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.

#### Snowflake Generator

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

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.

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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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"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."

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"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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"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.
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"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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Could we have some on angles too please?"

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"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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"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

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

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"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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"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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"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."

### 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:

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.

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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### Other

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#### Symmetry Table Challenge

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

Transum.org/go/?to=symmetrytablechallenge

### Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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