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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 3 of 10

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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 mm = 0.001km
1 g = 0.001 kg
1 ml = 0.001 l
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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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).

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Prior knowledge starter quiz

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6 Questions

Q1.
Match the unit of measure to the correct abbreviation.

Correct Answer:millimetre ,mm

Correct Answer:metre,m

Correct Answer:millilitre ,ml

Correct Answer:gram,g

Q2.
Match the unit of measure to the correct abbreviation.

Correct Answer:Kilogram ,kg

Correct Answer:Kilometre,km

Correct Answer:Litre,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

Correct Answer:4,250

Correct Answer:5,200

Correct Answer:10,100

Assessment 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

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

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Convert to and from fraction and decimal quantities of larger units

Convert to and from fraction and decimal quantities of larger units

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.Match the unit of measure to the correct abbreviation.

Q2.Match the unit of measure to the correct abbreviation.

Q3.Select all of the statements that are true.

Q4.Identify the unit fractions.

Q5.Identify the non-unit fractions.

Q6.Match the numbers to correctly complete this sentence. 1,000 divided by ___ = ___

Assessment exit quiz

6 Questions

Q1.Which of these makes this statement correct? $$ \frac{1}{2} $$ kg = 0.5 kg = ___

Q2.$$ \frac{1}{4} $$ km = 0.25 km = m

Q3.$$ \frac{1}{5} $$ m = 0.2 m = mm

Q4.Which of these makes this statement correct? $$ \frac{1}{10} $$ l = 0.1 l = ___

Q5.How many ml are there in the container? ml

Q6.Which of these makes this statement correct? If $$ \frac{1}{5} $$ l = 200 ml then $$ \frac{3}{5} $$ l = ___

Additional material

Lesson appears in

UnitMaths / Converting units

Maths

Q1.
Match the unit of measure to the correct abbreviation.

Q2.
Match the unit of measure to the correct abbreviation.

Q3.
Select all of the statements that are true.

Q4.
Identify the unit fractions.

Q5.
Identify the non-unit fractions.

Q6.
Match the numbers to correctly complete this sentence. 1,000 divided by _ = _

Q1.
Which of these makes this statement correct? $$ \frac{1}{2} $$ kg = 0.5 kg = ___

Q2.
$$ \frac{1}{4} $$ km = 0.25 km = m

Q3.
$$ \frac{1}{5} $$ m = 0.2 m = mm

Q4.
Which of these makes this statement correct? $$ \frac{1}{10} $$ l = 0.1 l = ___

Q5.
How many ml are there in the container? ml

Q6.
Which of these makes this statement correct? If $$ \frac{1}{5} $$ l = 200 ml then $$ \frac{3}{5} $$ l = ___