Short Blocks

Maths Year 5/6 Spring Place Value

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

Place value (suggested as 4 days)

Planning and Activities

Day 1 Teaching
Discuss how to write and say 6-digit numbers. Build numbers using place value chart. Generate 6-digit numbers by rolling a dice and create an inequality. Discuss how to write 7-digit numbers. Write a number between two 7-digit numbers.
Group Activities: T with Y5
Use the in-depth problem-solving investigation ‘Lost Digit’ as today’s group activity.
Or, use these activities:
Y5 -- Compare and use place value to subtract from 6-digit numbers; Use place value subtraction to ‘zap’ each digit in a 6-digit number.
Y6 -- Use dice rolls to construct and subtract from 7-digit numbers. Order 7-digit numbers with consecutive digits.

Day 2 Teaching
Use the Interactive Whiteboard calculator’s constant function to repeatedly add then subtract 1, 10, 100, 1000, 10,000 and 100,000 to 6-digit numbers. Check that children can cross the place value ‘boundaries’ when adding powers of ten.
Further Teaching with Y6
As above but beginning with 7-digit numbers.
Group Activities: T with Y6
Y5 -- Subtract and/ or add 1, 10, 100, 1000, 10,000 and 100,000 to 6-digit numbers.
Y6 -- 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 and 1,000,000.

Day 3 Teaching
Place 6-digit numbers on landmarked lines and round to the nearest 100,000, 1000 and 100.
Further Teaching with Y6
Place 7-digit numbers on lines and round to the nearest 1,000,000, 100,000 and 10,000.
Group Activities: T with Y6
Y5 -- Place 6-digit numbers on landmarked or empty lines; round to the nearest 100 and 1000.
Y6 -- 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 and 1,000,000.

Day 4 Teaching
Demonstrate how to use ‘add and adjust’ strategies to add ‘nearly numbers’, such as 4735 + 203, 4735 + 197, 4735 + 1995, 465 + 299, 4.65 + 2.99. Repeat to ‘subtract and adjust’ for subtraction of nearly numbers, e.g. 4735 – 705, 4735 – 197, 4735 – 1995, 6.25 – 1.98, 4.21 – 3.02.
Group Activities: T with Y5
Y5 -- Use place value to add and subtract multiples and near multiples of 100 and 1000.
Y6 -- Choose pairs of numbers to add and subtract, using an ‘add/subtract and adjust’ strategy, including some decimals.

You Will Need

  • Vertical place value chart (see resources)
  • 1–6 and 0–9 dice
  • Calculators
  • Interactive whiteboard calculator
  • Landmarked lines (see resources)
  • Sticky notes
  • 0–9 digit cards
  • 250,000–260,000 landmarked lines with 1000s labelled (see resources)
  • Landmarked line from 2,000,000 to 3,000,000 (see resources)
  • Mental addition and subtraction activity sheets 1 and 2 (see resources)
  • SATs-style questions (see download)

Short Mental Workouts

Day 1
Double 2-digit numbers

Day 2
Count on/back in 10s, 100s, 1000s and 10,000s from 5-digit numbers

Day 3
Place value in 6-digit numbers

Day 4
Add and subtract near multiples of 10, 100 and 1000 to/from 4-digit numbers

Worksheets

Day 1
Y5: Write 6-digit numbers with digits of given values.
Write missing digits in numbers to create ascending/descending lists of 6-digit numbers.
Y6: Compare and order numbers, including use of > and <.

Day 2
Y5: Add and subtract 1, 10, 100, 1000, 10,000 and 100,000; preserve inequalities.
Y6: Use place value to add and subtract from large numbers.

Day 3
Y5: Place 6-digit numbers on lines and round to the nearest 100 or 1000.
Y6: Round numbers to the nearest 1,000,000, 100,000, 10,000 and 1,000.

Day 4
Y5: Add and subtract from 4- and 5-digit numbers:
- using place value;
- recognising near multiples of 100, 1000 and 10,000.
Y6: Add and subtract from whole numbers and decimals:
- using place value;
- recognising near multiples.

Mastery: Reasoning and Problem-Solving

Y5

  • True or false?
    10 more than 99,999 is 100,090.
    100 less than 202,020 is 201,920.
    199,009 add 1000 is 201,009.
    Add 10,000 to 105,432 five times to get 150,432.
  • Sketch a line between two multiples of 100,000. Mark the appropriate 10,000s. Choose an adjacent pair of numbers and mark the midpoint between them.
  • Write a number that rounds to 40,000 as the nearest 10,000 and to 35,000 as the nearest 1000.
  • Round 49,949 to the nearest:
    -- ten thousand
    -- thousand
    -- hundred
    -- ten
  • What is the smallest number between 800,000 and 900,000 which has just four digits all the same and no zero?

Y6

  • 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: Lost Digit
Children explore place value in 6-digit numbers through finding digit sums and ‘casting out nines’.

Extra Support

Y5: Back to the Start
Adding/ subtracting 1, 10, 100 and 1000 to/from 4-digit numbers (not crossing 10s, 100s or 1000s).

Line ‘em Up
Placing 4-digit numbers on landmarked lines.

Y6: 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.