Short Blocks

Maths Year 3/4 Spring Division

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

Division (suggested as 4 days)

Planning and Activities

Day 1
Model using multiplication grid to find division facts including remainders, i.e. by tracing along 3s row to find 18 ÷ 3 then 20 ÷ 3.
Further Teaching with Y4
Divide 47 ÷ 3 using an ENL then using a vertical layout. Discuss links between the methods; then repeat for further examples, e.g. 68 ÷ 5, 67 ÷ 3 and 91 ÷ 4.
Group Activities: T with Y4
Y3 -- Division card game, using dice to generate random divisors.
Y4 -- Play a game or investigate dividing 2-digit numbers by 1-digit numbers (with remainders). Reason about patterns of remainders.

Day 2
Recap of vertical division layout – Y4 model for Y3, show how it draws on division facts.
Further Teaching with Y3
Complete blank divisions table – dividing numbers from 19 upwards by 2, 3, 4, 5, etc. and looking for patterns.
Group Activities: T with Y4
Y3 -- Complete blank divisions table, exploring patterns.
Y4 -- Divide 2-digit numbers by 1-digit numbers (with remainders). Some children will divide 3-digit numbers by 1-digit numbers.

Day 3
Find unit fractions. Use a visual model using a strip of 12 objects to find a half, a quarter and a third of 12. Make the connection to division facts then record as a bar model.
Group Activities: T with Y3
Y3 -- Find quarters or eighths using times table facts.
Y4 -- Find unit fractions of quantities using division facts including larger numbers.

Day 4
Recap from previous day then extend to non-unit fractions, i.e. if 1/3 of 18 is 6 what is 2/3? Use a visual model of a 5 × 5 grid of stars to find fifths and also record in a bar model. Also for eighths of 24.
Group Activities: T with Y3
Use the in-depth problem-solving investigation ‘Andy's Marbles’ from NRICH as today’s group activity.
Or, use these activities:
Y3 -- Write multiplication, division and fraction sentences about arrays.
Y4 -- Using bar models, write fraction sentences to go with multiplication sentences for 24 and 40. Some children create a poster to explain how to find non-unit fractions.

You Will Need

  • ‘Multiplication grid’ (see resources)
  • Number cards 1–100
  • 1–6 dice, labelled with handwritten stickers 2, 3, 4, 5, 8, 10
  • 1-100 grid
  • Day 2 Y4 practice sheets
  • Counters, Cubes
  • Large multiplication grid
  • ‘Blank divisions table 1’ and ‘Blank divisions table 2’ (see resources)
  • ‘Strips of 12 objects’ (see resources)
  • ‘Bar models’ (see resources)
  • ‘Finding non-unit fractions 1’ and ‘Finding non-unit fractions 2’ (see resources)

Short Mental Workouts

Day 1
Division facts for 3 times table

Day 2
Place value subtraction chains

Day 3
Practise the 8 times table

Day 4
Finding fractions of numbers

Worksheets

Day 1
Y3: Divide 2-digit numbers by 2, 3, 4, 5, 8, and 10.
Y4: Divide 2-digit numbers to give remainders.

Day 2
Y3: Function machines to divide by 2, 3, 4, 5, 8, and 10.
Y4: Divide 2- and 3-digit numbers by 1-digit numbers.

Day 3
Y3: Find unit fractions, using a bar model for support. Find unit fractions of numbers to 40.
Y4: Find unit fractions of 3-digit multiples of 10.

Day 4
Y3: Find unit, then non-unit fractions of numbers. Find non-unit fractions of numbers.
Y4: Find non-unit fractions of 2-digit numbers; then 3-digit multiples of 10.

Mastery: Reasoning and Problem-Solving

Y3

  • Mystery number Which ONE number makes this sentence true?
    ☐ ÷ 6 = 24 ÷ ☐
  • Which number between 30 and 40 can be divided by the most numbers leaving no remainders?

Y4

  • Find 1/8, then 3/8 and then 5/8 of 24.
  • Write the missing numbers.
    ___ of 15 is 5
    2/3 of ___ = 14
    3/5 of 20 = ____
    ___ of 10 = 4
  • Which is bigger, 2/5 of 35 or 3/8 of 32?

In-depth investigation: Andy's Marbles
Calculate fractions of numbers to help Andy work out how many of his marbles have been lost or given away. Andy's Marbles from nrich.maths.org.

Extra Support

Y3
Fruit Strips
Find 1/4 of numbers by folding strips.

Y4
Leftovers
Use ‘chunking’ to divide numbers just beyond the times tables, including with remainders.