1. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Objectives
Day 1
Place 3-digit numbers on a number line
Day 2
Day 3
Partition 3-digit numbers into 100s, 10s and 1s Compare and order numbers
Day 4
Use place value to compare and order 3-digit numbers
Find a number between two 3-digit numbers
Day 5
Understand place value in 3-digit numbers
Before teaching, be aware that:
On Day 1 children will need mini-whiteboards and pens.
On Day 2 children will need mini-whiteboards and pens. You will need a pot containing a range of 3-digit numbers on cards.
On Day 3 you will need 2 sets of 0-9 cards, a display copy of the ‘Nasty Game’.
On Day 4 & 5 children will need mini-whiteboards and pens.
Year 3

2. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Starters
Day 1
Place 2-digit numbers on a 0–100 line (pre-requisite skills)
Day 2
Place value in 3-digit numbers (pre-requisite skills)
Day 3
Tell the time to the nearest 5 mins (simmering skills)
Day 4
Compare pairs of 3-digit numbers (pre-requisite skills)
Day 5
Round 2- and 3-digit numbers to nearest 10 (simmering skills)
Choose starters that suit your class by dragging and dropping the relevant slide or slides below to the start of the teaching for each day.
Year 3

3. Place 3-digit numbers on a line Place 2-digit numbers on a 0–100 line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Starter
Place 2-digit numbers on a 0–100 line
Pre-requisite skills – to use this starter, drag this slide to the start of Day 1
Show a 0–100 unmarked line on Interactive Whiteboard. Mark a point. Ask children to write on their whiteboards the number they think you have marked. Discuss, modelling marking in the 50 at halfway to help. Repeat as whole class and then children play in pairs, challenging each other to guess what numbers they have marked.
Year 3

4. Place 3-digit numbers on a line Place value in 3-digit numbers
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Starter
Place value in 3-digit numbers
Pre-requisite skills – to use this starter, drag this slide to the start of Day 2
Invite 4 children to come and be ‘human place value columns’. Each child has cards 0–9 in order. Begin with children all showing 0s. Say that we will first count in 1s. Slowly count while the card holders adjust their cards accordingly. Then count in steps of 10, 100 or 5.
Year 3

5. Place 3-digit numbers on a line Tell the time to the nearest 5 mins
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Starter
Tell the time to the nearest 5 mins
Simmering skills – to use this starter, drag this slide to the start of Day 3
Count forwards and backwards in 5s with a geared analogue clock. Children can have their own clock to use for support, if needed. Ask a child to show the jumps of 5 minutes as you count them together. Set the clock to 12 o’clock and repeat the activity, this time saying the hour as well: 12:05, 12:10, 12:15 … cross 1 o’clock and keep going until half past 1. Repeat, this time saying five past twelve, ten past twelve, etc.
Year 3

6. Place 3-digit numbers on a line Compare pairs of 3-digit numbers
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Starter
Compare pairs of 3-digit numbers
Pre-requisite skills – to use this starter, drag this slide to the start of Day 4
Use two piles of 3-digit number cards. Ask two children to come to the front of the class and turn over the top card on their pile at the same time as each other. The rest of the class point to either the bigger or smaller number, depending on your instruction. Who can be the quickest?
Year 3

7. Place Value and Money Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Starter
Round 2- and 3-digit numbers to nearest 10
Simmering skills – to use this starter, drag this slide to the start of Day 5
Children work in pairs to round the 2- or 3-digit number you give to the nearest 10. The first four pairs to show you the correct number get a cube. The pair with the most cubes at the end of the game wins.
Year 3

8. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Objectives
Day 1
Place 3-digit numbers on a number line.
Year 3

9. Day 1: Place 3-digit numbers on a number line.
100
Talk to your partner – what are your top tips for placing
2-digit numbers in order on this line?
How close is the number to 50?
How close is the number to 0 or 100?
Look at the 10s first.
Any others?
If the 10s are the same, look at the 1s.
Year 3

10. Let’s see if our top tips work for 3-digit numbers.
Day 1: Place 3-digit numbers on a number line.
200
300
250
275
Let’s see if our top tips work for 3-digit numbers.
What number goes here?
275 is halfway between 250 and 300, just like 75 is halfway between 50 and 100.
Does marking 250 help?
Year 3

11. What number could this be?
Day 1: Place 3-digit numbers on a number line.
400
500
425
What number could this be?
Does marking 500 help?
425 … imagine the line has been halved and halved again.
Does marking 400 help?
Year 3

