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 ]

Lesson objectives

1. Shapes – same area
2. Area and perimeter
3. Area of a triangle - counting squares
4. Area of a right-angles triangle
5. Area of any triangle
6. Area of a parallelogram
7. Volume- counting cubes
8. 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:

Top Tips

• Put these amounts in order starting with the largest.

100 cm3

1000000 mm3

1m3

Explain your thinking

Always, sometimes, never

• If the area of a rectangle is odd then all of the lengths are odd.

Other possibilities

• 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.

Vocabulary/Mathematical Talk

• 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?