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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 ...

Text

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 ...

Online

Construction of prisms and pyramids

This is a website designed for both teachers and students that refers to the construction of prisms and pyramids from the Australian Curriculum for year 6 students. It contains material on prisms and pyramids including their properties and their construction from nets. There are pages for both teachers and students. The ...

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

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?

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.

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 ...

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 ...

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.

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.

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 ...

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 ...

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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

Surface area and volume of prisms and cylinders

This is a website designed for both teachers and students, which addresses the surface area and volume of prisms and cylinders from the Australian Curriculum for year 9 students. It contains material on calculating the surface area and volume of prisms and cylinders. There are pages for both teachers and students. The student ...

Online

TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

Online

TIMES Module 10: Measurement and Geometry: introduction to measurement - teacher guide

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of measurement, and introduces the measurement of length, area, volume and time.

Online

Volumes of prisms

This is a website designed for both teachers and students that refers to volumes of prisms and using formulas to find the volumes of prisms. It contains material on rectangular and triangular prisms and finding the volumes of these by using formulas. There are pages for both teachers and students. The student pages contain ...

Online

Geometric drawing including representation of simple solids

This is a website designed for both teachers and students that refers to the drawing of solids from the Australian Curriculum for year 7 students. It contains material on cross-sections of prisms and includes information regarding views, elevations and isometric drawings. There are pages for both teachers and students. ...

Online

Delivering water

This is a mathematics unit of work about water: its world-wide availability and use; the time spent carrying it; the best shape for water tanks; and the area of land taken up around tanks and in paths and ditches to water sources. Intended for years 9 and 10 and written from a global education perspective, the resource ...