Starter quiz
- Which pairs of equivalent fractions can you see in the image?
- =
- = ✓
- =
- = ✓
-
- Which fractions could you use to describe the shaded fraction of this shape?
-
- ✓
-
- ✓
- ✓
-
- Which fractions represent the shaded part of the number line?
- ✓
-
- ✓
-
- ✓
-
- Match the parts of the sentences so that they describe equal parts of a whole.
- 1 is the same proportion of 2 as⇔2 is of 4 ✓
- 1 is the same proportion of 3 as⇔2 is of 6 ✓
- 1 is the same proportion of 4 as⇔2 is of 8 ✓
- 1 is the same proportion of 5 as⇔2 is of 10 ✓
- Which of these equations will give an answer of zero?
- − =
- − =
- − = ✓
- − = ✓
-
- Which of these equations will give the same answer?
- + =
- + = ✓
- + = ✓
- + =
-
Exit quiz
- Which of these images represent equivalent fractions?
- Match the statements which describe the digits in these fractions.
- The numerator⇔increases by 1 each time. ✓
- The denominator⇔is always a multiple of 4 ✓
- The numerator is⇔the top number in the fraction. ✓
- The denominator is⇔the bottom number in the fraction. ✓
- What is the relationship between the numerator and the denominator in these fractions?
- The denominator is 3 more than the numerator.
- The denominator is double the numerator.
- The denominator is 4 times the value of the numerator. ✓
- The numerator is 4 times the value of the denominator.
-
- Complete this sentence: In all fractions equivalent to one half, ...
- the denominator is half the value of the numerator.
- the denominator is 2 more than the numerator.
- the numerator is 2 more than the denominator.
- the denominator is double the value of the numerator. ✓
- the numerator is half the value of the denominator. ✓
-
- Match the definitions of these equivalent fractions.
- Fractions equivalent to⇔The denominator is 5 times the value of the numerator. ✓
- Fractions equivalent to⇔The denominator is 3 times the value of the numerator. ✓
- Fractions equivalent to⇔The denominator is 4 times the value of the numerator. ✓
- Fractions equivalent to⇔The denominator is 6 times the value of the numerator. ✓
- Which fractions are equivalent to ?
-
- ✓
-
- ✓
-
-
Worksheet
Loading worksheet ...
Presentation
Loading presentation ...
Lesson Details
Key learning points
- Equivalent fractions share the same multiplicative relationship between the numerator and denominator.
- If a fraction is equivalent to a half, the numerator will be half the value of the denominator.
- If a fraction is equivalent to fifth, the denominator will be 5 times the value of the numerator.
Common misconception
Children do not always see the link between the numerator and the denominator in equivalent fractions. This lesson highlights that link and the fact that the proportion of the whole is the same.
Use the stem sentences and generalisations in the lesson to describe the fractions and to relate them to the representations used.
Keywords
Numerator - The numerator is the top number in a fraction and shows how many parts we have.
Denominator - The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.
Equivalent fraction - Equivalent fractions are fractions which have the same value, even though they may look different.
+