Explain and represent how to divide 1 into different numbers of equal parts | Maths

Starter quiz

When 100 is divided into 4 equal parts, each part is worth ______

'25' ✓
When 100 is divided into 10 equal parts, each part is worth ______

'10' ✓
When 100 is divided into 5 equal parts, each part is worth ______

5

15

20 ✓

25
$What fraction of the 100 square is shaded here?$

What fraction of the 100 square is shaded here?

${1} \over {2}$

${1} \over {4}$ ✓

${1} \over {5}$

${1} \over {10}$
$What fraction of the 100 square is shaded here?$

What fraction of the 100 square is shaded here?

${1} \over {2}$

${1} \over {4}$

${1} \over {5}$

${1} \over {10}$ ✓
$What fraction of the 100 square is shaded here?$

What fraction of the 100 square is shaded here?

${1} \over {2}$

${1} \over {4}$

${1} \over {5}$ ✓

${1} \over {10}$

Worksheet

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Lesson Details

Key learning points

A point on a number line or scale between 0 and 1 can be represented by equivalent fractions or decimals.
Tenths and hundredths can be represented as fractions and decimals.
Fractions and decimals at the same point on a line or scale are equivalent.

Common misconception

Thinking that the fraction and decimal use the same digits so that one fifth is 1.5 as a decimal. Some may not see that equivalent fractions and decimals represent the same value.

Use representations that allow pupils to see fractions as parts of 10 and 100 to secure the understanding of their equivalent decimal values. Revisit equivalent fractions to model how to convert fractions to their decimal equivalents and vice versa.

Keywords

Equal parts - When we divide, we split an object, number or quantity into equal parts.
Divide - Each equal part has the same value as the others in the whole.
Equivalent - Numbers are equivalent if they have exactly the same value.