2. ones
tens 4 2
24 is 2 tens and 4 ones
Place Value 11

3. Reflection: How can you see two-digit numbers as tens and ones?
Investigation:
Sit with friends.
Select a two-digit number.
Work out how many people you will need to make the number using place values of ones and tens.
Make the number with some children showing 10 fingers, and one showing the ones number of fingers.
How many tens?
How many ones?
Record a place value chart.
Record your two-digit number in the place value chart.
Describe your two-digit number as some tens and some ones.
Reflection: How can you see two-digit numbers as tens and ones?
Problem Solving
2 children were showing 10 fingers and one child was showing 4 fingers.
How many fingers altogether?
Place Value 11

4. tens
ones
Place Value 11

5. tens
ones
Place Value 11

6. tens
ones 2 4
Place Value 11

7. tens
ones 2 4
Place Value 11

8. Reflection: How can we describe two-digit numbers using place value?
Investigation:
Sit with a friend.
Select cards to make a two-digit number in the 20s or 30s.
Collect the corresponding number of blocks.
Group the blocks into place values of tens and ones, by joining 10 together to make towers, and leaving the remaining blocks single.
Record a place value chart.
Record your tens in the tens column, and the ones in the ones column.
Describe your number as some tens and some ones.
Reflection: How can we describe two-digit numbers using place value?
Problem Solving
Fred had these packets of lollies.
Gina had these individual lollies.
 How many lollies altogether?
Problem Solving
How many blocks are there?
How do you know?
Place Value 11

9. Place Value of Two-digit Numbers
tens
ones 3 6
36 is 3 tens and 6 ones
Place Value 11

10. Select cards to make a two-digit number.
Investigation:
Sit with a friend.
Select cards to make a two-digit number.
Make the number with small 10 frames.
Record a place value chart and record your tens in the tens column, and the ones in the ones column.
Describe your number as some tens and some ones.
Reflection: What does a place value chart tell us about the value of each digit in a two-digit number?
Problem Solving
Matt found these shells at the beach.
How many shells does Matt have?
How do you know?
Problem Solving
Mary made the number 27 with small ten frames.
How many full ten frames will she use?
How many ones in the other ten frame?
Place Value 11

11. tens ones 10 is 1 ten 1 tens ones 10 is 10 ones 1 wiggle wiggle
wiggle wiggle
tens
ones
10 is 10 ones 1
Place Value 11

12. tens
ones
10 is 1 ten 1
tens
ones 1
10 is 10 ones
Place Value 11

13. tens
ones
14 is 1 ten and 4 ones 1 4
14 is 14 ones
Place Value 11

14. Select cards to make a teen number. Make your number using blocks.
Investigation:
Select cards to make a teen number.
Make your number using blocks.
Record your number in a place value chart.
Describe your number using standard place value.
Break 1 ten into 10 ones, and describe your number using non-standard place value.
Problem Solving
Fred had these lollies.
Alan had these lollies.
Gina had these lollies.
Do they have the same number of lollies?
Reflection: How can we describe teen numbers using standard and non-standard place value?
Problem Solving
Julie joined blocks together into 1 tower of 10 and had 4 single blocks.
She broke the tower of ten into 10 ones.
How many ones did she have?
Problem Solving
Mary had 16 blocks.
How could she group the blocks using standard place value?
How could she group the blocks using non-standard place value?
Place Value 11

15. tens
ones
Place Value 11

16. tens
ones
Place Value 11

17. tens
ones 2 4
Place Value 11

18. tens
ones 2 4
Place Value 11

19. tens ones 24 is 2 tens and 4 ones 2 4 24 is 1 ten and 14 ones
Place Value 11

20. tens ones 24 is 2 tens and 4 ones 2 4 24 is 1 ten and 14 ones
24 is 24 ones
Place Value 11

21. Select cards to make a two-digit number in the 20s.
Investigation:
Select cards to make a two-digit number in the 20s.
Make your number using blocks.
Record your number in a place value chart.
Describe your number using standard place value.
Break tens into 10 ones, and describe your number in more than 1 way using non-standard place value.
When you have demonstrated your understanding, select cards to make numbers in the 30s.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Problem Solving
Julie joined blocks together into 2 towers of 10 and had 4 single blocks. She broke 1 tower of ten into 10 ones.
How many tens and how many ones did she have?
Problem Solving
Mary had 26 blocks.
How could she group the blocks using standard place value? How could she group the blocks using non-standard place value?
Place Value 11

22. G F 63 is 3 tens and 3 ones tens ones 6 3 63 is 4 tens and 23 ones
63 is 63 ones
Place Value 11

23. Select cards to make a two-digit number in the 30s or higher
Investigation:
Select cards to make a two-digit number in the 30s or higher
Record your number in a place value chart.
Describe your number using standard place value.
They describe your number in up to 3 ways using non-standard place value, selecting different numbers of tens and working out the number of ones.
For example, 78 is 7 tens and 8 ones, 78 is 4 tens and 38 ones, 78 is 1 ten and 68 ones.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Problem Solving
There were 27 children in the class.
There was a tens number of girls.
How many boys could there be?
Problem Solving
There were 87 children in the grade. There was a tens number of boys.
How many girls could there be?
Problem Solving
How could Betty make her calculator show the number 36 on her calculator by adding place values?
Place Value 11

24. 24
23 + 1 24
22 + 2 24
21 + 1 24
20 + 4 24 24
1 + 23 24
2 + 22 24
3 + 21 24
4 + 20 24
non place value
standard place value
non-standard place value
Place Value 11

