A
B

# Week 1- 3 Fractions

National curriculum content

• Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
• Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
• Recognise and use fraction as numbers: unit fractions and non-unit fractions with small denominators
• Recognise and show, using diagrams, equivalent fractions with small denominators
• Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7]
• Compare and order unit fractions, and fractions with the same denominator
• Solve problems that involve all of the above

Lesson objectives

1. Make the whole
2. Tenths
3. Count in tenths
4. Tenths as decimals
5. Fractions on a number line
6. Fractions of a set of objects (1)
7. Fractions of a set of objects (2)
8. Fractions of a set of objects (3)
9. Equivalent fractions (1)
10. Equivalent fractions (2)
11. Equivalent fractions (3)
12. Compare fractions
13. Order fractions
15. Subtract fractions

What we want children to know

• See that when a fraction is equivalent to a whole, the numerator and denominators are the same
• Explore what a tenth is and recognise that tenths arise from dividing one whole into 10 equal parts
• Count up and down in tenths using different representations
• Represent fractions beyond one whole
• Find a unit fraction of an amount by dividing an amount into equal groups
• Understand that the denominator of the fraction tells us how many equal parts the whole will be divided into
• Understand that the numerator tells us how many parts of the whole there are
• Apply their knowledge and understanding of fractions to solve problems in various contexts
• Explore equivalent fractions in pairs and begin to spot patterns
• Compare unit fractions or fractions with the same denominator
• Order unit fractions and fractions with the same denominator
• Use practical equipment and pictorial representations to add two or more fractions with the same denominator where the total is less than 1

What skills we want children to develop

Use knowledge to solve reasoning and problem solving questions such as:

True or false?

2/10 of 20cm = 2cm

4/10 of 40cm = 4cm

3/5 of 20cm = 12cm

What do you notice?

Find 2/5 of 10

Find 4/10 of 10

What do you notice?

Can you write any other similar statements?

Continue the pattern

Can you make up a similar pattern for eighths?

The answer is 5/10, what is the question? (involving fractions/operations)

Mathematical talk

• Is a fraction always less than one?
• When we get to 10/10 what else can we say? What happens next?
• How do we label fractions larger than one?
• What does the numerator tell us?
• Can a fraction have more than one equivalent fraction?
• Which is the largest fraction? Which is the smallest fraction?
Top