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.

Main Page

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 ::  Index of Starters

Index of Advanced Starters


Suggested

Snowflake Generator

Snowflake Generator

See how the hexagon can be transformed into a snowflake with some basic translations.

The short web address is:

Transum.org/go/?to=sfg

 

Curriculum for Symmetry:

Year 5

Pupils should be taught to identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed. more...

Year 6

Pupils should be taught to draw and translate simple shapes on the coordinate plane, and reflect them in the axes more...

Years 7 to 9

Pupils should be taught to describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric more...

Pupils should be taught to identify properties of, and describe the results of, translations, rotations and reflections applied to given figures more...

Years 10 and 11

Pupils should be taught to sketch translations and reflections of the graph of a given function more...

Years 12 and 13

Pupils should be taught to understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity. Know and use exact values of sin, cos and tan for the following angles (in degrees and radians) 0°, 30°, 45°, 60°, 90°, 180° and multiples thereof more...

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

Feedback:

Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

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"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

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"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

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Keep it up and thank you!"

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Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

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Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex:

"This website was brilliant. My class and I really enjoy doing the activites."

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"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

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"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

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"A really awesome website! Teachers and students are learning in such a fun way! Keep it up..."

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

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"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

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"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

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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:

Snowflake Generator: See how the hexagon can be transformed into a snowflake with some basic translations.

Xmas Symmetry Pairs: Match the pictures with the description of their symmetry.

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

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

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

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

Symmetry Table Challenge: In how many cells can you draw symmetrical shapes with the given row and column headings?

Symmetry Videos:

Symmetry video
Transum's Symmetry Video


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

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

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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Suggested

Symmetry Table Challenge

Symmetry Table Challenge

In how many cells can you draw symmetrical shapes with the given row and column headings?

The short web address is:

Transum.org/go/?to=symmetrytablechallenge

 

Teaching Notes:

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Sunday, August 1, 2021

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