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For younger learners

  • Early Years Foundation Stage

Paths

Age 3 to 5
Talking about positions and shape properties

 
Children often enjoy putting objects in lines wiggling all over the place.

Adults could build on this by providing an environment that will give good opportunities for language work and discoveries.
The Activity
Gather together a selection of flat shapes of different colours and sizes, with sufficient room to create paths in and around the surroundings. This could be indoors or outdoors using man-made or natural shapes. The children are asked to 'make paths!'.


Encouraging mathematical thinking and reasoning:

Describing
Tell me about your paths.
Let's look at what everyone has made.
I wonder where this path is going.
I wonder who/what could be going along your path. How do you know what to put next?
Who used more shapes, you or ... ?
Reasoning
Why did you put ... next to the ... ?
Is there a pattern to your path? What could you put after the ... ?
Can you make your paths go (under the ... , round the ... , by the ... )?
Opening Out
How many teddies/lorries can use your path?
Can you put more lorries on your path?
Recording
Would you like to show your path on paper?


The Mathematical Journey

Comparing and describing:

  • using everyday language to describe geometric ideas
  • using mathematical language to describe shape, moving from informal such as wiggly, to more specific such as straight or curved

Number:

  • counting and knowing that the last number in the path tells the total

Adding and subtracting:

  • increasing or decreasing the number of shapes in the path

Properties of shapes:

  • selecting shapes to add to the path by analysing their properties
  • using shapes to solve problems about the route of the path
Development and Variation
Children could:
  • Collect all kinds of objects, both natural and man-made, and stack them up into towers.
  • Fit different objects into big boxes or drawers.
  • Choose things to build with outside. 
Resources  
Small flat shapes that could be used as stepping stones or put together to make a continuous path.
Outside, look for larger flat shapes that are able to be carried safely, both man-made and natural.

Download a PDF of this resource.
 

nrich.maths.org/early-years
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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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