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Year 5

Convert to and from fraction and decimal quantities of larger units

I can convert to and from fraction and decimal quantities of larger units.

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New
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Year 5

Convert to and from fraction and decimal quantities of larger units

I can convert to and from fraction and decimal quantities of larger units.

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Lesson details

Key learning points

  1. 1 mm = 0.001km
  2. 1 g = 0.001 kg
  3. 1 ml = 0.001 l
  4. 1 m = 0.001 km

Keywords

  • Equivalent - If two or more things have the same value, they are equivalent.

  • Convert - Convert means to change a value or expression from one form to another.

Common misconception

Pupils see values like 0.25 l and convert it to 25 ml.

The lesson presents fractions and decimals as parts of whole circles. As long as pupils know that 1 l = 1,000 ml, they should see from the representation that 0.25 l = 250 ml as 250 + 250 + 250 + 250 = 1,000

This lesson focuses on the larger unit being less than 1 Spend time revisiting fraction and decimal equivalents in this way so that the representations within this lesson are familiar and accessible to children. The next lesson will cover examples where the larger unit is greater than 1
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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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Starter quiz

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6 Questions

Q1.
Match the unit of measure to the correct abbreviation.
Correct Answer:millimetre ,mm
tick

mm

Correct Answer:metre,m
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m

Correct Answer:millilitre ,ml
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ml

Correct Answer:gram,g
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g

Q2.
Match the unit of measure to the correct abbreviation.
Correct Answer:Kilogram ,kg
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kg

Correct Answer:Kilometre,km
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km

Correct Answer:Litre,l
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l

Q3.
Select all of the statements that are true.
There are 100 ml in one litre.
Correct answer: There are 1,000 mm in one metre.
There are 10 m in one kilometre.
Correct answer: There are 1,000 g in one kilogram.
Q4.
Identify the unit fractions.
Correct answer: $$ \frac{1}{2} $$
$$ \frac{7}{10} $$
Correct answer: $$ \frac{1}{5} $$
$$ \frac{3}{4} $$
Q5.
Identify the non-unit fractions.
$$ \frac{1}{3} $$
Correct answer: $$ \frac{3}{5} $$
$$ \frac{1}{10} $$
Correct answer: $$ \frac{2}{4} $$
Q6.
Match the numbers to correctly complete this sentence. 1,000 divided by ___ = ___
Correct Answer:2,500
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500

Correct Answer:4,250
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250

Correct Answer:5,200
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200

Correct Answer:10,100
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100

Exit quiz

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6 Questions

Q1.
Which of these makes this statement correct? $$ \frac{1}{2} $$ kg = 0.5 kg = ___
50 g
Correct answer: 500 g
5 g
$$ \frac{1}{2} $$ g
Q2.
$$ \frac{1}{4} $$ km = 0.25 km = m
Correct Answer: 250, 250m
Q3.
$$ \frac{1}{5} $$ m = 0.2 m = mm
Correct Answer: 200, 200mm
Q4.
Which of these makes this statement correct? $$ \frac{1}{10} $$ l = 0.1 l = ___
1000 ml
10 ml
Correct answer: 100 ml
1.0 ml
Q5.
How many ml are there in the container? ml
An image in a quiz
Correct Answer: 300, 300ml
Q6.
Which of these makes this statement correct? If $$ \frac{1}{5} $$ l = 200 ml then $$ \frac{3}{5} $$ l = ___
200 ml
800 ml
Correct answer: 600 ml
400 ml

Additional material

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