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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 ...

### 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 ...

### Finding symmetry: one line: garden

Explore a secret garden to find shapes with one line of symmetry. Look for shapes that are hidden in objects, for example a bush, crocodile and fountain. 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 six objects.

### Finding symmetry: three lines: city

Explore a futuristic city to find shapes with at least three lines of symmetry. Look for shapes that are hidden in objects, for example a pentagon, square and triangle. 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 ...

### Finding symmetry: two lines: city

Explore a futuristic city to find shapes with two lines of symmetry. Look for shapes that are hidden in objects, for example an oval, a rectangle and a rhombus. 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 ...

### Finding symmetry: one line: city

Explore a futuristic city to find shapes with one line of symmetry. Look for shapes that are hidden in objects, for example an arrow, a cross and a kite. 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 six objects.

### Trig degrees

Use a unit circle tool to explore sine, cosine and tangent values in different quadrants. Determine the values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of the graphs and the values for the functions in different quadrants. Observe the graphs animate and ...

### Trig degrees: sine to 360

Use a unit circle tool to explore sine values in different quadrants. Determine the sin Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of sin Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and table ...

### Trig degrees: cosine to 360

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and table ...

### Trig degrees: tangent to 360

Use a unit circle tool to explore tangent values in different quadrants. Determine the tan Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of tan Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and ...

Use a unit circle tool to explore sine, cosine and tangent values in different quadrants. Determine the values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of the graphs and the values for the functions in different quadrants. Observe the graphs animate ...

Use a unit circle tool to explore sine values in different quadrants. Determine the sin Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of sin Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...