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

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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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11 direct matches to ACMMG181 | 9 other related resources
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Interactive

Syllabus bites – turbo turning

  • TLF-IDM016297

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

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Interactive

Syllabus bites – mixing it up

  • TLF-IDM016282

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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Interactive

Syllabus bites – frenzied flipping

  • TLF-IDM016513

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

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Text

Transformations of the plane

  • TLF-IDM012842

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. ...

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Interactive

Syllabus bites – flipping and sliding

  • TLF-IDM016436

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.

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Interactive

Syllabus bites – speedy sliding

  • TLF-IDM021848

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 ...

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Video

MathXplosion, Ep 34: Kite symmetry

  • TLF-IDM025006

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 ...

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Downloadable

How many in the queue?

  • TLF-IDA003533

Students use visualising and movement activities to develop an understanding of the relationship between variables.

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Online

Secondary mathematics: different representations

  • TLF-IDS4971

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 ...

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Online

Transformation: Year 7 – planning tool

  • TLF-IDA003275

This planning resource for Year 7 is for the topic of Transformation. Students describe translations, reflections and rotations and identify line (mirror) and rotational symmetries. They will extend their understanding of transformations through exploring transformations on the Cartesian plane.

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Online

Patterns, rules and graphs

  • TLF-IDA003487

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

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Video

Are plants mathematicians?

  • TLF-IDM017685

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Interactive

Simple coordinates game

  • TLF-IDM012009

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 ...

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Text

Mental computation

  • TLF-IDM012843

This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

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Online

The laws of arithmetic and their use in algebra

  • TLF-IDM014015

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

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Interactive

Renovate, Calculate!

  • TLF-IDM016724

A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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Interactive

Solids

  • TLF-IDM016622

An interactive tutorial about types of solids and the components of simple solids.

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Interactive

The Numberline

  • TLF-IDM016500

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

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Interactive

Examples of Pythagoras' Theorem Part 1

  • TLF-IDM016158

An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.

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Interactive

The Mathematical Toolkit

  • TLF-IDM016790

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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