New
New
Year 5

Explain how dividing by a whole number relates to multiplying by a unit fraction

I can explain how dividing by a whole number relates to multiplying by a unit fraction.

New
New
Year 5

Explain how dividing by a whole number relates to multiplying by a unit fraction

I can explain how dividing by a whole number relates to multiplying by a unit fraction.

Lesson details

Key learning points

  1. Multiplying a number by a unit fraction is equivalent to dividing the number by the denominator of the fraction.
  2. The whole has been divided into 4 equal parts describes dividing into 4 quarters.
  3. The whole has been divided into 4 equal parts describes dividing by 4 (sharing).

Common misconception

Pupils struggle to identify how each of the expressions relate to each other.

Ensure connections are made between the bar models, your language and the expressions. Give particular attention to how the fraction links to how the bar model can be drawn, particularly when dividing the bar model into ___ parts.

Keywords

  • Expression - An expression contains one or more values, where each value is separated by an operator.

  • Equation - An equation is used to show that one number, calculation or expression is equal to another.

  • Denominator - The denominator is the bottom number in a fraction.

Pupils should be able to generalise that when a whole number is multiplied by a unit fraction, the whole number becomes smaller. Encourage pupils to notice this for themselves as well as how to 'undo' the process to get back to the original whole.
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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6 Questions

Q1.
When you multiply a unit fraction by a whole number, the product will always be __________ than the whole number.
larger
Correct answer: smaller
equal to
Q2.
Tick the operation that can replace ‘of’ in a calculation.
Correct answer: ×
+
÷
Q3.
20 = 4 ×
Correct Answer: 5
Q4.
Tick the representation that matches the equation: $$ \frac{1}{3} $$ × b = g
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q5.
Tick the equations that match this bar model.
An image in a quiz
Correct answer: 3 × 5 = 15
5 ÷ 15 = 3
Correct answer: 5 × 3 = 15
Correct answer: 15 ÷ 3 = 5
3 ÷ 5 = 15
Q6.
Write in the correct symbol to compare these two expressions (< > =).
An image in a quiz
Correct Answer: <

6 Questions

Q1.
What is the value of each part?
An image in a quiz
Correct Answer: 4
Q2.
The result of both of these equations will give us a __________ number than what we started with.
An image in a quiz
Correct answer: smaller
larger
Q3.
Tick the expressions that represent the bar model.
An image in a quiz
Correct answer: 30 ÷ 5
5 ÷ 30
Correct answer: 30 × $$ \frac{1}{5} $$
Correct answer: $$ \frac{1}{5} $$ × 30
Q4.
True or false? $$ \frac{1}{4} $$ × 20 = 20 ÷ 4
Correct answer: True
False
Q5.
Fill in the missing number. $$ \frac{1}{6} $$ × 18 = 18 ÷
Correct Answer: 6, six
Q6.
Solve the equation: 100 × $$ \frac{1}{5} $$ =
Correct Answer: 20, twenty