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- Year 2
Recognise the equivalence of 2/4 and 1/2
I can recognise and explain the equivalence of one-half and two-quarters.
- Year 2
Recognise the equivalence of 2/4 and 1/2
I can recognise and explain the equivalence of one-half and two-quarters.
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Lesson details
Key learning points
- When a whole is divided in half, there are 2 equal parts.
- When a whole is divided into quarters, there are 4 equal parts.
- Two-quarters and one-half are equivalent because they describe the same amount when the wholes are the same size.
Keywords
One-half - 1 of 2 equal parts of a whole.
Two-quarters - 2 of 4 equal parts of a whole.
Equivalent - When two or more things have the same value.
Common misconception
Children may initially think that two quarters is larger than one-half because the numerals in the fraction are larger.
Try to avoid introducing the fractions in numeral form until children are familiar with recognising two-quarters in different representations such as shapes and small sets. Support understanding with stem sentences as modelled in this lesson.
To help you plan your year 2 maths lesson on: Recognise the equivalence of 2/4 and 1/2, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 2 maths lesson on: Recognise the equivalence of 2/4 and 1/2, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 1 maths lessons from the Fractions: identify equal parts and be familiar with halves, thirds and quarters unit, dive into the full primary maths curriculum, or learn more about lesson planning.
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Prior knowledge starter quiz
6 Questions
Q1.When the whole has been divided into equal parts, each part is one-quarter.
Q2.Match to form the equation.
$$ \frac{1}{2} $$ of 20 = -
10
$$ \frac{1}{2} $$ of 18 = -
9
$$ \frac{1}{2} $$ of 12 = -
6
$$ \frac{1}{2} $$ of 16 = -
8
$$ \frac{1}{2} $$ of 14 = -
7
Q3.Match the sentences that link half and double these numbers.
Double 4 = 8 -
Half of 8 = 4
Double 7 = 14 -
Half of 14 = 7
Double 5 = 10 -
Half of 10 = 5
Double 10 = 20 -
Half of 20 = 10
Q4.Look at the model. Match the whole and its parts with the number that represents them.
Whole -
20
$$ \frac{1}{4} $$ -
5
$$ \frac{3}{4} $$ -
15
Q5.Match to form facts that can be shown by this model.
$$ \frac{1}{4} $$ is -
3
$$ \frac{2}{4} $$ is -
6
$$ \frac{3}{4} $$ is -
9
$$ \frac{4}{4} $$ is -
12
Q6.What is $$ \frac{3}{4} $$ of 20 p? p
Assessment exit quiz
6 Questions
Q1.Match the image to the fraction that represents it.
A -
$$ \frac{3}{4} $$
B -
$$ \frac{2}{4} $$
C -
$$ \frac{1}{4} $$
D -
$$ \frac{4}{4} $$
Q2.12 sweets have been divided into 4 equal parts. Match the number of sweets to the correct number of quarters.
$$ \frac{1}{4} $$ of 12 = -
3
$$ \frac{2}{4} $$ of 12 = -
6
$$ \frac{3}{4} $$ of 12 = -
9
$$ \frac{4}{4} $$ of 12 = -
12
Q3.True or false. One-half and two-quarters are equivalent.
Q4.Which shape does not show $$ \frac{2}{4} $$?
Q5.Which equations does this model represent?
Q6.$$ \frac{2}{4} $$ of 20 =
