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
Curriculum for Symmetry:
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...
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...
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."
Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:
"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."
Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:
"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"
Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:
"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."
Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:
"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 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."
Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:
"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 28 September 'Starter of the Day' page by Malcolm P, Dorset:
"A set of real life savers!!
Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:
"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"
Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :
"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
Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:
"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."
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!
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"
Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:
"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales:
"Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"
Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:
"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."
Comment recorded on the s /Indice 'Starter of the Day' page by Busolla, Australia:
"Thank you very much for providing these resources for free for teachers and students. It has been engaging for the students - all trying to reach their highest level and competing with their peers while also learning. Thank you very much!"
Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School:
"This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register."
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."
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."
Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:
"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."
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!!"
Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales:
"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"
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 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 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary:
"I use Starter of the Day as a registration and warm-up activity for my Year 6 class. The range of questioning provided is excellent as are some of the images.
Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry:
"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.
Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:
"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."
Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:
"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."
Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:
"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."
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.
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.
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?
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.
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:
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Sunday, August 1, 2021