Short Blocks

Maths Year 5 Summer Multiplication and Division (B)

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

Division problems with short division (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Model short division to find 2381 ÷ 3. Cover the digits 3, 8 and 1 with a sticky note. Make 2381 using base-10 equipment or use the ‘Short division 1’ presentation. Point out that we cannot make a group of three 1000s blocks from the two 1000s blocks available. Move the sticky note to reveal the 3. Change the two 1000 blocks for twenty 100 blocks. How many 3s in 23? Continue the division to give answer 793 r 2. Repeat with 1381 ÷ 6 and 1281 ÷ 5 using just the sticky notes.
Group Activities
-- Investigate short division of given 4-digit numbers. Explain a pattern in the remainders.

Day 2 Teaching
Use the ‘bus shelter’ short division layout to model calculating 5466 ÷ 4. Agree the remainder as 2. We can divide 2 by 4 to give 2/4. How can we simplify this? Agree the answer as 1366¹/2. Repeat for 5120 ÷ 6, agreeing an answer of 853¹/3. 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
Use the in-depth problem-solving investigation ‘Remainder runners’ as today’s group activity.
Or, use these activities:
-- Make a 3-digit number; divide by a fourth number. Score the remainder.
-- Divide 4-digit numbers by single-digit numbers, investigating largest possible fraction remainders.

Day 3 Teaching
Write: 472 ÷ 4, 3958 ÷ 3, 2786 ÷ 4, 7975 ÷ 4. Children agree an estimate for each. Take feedback on how they did this. Model a calculation of 2786 ÷ 4 using base-10 equipment or use the presentation provided. Express the remainder as fraction and simplify to 696¹/2. Children calculate 2054 ÷ 3 on their whiteboards. Challenge children to write a division with an answer of more than 1000 and one with an answer of less than 1000.
Group Activities
-- Practise short division of 3- and 4-digit numbers, creating calculations with number cards.

You Will Need

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

Mental/Oral Maths Starters

Day 1
Division facts for the 6 times table (pre-requisite skills)

Suggested for Day 2
Place value in 6-digit numbers (simmering skills)

Day 3
Division facts (pre-requisite skills)

Worksheets

Day 1
Practise short division of 3-digit numbers with remainders.
Practise short division of 4-digit numbers with remainders.

Day 2
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, simplifying where possible.

Day 3
Use short division to divide 3-digit and 4-digit numbers by 1-digit numbers.

Mastery: Reasoning and Problem-Solving

  • 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

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

Extra Support

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