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.