Short Blocks

Maths Year 2 Spring Fractions

Each unit has everything you need to teach a set of related skills and concepts. 'Teaching for Understanding' provides whole-class teaching and fully differentiated adult-led group activities. ‘Problem-solving and Reasoning’ develops these skills, and includes questions to enable you to assess mastery. Practice sheets ensure procedural fluency. Extra support activities enable targeted work with children who are well below ARE.

‘UNIT PLAN’ gives you a text version of all parts of the unit to use in your school planning documentation. ‘DOWNLOAD ALL FILES’ gives you that unit plan plus all of associated documents. These bulk downloads are added value for Hamilton Friends and School Subscribers.

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

Objectives

Find fractions (1/2, 1/4, 1/3) of shapes
Unit 3: ID# 2539

National Curriculum
Fr (i) (ii)

Hamilton Objectives
23. Begin to recognise the equivalence of 2/4 & 1/2 on the number line & in other practical contexts.
24. Understand 1/2, 1/4, 1/3, 3/4, 2/3 as fractions of quantities in a practical context; solve problems using shapes, objects, and quantities.

Teaching and Group Activities for Understanding

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)

Objectives

Find fractions of amounts (1/2, 1/4, 1/3)
Unit 4: ID# 2549

National Curriculum
Fr (i) (ii)

Hamilton Objectives
23. Begin to recognise the equivalence of 2/4 & 1/2 on the number line & in other practical contexts.
24. Understand 1/2, 1/4, 1/3, 3/4, 2/3 as fractions of quantities in a practical context; solve problems using shapes, objects, and quantities.

Teaching and Group Activities for Understanding

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)

Procedural Fluency

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