TOPIC: PLACE VALUE OF WHOLE NUMBERS AND DECIMALS
A: TEACHING AND LEARNING MATERIALS
- Place value chart.
- Number cards.
- Decimal number flashcards.
- Counters.
- Chalkboard or whiteboard.
- Pupils’ exercise books.
B: REFERENCE MATERIALS
- Scheme of work.
- Recommended Mathematics textbook for Primary 6.
- Online educational resources.
C: PREVIOUS KNOWLEDGE
The pupils have learnt place values of digits in whole numbers and can read and write large numbers.
D: PERFORMANCE OBJECTIVES
By the end of the lesson, pupils should be able to:
- Identify the place value of digits in whole numbers.
- distinguish between face value and place value.
- Identify place values in decimal numbers.
- Write whole numbers in expanded form.
- Write decimals in expanded form.
- Compare decimal numbers.
- Arrange decimal numbers in order.
E: CONTENT
Meaning of Place Value
Place value is the value of a digit according to its position in a number.
Example:
In 45,672:
- 4 is in the ten-thousands place = 40,000
- 5 is in the thousands place = 5,000
- 6 is in the hundreds place = 600
- 7 is in the tens place = 70
- 2 is in the units place = 2
Face Value
The face value of a digit is the digit itself.
In 6,482:
The face value of 4 is 4.
Its place value is 400.
Decimal Place Values
Digits after the decimal point also have place values.
Example:
24.568
| Digit | Place |
|---|---|
| 2 | Tens |
| 4 | Units |
| 5 | Tenths |
| 6 | Hundredths |
| 8 | Thousandths |
Expanded Form
45,672
\= 40,000 + 5,000 + 600 + 70 + 2
Decimal example:
23.46
\= 20 + 3 + 0.4 + 0.06
Comparing Decimals
Compare digits from left to right.
Example:
4.75 > 4.50
2.36 < 2.63
Ordering Decimals
Ascending:
1.25, 1.50, 1.75, 2.00
Descending:
2.00, 1.75, 1.50, 1.25
F: LESSON PRESENTATION
F1: Teachers’ Activities
- Revises place value of whole numbers.
- Displays a place value chart.
- Explains face value and place value.
- Introduces decimal place values.
- Demonstrates expanded form.
- Guides pupils in comparing decimal numbers.
- Gives exercises on arranging decimals.
F2: Pupils’ Activities
- Identify place values of digits.
- State face values of given digits.
- Identify tenths, hundredths and thousandths.
- Write numbers in expanded form.
- Compare decimal numbers.
- Arrange decimals in ascending order.
- Arrange decimals in descending order.
G: CONCLUSION
The teacher revises place value, face value and decimal place values with the pupils.
The teacher corrects mistakes and encourages pupils to practise writing numbers in expanded form.
H: EVALUATION GUIDE
Pupils should be able to answer the following questions:
- What is the place value of 5 in 254,700?
- What is the face value of 7 in 3,742?
- What is the place value of 6 in 4.65?
- Expand 82,304.
- Expand 15.27.
- Which is greater: 5.68 or 5.86?
- Arrange 3.25, 3.05 and 3.50 in ascending order.