Grasp Maths

Year 6

Use, read, write and convert between standard units, converting measurements of length, mass, volume and time, and understand approximate equivalences between miles and kilometres

Use standard units confidently and understand the approximate link between miles and kilometres.

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Lesson overview

Measurement

Some conversions are exact, such as minutes to seconds or kilograms to grams. Miles and kilometres are not exact in everyday mental calculation, so we often use the known approximation of 5 miles being about 8 kilometres.

Time conversion

2.5 hours is 150 minutes.

1 hour is 60 minutes.

Miles and kilometres

5 miles is about 8 kilometres.

This is an approximate equivalence used for estimation.

Worked example

About how many kilometres is 15 miles?

MilesKilometres
58
1524
  1. Use the known fact that 5 miles is about 8 km.
  2. 15 miles is 3 lots of 5 miles.
  3. So multiply 8 km by 3.
  4. 15 miles is about 24 km.

Try it

Decide whether the conversion is exact or an everyday approximation.

Question 1

2.5 hours =

Question 2

5 miles is about:

Question 3

15 miles is about:

5 miles15 miles
8 km24 km
Question 4

3 kg =

Question 5

90 minutes =

Common mistakes

Watch for these when working through the lesson.

  • Treating miles to kilometres as an exact conversion in mental work.
  • Using the wrong unit relationship for time or mass.
  • Forgetting to scale the known conversion properly.

Related topics

These ideas fit closely with this lesson.

  • Solve problems involving the calculation and conversion of units of measure.
  • Use decimal place value accurately.

Practice next

Independent practice will plug in here

This lesson builds the understanding first. Deeper adaptive practice can sit here later.