New
New
Year 3

# Use knowledge of non-unit fractions to solve problems

I can use knowledge of non-unit fractions to solve problems.

New
New
Year 3

# Use knowledge of non-unit fractions to solve problems

I can use knowledge of non-unit fractions to solve problems.

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## Lesson details

### Key learning points

1. The whole has been divided (division bar).
2. The whole has been divided into ___ equal parts (denominator).
3. A number of the parts have been selected (numerator).
4. Fractions can be represented in different ways.

### Common misconception

Pupils may struggle to see the 'whole'. If several sets are presented together (e.g. different types of fruit in a bowl), is the whole the sum of all the sets or just one of them?

Encourage children to identify the noun they are finding a fraction of. Is it the apples or bananas, the pandas with hats on or without. From there, they can then go on to identify the part they are being asked to find e.g. the bananas in the bowl.

### Keywords

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

• Numerator - A numerator is the top number written in a fraction.

### 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.
Which of these sentences is correct?
the parts are unequal
four-eighths of the shape is shaded
Q2.
Which of these sentences is correct?
four-eighths of the shape is unshaded
five-eighths of the shape is unshaded
Q3.
Which of these statements are true?
Correct answer: There are eight equal parts.
Correct answer: $$\frac{7}{8}$$ is shaded.
Correct answer: $$\frac{1}{8}$$ is unshaded.
$$\frac{1}{8}$$ is shaded.
Q4.
What fraction of frogs are on the lily pad?
$$\frac{7}{2}$$
$$\frac{2}{8}$$
Correct answer: $$\frac{2}{7}$$
$$\frac{2}{5}$$
Q5.
Sofia works out the fraction of shapes that are shaded. What would the denominator of her fraction be?
Q6.
Jacob works out the fraction of shapes that have an even number of sides. What would the numerator of his fraction be?

## Exit quiz

### 6 Questions

Q1.
Jacob works out the fraction of the shape that is shaded. What would the denominator be?
Q2.
Jacob works out the fraction of the shape that is shaded. What would the numerator be?
Q3.
What fraction of this shape is shaded?
$$\frac{7}{9}$$
$$\frac{4}{9}$$
Correct answer: $$\frac{5}{9}$$
$$\frac{9}{5}$$
Q4.
What fraction of the pizza has been eaten?
$$\frac{1}{5}$$
Correct answer: $$\frac{4}{5}$$
$$\frac{5}{4}$$
$$\frac{4}{6}$$
Q5.
What fraction of bananas are in the bowl?
$$\frac{1}{5}$$
$$\frac{2}{5}$$
Correct answer: $$\frac{3}{5}$$
$$\frac{3}{4}$$
Q6.
What fraction of fruit is in the bowl?
$$\frac{5}{6}$$
$$\frac{8}{10}$$
Correct answer: $$\frac{8}{11}$$
$$\frac{5}{8}$$