Short Blocks

Maths Year 6 Autumn More PV, Addition, Subtraction

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

Add, subtract & round 6-/7-digit numbers (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Write on the board 4,351,468. Discuss the commas or spaces used to separate parts. Cover the first four digits. Read the number. Uncover the next three digits and read it. Uncover the final digit and read again. Repeat with other 7-digit numbers. Practise some ‘place value’ calculations, e.g. 2,743,561 – 40,000? Now subtract 500. Subtract 700,000. Subtract 3001. What’s left?
Write on the board ☐,☐☐☐,☐☐☐ > ☐,☐☐☐,☐☐☐. Roll a 0–9 dice and ask children where to place the digit. Explain that they are to try to make the first number greater than the second number. Repeat until all the spaces are filled.
Group Activities
Use the ‘Sometimes we lose things’ in-depth problem-solving investigation from NRICH as today’s group activity.
Or, use these activities:
- Use dice rolls to construct and subtract from 7-digit numbers.
- Order 7-digit numbers with consecutive digits.

Day 2 Teaching
Use the IWB calculator’s constant function to repeatedly add then subtract 1, 10, 100, 1000, 10,000, 100,000 and 1,000,000 to/from 5,555,555. Take care when crossing boundaries of powers of ten.
Group Activities
- Use dice rolls to add/subtract 1, 10, 100, 1000, 10,000, 100,000 or 1,000,000 from 5,000,000.
- Turn a 7-digit number into 5,555,555 by adding and subtracting multiples of 1, 10, 100, 1000, 10,000, 100,000.

Day 3 Teaching
Children mark halfway on a sketched 1,000,000 to 2,000,000 number line. Ask them to mark a number rounding to 1,000,000 and one rounding to 2,000,000.
Repeat for rounding to the nearest 100,000 between 2,500,000 and 2,600,000.
Repeat for rounding to the nearest 10,000 between 2,530,000 and 2,540,000.
Group Activities
- Mark numbers on a 2,000,000 to 3,000,000 landmarked line and round them.
- Round 7-digit numbers to the nearest 100, 1000, 10,000, 100,000

You Will Need

  • Whiteboards and pens
  • 0–9 dice
  • 1–6 dice
  • IWB calculator
  • calculators
  • 0 to 100,000 landmarked lines (see resources)
  • 2,000,000 to 3,000,000 landmarked lines (see resources)

Mental/Oral Maths Starters

Day 1
Place value in 6-digit numbers (pre-requisite skills)

Day 2
Count on/back in 10s, 100s, 1000s and 10,000s from 5-digit numbers (pre-requisite skills)

Suggested for Day 3
Add and subtract near multiples of 10, 100 and 1000 to/from 4-digit numbers (simmering skills)

Worksheets

Day 1
Comparing and ordering numbers including use of > and <.

Day 2
Use place value to add and subtract from large numbers.

Day 3
Rounding numbers to the nearest 1,000,000, 100,000 and 10,000.

Worksheets

  • Fill in the missing digits:
    384,☐79 < 384,0☐9
    1,0☐0,841 > 1,040,996
  • Complete the place value subtractions.
    (a) 1,249,541 – [_____] = 1,240,501
    (b) 673,890 – [_____] = 70,090
    (c) 2,951,159 – [_____] = 2,050,050
  • Draw a line from 3,000,000 to 4,000,000. Mark the halfway point.
    Mark two numbers that round to 3,000,000. Mark two numbers that round to 3,500,000 as the nearest 100,000.


In-depth Investigation: Sometimes We Lose Things
What would happen if we lost all the nines in our number system? Have a go at writing the numbers out in this way. Sometimes We Lose Things from nrich.maths.org.

Extra Support

Dicey Decisions
Understanding place value in 4-digit and 5-digit numbers. Comparing 4-digit numbers and 5-digit numbers.

Zoom Zoom
Rounding 5-digit numbers to the nearest 100, 1000 and 10,000.