Short Blocks

Maths Year 3/4 Spring Addition & Subtraction (B)

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

Column addition (suggested as 4 days)

Planning and Activities

Day 1 Teaching
Remind children how to use expanded addition to calculate 728 + 153, leaving a line above the answer for the extra tens, then modelling 567 + 158 showing how we need to add an extra 10 and 100. Repeat for trios of numbers, first estimating the totals.
Group Activities: T with Y3
Y3 -- Use expanded addition to add two 3-digit numbers. Some children will begin to use compact addition.
Y4 -- Apply compact addition skills to add trios (or pairs) of 3-digit numbers, aiming for given target totals.

Day 2 Teaching
Use both expanded and compact column addition to calculate the same addition. Children try each method, then say which they prefer.
Further Teaching with Y4
Remind children how to use expanded addition to add £3.24 and £2.58, then model compact addition.
Group Activities: T with Y4
Use the ‘Next door additions’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
Y3 -- Target totals: make additions with a total less than 500 and more than 500. Some children will use expanded addition; others will use compact addition. They then choose their preferred layout to calculate other additions.
Y4 -- Add pairs of amounts of money using expanded and then compact addition.

Day 3 Teaching
Use IWB £1, 10p and 1p coins to show addition of pennies, then 10p coins to amounts on a place value grid, crossing multiples of 10p and £1. Show how to use expanded and compact addition to add amounts of money (1p coins >10p, 10p coins >£1).
Group Activities: T with Y3
Y3 -- Add multiples of 1p and 10p to given prices.
Y4 -- Use expanded addition and compact addition to add amounts of money. Some children will rank calculations in order of difficulty; explain reasoning.

Day 4 Teaching
Use IWB £1, 10p and 1p coins to show addition of 10p, 20p and 4p to prices.
Further Teaching with Y4
Show how to use compact addition to add two prices.
Group Activities: T with Y4
Y3 -- Use place value grids to help add multiples of 10p to given prices. Some children will count on in tens to add multiples of 10p.
Y4 -- Apply compact addition skills to add pairs/trios of 3-digit amounts of money.

You Will Need

  • Hundreds, tens and ones place value cards
  • ‘Adding two 3-digit numbers’ sheet (see resources)
  • Number cards 1–9
  • ‘Addition cards’ (see resources)
  • ‘Adding amounts of money’ activity sheet (see resources)
  • ‘On board practice 1 and 2’ (see resources)
  • 1p, 10p and £1 coins
  • ‘Money place value grid’ (see resources)
  • IWB coins
  • 1–6 dice and 0–9 dice
  • ‘On board practice 2’ (see resources)
  • ‘Adding money’ sheet (see resources)
  • Books with price labels: £4.79, £5.49, £5.25, £4.65, £4.29

Short Mental Workouts

Day 1
Add multiples of 10

Day 2
Add 2-digit numbers

Day 3
Count in steps of 20

Day 4
Money place value

Worksheets

Day 1
Y3: Practise using expanded addition to add pairs of 3-digit numbers, moving extra numbers into the tens and/or hundreds column.
Y4: Use a written method to add pairs, or trios, of 3-digit numbers. Estimate answers by rounding numbers to the nearest 10.

Day 2
Y3: Use expanded and compact addition to calculate two answers, then choose preferred layout to calculate other answers.
Y4: Use expanded addition and compact addition to add amounts of money.

Day 3
Y3: Add 10p or 1p coins to 3-digit amounts.
Y4: Find missing numbers in column additions of money.

Day 4
Y3: Add multiples of £1, 10p and 1p to 3-digit amounts.
Y4: Use expanded and compact column addition to find totals of pairs of amounts of money. Estimate totals.

Mastery: Reasoning and Problem-Solving

Y3

  • Add four hundred and fifty-six to three hundred and seventy-two.
  • What is the total of two hundred and sixty-eight and two hundred and eighty-six?
  • Write the missing numbers:
    643 + 174 = ☐
    ☐ – 356 = 238
    327 + 258 = ☐
    ☐ – 426 = 247
  • Amit uses 346 Lego pieces in building his model X-wing, and his sister uses 287 in building her Millennium Falcon. How many Lego pieces have they used altogether?

Y4

  • Complete these additions, using expanded column addition.
    (i) £5.78 + £4.22
    (ii) £2.56 + £7.44
    (iii) £3.17 + £6.83
  • Is a column addition calculation the most efficient way to find:
    £4.99 + £7.46
    £8.06 + £8.06
    £4.31 + £5.69?
  • Write the missing numbers in this calculation:
    £4.☐7 + £5.6☐ = £☐.45

In-depth investigation: Next door additions
Children add pairs of 3-digit numbers and look for patterns in the digital roots of the answers.

Extra Support

Y3: Awesome Adders
Add any pairs of 2-digit numbers using partitioning (including ones >10 and tens >100)

Y4: Pocket Money
Add two prices with a total of more than £1 using partitioning

Expanded Sums
Use expanded column addition to add pairs of 3-digit numbers (one ‘carry’)