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Sorting Logic Blocks

Age 5 to 11
Challenge Level Yellow star
Primary curriculum
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Sorting Logic Blocks


2D shapes triangles, circles, hexagons, squares, oblongs in three different colours (red, blue and yellow) and two different sizesFor this task, you'll need some blocks of different shapes and colours, or you could print off and cut out the shapes on this sheet.

Choose a rule, like 'only have four-sided shapes' or 'only have large shapes'.
Challenge someone else to work out your rule.
They can do this by choosing a shape for you to say either "Yes, that obeys my rule and is in my set" (you then put it over on the left) or "No, this does not obey my rule and so is not in my set" (you then put it over on the right).

How did they decide which shapes to choose?
Did they get quicker at finding out the rule?
What was the smallest number of shapes they needed to try?
Could you make some more shapes to add to the set? What would you make and why?

Tell us about some of the rules you chose and how you decided which shapes to try.


Why do this activity?
This activity can be used to build up children's confidence with the language associated with 2D shape. 

Possible approach
You can do this activity as a whole class, teacher-led activity, by creating shapes on the interactive whiteboard. Choose a particular property and drag a shape which meets that criteria to the left of the screen underneath a title of something like 'These shapes are in my set', or simply 'Yes'. (Alternatively, you could print off, laminate and cut out shapes from this sheet and stick them to the board.)


The first time you do this it's a good idea to conduct it in silence. Children take turns to come to the front and select a shape. Without saying anything, you drag it to the appropriate side of the screen. When they think they know your rule they could write it down on their whiteboards.

Once they become familiar with the game, you can interrogate them about their choices.  'Why did you choose that one?'; 'I'll put that one here - what does that tell you?'.

You could then give out sets of the shapes to pairs of children for them to try themselves (if you have 'logiblocks' these are ideal, otherwise print off shapes from the sheet). In this way, you can use the same activity to highlight different properties of shapes so it can be returned to many times over the course of an academic year.



Key questions
Why did you choose that one?
I'll put that one here - what does that tell you?
Which would be a good one to choose now? Why?

Possible support

For a class that is less confident, you could scaffold their learning by writing several different rules on the board. They then know that your rule is one of those and can choose accordingly. Children could make up their own rule for you to write.


Possible extension
Challenge children to use as few shapes as possible to test their ideas. 

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Tangrams

Can you make five differently sized squares from the interactive tangram pieces?

Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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