examples of solids that incorporate 2D shapes are mentioned in this video by Sanchit - for example, a cube has six square faces. What other 3D shapes could you make that has at least one square face?

Online

reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...

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 ...

Interactive

Surface area of prisms

This is a five-page HTML resource about solving problems concerning surface areas of prisms. It contains one video and five questions, two of which are interactive. The resource discusses and explains solving problems involving determining surface areas of prisms to reinforce students' understanding.

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

Panning for gold on the Mulgrave River, c1888

This is a black-and-white photograph showing five miners prospecting for alluvial gold on the banks of the Mulgrave River in Queensland. Two of the men hold shovels and stand by a sluice, two others pan for gold and the fifth rests on a wooden wheelbarrow. Several other mining implements are in evidence - a pan, pick, shovel ...

Image

Schoolboy being vaccinated against diphtheria in Brisbane, 1940

This 1940 black-and-white photograph shows a young boy, not entirely at ease, being vaccinated against diphtheria at East Brisbane State School by the City Medical Officer of Health, Dr R Weaver. A woman dressed in white stands behind the boy and steadies his outstretched left arm for the injection. Medical implements and ...

Online

Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' 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 different representations ...

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.

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 ...

Interactive

Shape sorter: polygons

Help sort shapes, in the shape factory. Examine examples of shapes and determine if they belong in the Yes polygon set. Examine examples of shapes that do not belong in the set. Work out what features of the polygon are important and test your ideas by sorting some shapes. Then program the robot and see if it sorts the ...