25. Select cards to make a two-digit number in the twenties or thirties.
Investigation:
Select cards to make a two-digit number in the twenties or thirties.
Collect the two-digit number of large blocks and join them together into a tower.
Partition your tower, using non-place value, standard and non-standard place value.
Reflection: How can we partition two-digit numbers using standard, non-standard and non-place value?
Problem Solving
Jan partitioned 24 blocks into 2 parts.
What might the parts look like?
Place Value 11

26.
non place value
standard place value
non-standard place value
Place Value 11

27. Select cards to make a two-digit number in the thirties or higher.
Investigation:
Select cards to make a two-digit number in the thirties or higher.
Partition your number, using non-place value, standard and non-standard place value.
Reflection: How can we partition two-digit numbers using standard, non-standard and non-place value?
Problem Solving
How many different ways can you partition 24?
Which ways use place value?
Problem Solving
A train has 24 carriages.
The train driver partitions the train into 2 parts.
How many carriages could be in each part?
Problem Solving
There are 24 birds who want to sit in
these two trees.
How many birds might be in each tree?
Problem Solving
There are two apple trees, with 24 apples altogether.
How many apples might be in each tree?
Problem Solving
I have 24 marbles in two pockets.
How many marbles might be in each pocket?
Place Value 11

28. tens
ones 3 6 26 35 36 37 46
Place Value 11

29. tens
ones 3 6 26 35 36 37 46
Place Value 11

30. tens
ones 3 6 6 3 36 63
Place Value 11

31. Reflection: How can we use place value to order numbers?
Investigation:
Select cards to make a two-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.
Reverse the digits of your number and place the new number on the number line.
Use place value to explain which number is higher and which number is lower.
Reflection: How can we use place value to order numbers?
For example, 63 is higher than 36 because 63 is 6 tens and 36 is 3 tens.
Problem Solving
What number could be in the blank space on this number line?
Problem Solving
Where would 43 go on this number line?
Place Value 11

32. Place Value 11

33. More Investigations: Sit with a friend. Have a calculator.
One child selects a two-digit number and uses the calculator to explain it using standard and non-standard place value.
For example, the number may be 27. Enter into the calculator and describe 27 as 2 tens + 7 ones using standard place value.
The other child uses the calculator to explain the number using non-standard place value.
For example, enter into the calculator and describe 27 as 1 ten + 17 ones using non-standard place value.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

34. Once placed it cannot be changed.
More Investigations:
Sit with a friend.
Take turns to flip a number card and place it in either the ones place or the tens place.
Once placed it cannot be changed.
Read your number out loud and explain your number using standard place value after each turn.
Each place your number on the same number line, explaining their placements.
The child who creates the highest / lowest number takes all cards.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

35. More Investigations: Sit with a friend.
Each of you record a four-digit number with the same ones digit and different tens digit.
Work out the number of tens you need to add or subtract to get to one another’s number.
For example, record 27 and 57. One child works out they need to add 3 tens to 27 while the other child works out they need to subtract 3 tens from 57.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

36. One of you enter a two-digit number.
More Investigations:
Sit with a friend.
Have a calculator.
One of you enter a two-digit number.
Your friend ‘wipes out’ the tens digit by subtracting the number of tens.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

37. You work out how many tens your friend added or subtracted.
More Investigations:
Sit with a friend.
Have a calculator.
One of you enter a two-digit number and hand the calculator to your friend.
Your friend changes the tens digit in secret, and hands the calculator back.
You work out how many tens your friend added or subtracted.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

38. You tell your friend a new two-digit number with the same ones digit.
More Investigations:
Sit with a friend.
Have a calculator.
One of you enter a two-digit number and hand the calculator to your friend.
You tell your friend a new two-digit number with the same ones digit.
Your friend makes the calculator show the new number by adding or subtracting tens.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

39. Select 2 cards to make a two-digit target number.
More Investigations:
Sit with a friend.
Select 2 cards to make a two-digit target number.
Each of you flip 2 cards to make a two-digit number.
The child who makes the number closest to the target number, wins.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

40. Each of you select cards to each make a two-digit number.
More Investigations:
Sit with a friend.
Each of you select cards to each make a two-digit number.
Place your numbers in order, explaining your order using place value.
Place the numbers on a number line, explaining the placement.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

41. Each of you select cards to each make a two-digit number.
More Investigations:
Sit with a friend.
Each of you select cards to each make a two-digit number.
Place your numbers in order, explaining your order using place value.
Place the numbers on a number line, explaining the placement.
Each of you suggest a number that would come between your numbers.
Each of you place your number on the number line.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

42. Each of you is dealt 8 cards to make 4 two-digit numbers.
More Investigations:
Sit with a friend.
Each of you is dealt 8 cards to make 4 two-digit numbers.
Place your numbers in a row.
The remaining cards are placed face down in a pile.
Take turns to select 2 cards from the pile and make a two-digit number to replace one of your two-digit numbers.
The first child to have their 4 two-digit numbers in ascending (or descending) order is the winner.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11

43. Cut up a hundred chart into rows or columns or into random pieces.
More Investigations:
Have a hundred chart.
Cut up a hundred chart into rows or columns or into random pieces.
Use your understanding of two-digit numbers to put it back together.
Reflection: How can we describe two-digit numbers using standard and non-standard place value?
Place Value 11