2. 10 000 = 1 ten-thousand 10 000 = 10 thousands 10 000 = 100 hundreds
= 1000 tens
= ones
Place Value 19
Patterns and Algebra 20

3. Place Value 19
Patterns and Algebra 20

4. Reflection: How can we describe five-digit numbers using place value?
Investigation:
Make a five-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 five-digit numbers using place value?
Problem Solving
The toy shop had 15 bags of 1000 marbles, 25 bags of 100 marbles, 36 bags of 10 marbles and 98 single marbles.
How many marbles does the shop have?
How do you know?
Place Value 19
Patterns and Algebra 20

5. Place Value 19
Patterns and Algebra 20

6. Select cards to make a five-digit number.
Investigation:
Select cards to make a five-digit number.
Partition your number, using non-place value, standard and non-standard place value.
Reflection: How can we partition five-digit numbers using standard, non-standard and non-place value?
Problem Solving
Jan partitioned into parts.
What might the parts look like?
Problem Solving
There are fruit bats in two groups of trees.
How many fruit bats might be in each group?
Problem Solving
There are 6 apple orchards, with apple trees altogether. How many apple trees might be in each orchard?
Problem Solving
A factory has marbles in three boxes. How many marbles might be in each box?
Place Value 19
Patterns and Algebra 20

7. Place Value 19
Patterns and Algebra 20

8. Reflection: How can we use place value to order numbers?
Investigation:
Select cards to make a five-digit number.
Record the number on an open empty number line.
Record the number 10 before and after on the number line.
Record the number 100 before and after on the number line.
Record numbers that come between the numbers on the number line.
Reflection: How can we use place value to order numbers?
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 19
Patterns and Algebra 20

9. Place Value 19
Patterns and Algebra 20

10. Place Value 19
Patterns and Algebra 20

11. Investigation:
Select cards to use as a five-digit number that is neither too easy nor too challenging to count by 100 and 1000s.
Count forwards and backwards by 100s and 1000s from the number.
Record your count on a number line.
Explain which digits change and why.
Explain which digits don’t change and why.
Reflection: Why do the ones and tens digits stay the same and the hundreds digit change when we count by 100s?
Reflection: Why do the ones, tens and hundreds digits stay the same and the thousands digit change when we count by 1000s?
Problem Solving
What number is missing from this number line?
Place Value 19
Patterns and Algebra 20

12. Place Value 19
Patterns and Algebra 20

13. More Investigations: Sit with a friend.
Each of you record a place value chart with ones, tens, hundreds, thousands and ten- thousands.
Take turns to take 1 card and place it in either the ones place or the tens place or the hundreds place or the thousands place or the ten-thousands 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 four-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 19
Patterns and Algebra 20

14. More Investigations: Sit with a friend.
Select 5 cards to make a five-digit target number.
Each person flips 5 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?
Place Value 19
Patterns and Algebra 20

15. Reflection: How did you use place value to wipe out each digit?
More Investigations:
Enter a five-digit number into a calculator.
Wipe out the ten-thousands digit.
Enter another four-digit number into a calculator.
Wipe out the thousands digit.
Wipe out the tens digit.
Enter another four -digit number into a calculator.
Wipe out the hundreds digit.
Wipe out the ones digit.
Place Value 19
Patterns and Algebra 20
Reflection: How did you use place value to wipe out each digit?

16. More Investigations: Sit with a friend.
Flip 15 cards to make 3 five-digit numbers.
Place the numbers in a row.
Place the remaining cards face down in a pile.
Take turns to select 5 cards from the pile.
Make a five -digit number to replace one of your five-digit numbers.
The child player to have their 3 five -digit numbers in ascending (or descending) order is the winner.
Reflection: How did you use place value to place your numbers in order?
Place Value 19
Patterns and Algebra 20

17. Reflection: How did you use place value to guess the number?
More Investigations:
Sit with friends.
Play ‘guess my five-digit number’.
One of you records and hides a five-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?
Place Value 19
Patterns and Algebra 20

18. Reflection: How did you use place value to make the numbers?
More Investigations:
Select 5 cards.
Make the largest possible five-digit number.
Make the second largest possible five-digit number.
Make the third largest possible five-digit number.
Make the smallest possible five-digit number.
Make the second smallest possible five-digit number.
Make the third smallest possible five-digit number.
Reflection: How did you use place value to make the numbers?
Place Value 19
Patterns and Algebra 20