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

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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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Secondary mathematics: different representations

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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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Interactive

Syllabus bites – speedy sliding

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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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Interactive

Syllabus bites – turbo turning

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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

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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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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

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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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Syllabus bites – frenzied flipping

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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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Downloadable

How many in the queue?

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

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Online

Transformation: Year 7 – planning tool

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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

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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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The divider: with or without remainders

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Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

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Comparing fuel consumption

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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 ...

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MathXplosion, Ep 10: What is the strongest shape?

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Are triangles really the strongest shapes ever? If so, why? Learn how and why right-angled and equilateral triangles have been used in engineering, architecture and design through the ages.

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Working out the areas

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Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

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Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

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Area of a square and a triangle

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Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.

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MathXplosion, Ep 33: On the grid

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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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Modelling climate changes

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There is a saying: 'climate is what you expect and weather is what you get'. |Understanding climate change is very difficult for most people, especially when the weather we experience is different from the information we are given by scientists about the climate changing. The difference is that weather reflects short-term ...

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

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How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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