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Solve problems involving different units of measure

Lesson details

Learning outcome

I can solve problems involving different units of measure.

Key learning points

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

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.

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.

Teacher tip

The problems in the lesson have a party theme. If you chose to, you could present them practically - for example, using real squash alongside measuring cylinders or jugs. This would provide a stimulating and memorable learning experience for the pupils, with real life connections.

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions
(Collection 2).

Lesson video

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Prior knowledge starter quiz

6 Questions

Q1.
How many millimetres are there in 2 cm?

Correct answer: 20
200
2,000

Q2.
How many metres are there in three kilometres?

30
300
Correct answer: 3,000
30,000

Q3.
How many pennies are there in £4.00? There are p in £4.00

Correct Answer: 400

Q4.
How many centimetres are there in five metres? There are cm in five metres.

Correct Answer: 500

Q5.
How many grams are there in six kilograms? Thee are g in six kilograms.

Correct Answer: 6,000

Q6.
Match the fraction with the correct decimal.

Correct Answer:$$ 2\frac{1}{4} $$,2.25

2.25

Correct Answer:$$ 2\frac{3}{4} $$,2.75

2.75

Correct Answer:$$ 2\frac{7}{10} $$,2.7

2.7

Correct Answer:$$ 2\frac{1}{5} $$,2.2

2.2

6 Questions

Q1.
Match the question with the skill needed to solve it.

Correct Answer:adding,Jun donates £ ___ to charity. Izzy donates ___ p. How much altogether?

Jun donates £ ___ to charity. Izzy donates ___ p. How much altogether?

Correct Answer:finding the difference,Andeep has a ___ kg bag of flour. He uses ___ g. How much is left?

Andeep has a ___ kg bag of flour. He uses ___ g. How much is left?

Correct Answer:counting in groups,Aisha has a ___ m length of ribbon. How many ___ cm pieces can be cut?

Aisha has a ___ m length of ribbon. How many ___ cm pieces can be cut?

Q2.
Jun donates £1.50 to charity and Izzy donates 75 p. How much do they donate altogether? Jun and Izzy donate p altogether.

Correct Answer: 225, £2.25

Q3.
Andeep has a 1 kg bag of flour. He uses 300 g. How much flour is left, in grams? g

Correct Answer: 700

Q4.
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.

Correct Answer: 5

Q5.
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

Correct Answer: 1,750, 1750

Q6.
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.

Correct Answer: 750

To help you plan your 5 maths lesson on: Solve problems involving different units of measure, download all teaching resources for free and adapt to suit your pupils' needs...