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Mathematics / Year 7 / Measurement and Geometry / Shape

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

Draw different views of prisms and solids formed from combinations of prisms (ACMMG161)

Elaborations
  • using aerial views of buildings and other 3-D structures to visualise the structure of the building or prism
General capabilities
  • Numeracy Numeracy
ScOT terms

Transformation (Geometry),  Prisms

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.

Interactive

Surface area and volume

This is an interactive resource about investigating the surface areas and volumes of rectangular and triangular prisms. The resource can be used in one of two modes. In the Explore mode, the student can vary the height, width and depth of the prism, and the surface area and volume are calculated automatically. In the Compute ...

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. ...

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 ...

Video

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 ...

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

Shape overlays: picture studio

Position two simple shapes to form an overlap, then cut out that new shape. For example, lay a rectangle over a circle to make a semicircle. Make several shapes. Rotate the shapes and move them around to make pictures. Build a new picture or match an existing picture such as a fish or a truck.

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 ...

Image

'Fishing for upokororo', 1922

This is a black-and-white photograph of two Mäori men at work with two hïnaki (fish traps) capturing upokororo (grayling, 'Prototroctes oxyrhynchus') on the Waipu River on the east coast of the North Island in 1922. The photograph shows a low dam that has been built across the stream to divert its flow and direct the fish ...

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

Syllabus bites – mixing it up

The fifth in a series of Syllabus bites related to transformations on the Cartesian plane. This bite covers combinations (composition) of transformations.

Text

Transformations of the plane

This is a website designed for both teachers and students that introduces some transformations of the plane using coordinates in the Cartesian plane. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are discussed. Coordinates are used to describe these transformations. ...

Online

TIMES Module 13: Measurement and Geometry: construction - teacher guide

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions.

Interactive

Rotational Transformations

An animated tutorial, describing the process of drawing the resulting image after rotation of a triangle, followed by an interactive quiz.

Interactive

Syllabus bites – flipping and sliding

This is the third in a series of Syllabus bites related to transformations on the Cartesian plane. Students further their understanding of translation and reflection and explore relationships between these two transformations.

Interactive

Planes of Symmetry

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