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Listed under:  Symmetry

### TIMES Module 21: Measurement and Geometry: rhombuses, kites and trapezia - teacher guide

This is a 32-page guide for teachers. It contains the definitions, properties and tests for rhombuses, kites and trapezia. Proofs of the properties and tests are given. Constructions for rhombuses, kites and trapezia are provided.

### TIMES Module 26: Measurement and Geometry: circle geometry - teacher guide

This is a 44-page guide for teachers. It contains theorems on chords, arcs, angles and secants associated with circles.

### 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'!

These seven learning activities, which focus on 'open-ended tasks' 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 investigations in order ...

### Sea star features and adaptations

This article includes sea star interactive diagrams with labels that lead users to its many unusual features. When a label is selected, some text with a video or an image is presented in a small window. When the flip label is selected, the sea star turns around and a different set of labels appear.

### Draw an egg

This teaching resource outlines an activity for students to draw an egg shape by hand, using a method that combines three ellipses. The resource outlines the materials required, provides instructions for drawing the curve, describes how the shape is composed of ellipses, and introduces some places where the egg shape is ...

### Giant hole: climb through a hole in a sheet of paper

This teaching resource outlines an activity for students to explore the relationship between the area and perimeter of a shape, by using a series of cuts in a piece of paper to create a hole large enough to step through. The resource includes detailed instructions for creating the cuts in the paper, an explanation of how ...

### SpatialGenie symmetry - teacher resource

This teacher resource describes how students can explore and learn about symmetry through the use of learning objects L7803 'Finding symmetry: one line: city' and L7802 'Finding symmetry: two lines: city'. Students then apply their understanding and fluency by utilising the maps in the spatial visualisation tool, SpatialGenie ...

### Symmetry

This is a short colourful animation with a voiceover that explains the concept of symmetry to primary-level students by using visual examples and a counter-example. The resource also provides a practical test for checking whether a two-dimensional object drawn on paper and cut out is symmetrical or not. Technical terms ...

### Symmetry and pattern: the art of oriental carpets

This resource is a website about the study of symmetry through analysing patterns in oriental carpets. It presents a gallery of different oriental rugs. Details about the patterns in each rug can be accessed by selecting the image of the rug or the key below the images. There are links to pages that explain symmetry and ...

### Planes of Symmetry

An animated tutorial demonstrating planes of symmetry of solids. An interactive quiz is included.

### Axial Symmetry

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

### Symmetry

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

### reSolve: Reasoning With 3D Objects

This sequence of lessons explores symmetry and three dimensional objects. Students interpret and represent three-dimensional objects in two dimensions and apply their knowledge of transformations to show congruency or difference between objects. The lessons are outlined in detail including curriculum links, vocabulary, ...

### reSolve: Authentic Problems: Expanded Square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

### EagleCat: rotasym

Explore rotational symmetry. Observe how many times a shape will fit exactly into itself as it is rotated through 360° about its centre. Explore rotational symmetry in numbers, letters, regular polygons and other shapes. Relate the order of symmetry to the factors of 360°.

### Shape sorter: wand tool

Examine examples of single shapes. Use the Wand tool to compare the sides, right angles and lines of symmetry for each shape, to work out its features. This learning object is one in a series of nine objects.

### Shape sorter: modify tool

Examine examples of pairs of shapes. Use the Modify tool to rotate, enlarge, reduce and flip each shape in a pair, to work out its features. This learning object is one in a series of nine objects.

### Finding symmetry: three lines: garden

Explore a secret garden to find shapes with three or more lines of symmetry. Look for shapes that are hidden in objects, for example, a flower, tent and bird bath. Use the testing wand to fold the shapes into matching halves. Check your prediction. Find and test more hidden shapes. This learning object is one in a series ...

### Finding symmetry: two lines: garden

Explore a secret garden to find shapes with one line of symmetry. Look for shapes that are hidden in objects, for example a pond, paving stone and park bench. Use the testing wand to fold the shapes into matching halves. Check your prediction. Find and test more hidden shapes. This learning object is one in a series of ...