New
New
Year 5

# Solve problems involving fractions and mixed numbers

I can solve problems involving fractions and mixed numbers.

New
New
Year 5

# Solve problems involving fractions and mixed numbers

I can solve problems involving fractions and mixed numbers.

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## Lesson details

### Key learning points

1. Use the language of unitising '__ groups of __ is equal to __'
2. Partition the mixed number into a whole number and a fraction.
3. Explain which is the most efficient strategy to multiply fractions and mixed numbers.

### Common misconception

Pupils struggle to represent problems as a bar model.

Encourage pupils to draw their own image of what the maths represents. Make connections between their own image and a bar model, linking them both to where the numbers are represented in each image.

### Keywords

• Represent - To represent something means to show it in a different way.

Where possible, provide opportunities for pupils to interpret information that does not automatically provide questions to be answered. Encourage pupils to come up with questions for themselves that they can create based on the information provided.
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).

## Starter quiz

### 6 Questions

Q1.
Tick the equation this bar model represents.
Correct answer: 72 − 44 = ___
44 − 72 = ___
44 + 72 = ___
72 ÷ 44 = ___
Q2.
Tick the equation this bar model represents.
Correct answer: 6 + 6 + 6 + 6 + 6 = ___
6 ÷ 5 = ___
Correct answer: 5 × 6 = ___
Correct answer: ___ ÷ 5 = 6
Q3.
Tick the correct expressions that represent the image
4 × $$\frac{6}{5}$$
5 × $$\frac{5}{6}$$
Correct answer: 4 × $$\frac{5}{6}$$
Correct answer: $$\frac{5}{6}$$ × 4
Q4.
Estimate the value of this expression. Give your estimate as a whole number. $$3\frac{2}{15}$$ × 2
Q5.
Give the missing numerator.
Q6.
Tick the product of this equation. $$1\frac{3}{7}$$ × 3 = ___
$$1\frac{9}{7}$$
$$2\frac{2}{7}$$
$$6\frac{6}{7}$$
$$3\frac{3}{7}$$
Correct answer: $$3\frac{9}{7}$$

## Exit quiz

### 6 Questions

Q1.
Write the answer to the following equation. 4 × $$\frac{5}{10}$$ =
Correct Answer: 2, two, two wholes
Q2.
Tick the correct expressions that represent the image
4 × $$\frac{5}{9}$$
Correct answer: 2 × $$\frac{5}{8}$$ + 2 × $$\frac{5}{8}$$
4 + $$\frac{5}{8}$$
2 + 2 × $$\frac{5}{8}$$
Q3.
Tick the equation this bar model represents.
Correct answer: $$\frac{4}{9}$$ × 4 = ___
$$\frac{4}{9}$$ × 3 = ___
Correct answer: 4 × $$\frac{4}{9}$$ = ___
Correct answer: ___ ÷ 4 = 4 × $$\frac{4}{9}$$
Q4.
Tick the context that could be represented by this image.
Correct answer: Alex has 5 lessons that all last for $$\frac{3}{4}$$ of an hour.
Correct answer: Izzy practises piano for $$\frac{3}{4}$$ of an hour, five days a week.
Sofia fills $$\frac{3}{4}$$ of a glass with milk for breakfast every day.
There was $$\frac{3}{4}$$ of the cake remaining after the party.
Q5.
Tick the bar model that best represents the problem. Andeep waters the plants for three nights. Each night, he fills up the watering can so it is $$\frac{3}{4}$$ full. How much water does he use?
Correct Answer: An image in a quiz
Q6.
Sam climbs every week for $$1\frac{1}{4}$$ hours. He does this for four weeks in a row. It costs him £5 per hour. How much money does he pay for the four weeks?
Correct Answer: 25, twenty five , £25