Maths Year 6 Summer Spring/Summer Revision Menu B

Revision for Year 6 SATs will be driven by the specific needs of the children in your class. We therefore provide a 'Menu' of Revision units for you to choose from, with the option to begin your Revision in the Spring Term. The full 'Menu' is also available in the Summer term. Menu 'A' caters largely for number-based skills; Menu 'B' provides for consolidation of non-number toipcs. Our 'SHORT BLOCKS' provide the same menus of revision teaching.

Each Revision unit has everything you need to revise a set of related skills and concepts. 'Teaching & Group Activities' provides a plan for whole-class teaching; a 'Slide Presentation' brings this teaching to life on the IWB. Fully-differentiated adult-led group activities follow, allowing for small-group personalised learning, where you may deal with children's 'Common Misconceptions'. Fluency can be rehearsed with our 'Practice Sheets', or learning checked with the 'Mastery Activity'.

‘UNIT PLAN’ gives you a text version of all parts of the unit to use in your school planning documentation. ‘DOWNLOAD ALL FILES’ gives you that unit plan plus all of the associated documents. These bulk downloads are only available to Hamilton Friends and School Subscribers.

Areas, perimeters and volume (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Show a picture of two ponds. Which pond has the greater area? Model counting all the whole squares in one pond, then also count any squares that have half or more shaded. Ignore squares that have less than half shaded. Why is this a valid strategy for estimating the area? Children draw a rectangle with an area of 24cm² then calculate its perimeter. Challenge children to draw a ‘rectilinear’ shape with an area of 24cm², explaining that a rectilinear shape is one made out of rectangles, e.g. an ‘L’ or ‘T’ shape. They find its perimeter. Share some of their shapes. End by creating today’s ‘Top Tip for Tests’.
Group Activities
-- Estimate areas of irregular ‘ponds’ by counting squares. Calculate area and perimeter of rectangles and rectilinear shapes.
-- Draw rectangles and rectilinear shapes with a given area; calculate their perimeters.

Day 2 Teaching
Show a cuboid (3 × 4 × 3) made from 36 centimetre cubes. Observe how many cubes are in each layer, how many layers, and so how many cubes are in the whole cuboid. Remind children how we can use a formula - length × width × height, or l × w × h for short, to find the volume: the amount of space taken up by the shape. Create today’s ‘Top Tip for Tests’. Sketch a 6 × 4 × 5 cuboid, labelling each side in metres. Children calculate its volume in m³.
Group Activities
-- Sketch cuboids; calculate their volumes. Calculate the length of a missing edge in a cuboid of known volume.
-- Investigate the different cuboids that can be made with a volume of 48cm³.

You Will Need

  • ‘Ponds’ (see resources)
  • ‘Isometric paper’ (see resources)
  • A4 cm2 paper
  • 100 centimetre cubes
  • Mini whiteboards and pens
  • SATs-style practice questions (see download below)

Mental/Oral Maths Starters

Suggested for Day 1
Convert between mm, cm and m (simmering skills)

Suggested for Day 2
Read Roman numerals (simmering skills)

Worksheets

Day 1
Find perimeters and areas of rectilinear shapes, then areas of triangles shown as half rectangles.

Day 2
Find volumes of cuboids, then missing dimensions, given two dimensions and volume.

Mastery: Reasoning and Problem-Solving

  • Nell says, ‘If two rectangles have the same perimeter, they must have the same area. Do you agree? Explain your ideas.
  • Draw two different quadrilaterals with an area of 20 cm².
  • Each side of an equilateral triangle measures 12cm. Each side of a regular hexagon is b cm. The perimeter of the hexagon is 6 centimetres less than the perimeter of the triangle. What number does b represent?
  • A square of area 64cm² is cut into quarters to create four smaller squares. What is the perimeter of one of the small squares?
  • Ronnie has 36 centimetre cubes. She uses all 36 cubes to make a cuboid with dimensions 9cm, 2cm and 2cm. Write the dimensions of the different cuboids she can make using all 36 cubes.
  • A cuboid has a square base. It is three times as tall as it is wide. Its volume is 192 cubic centimetres. Calculate the width of the cuboid.

Extra Support

This unit has no separate Extra Support activities.