Short Blocks

Maths Year 2 Spring Fractions

Each unit has everything you need to teach a set of related skills and concepts.

Unit 1 Find fraction of shapes (1/2, 1/4, 1/3) (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Demonstrate halves and quarters by asking children to fold a piece of A4 paper into first 1/2 and then into 1/4s. Stress that these are equal parts of the shape. Then fold another piece of paper into 1/3s.
Group Activities
Use the in-depth problem-solving investigation ‘Halving’ from NRICH as today’s group activity.
Or, use these activities:
-- Identify whether shapes are correctly divided into halves, quarters or thirds.
-- Fold shapes into halves, quarters or thirds.

Day 2 Teaching
Draw a square; divide it into 1/4s. Shade 3/4. How much is coloured? Record ‘three quarters’ and 3/4. Ask children to draw a square on their whiteboard and to colour in 3/4 in a different way to yours. Repeat for an oblong and a circle. Show a variety of children’s whiteboards.
Repeat for thirds, using a square, oblong and a circle.
Group Activities
-- Shade 1/4s or 1/3s of shapes.
-- Design then play snap or pairs with fractions and shaded shapes.

You Will Need

  • Pieces of A4 paper
  • ‘Square and circle’ sheet (see resources)
  • ‘Shapes divided into two or four parts’ sheet (see resources)
  • ‘Shapes divided into two, three or four parts’ sheet (see resources)
  • Additional activity sheets (see resources)
  • Card & colouring pencils

Mental/Oral Maths Starters

Suggested for Day 1
Odds and evens (simmering skills)

Suggested for Day 2
Doubles (simmering skills)

Mastery: Reasoning and Problem-Solving

  • Fold an oblong into quarters.
    Can you take an identical oblong and fold it into quarters in a different way?
  • Draw around 6 squares in a row in your maths book. Now colour one third of this ‘strip’.
  • How much of each strip is shaded?
    Diagram 1
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Diagram 2

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Diagram 3

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Diagram 4

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  • Katie says that the shaded part of this strip is 1/3 of the whole because there is 1 part shaded out of 3 parts in the whole.
    Do you agree?

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In-depth Investigation: Halving
Find creative ways to split squares into halves. Halving from nrich.maths.org.

Extra Support

Birthday Cards
Finding halves of shapes by folding

Unit 2 Find fractions of amounts (1/2, 1/4, 1/3) (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Count out 10 sweets and show how we can share these with a friend by splitting into 2 piles, or by knowing the number fact. Repeat to share 8 cubes between 4 friends - into quarters. Stress each quarter is the same. Repeat to share 12 cubes into thirds. Stress that each third is the same.
Group Activities
Use the in-depth problem-solving investigation ‘Fair Feast’ from NRICH as today’s group activity.
Or, use this activity:
-- Share cubes to find 1/2s, 1/4s and 1/3s of amounts.

Day 2 Teaching
Show children a box of 16 pens. Say the office has ordered pens and we are allowed to keep 1/4 of them. Discuss ways of finding 1/4 of 16. Include finding half and half again. Repeat to find 1/4 of 20 pens.
Group Activities
-- Solve stationery fraction problems.
-- Explore finding 1/2s and 1/4s of various numbers.

Day 3 Teaching
Show children 12 Smarties™ and 2 cakes. Discuss how we can share the Smarties™ fairly between the cakes. Repeat with 4 cakes. Now we need to find 1/4 of the sweets. Repeat with 3 cakes. Now we need to find 1/3 of the sweets.
Group Activities
-- Find Smartie™ fractions through sharing.
-- Sort numbers according to sharing results.

You Will Need

  • ‘Fractions cards’ sheets (see resources)
  • Cubes, board pens & piece of A4 paper
  • ‘Stationery problems’ sheet (see resources)
  • ‘Number cards’ sheet (see resources)
  • Doubles and halves dartboard from topmarks.co.uk
  • Addtional activity sheets (see resources)
  • Play dough, cupcakes & Smarties

Mental/Oral Maths Starters

Day 1
Halving (pre-requisite skills)

Suggested for Day 2
Doubling (simmering skills)

Suggested for Day 3
Telling the time (simmering skills)

Worksheets

Day 1
Finding fractions of numbers using cubes.

Day 2
Halving and quartering numbers using number facts.

Day 3
Finding fractions of bigger numbers.

Mastery: Reasoning and Problem-Solving

  • Use the image to complete each number sentence, using <, > or =.
1/21/2
1/31/31/3
1/41/41/41/4

1/2 ☐ 1/3
2/4 ☐ 1/2
1/4 ☐ 1/3

  • Complete each sentence.
    1/4 of 20 is _____
    1/3 of 12 is _____
    1/2 of 24 is _____
  • Look at this bar diagram:
12
3333

It shows that 1/4 of 12 is 3
Write a fraction sentence to match each bar diagram below:
Diagram 1

22
1111

Diagram 2

15
555

Diagram 3

8
2222
  • 18 children are in a class and 1/3 are boys. How many are girls?
    10 of the 15 children in a class are girls. What fraction are boys?


In-depth Investigation: Fair Feast
Help Petros and Michael to share a picnic equally. Fair Feast from nrich.maths.org.

Extra Support

Fair Cakes
Finding half of quantities by sharing