Learning Objective/s
At the end of the lesson, the learners will be able to:
Use the divisibility rules for 2,3,4,5,6,8,9,10,11, and 12 to find the common factors
Solve routine and non-routine problems involving divisibility rules of 2,3,4,5,6,8,9,10,11, and 12
Create problems involving divisibility with reasonable answers
Success Criteria
Students can accurately apply the divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10, 11, and 12 to determine whether a given number is divisible by each of these numbers.
Students can identify and list the common factors of two or more numbers using the divisibility rules.
Students can successfully solve routine problems that involve applying divisibility rules to find factors or determine whether a number is divisible by another number.
Students can effectively apply divisibility rules to solve more complex or non-routine problems that require creative thinking and problem-solving skills.
Discussion
How do you know that a number is divisible by another number?
Why is there a need for divisibility rules?
Divisibility rules can be used to easily divide large numbers.
How do you know that 150 can be divisible can be easily divided by 2,3,5,6, and 10?
150 is divisible by 2 because it is an even number. All even numbers are divisible by 2.
A number is divisible by 3 when the sum of its digits is divisible by 3. It bis easier to add the digits of a big number and check if the sum is divisible by 3 than dividing the big number by 3.
150 is divisible by 5 because it ends in 0. Any number that ends either in 5 or 0 is divisible by 5.
Since 150 is divisible by both 2 and 3, it follows that it is also that it is also divisible by 6. Any number that is divisible by both 2 and 3 IS also divisible by 6.
150 is divisible by 10 because it ends in 0. Any number that ends in 0 is divisible by 10.
Can you give a four digit number that is divisible by 8? Is 3 104 divisible by?
A number is divisible by 8 when the number formed by the last 3 digits of a number is divisible by 8.
When is a number divisible by 9? Is 5 211 divisible by 9?
Try adding the sum of the digits of 5 211. Is the sum divisible by 9? 5 + 2 + 1+ 1 = 9
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9. The sum of the digits of 5 211 is 9. Therefore, 5 211 is divisible by 9.
Can you give a four-digit number that is divisible by 11? Is 3 465 divisible by 11?
Get the sum of the odd-positioned digits (5+4) and the sum of the even-positioned digits (3+6). Get the difference between the sums. Is the difference equal to 0 or any number that is divisible by 11?
Any number is divisible by 11 when the difference between the sum of the odd-positioned digits and the sum of the even-positioned digits is divisible by 11.
When is a number divisible by 12? Is 7 980 divisible by 12?
What is the sum of the digits of 7 980? Is the sum of the digits divisible by 3? Now, look at the last 2 digits of 7 980. Do the last 2 digits form a number that is divisible by 4?
Any number that is divisible by both 3 and 4 is also divisible by 12.
Visual Activity:
Worksheet.
Auditory Activity:
True of False.
Cross Curricular Link
Social Studies: Students can explore the historical development of divisibility rules and mathematical concepts.
Real- Life Application
Simplifying calculations.
Evaluation
Refer to Google Classroom