1. Teacher Notes

3. Symbols
I do: my turn to talk. This is the explanation section of our lesson where you are required to listen. We do: this is where we discuss or work on the concepts together. You do: your turn to be involved. You may be working in a group or on an activity individually.

5. Each digit in its place gives a number its overall value.
What is Place Value?
Numbers are made from digits - 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. When we create numbers using these digits, every digit has a place. Each place within a number has a value.
Each digit in its place gives a number its overall value.

6. Place Value in Base 10
Our numbers use a place value system based on groups of ten. This means that each place value column is ten times larger than the column before. 3-digit numbers are made up of hundreds, tens and ones.
Hundreds
Tens
Ones
1 group of 10 tens
1 group of 10 ones
1 one

7. Applying Place Value to 3-Digit Numbers
Saying a number aloud can help us place each digit correctly when writing a number. For example, when saying the number 126 aloud (one hundred and twenty-six), we know it is made up of 1 hundred, 2 tens and 6 ones.
Hundreds
Tens
Ones
1 group of 10 tens
2 groups of 10 ones
6 ones

8. Applying Place Value to 3-Digit Numbers
Say each number aloud, then add it to the place value chart.
3-Digit Number
Hundreds
Tens
Ones
four hundred and twelve
two hundred and sixty
eight hundred and thirty-one
five hundred and ninety-seven

9. Applying Place Value to 3-Digit Numbers - Answers
Did you write each number correctly?
3-Digit Number
Hundreds
Tens
Ones
four hundred and twelve 4 1 2
two hundred and sixty 6
eight hundred and thirty-one 8 3
five hundred and ninety-seven 5 9 7

10. Applying Place Value to 3-Digit Numbers
In pairs, use the hundreds, tens and ones sombreros from the 3-Digit Place Value Cacti activity to create a set of 3-digit numbers. Record each number in your workbook.

11. Partitioning Numbers
When working with numbers, especially larger numbers, it can be very helpful to break the number down into smaller parts. Breaking a number down using place value can help us to see each smaller part that the number is made from.
The process of breaking a number into smaller parts is called partitioning.

12. Partitioning and Expanding Numbers
When a number has been partitioned, it becomes easier to work with. Each smaller part of the number can then be separated and expanded. Once expanded, the place value of each smaller part can be identified and added together. A 3-digit number can be expanded into hundreds, tens and ones. For example, the number 365 can be expanded into 300, 60 and 5.
365 =
300 + 60 + 5

13. Expanding 3-Digit Numbers
Expand the 3-digit numbers below into hundreds, tens and ones.
981 = + +
237 = + +
546 = + +

14. Expanding 3-Digit Numbers - Answers
Did you expand each number correctly?
981 =
900 + 80 + 1
237 =
200 + 30 + 7
546 =
500 + 40 + 6

15. Expanding 3-Digit Numbers
Use partitioning to complete the 3-Digit Roll It, Make It, Expand It! – Place Value Worksheet.
Roll
Make
Expand H 2 T 3 O 8