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Visualising Quadrilaterals

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Most students are confident about being able to recognise the most common quadrilaterals, in particular squares, parallelograms and rhombuses. The problems and games in this feature will challenge your students to visualise quadrilaterials and may help them gain a better understanding of their properties.

The last day for sending in solutions to the live problems is Monday 15 May.

You can watch a recording of the webinar in which we discussed the mathematical thinking that can be prompted by these activities.

 

Square It
problem
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Square It

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Parallelogram It
problem
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Parallelogram It

Age
11 to 16
Challenge level
filled star empty star empty star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Tilted Squares
problem
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Tilted Squares

Age
11 to 14
Challenge level
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It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Rhombus It
problem
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Rhombus It

Age
11 to 16
Challenge level
filled star filled star empty star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Square coordinates
problem
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Square coordinates

Age
11 to 14
Challenge level
filled star filled star empty star

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

Opposite vertices
problem
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Opposite vertices

Age
11 to 14
Challenge level
filled star filled star empty star

Can you recreate squares and rhombuses if you are only given a side or a diagonal?