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?

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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 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=February27

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 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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