Metric units are based around the standard units of metre, gram and litre.

Kilo placed before a unit means 1000 times.

Imperial is a system of units for measuring, which was created in the early 1800s during the British Empire.

Checking and securing understanding of converting between metric and imperial measures

Maths

Checking and securing understanding of scales and conversion

Checking and securing understanding of perimeter for compound shapes

Checking and securing understanding of area for compound shapes

Perimeter and area in a contextual setting

Calculating arc length

Area of a sector

Area of compound shapes

Shapes within shapes

Equations from complex shapes

Shapes on coordinate grids

Problem solving with complex 2D shapes

In this unit, pupils built upon their prior learning of the area of different shapes. In the future unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

In the prior unit, pupils derived the formula for the circumference and area of a circle. In this unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

In this unit, knowledge of circles and polygons is drawn upon to find the arc length and area of a circle sector and areas of complex compound shapes.

2D and 3D shape: compound shapes

Use the ratio table to convert 2670 ml into litres. {{ }} litres.

1 centigram equals $$1 \over 100$$ grams. 
Match the letter in the ratio table to its value to convert 35 980 cg into grams.

Use the ratio table to convert 0.0051 metres into millimetres.

13 inches ≈ 33 cm. Use the ratio table to convert 40 inches into cm (rounded to the nearest cm). {{ }} cm

8 km ≈ 5 miles. 

Convert 136 000 000 mm into miles. {{ }} miles

(0.06 ÷ 10 ÷ 10) × (10 × 10 × 10 × 10)

(6 × 10 × 10) × (10 × 10 × 10 × 10)

(6 ÷ 10 ÷ 10) × (10 × 10 × 10 × 10)

Which of these calculations is equivalent to 0.06 × 10 000?

(13 ÷ 10 ÷ 10) × (3 × 10 × 10 × 10)

(13 ÷ 10 ÷ 10 ÷ 10) × (3 × 10 × 10 × 10)

(13 ÷ 10 ÷ 10 ÷ 10 ÷ 10) × (3 × 10 × 10 × 10)

(13 × 10 × 10 × 10) × (3 × 10 × 10 × 10)

(13 ÷ 10 ÷ 10 ÷ 10) ÷ (3 × 10 × 10 × 10)

Which of these calculations is equivalent to 0.013 × 3000?

Izzy spent £6 to buy 15 flowers. The value of $$a$$ in this ratio table is {{ }}

Aisha spent £4 on 20 bricks. Match each letter in the ratio table to its value.

Checking and securing understanding of converting between metric and imperial measures

Lesson outcome