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Year 5

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

I can divide 1 into different numbers of equal parts.

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New

Year 5

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

I can divide 1 into different numbers of equal parts.

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Share activities with pupils

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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.

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.

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.

Emphasise the equivalence when converting fractions to decimals and decimals to fractions. Use the language of scaling to support this understanding and give pupils the opportunity to use representations to explore the fractions with denominators of 10 and 100 and the link to decimals.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.

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

Correct Answer: 25, twenty-five

Q2.

When 100 is divided into 10 equal parts, each part is worth

Correct Answer: 10, ten

Q3.

When 100 is divided into 5 equal parts, each part is worth

Correct answer: 20

Q4.

What fraction of the 100 square is shaded here?

$${1} \over {2}$$

Correct answer: $${1} \over {4}$$

$${1} \over {5}$$

$${1} \over {10}$$

Q5.

What fraction of the 100 square is shaded here?

$${1} \over {2}$$

$${1} \over {4}$$

$${1} \over {5}$$

Correct answer: $${1} \over {10}$$

Q6.

What fraction of the 100 square is shaded here?

$${1} \over {2}$$

$${1} \over {4}$$

Correct answer: $${1} \over {5}$$

$${1} \over {10}$$

Exit quiz

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6 Questions

Q1.

Match the fraction with the equivalent decimal.

Correct Answer:$${1} \over {2}$$,0.5

0.5

Correct Answer:$${1} \over {4}$$ ,0.25

0.25

Correct Answer:$${1} \over {5}$$,0.2

0.2

Correct Answer:$${1} \over {10}$$,0.1

0.1

Q2.

Order the fractions and decimals from the smallest to the largest.

1 - 0.02

2 - $${3} \over {100}$$

3 - $${1} \over {5}$$

4 - 0.3

5 - $${1} \over {3}$$

Q3.

Which two fractions could label point a on the number line?

$${1} \over {5}$$

Correct answer: $${2} \over {5}$$

$${2} \over {10}$$

Correct answer: $${4} \over {10}$$

Q4.

How much liquid is in the jug?

Correct answer: $${1}\over{2}$$

$${1}\over{10}$$

0.1

Correct answer: 0.5

Q5.

What fraction of £1.00 are the 10 p coins worth and what is their value as a decimal?

Q6.

What decimal fraction of the 100 square is shaded?

Correct Answer: 0.4