Use the language of equivalent fractions correctly | Maths

Starter quiz

Which of these fractions would be closest to 0 on a 0 to 1 number line?
- ${2}\over{10}$
- ${2}\over{12}$ ✓
- ${2}\over{8}$
- ${2}\over{9}$
Which of these fractions would be closest to 1 on a 0 to 1 number line?
- ${8}\over{9}$
- ${8}\over{6}$
- ${8}\over{7}$
- ${8}\over{10}$ ✓
Which of these fractions would be closest to ${1}\over{2}$ on a 0 to 1 number line?
- ${3}\over{8}$
- ${4}\over{10}$
- ${5}\over{12}$
- ${6}\over{14}$ ✓
Which of these fractions would sit between 0 and ${1}\over{2}$ on a 0 to 1 number line?
- ${4}\over{10}$ ✓
- ${4}\over{6}$
- ${4}\over{9}$ ✓
- ${4}\over{12}$ ✓
- ${4}\over{7}$
Which fractions have the same value as ${1}\over{2}$ ?
- ${1}\over{3}$
- ${30}\over{60}$ ✓
- ${4}\over{2}$
- ${4}\over{8}$ ✓
- ${3}\over{60}$
Order these fractions from the smallest to the largest.
- 1
  
  ⇔
  
  ${1}\over{4}$
- 2
  
  ⇔
  
  ${1}\over{3}$
- 3
  
  ⇔
  
  ${3}\over{6}$
- 4
  
  ⇔
  
  ${3}\over{5}$
- 5
  
  ⇔
  
  ${3}\over{4}$

Exit quiz

$Match the pairs of equivalent fractions you can see in the image.$

Match the pairs of equivalent fractions you can see in the image.
- ${1}\over{2}$
  
  ⇔
  
  ${4}\over{8}$ ✓
- ${5}\over{10}$
  
  ⇔
  
  ${15}\over{30}$ ✓
- ${4}\over{8}$
  
  ⇔
  
  ${15}\over{30}$ ✓
- ${15}\over{30}$
  
  ⇔
  
  ${1}\over{2}$ ✓
$Which fractions could you use to describe the shaded fraction of this bar?$

Which fractions could you use to describe the shaded fraction of this bar?
- ${1}\over{3}$
- ${1}\over{4}$ ✓
- ${2}\over{4}$
- ${2}\over{8}$ ✓
- ${10}\over{40}$ ✓
$Which fractions represent the shaded area of the shape?$

Which fractions represent the shaded area of the shape?
- ${2}\over{5}$
- ${3}\over{5}$ ✓
- ${12}\over{20}$ ✓
- ${6}\over{10}$ ✓
$Which fractions represent the highlighted part of the number line?$

Which fractions represent the highlighted part of the number line?
- ${1}\over{2}$ ✓
- ${4}\over{10}$
- ${4}\over{8}$ ✓
- ${2}\over{4}$ ✓
Choose the best phrase to complete the sentence: Equivalent fractions represent ...
- ... the same proportion of the whole. ✓
- ... the same numerator.
- ... the same denominator.
- ... the same difference between the numerator and denominator
Which of these equations are correct?
- ${1}\over{4}$ + ${2}\over{8}$ = ${3}\over{12}$
- ${1}\over{4}$ − ${2}\over{8}$ = 0 ✓
- ${4}\over{8}$ − ${2}\over{4}$ = ${4}\over{8}$
- ${1}\over{4}$ + ${2}\over{8}$ = ${4}\over{8}$ ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

Equivalent fractions have different numerators and denominators but represent the same value.
Equivalent fractions have the same position on a number line.
Equivalent fractions represent the same quantity or area.

Common misconception

Children learn how to spot and create equivalent fractions without realising that they have the same value and have the same position on a number line. The understanding of equivalence is important.

Use the = symbol to record fractions with the same value and the language 'is equal to'. Make use of manipulatives and representations to model equivalence and highlight the equality.

Keywords

Equivalent fractions - Equivalent fractions are fractions which have the same value, even though they may look different.
Proportion - The proportion of a number, shape or group of objects is a part of the whole.