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Listed under:  Mathematics  >  Geometry  >  Transformation (Geometry)
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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 ...

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Making maths: Rangoli designs

This resource is a web page containing an activity about symmetrical patterns that are used to decorate traditional Indian clothing and architecture. The patterns contain line and/or rotational symmetry. Students can examine the patterns and identify the type of symmetry present in each one. This resource is one of a series ...

Video

Catalyst: Measuring our coastline

How long is the Australian coastline? See Dr Derek Muller and Simon Pampena discussing the perimeter of the Australian coastline. Find out how the accuracy of that measurement depends on the length of the 'measuring stick' used. They discuss how a coastline is much like a fractal such as 'Koch's Snowflake'!

Video

MathXplosion, Ep 34: 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 ...

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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. ...

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Making maths: Indian window screen

This resource is a web page containing an activity about constructing symmetrical decorative patterns. The resource provides initial step-by-step instructions for using standard grid paper to recreate an intricate pattern found in a traditional Indian window screen. This resource is one of a series of activities from the ...

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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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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.

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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.

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. ...

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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.

Downloadable

Change course

Students identify transformations, and rotational and line symmetry, in regular and irregular polygons, and use transformations and symmetry to make a tessellating shape.

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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

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Moon Goats (Geometric reasoning) - ABC Education

As a team, use your understanding of geometric reasoning to transform two-dimensional floor plans into three-dimensional pod houses. See how many unique houses you can build for the Moon Goats. Then, try the Budget Challenge to calculate the cost of different types of houses. Mathematical ideas and strategies this game ...

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Symmetry Year 4 - Calculate

This activity is about symmetry and transformations. The aim is for students not simply find solutions but to think about a way to record their discoveries in a systematic way. How can students share their thinking and compare their answers to someone else?

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New shapes can be made by joining (combining) or partitioning (breaking apart) existing shapes: K–2 Year B – Unit 5

This two-week unit develops student knowledge, understanding, and skills of how new shapes can be made by joining (combining) and breaking apart (partitioning) existing shapes.

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What needs to be measured determines the Unit of measurement: K–2 Year B – Unit 8

This sample multi–age unit explores the big idea 'what needs to be measured determines the unit of measurement'.

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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world Multi-age 3–6 Year B – Unit 12

This 2-week unit unit develops the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world. Students are provided opportunities to: combine and split common shapes; transform two-dimensional and composite figures by reflecting, translating, and rotating; ...

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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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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.