Maths Year 5/6 Autumn Place Value

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

PV and +/- in 5-digit and 6-digit numbers (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Use vertical place value charts to make 5-digit and 6-digit numbers, including using fewer than five cards. Work out what to subtract to ‘zap’ digits – change them to zero with one place value subtraction.
Group Activities
Y5 -- Identify the value of digits and ‘zap’ digits using subtraction … or … Add and subtract using place value.
Y6 -- Explore place value additions and subtractions in 6-digit numbers, based on a dice roll, or by changing digits to give an answer of 555,555.

Day 2 Teaching
Add and subtract 1s, 10s, 100s, 1000s and 10,000s to/from 5-digit numbers, using a calculator.
Further Teaching with Y6
Children form a counting machine with digit cards then count on in 1s, 10s and 100s.
Group Activities
Y5 -- Work out what to add and subtract, one step at a time, to make 55,555 or 99,999 from a starting number.
Y6 -- Work out what to add and subtract, one step at a time, to make 555,555 or 999,999 from a starting number.

Day 3 Teaching
Use digit cards to make smallest and largest 5-digit and 6-digit numbers possible and place approximately on landmarked lines.
Group Activities
Use one of the in-depth problem-solving investigations in ‘Activity Set A’ from NCETM as today’s group activity.
Or, use this activity:
Whole class activity using digit cards to make 5-digit or 6-digit numbers; compare and place on landmarked lines.

You Will Need

  • Vertical place value charts 1 and 2 (see resources)
  • Whiteboards and pens
  • 1–6 dice
  • 0–9 dice
  • Number cards 0–9
  • Flipchart and pens
  • Calculators
  • IWB calculator
  • 0–100,000 landmarked line (see resources)
  • 0–1,000,000 landmarked line (see resources)

Short Mental Workouts

Day 1
Place value in 4-digit numbers

Day 2
Count on and back in steps of 100

Day 3
Decimal pairs to 100

Worksheets

Day 1
Y5: Use knowledge of place value to complete number sentences (5-digit numbers).
Y6: Use knowledge of place value to complete number sentences (6-digit numbers).

Day 2
Y5: Add and subtract 1, 10, 100, 1000 and 10,000. Add and subtract 1s, 10s, 100s, 1000s and 10,000s.
Y6: Add and subtract 1s, 10s, 100s, 1000s. 10,000s and 100,000s.

Day 3
Y5: Place 5-digit numbers on landmarked lines and compare them. Use given digits 1–5 to make numbers in given ranges.
Y6: Place data (6-digit numbers) on lines and compare.

Mastery: Reasoning and Problem-Solving

Y5

  • Sketch a line from 0–100,000. Mark on the line a mystery number (e.g. 5000). What number have I marked? Children ask questions to find the number, e.g. Is it 6000? Repeat.
  • How many numbers between 19,000 and 20,000 contain just one zero?

Y6

  • Sketch a line from 0–1,000,000. Mark on the line a mystery number (e.g. 400,000). What number have I marked? Children ask questions to identify the number. Repeat.
  • What is the smallest number between 800,000 and 900,000 which has just four digits all the same (no zeros allowed)?
  • How many numbers between 100,000 and 200,000 contain exactly four 9s?

Y5 and Y6

  • Add 1, 10 or 100 each go. How many goes to turn 98,089 into 99,999?

In-depth Investigation: Activity Set A
Choose an activity to explore place value in 5- and 6-digit numbers. Activity Set A from ncetm.org.uk

Extra Support

Y5: Digit Doom/Digit Delight
Understanding place value in 4-digit numbers

Y6: Pick 'n' Mix My Digits
Place value in 5-digit numbers; Adding and subtracting 1, 10, 100, 1000, 10,000