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

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

Video

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Secondary mathematics: different representations

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Interactive

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

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

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.

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. ...

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.

Interactive

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 ...

Online

Transformation: Year 7 – planning tool

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.

Online

Patterns, rules and graphs

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 ...

Downloadable

How many in the queue?

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

Video

Maths inside bees and beehives

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What are pixels?

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MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

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MathXplosion, Ep 10: What is the strongest shape?

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MathXplosion, Ep 33: On the grid

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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Working out the areas

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Comparing fuel consumption

Is it more fuel efficient to drive or fly between two places? Watch this clip and learn how to calculate the answer. What are the various factors that need to be taken into account? This video was made using the American measurement of gallons per hour, American firgures for the average number of passengers in a car and ...