Short Blocks

Maths Year 3/4 Autumn Place Value

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

Numbers on a line; compare and order (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Mark 2-digit numbers on 0–100 beaded, landmarked and empty lines. Mark 3-digit numbers on 0–1000 landmarked lines and place numbers between multiples of 100.
Group Activities: T with Y3
Y3 -- Place 2-digit numbers on empty and landmarked lines.
Y4 -- Place 3-digit numbers on empty and/or landmarked lines.

Day 2 Teaching
Use skills learned to place numbers between 0 and 100 to place numbers between 100 and 200, then on 0–1000 landmarked lines.
Further Teaching with Y4
Place 4-digit numbers on 0 to 10,000 landmarked lines.
Group Activities: T with Y4
Use the in-depth problem-solving investigation ‘Round the Three/ Four Dice’ from NRICH as today’s group activity.
Or, use these activities:
Y3 -- Mark numbers on 100–200, or 0–1000, landmarked lines.
Y4 -- Place multiples of 50 on 0–10,000 landmarked lines, find the number halfway between them; order 4-digit numbers.

Day 3 Teaching
Play a game comparing 3-digit numbers (Y3) and 4-digit numbers (Y4) and place them on landmarked lines.
Whole Class Activity: T to circulate
-- Play a game comparing 3-digit numbers (Y3) and 4-digit numbers (Y4) and place them on landmarked lines. The winner of each round wins a digit card, which they use to try to make the larger number once the game has finished.

You Will Need

  • 0 to 100 beaded line (see resources)
  • 0 to 100 landmarked line (see resources)
  • 0 to 100 empty number line (see resources),
  • Additional activity sheets (see resources)
  • A4 paper
  • 0–9 dice, or 10s and 1s place value dice
  • Washing line/string, multiples of 100 (0–1000) on cards, blank cards, pegs
  • 0–9 digit cards
  • Flipchart and pens
  • 0-100 bead bar with tags for 0, 100, 200 and multiples of 10 (10–90)
  • A3 paper

Short Mental Workouts

Day 1
In between

Day 2
Count on and back

Day 3
Compare

Worksheets

Day 1
Y3: Place 2-digit numbers on landmarked or empty 0–100 lines.
Y4: Place 3-digit numbers on landmarked or empty 0–1000 lines.

Day 2
Y3: Place numbers on 100–200 landmarked lines. Place numbers on 0–1000 landmarked lines.
Y4: Place 4-digit numbers on 0–10,000 number lines.

Day 3
Y3: Compare 3-digit numbers and place them on lines between 100 and 200/ 0 and 1000.
Y4: Order 4-digit numbers and place them on lines.

Mastery: Reasoning and Problem-Solving

Y3

  • Sketch a line 0–1000. Mark 500. Draw arrows to 250, 350 and 850.
  • True or false?
    - There are always four numbers between two multiples of 5.
    - There are always nine numbers between two multiples of 10.
    - The number before a multiple of 10 always ends in 9.
  • What number will be marked halfway between 125 and 151 on the number line?

Y4

  • Sketch a line 0–10,000. Mark 5000. Draw arrows to 7500, 3200, 8700 and 5500.
  • Count in 1s. Work out what digits a and b are. Write the next number: 54aa, 54ab, 54b0, _____

In-depth Investigation
Round the Three Dice

Which 100s number is your 3-digit number closest to? Round the Three Dice from nrich.maths.org.

Round the Four Dice
Which 1000s number is your 4-digit number closest to? Round the Four Dice from nrich.maths.org.

Extra Support

Y3: Bigger or Beaten
Partitioning and comparing 2-digit numbers

Y4: Walk the Line
Placing 3-digit numbers on a 100 to 200 line, then a 0 to 1000 landmarked line