Rotational Symmetry

A Maths Starter Of The Day

Pattern 1 Pattern 2 Pattern 3

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

A Mathematics Lesson Starter Of The Day


Topics: Starter | Construction | Geometry | Symmetry | Transformations

  • Transum,
  •  
  • This could be a quick activity with pupils roughly sketching their ideas or it could be a more sustained project leading to some potentially stunning display work for your classroom. Pupils could work on different stipulations. Roll two dice, can you create a diagram (using pencil and paper, a computer painting program or Logo) to produce a design which has the order of rotational symmetry of the first dice and the order of line symmetry of the second dice score. Are all possible combinations possible? Construct a table to show which pairs are possible.
    Enjoy this challenge. Let us know how you get on. A photograph of your work could be posted on this site!

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
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Previous Day | This starter is for 16 January | Next Day

 

 

 

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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

Transum.org/go/?Start=January16

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=rotate

Student Activity

 

Here is the URL of a snowflake generator with which pupils can produce symmetrical patterns.

Transum.org/go/?Num=886

Student Activity

 

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.


Rotational symmetry
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