2. 100 = 1 hundred 100 = 10 tens 100 = 100 ones 1 hundreds tens ones
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3. Have a 100 small 10 frame, for example,
Investigation:
Sit with a friend.
Have a 100 small 10 frame, for example,
Record a place value chart with ones, tens and hundreds.
How many hundreds do you see?
How many tens do you see?
How many ones do you see?
Reflection: How can we see 100 as 1 hundred and as 10 tens and as 100 ones?
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4. 1 2 4 tens 124 = 1 hundred and 2 tens and 4 ones hundreds ones
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5. 1 2 4 tens 124 = 1 hundred and 2 tens and 4 ones
hundreds
tens
ones 1 2 4
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
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6. 1 2 4 tens 124 = 1 hundred and 2 tens and 4 ones
hundreds
tens
ones 1 2 4
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
124 = 124 ones
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7. 1 2 4 124 = 1 hundred and 2 tens and 4 ones tens
124 = 1 hundred and 24 ones
hundreds
tens
ones 1 2 4
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8. 1 2 4 tens 124 = 1 hundred and 2 tens and 4 ones
hundreds
tens
ones 1 2 4
124 = 1 hundred and 2 tens and 4 ones
124 = 12 tens and 4 ones
124 = 124 ones
124 = 1 hundred and 24 ones
124 = 6 tens and 64 ones
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9. hundreds
tens
ones 1 2 4
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10. hundreds
tens
ones 1 2 4
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11. 1 2 4 tens ones hundreds 124 = 1 hundred + 2 tens + 4 ones
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12. 1 2 4 tens ones hundreds 124 = 1 hundred + 2 tens + 4 ones
Place Value 15

13. 1 2 4 tens ones hundreds 124 = 1 hundred + 2 tens + 4 ones
Place Value 15

14. Reflection: How can we describe three-digit numbers using place value?
Investigation:
Make a three-digit number with cards.
Make the three-digit number with small 10 frames.
Record the number in a place value chart
Describe your number using standard place value.
Describe your number using non-standard place value in up to 4 ways.
Reflection: How can we describe three-digit numbers using place value?
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15. 3 6 5 tens ones hundreds 365 = 3 hundred + 6 tens + 5 ones
365 = 2 hundreds + 16 tens + 5 ones
365 = 1 hundred + 21 tens + 55 ones
365 = 365 ones
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16. Reflection: How can we describe three-digit numbers using place value?
Investigation:
Make a three-digit number with cards.
Record the number in a place value chart
Describe your number using standard place value.
Describe your number using non-standard place value in up to 4 ways.
Reflection: How can we describe three-digit numbers using place value?
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17. 483 483 483 483 4 8 3 + 3 + 3 + 63 tens ones standard place value
non-standard place value
483
483
300
+ 180
+ 3
400
+ 80
+ 3
483
hundreds
tens
ones 4 8 3
300
+ 120
+ 63
Non-place value
483
482
+ 1
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18. Select cards to make a three-digit number.
Investigation:
Select cards to make a three-digit number.
Partition your number, using non-place value, standard and non-standard place value.
Reflection: How can we partition three-digit numbers using standard, non-standard and non-place value?
Place Value 15

19. 136
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20. 135
136
137
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21. 126
135
136
137
146
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22. 368
483
734
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23. 368
401
483
734
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24. Reflection: How can we use place value to order numbers
Investigation:
Select cards to make a three-digit number.
Record the number on an open empty number line.
Record the number before and after on the number line.
Record the number 10 before and after on the number line.
Select cards to make three-digit numbers.
Record the numbers in order on an open empty number line.
Record numbers that come between your numbers.
Reflection: How can we use place value to order numbers
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25. Place Value 15

26. More Investigations: Sit with a friend.
Each of you record a place value chart with ones, tens and hundreds.
Take turns to take 1 card and place it in either the ones place or the tens place or the hundreds place.
Once placed it cannot be changed.
Read your number out loud and explain your number using standard place value as you place out each card.
Each of you place your complete three-digit number on the same number line, explaining your placements.
The child who created the highest / lowest number takes all cards.
Reflection: How did you use place value to decide what value to give each digit?
Place Value 15

27. More Investigations: Sit with a friend.
Select 3 cards to make a three-digit target number.
Each person flips 3 cards.
The child who makes the number closest to the target number wins.
Reflection: How did you use place value to arrange your cards to make the number closest to the target number?
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28. Reflection: How did you use place value to wipe out each digit?
More Investigations:
Enter a three-digit number into a calculator.
Wipe out the tens digit.
Wipe out the hundreds digit.
Wipe out the ones digit.
Reflection: How did you use place value to wipe out each digit?
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29. More Investigations: Sit with a friend.
Flip 12 cards to make 4 three-digit numbers.
Place the numbers in a row.
Place the remaining cards face down in a pile.
Take turns to select 3 cards from the pile.
Make a three-digit number to replace one of your three-digit numbers.
The child player to have their four three-digit numbers in ascending (or descending) order is the winner.
Reflection: How did you use place value to place your numbers in order?
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30. Reflection: How did you use place value to guess the number?
More Investigations:
Sit with friends.
Play ‘guess my three-digit number’.
One of you records and hides a three-digit number.
As the other children guess, tell them whether your number is higher or lower.
Reflection: How did you use place value to guess the number?
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31. Reflection: How did you use place value to make the numbers?
More Investigations:
Select 3 cards.
Make the largest possible three-digit number.
Make the second largest possible three-digit number.
Make the third largest possible three-digit number.
Make the smallest possible three-digit number.
Make the second smallest possible three-digit number.
Make the third smallest possible three-digit number.
Reflection: How did you use place value to make the numbers?
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32. More Investigations: Select a page from a hundred chart.
Cut up the hundred chart page into rows or columns or into random pieces.
Use your understanding of three-digit numbers to put it back together.
Reflection: How did you use place value to put the hundred chart together?
Place Value 15