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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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.