Solve problems involving different units of measure | Maths

Starter quiz

How many millimetres are there in 2 cm?
- 20 ✓
- 200
- 2,000
How many metres are there in three kilometres?
- 30
- 300
- 3,000 ✓
- 30,000
How many pennies are there in £4.00? There are ______ p in £4.00
- '400' ✓
How many centimetres are there in five metres? There are ______ cm in five metres.
- '500' ✓
How many grams are there in six kilograms? Thee are ______ g in six kilograms.
- '6,000' ✓
Match the fraction with the correct decimal.
- $2\frac{1}{4}$
  
  ⇔
  
  2.25 ✓
- $2\frac{3}{4}$
  
  ⇔
  
  2.75 ✓
- $2\frac{7}{10}$
  
  ⇔
  
  2.7 ✓
- $2\frac{1}{5}$
  
  ⇔
  
  2.2 ✓

Exit quiz

Match the question with the skill needed to solve it.
- adding
  
  ⇔
  
  Jun donates £ ___ to charity. Izzy donates ___ p. How much altogether? ✓
- finding the difference
  
  ⇔
  
  Andeep has a ___ kg bag of flour. He uses ___ g. How much is left? ✓
- counting in groups
  
  ⇔
  
  Aisha has a ___ m length of ribbon. How many ___ cm pieces can be cut? ✓
Jun donates £1.50 to charity and Izzy donates 75 p. How much do they donate altogether? Jun and Izzy donate ______ p altogether.
- '225' ✓
Andeep has a 1 kg bag of flour. He uses 300 g. How much flour is left, in grams? ______ g
- '700' ✓
Aisha has a 2.5 m length of ribbon. How many 50 cm pieces of ribbon can she cut from it? Aisha can cut ______ pieces of ribbon.
- '5' ✓
Jun and Lucas are having their parcels weighed at the Post Office. Jun’s parcel has a mass of 500 g. Lucas’ parcel has a mass of $1\frac{1}{4}$ kg. The mass of both parcels together is ______ g
- '1,750' ✓
Jun’s parcel has a mass of 500 g. Lucas’ parcel has a mass of $1\frac{1}{4}$ kg. How much more is the mass of Lucas’ parcel? The mass of Lucas' parcel is ______ g more than Jun's.
- '750' ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

If 1m = 100cm then 3m = 3 x 100cm = 300cm
If 100cm = 1m then 500cm = 5 x 100cm = 5m

Common misconception

Some pupils may need support with the decimal representation of measures and how to convert from larger units to smaller e.g. 1.2 l into ml.

Allow pupils to go back to previous work completed where necessary to see the units of measure divided up into 2, 4, 5 and 10 parts and represented with decimals, to provide a scaffold for them to use whilst completing the problems in this lesson.

Keywords

Convert - To change a value or expression from one form to another, such as grams into kilograms.
Represent - Represent means to communicate mathematical ideas through models.
Calculate - Calculate means to choose one of the four operations to solve a problem.