Convert to and from fraction and decimal quantities of larger units | Maths

Starter quiz

Match the unit of measure to the correct abbreviation.

millimetre

⇔

mm ✓

metre

⇔

m ✓

millilitre

⇔

ml ✓

gram

⇔

g ✓
Match the unit of measure to the correct abbreviation.

Kilogram

⇔

kg ✓

Kilometre

⇔

km ✓

Litre

⇔

l ✓
Select all of the statements that are true.

There are 100 ml in one litre.

There are 1,000 mm in one metre. ✓

There are 10 m in one kilometre.

There are 1,000 g in one kilogram. ✓
Identify the unit fractions.

$\frac{1}{2}$ ✓

$\frac{7}{10}$

$\frac{1}{5}$ ✓

$\frac{3}{4}$
Identify the non-unit fractions.

$\frac{1}{3}$

$\frac{3}{5}$ ✓

$\frac{1}{10}$

$\frac{2}{4}$ ✓
Match the numbers to correctly complete this sentence. 1,000 divided by ___ = ___

2

⇔

500 ✓

4

⇔

250 ✓

5

⇔

200 ✓

10

⇔

100 ✓

Exit quiz

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

50 g

500 g ✓

5 g

$\frac{1}{2}$ g
$\frac{1}{4}$ km = 0.25 km = ______ m

'250' ✓
$\frac{1}{5}$ m = 0.2 m = ______ mm

'200' ✓
Which of these makes this statement correct? $\frac{1}{10}$ l = 0.1 l = ___

1000 ml

10 ml

100 ml ✓

1.0 ml
How many ml are there in the container? ______ ml

'300' ✓
Which of these makes this statement correct? If $\frac{1}{5}$ l = 200 ml then $\frac{3}{5}$ l = ___

200 ml

800 ml

600 ml ✓

400 ml

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

1 mm = 0.001km
1 g = 0.001 kg
1 ml = 0.001 l
1 m = 0.001 km

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

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.