Short Blocks

Maths Year 5 Summer Addition and Subtraction

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

Mental add/subt strategies revision (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Write on the board 4658 + 198 and 4658 + 205. Children work in pairs, one to work out each calculation. What do you notice about 198 and 205? What calculation could you work out that will help both of you? Agree that 4658 + 200 will be a useful step towards calculating both additions. Repeat with additions/subtractions of other near multiples.
Group Activities
-- Add, then subtract near multiples of 10, 100, 1000 to/from 5468.
-- Add/subtract near multiples of 10, 100, 1000 to/from 23,456.

Day 2 Teaching
Show the children some ‘Mental addition and subtraction’ calculations, all to be worked out mentally. No written column methods are allowed today! Point to £2.68 + □ = £3. Discuss, in pairs, what number fact can be used to help find the answer. Repeat with others that entail different mental strategies, including place value addition and subtraction.
Group Activities
-- Play fluency challenges – pairs to 100, £1 and 1 (numbers with two decimal places), then play an online game using pairs to 1.
-- Play against the clock, matching mental calculations to answers.

Day 3 Teaching
Write these equations on the board: 134 + 8 = 200 − □; 32 × 4 = □ × 2; 48 ÷ 4 = 12 × □; 3.6 × □ = 10 – 2.8
Tell me what you see. What do these equations mean? Emphasise that each equation must balance. Go through the equations, in turn: What numbers are missing? Work in groups of four to play a number sentences ‘Consequences’ game, to generate equations that balance, e.g. four different operations, each with the answer 72.
Group Activities
-- Write sets of balancing equations, using a mix of operations in each equation and across each set.

You Will Need

  • Mini-whiteboards and pens
  • Flipchart and pens
  • ‘Add and subtract near multiples’ sheets 1 and 2 (see resources, cut up into cards)
  • ‘Mental addition and subtraction’ sheet (see resources)
  • ‘Mental addition and subtraction cards’ (2 sheets - see resources)
  • Scissors
  • Stopwatch or classroom clock
  • Sheets of A4 paper

Mental/Oral Maths Starters

Day 1
Add/subtract 1-digit numbers to/from 4-digit numbers (pre-requisite skills)

Day 2
Complements to 100 (pre-requisite skills)

Suggested for Day 3
Double numbers with one decimal place (simmering skills)

Worksheets

Day 1
Add/subtract multiples of 10, 100, 1000, then related near multiples.
Add/subtract near multiples of 10, 100 and 1000.

Day 2
Mental calculations using number facts and place value.

Day 3
Solve equalities using a range of operations.

Mastery: Reasoning and Problem-Solving

  • How many times must I add 7 to 7728 get to 7777?
  • Subtract 205 from each of…
    12,321
    45,254
    20,062
  • What will the ones digit of your answer be if you carry out the following sequence?
    1. Start with 30,460.
    2. Add 9999
    3. Subtract 999
    4. Add 99
    5. Subtract 9
    6. What’s your final number?
  • What numbers must be subtracted from 21,234 to leave:
    9999
    19,235
    21,035
  • Complete each sentence:
    £4.36 + ☐ = £5
    £6.72 + ☐ = £10
    4.83 + ☐ = 10
  • Write the value of each shape.
    701 – ★ = 3 × 152
    (6.25 × 6) + ☐ = 120 ÷ 3
    100 – 55.68 = 1/2 of Δ
  • Here is an equation with two empty spaces. What ONE number will make the equation balance?
    (34 × 5) – ☐ = 4 × ☐ × 4

In-depth Investigation
Use the whole-class group activity on Day 3.

Extra Support

Reach 100
Place digits in a 2 × 2 grid so that the four 2-digit numbers made total 100. Can this be done on a 3 × 3 grid? Reach 100 from nrich.maths.org.