Short Blocks

Maths Year 3 Summer Fractions

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

Fractions of amounts (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Children find different unit fractions of 12 and 16 cubes, making links to division facts.
Group Activities
-- Investigate unit fractions of different target numbers.

Day 2 Teaching
Show a bar model representing fifths of 25. How much is 1/5? Use this to find 2/5, 3/5, and 4/5 of 25.
Repeat for sixths of 24. Then find 5/6, discussing how one way is to count on 4, 8, 12, etc. but that is quicker to multiply 4 by 5. Repeat for eighths of 24. Then try 3/4 of 20 and 2/3 of 15 without a bar model.
Group Activities
Use the in-depth problem-solving investigation ‘Does it or not?’ as today’s group activity.
Or, use these activities:
-- Solve non-unit fraction questions by playing a card game.
-- Create and play non-unit fraction bingo.

You Will Need

  • Cubes
  • Mini whiteboards and pens
  • ‘Non-unit fraction cards’ sheet 1 (see resources)
  • ‘Non-unit fraction cards’ sheets 2 and 3 (see resources)
  • A5 card and counters
  • ‘Bingo boards’ (see resources)

Mental/Oral Maths Starters

Day 1
Division facts for 5 times table (pre-requisite skills)

Day 2
Division facts for 3 times table (pre-requisite skills)

Worksheets

Day 1
Find unit fractions of given numbers using division/ tables facts and equipment to support.

Day 2
Find non-unit fractions of given numbers using division/ tables facts and equipment to support.

Mastery: Reasoning and Problem-Solving

  • True or false?
    -- A piece of paper folded equally in 3, then folded in half is divided into sixths when you open it out.
    -- 1/3 of a piece of paper is larger than 2/6 of the same piece.
    -- Two eighths make a quarter.
    -- 2/5 of 5 is 2.
    -- 3/8 of 16 is 5.
  • Draw a bar model to represent each question:
    (a) 3/8 of 32?
    (b) 4/5 of 40?
    (c) 5/6 of 42?
    Write the answers.
  • Write < or > or = between these two statements:
    3/5 of 40
    2/3 of 30

In-depth Investigation: Does It or Not?
Children find numbers between 50 and 100 which they can divide by 4. They halve each number twice to find out

Extra Support

On All Fours
Investigating the properties of numbers that divide by 4 to give a whole number answer