Short Blocks

Maths Year 4 Autumn Place Value (A)

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

Unit 1 Place 3- and 4-digit numbers on a line (suggested as 2 days)

Planning and Activities

Day 1 Teaching
2 children hold a washing line. Mark 1 end 0 and the other end 1000. Children place 3-digit numbers on the line, discussing which numbers to mark first to help us.
Group Activities
-- Ordering and placing 3-digit numbers on a number or washing line.
Day 2 Teaching
Display a landmarked 0-10,000 line and ask children to place 6000, 4500, 1250 and 9999 on the line. Then use a washing line to represent numbers 0 to 10,000. Ask children to place numbers on this line.
Group Activities
Use the in-depth problem-solving investigation ‘The Thousands Game’ from NRICH as today’s group activity.
Or, use these activities:
-- Place 4-digit numbers on 0-10,000 number lines and find numbers in between two 4-digit numbers.

You Will Need

  • Washing line, pegs
  • Blank cards
  • Landmarked lines 0-1000 & 0-10,000 (see resources)
  • Unmarked lines 0-1000 & 0-10,000 (see resources)
  • Number lines
  • 0-1000 number lines

Mental/Oral Maths Starters

Day 1
Place 2-digit numbers on an empty 0 to 100 line (pre-requisite skills)

Day 2
Count in 1s from 990 to 1100 and other 4-digit numbers (pre-requisite skills)

Worksheets

Day 1
Order 2-digit and 3-digit numbers and place them on 0-1000 landmarked and unmarked lines.

Day 2
Place 4-digit numbers on 0-10,000 number lines.
Compare and order 4-digit numbers.

Mastery: Reasoning and Problem-Solving

  • Sketch a line 0-10,000.
    Mark 5,000.
    Draw an arrow to 7500. What number have I marked?
    Repeat with other 1000s and _500 numbers.
  • Counting in 1s, work out what digits a and b stand for and write the next number in this sequence:
    54aa, 54ab, 54b0, _____ .


In-depth Investigation: The Thousands Game
Explore the properties of 4-digt numbers. The Thousands Game from nrich.maths.org.

Extra Support

Walk the Line
Placing 3-digit numbers on a 100 to 200 line, then a 0 to 1000 landmarked line

Unit 2 Place value in 4-digit numbers (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Demonstrate that thousands can be added to a 3-digit number to create a 4-digit number. Use a vertical PV chart to select 1 number from each row to create 4-digit numbers. Show as additions.
Group Activities
-- Make 4-digit numbers and write them as place value additions.

Day 2 Teaching
Use a calculator to ‘zap’ one of the digits in a 4-digit number and record using place value subtractions: 3648 – 600 = 3048 etc.
Group Activities
-- Zap digits in 4-digit numbers using place value subtractions.

Day 3 Teaching
Play a game, using digit cards to create 4-digit numbers. Compare these numbers making explicit reference to the place value of the digits.
Group Activities
Use the ‘No Zero’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
--Compare 4-digit numbers using < and >. Order 4-digit numbers from least to greatest.

You Will Need

  • 4-digit place value grid (see resources)
  • Whiteboards and pens
  • 0-9 number cards
  • Calculators
  • Place value cards (1000s, 100s, 10s, 1s)

Mental/Oral Maths Starters

Day 1
Place value in 3-digit numbers (pre-requisite skills)

Day 2
Count on and back in steps of 100 from 0 to at least 5000 (pre-requisite skills)

Suggested for Day 3
Write amounts in £ and p (simmering skills)

Worksheets

Day 1
Use number cards to make as many 4-digit numbers as possible.

Day 2
Zap digits in 4-digit numbers.

Day 3
Complete inequalities using < and >.

Mastery: Reasoning and Problem-Solving

  • Which 4-digit numbers can be made using exactly 3 place value counters of different colours (or 3 PV objects – little cubes, rods, squares, big cubes)?
  • How many times must 99 be added to take 1009 over 2000?
  • How many numbers between 4000 and 5000 contain two 5s? (E.g. 4505.)
  • What must be added to …
    1020 to make 2000?
    9601 to make 9999?
    190 to make 1000?


In-depth Investigation: No Zero
Children investigate how many numbers between one and ten thousand have a zero. They use their understanding of place value in numbers with up to 4-digits.

Extra Support

Digit Do-it
Partitioning 3-digit numbers, and combining 100s, 10s and 1s to make 3-digit numbers

Unit 3 Place value additions: 4-digit numbers (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Children write 4-digit numbers from spoken. Then count in 1000s from 5595 to 9555. Bridge 10,000 showing what happens. Repeat. Count in 1s from 5595 to 6001.
Group Activities
-- Add or subtract 1 or 1000 to 5555 until you get to 10000 or 1000.
-- Add or subtract 1 or 1000 to a 4-digit number to try and get to a secret target number.

Day 2 Teaching
Children write 4-digit numbers with a 0 in the 10s or 100s place. They use a PV grid and add/subtract 10s sometimes changing the 100s digit.
Group Activities
Use the ‘Magic Chains’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
- -Add and subtract 10 to find 4-digit numbers.
-- Make calculation chains, adding and subtracting 1000, 100, 10 or 1.

Day 3 Teaching
Children add and subtract 100s from 4-digit numbers where the total goes over a multiple of 1000.
Group Activities
-- Repeatedly add or subtract 100 to 4-digit numbers.

You Will Need

  • Whiteboards
  • Coins
  • Pieces of paper
  • A blank dice labelled +1, -1, +10, -10, +1000, -1000

Mental/Oral Maths Starters

Day 1
Count on and back 1s from any 4-digit numbers (pre-requisite skills)

Day 2
Count on and back in steps of 10 from 3-digit numbers (pre-requisite skills)

Suggested for Day 3
Count in steps of 25 from 0 to at least 2000 (simmering skills)

Worksheets

Day 1
Correct calculations involving adding and subtracting 1 and 1000.

Day 2
Add and subtract 10 to and from 4-digit numbers.

Day 3
Add and subtract 100 to and from 4-digit numbers.

Mastery: Reasoning and Problem-Solving

  • Use digits 1 and 2 only. How many 4-digit numbers can you create?
  • Write the missing digits in this sequence of numbers:
    4865, 48☐5, 4☐85, 48☐5, 4☐☐5
  • True or false?
    If you start with a 4-digit number and subtract 10 nine times, you will always have to change the hundreds digit.


In-depth Investigation: Magic Chains
Children use their knowledge of inverse operations to quickly work out a sequence of calculations.

Extra Support

Flipping Fun
Place value in 3-digit numbers
Adding and subtracting 1, 10 and 100