Short Blocks

# Maths Year 5/6 Summer Division, Fractions and Percentages

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

## Division done(suggested as 3 days)

### Planning and Activities

Day 1
Model short division to find 2381 ÷ 3 using sticky notes and base-10 equipment, or the ‘Short division 1’ presentation. Repeat with 1381 ÷ 6 and 1281 ÷ 5 using just the sticky notes.
Group Activities: T with Y5
Y5 -- Investigate short division of given 3-digit numbers. Explain a pattern in the remainders.
-- Investigate short division of given 4-digit numbers. Explain a pattern in the remainders.
Y6 -- Division investigation (square a prime number, add 14, divide by 12, note the remainder).

Day 2
Use the ‘bus shelter’ short division layout to model 5466 ÷ 4. Agree that we can divide the remainder 2 by 4 to give 2/4. How can we simplify this? Agree the answer as 1366¹/2. Repeat for 5120 ÷ 6. Write 5118 ÷ 6. What do you think will be the answer to this? Can you suggest other divisions by 6 that will not have a remainder? A division that will have 1/6 in the answer?
Group Activities: T with Y5/6 activity
Y5 -- Make a 3-digit number; divide by a fourth number. Score the remainder.
Y5/Y6 -- Divide 4-digit numbers by 1-digit numbers, investigating largest possible fraction remainders.
Y6 -- Divide 4-digit numbers by 1-digit numbers, investigating largest possible fraction remainders.

Day 3
Write: 472 ÷ 4, 3958 ÷ 3, 2786 ÷ 4, 7975 ÷ 4. Children agree an estimate for each. Take feedback on strategies. Model finding 2786 ÷ 4; express the remainder as fraction and simplify. Children calculate 2054 ÷ 3, then write a division with an answer >1000 and one with an answer <1000.
Further Teaching with Y6
Write 555, pointing out that this 3-digit number has all digits the same. Ask children to add the three digits, then calculate 555 ÷ 15, estimating first. Show, using long division.
Group Activities: T with Y6
Y5 -- Use the ‘Remainder runners’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Practise short division of 3- and 4-digit numbers, creating calculations with number cards.
Y6 -- Use short or long division to investigate properties of divisibility.

### You Will Need

• ‘Short division 1’ presentation (see resources)
• 1000s, 100s, 10s and 1s base-10 equipment
• Sticky notes, 0–9 digit cards
• Mini-whiteboards and pens
• ‘Short division 2’ presentation (see resources)
• ‘Short division 3’ presentation (see resources)
• ‘Amazing 6720’ (see resources)

### Short Mental Workouts

Day 1
Division facts for the 6 times table

Day 2
Division loop cards

Day 3
Division facts

### Worksheets

Day 1
Y5: Practise short division of 3-digit by 1-digit numbers, with remainders.
Practise short division of 4-digit by 1-digit numbers, with remainders.
Y6: Complete a division investigation involving prime numbers.

Day 2
Y5: Calculate multiplications; use them to choose 3-digit numbers to divide by 3, 4 and 5 to give answers within given ranges.
Practise dividing 4-digit numbers, expressing remainders as fractions.
Y6: Use short division to divide 4-digit numbers by 1-digit numbers.

Day 3
Y5: Use short division to divide 3-digit and 4-digit numbers by 1-digit numbers.
Y6: Complete one of two division investigations. Make observations, generalise, explore proofs.

### Mastery: Reasoning and Problem-Solving

Y5

• Find:
581 ÷ 7 = ☐
3456 ÷ 5 = ☐
5400 ÷ 9 = ☐
• A farmer is packing eggs. Each box holds six eggs. The farmer has 890 eggs to pack. How many boxes will the farmer fill?
• Fill the missing boxes to give an answer with fraction remainders as follows:
187 ÷ ☐ = ____1/2
331 ÷ ☐ = ____3/4
☐ ÷ 10 = ____2/5

Y6
This unit has no separate problem-solving activities for Y6.

Y5 In-depth investigation: Remainder runners
Children divide 1234, 2345, 3456 by 3, 4, 5 … 12 and look for patterns in the remainders.

Y6 Complete Group Activity from Day 1, Day 2 or Day 3.

### Extra Support

Y5
Chunking Champs
Using chunking to divide, answers between 10 and 30, with remainders.

Y6
This unit has no separate Extra Support activities for Y6