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Listed under:  Mathematics  >  Geometry  >  Rotation

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'!

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.

In a spin

This resource is a web page containing a short task to explore volume of a solid shape. The task involves calculating the volume of the solid formed by rotating a right angled triangle about its hypotenuse A printable resource and solution is also available to support the task. This resource is an activity from the NRICH ...

Understanding Rotation

A simple, animated introduction to rotation of geometric shapes, with an interactive quiz.

Symmetry

An animated tutorial about types of polygons and their line symmetries, followed by an interactive quiz.

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.

Axial Symmetry

An interactive applet in which students explore the effect of reflection in a variety of axes.

Day and Night

Students use this resource consisting of five slides with diagrams, written explanation and voice-over to understand how the movement of the Earth causes day and night, the apparent daily movement of the Sun from east to west and the orbit of the Earth over one year. There is a two-question quiz and a summary slide.

reSolve: Reasoning With 2D Shapes

This sequence of three lessons explores shape properties and skills in manipulating shapes using transformations. Students create two-dimensional shapes by joining pins on a circular geoboard, explore the different shapes that can be made by joining together a set number of identical equilateral triangles and investigate ...

reSolve: Transformations - Frieze patterns

This sequence of three lessons explores transformation and symmetry by engaging students in the design of friezes. Students are introduced to simple friezes, how reflections, rotations and translations are combined to create design elements, explore real frieze examples from furnishings in Parliament House and tyres, then ...

Face painter: finding faces 1

Identify polygons on a range of prisms and polyhedra such as a cube, square pyramid or triangular prism. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to see all of its faces. Paint each face of a given shape such as a triangle or rectangle.

Photo hunt: level 4

Explore visual perspectives of solids such as cylinders, spheres, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rotate the scene until the view matches the original photo. The solids in the ...

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.