National curriculum content
- Recognise that shapes with the same areas can have different perimeters and vice versa
- Recognise when it is possible to use formulae for area and volume of shapes
- Calculate the area of parallelograms and triangles
- Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3 ) and cubic metres (m3), and extending to other units [for example, mm3 and km3 ]
- Shapes – same area
- Area and perimeter
- Area of a triangle - counting squares
- Area of a right-angles triangle
- Area of any triangle
- Area of a parallelogram
- Volume- counting cubes
- Volume of a cuboid
What we want children to know
- Relate the area of rectangles to parallelograms and triangles, for example, by dissection, and calculate their areas, understanding and using the formulae (in words or symbols) to do this
- Find and draw rectilinear shapes that have the same area
- Extend their knowledge of working out the area of a right-angled triangle to work out the area of any triangle
- Understand that volume is the amount of solid space something takes up
- Make the link between counting cubes and the formula (𝑙 × 𝑤 × ℎ) for calculating the volume of cuboids
What skills we want children to develop
Use knowledge to solve reasoning and problem solving questions such as:
- Put these amounts in order starting with the largest.
Explain your thinking
Always, sometimes, never
- If the area of a rectangle is odd then all of the lengths are odd.
- A cuboid has a volume between 200 and 250 cm cubed. Each edge is at least 4cm long. List four possibilities for the dimensions of the cuboid.
- What do we need to know in order to work out the area of a shape?
- Why is it useful to know your times-tables when calculating area?
- What is the difference between the area and perimeter of a shape?
- What does estimate mean?
- What is the formula for working out the area of a rectangle or square?
- What do we mean by perpendicular height?
- Describe a parallelogram.
- How is capacity different to volume?
- What is the same and what’s different between area and volume?
- Can you identify the length, width and height of a cuboid?