12. On your whiteboards draw a line from 400 to 500 and mark in the 10s.
Day 1: Place 3-digit numbers on a number line.
400
410
416
420
430
437
440
450
460
470
480
482
490
500
On your whiteboards draw a line from 400 to 500 and mark in the 10s.
Let’s count them…
…and 482 …
Mark on 437 on your line.
Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT: Placing 3-digit numbers on a landmarked line – see Resources.
ARE: Game placing numbers on line.
GD: Game placing numbers on line.
…finally 416.
Which is the closest 10 to each of those numbers?
Year 3

13. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT: Mark 10s on a number line. Place 3-digit numbers between hundreds on a number line.
ARE: Place 3-digit numbers between hundreds on a number line.
GD: Place 3-digit numbers between hundreds on an empty number line.
Year 3

14. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s 100s
Objectives
Day 2
Place 3-digit numbers on a number line.
Year 3

15. How close is the number to a whole 100?
Day 2: Place 3-digit numbers on a number line.
How close is the number to a whole 100?
What are some of our top tips for placing numbers on a line?
How close are the 10s to 50?
Look at the 10s – how close is the number to a whole 10?
Any others?
If the 10s are the same, look at the 1s.
Year 3

16. Let’s try placing numbers on a Not quite halfway between 600 and 700.
Day 2: Place 3-digit numbers on a number line.
100
200
300
400
500
600
700
800
900
1000
250
643
990
Let’s try placing numbers on a
line…
Where will 250 go?
Halfway between 200 and 300.
Just before 1000.
Where will 990 go?
Not quite halfway between 600 and 700.
Where will 643 go?
Year 3

17. On your whiteboards draw a 0-1000 line.
Day 2: Place 3-digit numbers on a number line.
100
200
300
400
500
600
700
800
900
1000
115
350
480
830
On your whiteboards draw a line.
Carefully mark on the numbers 350, 830, 480 and 115.
Work with a partner to see how close you were.
Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT: Create a large line and mark on numbers.
ARE: Marking 3-digit numbers on a line or find the number game.
GD: Marking 3-digit numbers on a line plus extension or find the number game.
Let’s check those….
Year 3

18. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT: Mark 100s between 0 and 1000 on a landmarked number line. Place 3-digit numbers on the line.
ARE: Mark 100s between 0 and 1000 on a landmarked number line. Place 3-digit numbers on the line.
GD: Mark 100s between 0 and 1000 on an empty number line. Place 3-digit numbers on the line. Repeat with digits reversed.
Challenge
Year 3

19. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s 100s
Objectives
Day 3
Partition 3-digit numbers into 100s, 10s and 1s Compare and order numbers.
Year 3

20. Let’s play the Nasty Game. The aim is to get the largest number. 100s
Day 3: Partition 3-digit numbers into 100s, 10s and 1s; Compare and order numbers.
Let’s play the Nasty Game.
The aim is to get the largest number.
100s
10s 1s
Team A
Team B
In turns choose a number from the 0-9 cards.
Place it on either team’s grid.
Year 3

21. Team A draws 5 and places it in their 10s.
Day 3: Partition 3-digit numbers into 100s, 10s and 1s; Compare and order numbers.
Let’s try a game…
100s
10s 1s
Team A
Team B 7 5 2
Team A draws 5 and places it in their 10s. 3 8 4
Team B draws 4 and places it in their 1s.
Team A draws 2 and places it in their 1s.
Team A draws 3 and places it in Team B’s 100s. Nasty!
Team B draws 7 and has to place it in Team A’s 100s.
Who has the largest number?
Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT: Play Nasty Game initially with 10s and 1s only.
ARE: Play Nasty Game – take turns to decide if highest or lowest number wins.
GD: Play Nasty Game – 3 player version (see Resources).
Team B draws 8 and places it in their 10s.
1000
500
300
800
400
600
900
100
200
700
384
752
Year 3

22. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT: Use the digits 3, 2, 7, 9 and 4 to make 3-digit numbers as instructed. Order the numbers.
ARE: Use the digits 1, 5, 7, 0, 9 and 3 to make at least ten 3-digit numbers. Order the numbers.
GD: Use the digits 1, 5, 7, 0, 9 and 3 to make at least fifteen 3-digit numbers. Order the numbers.
Challenge
Year 3

23. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s 100s
Objectives
Day 4
Use place value to compare and order 3-digit numbers Find a number between two 3-digit numbers.
Year 3

24. What can you do if the 100s are the same?
Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers.
643
657
372
463
What can you do if the 100s are the same?
If you want to decide which is the bigger number, which digits will you look at first?
Year 3

25. Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers.
100s
10s 1s 1  2 5  7 4 3 8 7 
Let’s check…
On your whiteboards write these numbers in order biggest to smallest.
742, 387, 125
How can you decide?
100s
10s 1s 6  7 3  9 5 8  2 7 
Let’s check…
Now try these three: smallest to biggest.
673, 727, 958
Year 3

26. Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers.
100s
10s 1s 2  7 4  4 8 2 5 
Let’s check…
Now try these biggest to smallest.
482, 274, 245
How can you decide?
100s
10s 1s 4  6 1  3 2  4 6 3 
Let’s check…
Now try these three smallest to biggest.
432, 461, 463
Year 3

27. Day 4: Use place value to compare and order 3-digit numbers; Find a number between two 3-digit numbers.
973
725
615
Let’s check…
On your whiteboards write these numbers in order smallest to biggest.
615, 725, 973
Between 615 and 725?
Now write some numbers that go
in-between each pair.
Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download on our website.
WT: Ordering 3-digit numbers OR ordering 3 secret numbers game.
ARE: Ordering 3-digit numbers by place value or on a line OR ordering 3 secret numbers game.
GD: Ordering 3-digit numbers and placing numbers between OR ordering 3 secret numbers game.
Between 725 and 973?
Year 3

28. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT/ ARE/ GD Order strings of 3-digit numbers. Find numbers between pairs of 3-digit numbers.
Challenge
Year 3

29. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s 100s
Objectives
Day 5
Understand place value in 3-digit numbers.
Year 3

30. Day 5: Understand place value in 3-digit numbers.
What is the best digit to start with?
What is the largest odd 3-digit number that can be made using digits 0 to 9? Each digit can only be used once.
What must the number end in?
Careful not use a digit twice!
Adele says that the answer must be 987. Is she right? Who can explain why?
Year 3

31. Here are some more numbers to find….
Day 5: Understand place value in 3-digit numbers.
Here are some more numbers to find….
remember each digit
can only be used once.
B. The smallest
3-digit multiple of 5.
C. The number closest to 800.
A. The largest even
3-digit number.
This is a trial and improvement activity, move around digits until you have found an answer that meets all the criteria.
What are some of the criteria for each target number.
Year 3

32. Whole class investigation
Day 5: Understand place value in 3-digit numbers.
Whole class investigation
Work in pairs … Using digits 0 to 9 (only use a digit once in a number), make 3-digit numbers as follows:
the largest even number;
the smallest multiple of 5;
the number closest to 800.
Challenge
Think of your own rules to make a number.
Check it, then add it to the list on the board for others to try.
Today would be a great day to do Hamilton’s recommended investigation - Counter Place Value - which you can find in this unit’s IN-DEPTH INVESTIGATION box on Hamilton’s website.
Today’s GROUP ACTIVITY is also a whole class investigation.
Children can work in mixed-ability pairs but check WT have understood the various vocabulary. Children can also use digit cards to make the numbers and play around with the digits.
Stop children at intervals to take their ideas and note some of these on the board.
Model experimenting with the digits, rather than just staying with the first number they come up with.
Children share their solutions and discuss whether there is more than one possible set of answers.
Year 3

33. The Practice Sheet on this slide is suitable for most children.
You can download differentiated PRACTICE WORKSHEETS from Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT/ ARE/ GD: Place value/number challenges to create 3-digit numbers according to given criteria. Order numbers.
Year 3

34. Place 3-digit numbers on a line
Place Value and Money
Place 3-digit numbers on a line
Partition into 1s, 10s and 100s
Well Done! You’ve completed this unit.
Objectives
Day 1
Place 3-digit numbers on a number line.
Day 2
Day 3
Partition 3-digit numbers into 100s, 10s and 1s Compare and order numbers.
Day 4
Use place value to compare and order 3-digit numbers Find a number between two 3-digit numbers.
Day 5
Understand place value in 3-digit numbers.
You can now use the Mastery: Reasoning and Problem-Solving questions to assess children’s success across this unit. Go to the next slide.
Year 3

35. Problem solving and reasoning questions
Sketch a line and mark 500 on it.
Mark 350, 700 and 990 on the line.
How can you demonstrate that you have marked these accurately?
True or false
• Between any pair of next-door multiples of 100, there are always
98 whole numbers.
• The middle of a line is 800.
• There are ten numbers ending in 3 between 300 and 400.
• The digit 0 is used 18 times between 600 and 700.
Write numbers to make the sentences true:
a) 100 < < 110 b) 304 > > 302
c) 999 > > 888 d) 0 < 101 <
e) 459 < < 461
Write the value of the 5 digit in these numbers:
(i) (ii) (iii) 905
Year 3