Short Blocks

Maths Year 3 Spring Fractions (A)

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

Concept of a fraction; halving (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Using different-shaped pieces of paper. Use these to demonstrate tearing into halves, and then tearing each half in two to get quarters. Demonstrate, using different shapes, and asking how each one can be divided into thirds. Use a strip of 8 shapes to divide into halves and quarters to show 1/4 of 8 = 2.
Group Activities
-- Place counters on each half/third/quarter of strips of paper to find fractions of amounts.
-- Fold strips of 12 and 24 objects to find 1/2, 1/3 and 1/4 of 12 and 24.

Day 2 Teaching
Children fold a strip of 7 objects (see resources) in half. Point out each half. Write: 1/2 of 7 is 31/2. Children, in pairs, make a tower of 26 cubes, then break it to find 1/2 of 26. Record. Discuss a jotting. Use a similar jotting to find half of 15.
Group Activities
-- Investigation: Children use cubes to help find half of odd and even numbers, and discuss what they notice.

Day 3 Teaching
Make 46 using place value cards. Split it to show 40 and 6. Ask half the class to halve 40, and the other half to halve 6. Children take the correct place value card. Put the two cards together to show that half of 46 is 23. Repeat to halve 58 and 74.
Group Activities
-- Investigation: Pick a number to start with. If the number is even, halve it; if the number is odd, add 1. Keep going until they get to 1. Try to make the longest and shortest halving chains possible.

You Will Need

  • Large paper rectangle and circle
  • ‘Strips of 6’ sheet (see resources)
  • ‘Strips of 8’ sheet (see resources)
  • ‘Strips of 9’ sheet (see resources)
  • Strips of paper and counters
  • Additional activity sheets (see resources)
  • Cubes

Mental/Oral Maths Starters

Day 1
Count in steps of 1/2 along a number line (pre-requisite skills)

Day 2
Doubles to double 15 (pre-requisite skills)

Suggested for Day 3
Sort odd and even numbers (simmering skills)

Worksheets

Day 1
Use bar models to find 1/2, 1/3 and 1/4 of amounts.

Day 2
Divide strips of odd and even numbers of objects in half. Write matching fraction statements.

Day 3
Halve odd and even 2-digit numbers by partitioning and recombining.

Mastery: Reasoning and Problem-Solving

  • Draw a symmetrical shape. Draw a line dividing it into half. Are your two halves exactly the same?
  • Draw a shape that you can divide into quarters using two straight lines.
  • Match each number to its half:
1412
327
6416
2432
10217
3451

In-depth Investigations:
Halving Odd and Even Numbers. See group activity Day 2 for details.
Halving Chains. See group activity Day 3 for details.

Extra Support

Fair Fractions
Understanding what 1/2 and 1/4 are; Finding 1/2 and 1/4 of amounts (whole number answers)