Overlapping Squares

If two squares overlap, what shapes can the overlapping region make?

Which of the following shapes can the overlap (the green area) be?
Rectangle :: Square :: Kite :: Trapezium :: Parallelogram :: Triangle
Pentagon :: Hexagon :: Heptagon :: Octagon

A Mathematics Lesson Starter Of The Day


Topics: Starter | Shape

  • Transum,
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  • If a vertex of one square meets the centre of the other square. What fraction of the second square is overlapped by the first?

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 27 February | Next Day

 

Answers

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Instructions for Teacher: Click and drag on either of the squares to stop the animation. Hold the shift key and drag to rotate a square. Use the snipping tool or a screen grab program to copy and paste the overlapping shapes you find.

Tip for Teacher: I found it very easy using PowerPoint (Keynote) to easily draw a square, duplicate it then mowe around the squares looking for answers. Set the fill attribute to no fill or, for the advanced, coloured yellow and aqua with 50% opacity (transparency).

Note to teacher: The starter originally designed for the 27th February was called Texting. It contained a photograph of my mobile phone! How time marches on at a pace and my trusty old phone now looks really dated. Newer phones don’t use predictive text in the same way as they provide a full keyboard so the premise of the Starter is quite dated.

If however you would still like to use that Starter you can find it here: Texting



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Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=February27

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

Transum.org/go/?to=pieces

Student Activity

 

Curriculum Reference

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


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