TOPIC: PLACE VALUE OF WHOLE NUMBERS AND DECIMALS
A: TEACHING AND LEARNING MATERIALS
- Place-value chart.
- Number cards.
- Decimal number chart.
- Counters.
- Chalkboard/whiteboard.
- Pupils’ exercise books.
B: REFERENCE MATERIALS
- Scheme of work.
- Recommended Mathematics textbook for Primary 5.
- Online educational resources.
C: PREVIOUS KNOWLEDGE
The pupils can read and write large whole numbers and identify basic place values such as units, tens, hundreds and thousands.
D: PERFORMANCE OBJECTIVES
By the end of the lesson, pupils should be able to:
- Explain place value.
- State the place value of digits in large numbers.
- Write whole numbers in expanded form.
- Identify tenths, hundredths and thousandths.
- State the place value of digits in decimal numbers.
E: CONTENT
Meaning of Place Value
Place value is the value of a digit because of its position in a number.
Example:
In 458,326:
- 4 = 400,000
- 5 = 50,000
- 8 = 8,000
- 3 = 300
- 2 = 20
- 6 = 6
Place-Value Chart
| Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Units |
|---|---|---|---|---|---|
| 4 | 5 | 8 | 3 | 2 | 6 |
Expanded Form
458,326 can be written as:
400,000 + 50,000 + 8,000 + 300 + 20 + 6
Decimal Place Values
A decimal point separates whole numbers from decimal parts.
Example:
4.375
- 3 = tenths
- 7 = hundredths
- 5 = thousandths
📌 0.1 = one tenth
📌 0.01 = one hundredth
📌 0.001 = one thousandth
F: LESSON PRESENTATION
F1: Teachers’ Activities
- Revises units, tens and hundreds.
- Draws a place-value chart.
- Places large numbers on the chart.
- Explains expanded form.
- Introduces decimal place values.
- Gives examples for pupils to practise.
F2: Pupils’ Activities
- Identify the position of digits.
- State the place value of given digits.
- Write numbers in expanded form.
- Read decimal numbers.
- Identify tenths, hundredths and thousandths.
- Solve practice exercises.
G: CONCLUSION
The teacher revises the meaning of place value and reminds pupils that the position of a digit determines its value.
H: EVALUATION GUIDE
Pupils should be able to answer the following questions:
- What is place value?
- What is the value of 5 in 352,418?
- Write 426,305 in expanded form.
- What is the place value of 7 in 4.72?
- What is the place value of 5 in 2.365?
- Write 300,000 + 20,000 + 4,000 + 500 + 6 in figures.
- Which digit is in the hundredths place in 5.482?