These are powerpoint presentation of lessons.

1. Quarter 1 Week 2
Day 3
Using Divisibility rules
for 4, 8, 12 and 11 to
find common factors

2. • Division
•488 ÷ 8 = n
•168 ÷ 4 = n
•132 ÷ 12 = n
•143 ÷ 11 = n

3. Conduct a review
3 6 9
4110
423
846
Check cards under the correct column by which
the numbers are visible.

4. • MOTIVATION:
• Who among you are
actively participating in
the outreach programs of
your school? Are you
happy with your
participation?

5. • PRESENTATION:
• READ:
• During the Oplan Kalinisan, 1000
pupils joined the cleanliness
campaign. Teacher Edna thought
of dividing them into 8 members
each. Was she able to divide them
with every student as a member of
a group ?

6. Ask: How many pupils joined
the campaign?
What does the problem
askedyou to find?
How will you find the
answer to the problem?

7. Ask the pupils to work in pairs in solving the
problem.
Solution 1 : Dividing 1000 by 8
1000 ÷ 8 = 125, each student
is a member of the group
Solution 2 : Using the divisibility rule for
8
A number ending in three zeros is
divisible by 8
1000 ends in three zeros, therefore
it is divisible by 8,each student is a member
of the group

8. Recall the rules:
•Divisible by 4: if the last two digits form a
number that is divisible by 4.Also, numbers
ending in two zeros are divisible by 4
372→ 72 ÷ 4 = 18, therefore 372 is
divisible by 4,chairs can be aligned by 4
•Divisible by 8: if the number formed by the
last 3 digits is divisible by 8.Also, a number
ending in three zeros are also divisible by 8
372 ÷4 = 93,therefore 372 is divisible by
8,chairs can be aligned by 8

9. •Divisible by 12: if the sum of the digits of
the number is divisible by 2 and 3
372= 3+7+2=12, 12 is divisible by 2
and 3, therefore 372 is divisible by 12
•Divisible by 11:if the sum of the digits in the
odd places and the sum of the digits in the
even places are equal or their difference is
a multiple of 11.
372→(3+2)-7= -2,therefore 372 is not
divisible by 11,chairs CANNOT be aligned
by 11

12. DEVELOPING MASTERY

13. •APPLICATION:Encircle
4,8,11 and 12 if these are
factors by these numbers.
•1572 - 4 8 11 12
•88 - 4 8 11 12
•160 - 4 8 11 12
•642 - 4 8 11 12
•2400 - 4 8 11 12

14. GENERALIZATION:
•Divisible by 4: if the last two digits form a
number that is divisible by 4.Also, numbers
ending in two zeros are divisible by 4
372→ 72 ÷ 4 = 18, therefore 372 is
divisible by 4,chairs can be aligned by 4
•Divisible by 8: if the number formed by the
last 3 digits is divisible by 8.Also, a number
ending in three zeros are also divisible by 8
372 ÷4 = 93,therefore 372 is divisible by
8,chairs can be aligned by 8

15. •Divisible by 12: if the sum of the digits of
the number is divisible by 2 and 3
372= 3+7+2=12, 12 is divisible by 2
and 3, therefore 372 is divisible by 12
•Divisible by 11:if the sum of the digits in the
odd places and the sum of the digits in the
even places are equal or their difference is
a multiple of 11.
372→(3+2)-7= -2,therefore 372 is not
divisible by 11,chairs CANNOT be aligned
by 11

16. factors are the given number before
each item.
4 1. 84 480 60
264
8 2.2000 3928 6000
846
12 3.372 756
840 579
11 4.378 352 1132
143

17. Assignment
• Using the divisibility rule, put a check
on the blank if the second number is
a factor of the first number.
• 436,4 _____
• 263,12 _____
• 2328,8 ____
• 346,4 _____
• 114,11 _____