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National Curriculum: Geometry - Properties of Shapes - Year 5 - Activities

Created on 23 October 2013 by ncetm_administrator
Updated on 03 February 2014 by ncetm_administrator


Programme of Study statements Activities
identify 3-D shapes, including cubes and other cuboids, from 2-D representations   bullet      
know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles bullet   bullet bullet  
draw given angles, and measure them in degrees (°) bullet   bullet bullet  
  • angles at a point and one whole turn (total 360°)

  • angles at a point on a straight line and half a turn (total 180°)

  • other multiples of 90°
bullet   bullet bullet  
use the properties of rectangles to deduce related facts and find missing lengths and angles     bullet   bullet
distinguish between regular and irregular polygons based on reasoning about equal sides and angles       bullet  

Activity A: Logo Challenge 1 – Star Square

Use ‘Logo’ to draw the design shown. This requires using knowledge of angle properties of 2D shapes.


Activity B: Cuboids

How many different cuboids can you make with 12, 24, 36… linking cubes?

Challenge the children to draw their formed shapes on isometric paper. In how many different ways can a single cuboid be represented? Does the number of cubes need to be even?

Activity C: Equal angles

Fold along the diagonals of a square piece of paper. Unfold and mark all the angles of the same size. Fold along the lines of symmetry of a square piece of paper. Unfold and mark all angles of the same size.

Repeat for a rectangle. Repeat for other quadrilaterals. Are there the same number of equal angles each time? Why/not?

What if the starting shape was a regular pentagon? Hexagon?

Activity D: Sorting triangles

Cut out a set of a variety of triangles including equilateral, isosceles and scalene and those whose greatest angle is acute, right and obtuse. Ensure there is a set of at least twenty triangles per group. Invite children to find as many ways as possible to sort the triangles.

Summarise by introducing classification by side length: equilateral, isosceles, scalene and classification by greatest angle: acute-angles, right-angles and obtuse-angled. Complete the table, by placing triangles in the space – children could construct their own examples. They must justify any gaps…

  equilateral isosceles scalene

Activity E: Shape Perimeter

How many shapes can you make with a perimeter of 12cm?

This can be extended to asking about the area of the shapes made and challenging the misconception that a fixed perimeter implies a fixed area.

Useful Resources

  • Squared, plain and dotty papers
  • Logo
  • Dynamic geometry
  • Practical materials for shape

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