Lesson Notes By Weeks and Term v3 - Primary 5
Whole numbers
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Whole numbers
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Subject: General Mathematics
Class: Primary 5
Term: 1st Term
Week: 1
Theme: Numbers And Numeration
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Watch on YouTubeSee Facebook postcount in thousands and millions apply counting of large numbers such as in population of states or country solve quantitative aptitude problems related to thousand and millions identify prime numbers less than 100
Place value is the value of each digit in a number based on its position. For large numbers, understanding place value is crucial for reading, writing, and comparing them.
Number System: The Nigerian curriculum uses the International Place Value System where numbers are grouped in threes (hundreds, tens, ones) within each period (units, thousands, millions).
Place Value Chart: | Millions Period | Thousands Period | Units Period | | :-------------- | :--------------- | :----------- | | H. Millions | H. Thousands | Hundreds | |
T. Millions |
T. Thousands | Tens | | Millions | Thousands | Ones | Ones (Units)
Period: Includes Ones, Tens, Hundreds.
Thousands Period: Includes Thousands, Ten Thousands, Hundred Thousands.
Millions Period: Includes Millions, Ten Millions, Hundred Millions.
Reading and Writing Large Numbers: Separate the digits into groups of three from the right (using commas or spaces). Read the numbers in each period from left to right, stating the period name.
Example 1: Read and write 5,234,678 in words.
Separate: 5, 234, 678 Read: Five million, two hundred and thirty-four thousand, six hundred and seventy-eight.
Example 2: Write "Forty-one million, three hundred thousand, two hundred and five" in figures.
Millions period: Forty-one million = 41,000,000 Thousands period: Three hundred thousand = 300,000 Units period: Two hundred and five = 205 Combine: 41,300,205 This involves understanding the sequence and magnitude of numbers in these periods.
Counting in Thousands: This means adding 1,000 repeatedly or understanding how the thousands place changes. 1,000 (One Thousand) 2,000 (Two Thousand) ... 99,000 (Ninety-nine Thousand) 100,000 (One Hundred Thousand) ... 999,000 (Nine Hundred and Ninety-nine Thousand) 1,000,000 (One Million)
Counting in Millions: This means adding 1,000,000 repeatedly. 1,000,000 (One Million) 2,000,000 (Two Million) ... 10,000,000 (Ten Million) ... 100,000,000 (One Hundred Million)
Application: This knowledge is used when discussing quantities like: "The population of Lagos State is estimated to be over 15 million people." "The government budgeted N500 million for road construction." Quantitative aptitude problems involve applying mathematical concepts to solve real-world scenarios, often requiring critical thinking beyond direct computation.
Example 3: A major Nigerian bank reported a profit of N125,500,000 in the first quarter and N140,250,000 in the second quarter. a) What was the total profit for the two quarters? b) By how much did the profit increase from the first to the second quarter?
Solution: a) Total Profit = N125,500,000 + N140,250,000 = N265,750,000 b) Increase = N140,250,000 - N125,500,000 = N14,750,000 Example 4: The population of Abia State is approximately 3,727,
3
4
7. The population of Ebonyi State is approximately 2,880,
0
0
0. Which state has a larger population, and by how much?
Solution: Compare 3,727,347 and 2,880,000. 3,727,347 is larger than 2,880,
0
0
0. Difference = 3,727,347 - 2,880,000 = 847,347 Abia State has a larger population by 847,347 people.
Definition of a Prime Number: A prime number is a whole number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
Definition of a Composite Number: A composite number is a whole number greater than 1 that has more than two distinct positive divisors.
Special Cases: 0 and 1 are neither prime nor composite. 0 has infinite factors. 1 has only one factor (itself). Method for Identification (Sieve of Eratosthenes adapted for primary school): List numbers from 1 to
1
0
0. Cross out 1 (it's not prime). Circle 2 (it's the first prime number). Cross out all multiples of 2 (4, 6, 8, ...). Circle the next uncrossed number, which is
3. Cross out all multiples of 3 (6, 9, 12, ...). Some might already be crossed out. Circle the next uncrossed number, which is
5. Cross out all multiples of 5 (10, 15, 20, ...). Circle the next uncrossed number, which is
7. Cross out all multiples of 7 (14, 21, 28, ...). Continue this process. Any uncrossed numbers remaining are prime numbers. (For numbers less than 100, we only need to check primes up to the square root of 100, which is 10, so checking 2, 3, 5, 7 is sufficient).
List of Prime Numbers less than 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. (Total: 25 prime numbers)
Population Studies and Census Data: Students can analyze actual population figures of their local government area, state, or the entire country (e.g., from National Population Commission reports or news articles). They can compare populations, calculate differences, and discuss what these large numbers mean for resource allocation, schooling, or healthcare in Nigeria. For instance, comparing the population of Kano State (over 14 million) with Bayelsa State (around 2.5 million) highlights population density and its implications.
National and State Budgets/Finance: Discussions can revolve around how the Nigerian government or state governments allocate funds. Teachers can use simplified figures from national budgets (e.g., "The federal budget for education is N1.5 trillion naira" or "A state approved N500 million for agricultural development"). Students can perform simple additions or subtractions to understand total spending or remaining funds for different sectors. This connects mathematics to economics and civics.
Distances and Geography within Nigeria: Use large numbers to represent distances between major Nigerian cities. For example, "The distance from Lagos to Abuja is approximately 780,000 meters (or 780 kilometers)." This can be extended to understanding scale on maps or estimating travel times, enhancing their understanding of Nigerian geography. ---