Symmetry

Activities

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

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

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

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

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

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

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

Videos

This is the main Transum help video on Symmetry.

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

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

Visual Aids

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

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

Starters

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

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

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

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

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

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

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

16 items are currently in this category.

Teachers might find the complete Symmetry Topic List useful.

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!


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