Transum Maths Software

Symmetry

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Symmetry. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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Symmetry Starters:

Dice Reflections: A dice is reflected in two mirrors. What numbers can be seen?

Freemason's Cipher: Find symmetric words in this ancient cipher.

Match Fish: A classic matchstick puzzle designed to challenge your spacial awareness.

Mirror Maths: The bottom half of some symmetrical calculations are shown above. Can you work out the answers?

Reflective Cat: On squared paper copy the drawing of the face then reflect it in three different lines.

Rotational Symmetry: Draw a pattern with rotational symmetry of order 6 but no line symmetry.

Wrapping Paper: Find the order of rotational symmetry of the repeating pattern.

 

Small images of these Starters | | |  Complete Index of Starters

Featured Activity

Without Lifting

Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

 

Feedback:

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"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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Notes:

This topic covers line symmetry and rotational symmetry. The innate appeal of symmetry can be found in our reactions to finding symmetry in natural objects, such as precisely formed crystals or seashells. Symmetry in art is another source of delight.

Understanding the mathematics of symmetry is the focus of this topic. Accurately drawing the reflection of an object requires an understanding of the relative positions of reflected points. Defining the position of the mirror line is important to find the position and orientation of the reflection.

The Wrapping Paper lesson starter makes it clear that for rotational symmetry, the position of the centre of rotation is very important.

Work on this topic can produce some excellent display work!

Symmetry Teacher Resources:

Kite Maths: Can you make a kite shape from a single A4 size sheet of paper using only three folds?

Polygons: Name the polygons and show the number of lines and order of rotational symmetry.

Symmetry Activities:

Pattern Clues: An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues.

Polygons: Name the polygons and show the number of lines and order of rotational symmetry.

Rotational Symmetry Pairs: The traditional pairs or pelmanism game adapted to test knowledge of rotational symmetry.

Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Symmetry Videos:

Symmetry, reality's riddle: Marcus du Sautoy' TED talk illustrating some aspects of symmetry.

The science of symmetry: An illustrated talk about the notion of symmetry and how it applies to nature.

Symmetry Worksheets/Printables:

Cat Face Reflections: A worksheet containing pictures and shapes to be reflected in given lines.

Polybragging Cards: Printable cards for the Polybragging game. Use the properties of polygons to win.

Symmetry External Links:

Links to other websites containing resources for Symmetry are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Recently Updated

Area shapes

Area shapes

Investigate polygons with an area of 4 square units. This is your starting point, you can decide how to proceed. So far this activity has been accessed 7256 times and it is ready for you to enjoy!

 

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