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Listed under:  Mathematics  >  Geometry  >  Transformation (Geometry)  >  Dilation
Moving Image

Mapping the sea floor

Hydrographers chart the seabed and coastline, giving ships a map to help them avoid running into underwater trouble. Use this clip as a context for exploring the mapping of the sea floor. Think about scale and how to indicate different depths using contour lines.

Interactive resource

Shape sorter: more shapes

Help sort single shapes, or pairs of shapes, in the shape factory. Examine examples of shapes that belong in the Yes set. Examine examples of shapes that do not belong in the set. Work out what features of the shapes are important and test your ideas by sorting some shapes. Then program the robot and see if it sorts the ...

Image

'Fishing for upokororo', 1922

This is a black-and-white photograph of two Mäori men at work with two hïnaki (fish traps) capturing upokororo (grayling, 'Prototroctes oxyrhynchus') on the Waipu River on the east coast of the North Island in 1922. The photograph shows a low dam that has been built across the stream to divert its flow and direct the fish ...

Image

Performance of pūtātara (conch shell trumpet)

This is a pūtātara (conch shell trumpet) being played by the Māori musician and carver Bernard Makoare. The pūtātara is made from a triton shell (Triton australis) with a wooden mouthpiece lashed to the shell’s narrowed end. The mouthpiece is carved as the upper body of a human figure, with the upturned mouth as the hole ...

Teacher resource

TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

This is a 41-page guide for teachers. It contains an introduction to scale drawings and similarity, and in particular the tests for triangles to be considered similar. Applications of similarity are included throughout the module.

Teacher resource

Enlargement transformations

This is a website designed for teachers and students in year 5, and addresses components of the enlargement transformations topic in geometry. It is particularly relevant for the concept of enlarging two-dimensional shapes and also contains material on enlarging drawings using grid paper. There are pages for both teachers ...

Teacher resource

Similarity

This is a website designed for both teachers and students, which addresses similarity from the Australian Curriculum for year 9 students. It contains material on enlargement transformation and similar triangles. There are pages for both teachers and students. The student pages contain interactive questions for students ...

Text

Volume of a Pyramid and a Cone

This resource is a web page containing an investigative task to explore volume. Derive the formulae for the volumes of a square-based pyramid and a cone, using mathematical concepts. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

Teacher resource

reSolve: Mechanical Linkages: Similar Triangles

This sequence of lessons explores the geometry of similar triangles using two real world objects: ironing boards and pantographs. In the first lesson, students investigate different ironing board leg lengths and pivot positions using similar and congruent triangles. In the second lesson, they use their knowledge of parallelogram ...

Teacher resource

reSolve: Bifold Boxes

This lesson challenges students to use proportional reasoning to explain how changing the size of a square will affect the size of a box folded from that square. Students fold an origami box from a square of paper and record the dimensions of the resulting box. They then fold a box from a square of paper four times the ...

Teacher resource

reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...