Short Blocks

Maths Year 5 Summer Multiplication and Division (A)

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

Mental multiplication/division problems (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Write 10 × 46 = 460. Use this to find 5 × 46, 15, × 46, 20 × 46, 21 × 46. How could we work out 19 × 46? Children multiply even 2-digit numbers by 10, then 5, 20 and 21. Children write answers to 20 × 6, 30 × 6, 20 × 7, 30 × 7, 20 × 8 and 30 × 8. Use these facts to help work out answers to division: 123 ÷ 6, 154 ÷ 7 and 244 ÷ 8, writing any remainders as fractions.
Group Activities
-- Multiply 3, 4 and 6 by 10, 20 and 30; use these facts to help work out divisions, writing remainders as fractions.
-- Multiply 6, 7 and 8 by 20, 30 and 40, then find divisions with answers in given ranges.

Day 2 Teaching
Display and read: A tea shop has 27 trays of shortbread. Each tray is divided so it holds 20 pieces of shortbread. How many pieces of shortbread are there? What do we need to do to the numbers in this problem to solve it? Can we work out this multiplication mentally? Solve and then repeat for: A coach party of 46 people has come to the tea shop. They all want scones. Scones come in packs of 4. How many packs are needed?
Group Activities
-- Collaborate to use mental strategies alongside written jottings to solve a series of multiplication and division word problems.

Day 3 Teaching
Display: A Boeing 747 can carry 416 passengers. How many passengers were carried on three such planes if a total of 27 seats were empty? Children read, discuss and agree what they need to do with the numbers in the problem. Take feedback. Agree that we first need to find how many passengers could fly on the 3 planes, then subtract the empty seats. Repeat with a different word problem.
Group Activities
Use the in-depth problem-solving investigation ‘One O Five’ from NRICH as today’s group activity.
Or, use these activities:
-- Solve single- and multi-step word problems using a strategy to lead step-wise through the problem.
-- Create and solve single- and multi-step word problems.1

You Will Need

  • Mini-whiteboards and pens
  • ‘Using known facts to help with divisions’ sheets 1 and 2 (see resources)
  • ‘Multiplication and division word problems’ sheets 1, 2 and 3 (see resources)
  • ‘Holiday word problems’ sheets 1 and 2 (see resources)

Mental/Oral Maths Starters

Day 1
7 times table (pre-requisite skills)

Day 2
8 times table (pre-requisite skills)

Suggested for Day 3
24-hour clock (simmering skills)

Worksheets

Day 1
Multiply 6, 7 and 8 by 10, 20 and 30 or by 20, 30 and 40. Use these facts to help solve divisions, writing remainders as fractions.

Day 2
Work in pairs to read word problems, visualise or represent the context, agree the necessary calculation(s) then answer the problems.

Day 3
Work in pairs to solve ‘holiday’ word problems.

Mastery: Reasoning and Problem-Solving

  • Write the correct symbol (<, = or >) in each box to make the statements correct:
    15 × 10 ☐ 7 × 20
    120 ÷ 6 ☐ 180 ÷ 9
    70 × 30 ☐ 4 × 500
    440 ÷ 4 ☐ 720 ÷ 60
  • A box contains trays of oranges. There are 12 oranges in a tray. There are 5 trays in a box. A grocer sells 30 boxes of oranges. How many oranges does the grocer sell?
  • Write the missing number in each calculation:
    252 ÷ 6 = ☐
    ☐ ÷ 6 = 10 remainder 3
    102 ÷ ☐ = 12³/4

In-depth Investigation: One O Five
Explore the maths behind a ‘trick’ to work out the number someone else is thinking of, using division and remainders. One O Five from nrich.maths.org.

Extra Support

Epic Times Tables
Knowing the 6 and 8 times table and using the 6 and 8 times tables and place value to generate the 60 and 80 times tables