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For younger learners

  • Early Years Foundation Stage

Always, Sometimes or Never? Shape

Age 7 to 11
Challenge Level Yellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources


Are the following statements always true, sometimes true or never true?
How do you know?

Can you find examples or counter-examples for each one?

For the 'sometimes' cards can you explain when they are true? Or rewrite them so that they are always true or never true?

A hexagon has six equal length sides

Triangles have a line of symmetry

Squares have two diagonals that
meet at right angles

Cutting a corner off a square
makes a pentagon

The base of a pyramid is a square

A cuboid has two square faces

 
What about these more complex statements?

When you cut off a piece from
a 2D shape, you reduce the
area and perimeter

Triangles tessellate

The number of lines of symmetry
in a regular polygon is equal to the number of sides

Quadrilaterals can be cut into two equal triangles


You could cut out the statement cards and arrange them in this grid. Alternatively, you could use these interactivities to organise your thinking:

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Number Sandwiches

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

Add 3 Dice

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

Online

A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.

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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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