Mathematics / Year 7 / Measurement and Geometry / Location and transformation

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

Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries (ACMMG181)

Elaborations
  • describing patterns and investigating different ways to produce the same transformation such as using two successive reflections to provide the same result as a translation
  • experimenting with, creating and re-creating patterns using combinations of reflections and rotations using digital technologies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Transformation (Geometry),  Cartesian planes

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Year level 7-8
Resource type
Learning area Mathematics
Interactive resource

Exploring transformations

Explore transformations of shapes such as rotation, translation or reflection. Identify which transformations have been applied to circles and polygons to produce new images. For example, the original image may have been rotated 90 degrees around the point (0,0). Notice how the coordinates of the transformed image are related ...

Interactive resource

EagleCat: rotasym

Explore rotational symmetry. Observe how many times a shape will fit exactly into itself as it is rotated through 360° about its centre. Explore rotational symmetry in numbers, letters, regular polygons and other shapes. Relate the order of symmetry to the factors of 360°.

Interactive Resource

Rotational Transformations

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

Interactive Resource

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.

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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. ...

Interactive Resource

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 Resource

Syllabus bites – turbo turning

The fourth in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers rotation of points.

Interactive Resource

Syllabus bites – frenzied flipping

This is the second in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers reflection of points.

Interactive Resource

Syllabus bites – speedy sliding

This is the first in a series of Syllabus bites related to transformations on the Cartesian plane aimed at Stage 4 Mathematics. Students find the coordinates of image points after translation. In doing so, they develop fluency in using coordinates and familiarity with the Cartesian plane, providing a basis for the investigations ...

Teacher resource

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 ...

Teacher resource

Properties of polygons - unit of work

This unit of work develops students’ understanding of polygons.

Interactive Resource

Simple coordinates game

This is an interactive resource about plotting and identifying points on the Cartesian plane. The resource can be used in one of two modes. In the View mode, the student can enter the coordinates, and the corresponding point is identified on the coordinate plane when the 'Plot' button is selected. In the Guess mode, the ...

Teacher resource

Places for polygons - unit of work

This unit of work investigates the geometric properties of buildings to develop students’ understanding of polygons.

Interactive Resource

Cartesian plane

An animated introduction to the Cartesian plane, its components and the use of Cartesian coordinates. An interactive quiz is included.

Interactive Resource

Planes of Symmetry

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

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BBC Bitesize: 2-D shapes - revision

This is a collection of information sheets on the geometrical properties of special quadrilaterals and 2-D representations of 3-D shapes. Students have access to a multiple-choice test to assess their knowledge of quadrilaterals and representations of 3-D shapes. This resource is one of a series of online resources from ...

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Symmetry and pattern: the art of oriental carpets

This resource is a website about the study of symmetry through analysing patterns in oriental carpets. It presents a gallery of different oriental rugs. Details about the patterns in each rug can be accessed by selecting the image of the rug or the key below the images. There are links to pages that explain symmetry and ...

Teacher resource

The Cartesian plane and plotting points

This is a website designed for both teachers and students that addresses plotting points on the Cartesian plane from the Australian Curriculum for year 7 students. It contains material on plotting points from data in tables and finding rules. There are pages for both teachers and students. The student pages contain interactive ...

Teacher resource

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. ...

Teacher resource

Starting Smart: how are shapes and objects related?

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' understanding of geometrical language and spatial relationships. Students use concrete materials and interactive geometry software packages to compare and describe geometrical attributes and investigate ...

Teacher resource

Starting Smart: what are the properties of shapes and objects?

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend and develop students' knowledge, understanding and application of circles, polygons and 3-D shapes. Students use interactive geometry software packages to define and construct circles and polygons from minimum ...