Use known facts to derive common conversions over 1 | Maths

Starter quiz

Identify the unit fractions.

$\frac{1}{5}$ ✓

$\frac{1}{7}$ ✓

$\frac{1}{2}$ ✓

$\frac{3}{5}$

$\frac{2}{4}$
Match the fraction notation with the decimal notation that is equivalent.

1 $\frac{1}{4}$

⇔

1.25 ✓

1 $\frac{3}{4}$

⇔

1.75 ✓

1 $\frac{7}{10}$

⇔

1.7 ✓

1 $\frac{1}{5}$

⇔

1.2 ✓
$\frac{3}{4}$ km = 0.75 km = ______ m

'750' ✓
$\frac{4}{5}$ m = 0.8 m = ______ mm

'800' ✓
$\frac{7}{10}$ l = 0.7 l = ______ ml

'700' ✓
How many ml of water is in this container? ______ ml

'400' ✓

Exit quiz

Look at the image. What is this mass as a decimal?

0.4 kg

1.4 kg ✓

4.1 kg

14 kg
Look at the image. What is this mass as a mixed number?

1 $\frac{1}{4}$ kg

1 $\frac{4}{6}$ kg

1 $\frac{4}{10}$ kg ✓
Convert 5.6 kg into grams.

5,600 g ✓

560 g

500 g

5,000 g
Convert 7.25 l into ml.

7,000 ml

725 ml

7,250 ml ✓

700 ml
Convert 1.4 kg into grams. ______ g

'1,400 ' ✓
Convert 8.75 km into m. ______ m

'8,750 ' ✓

Worksheet

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Lesson Details

Key learning points

If 1 km is equal to one lot of 1,000 m, then 3 km is equal to three lots of 1,000 m, which is 3,000 m
If 1 l = 1,000 ml, then 4 l = 4 x 1,000 ml = 4,000 ml

Common misconception

Pupils may see, for example, 3.25 kg and convert it to 3 kg and 25 g rather than 3 kg and 250 g.

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

Keywords

Equivalent - When two or more things have the same value.
Convert - Change a value or expression from one form to another.