The document provides instructions for classroom activities that teach students about systematic listing and the fundamental counting principle. It includes examples of counting the number of ways to choose outfits and ice cream toppings. Students are asked to practice applying these concepts to problems at home and school. They also review what they learned and provide a real-world example of using these counting techniques.

4. 1.Show respect to each other.
2.Listen and follow directions carefully.
3.Don’t answer in chorus, raise your hand if you
have something to tell.
4.Stay on task and pass it on time.
5.Strictly “NO TOUCHING”

6. RECITATION BADGES
3 POINTS 2 POINTS 1 POINT
The highest 2 students will receive a PRIZE as a reward.

7. Activity 1

8. Activity 1
Time limit is 20 seconds
Directions:
In an assigned groups, Using a tree Diagram,
show how many ways Manisan and Makisig can
choose their attire for the day.
FOLLOW THE RUBRICS

10. Directions:
In an assigned groups, Using a
tree Diagram, show how many
ways Manisan and Makisig can
choose their attire for the day.

11. Expected answer.
There are 3 possible ways
can Manisan choose her
attire for the day
There are 3 possible ways
can Makisig choose his
attire for the day

12. Activity 2

13. Activity 2
MY BAON
PLAN
“Pinggang
Pinoy”
Let’s watch this video

16. Activity 2 : MY BAON PLAN “Pinggang Pinoy”
Situation : based on the video we watched earlier, let’s assume you are
tasked by your mother to prepare your own baon from her Carenderia’s
menu, how many possible ways can you form your baon that will fit the
Pinggang Pinoy.

17. Activity 2 : MY BAON PLAN “Pinggang Pinoy”
THIS IS MY CHOSEN PINGGANG PINOY, SHOW YOURS…

19. Lesson:

20. Learning Targets:

21. Systematic Listing
It is a method of determining the number of
outcomes of an experiment by enumerating
or making a list of all possible outcomes.
This method, if not carefully and
systematically done, there is a possibility
that some possible outcomes are missed or
left out.

22. Activity 2 : MY BAON PLAN “Pinggang Pinoy”

23. There are 8 possible ways can you prepare your baon from the
given menu

24. There are 8 possible ways can you prepare your baon from the
given menu
RBFP RWFP
RBFM RWFM
RBAP RWAP
RBAM RWAM

25. Fundamental Counting Technique
The fundamental counting principle is a technique of finding the
number of possible outcomes of an experiment without listing.
We can find the total number of ways that two or more
separate tasks can happen by multiplying the numbers of ways
each task can happen separately.

26. Activity 2 : MY BAON PLAN “Pinggang Pinoy”
Situation : based on the video we watched earlier, let’s assume you are tasked by your
mother to prepare your own baon from her Carenderia’s menu, how many possible ways
can you form your baon that will fit the Pinggang Pinoy.
Number of ways = 1 x 2 x 2 x 2
= 8

27. Example 2 :
Jaylo owns 3 different t-
shirts, 2 different shorts
and 2 different caps
How many ways can he
choose his outfit for
their incoming family
vacation. Use systematic
listing and Fundamental
Counting Techniques

28. Example 2 :
Jaylo owns 3 different
t-shirts, 2 different
pants and 2 different
caps How many ways
can he choose his
outfit for their
incoming family
vacation. Use
systematic listing and
Fundamental Counting
Techniques
you can rewrite the given like this: T1 S1 C1
T2 S2 C2
T3
There are 12 ways
Jaylo can choose
his outfit for their
incoming family
vacation.

29. Example 2 :
Jaylo owns 3 different
t-shirts, 2 different
pants and 2 different
caps How many ways
can he choose his
outfit for their
incoming family
vacation. Use
systematic listing and
Fundamental Counting
Techniques
you can rewrite the given like this: T1 S1 C1
T2 S2 C2
T3
There are 12 ways Jaylo can choose
his outfit for their incoming family
vacation.
Number of ways = 3 x 2 x 2
= 12

30. Activity 3
Sorbetes, commonly known as "dirty ice cream," is a popular frozen dessert in the Philippines. It
is a type of ice cream that is made with coconut milk, cassava flour, and sugar. The name "dirty
ice cream" came from the fact that it is often sold by street vendors in unhygienic conditions.
Despite this, it remains a beloved dessert among Filipinos.

31. Activity 3
With an actual Sorbetes cart, the group will count the number
of ways a customer can choose one flavour of sorbetes & one
topping, present your output
GROUP 1&2 (Systematic listing)

32. Activity 3
With an actual Sorbetes cart, the group will count the number
of ways a customer can choose one flavour of sorbetes & one
topping, present your output
GROUP 3&4 (FCT)

34. Activity 3
ANSWER
REVEAL

35. Activity 3
With an actual
Sorbetes cart, the
group will count the
number of ways a
customer can choose
one flavour of
sorbetes & one
topping, present your
output
GROUP 1 & 2 (Systematic listing)
There are 12 possible ways you can
choose for your ice cream and
topping.

36. Activity 3
With an actual
Sorbetes cart, the
group will count the
number of ways a
customer can choose
one flavour of
sorbetes & one
topping, present your
output
GROUP 3 & 4 (FCT)
Number of ways = 3 x 4
= 12
There are 12 possible ways you can
choose for your ice cream and
topping.

37. LET’S SUM IT UP!
1. What have you learned today?
2. how do you count the number of occurrences of an
outcome using systematic listing? How about
Fundamental counting Principle?
3. How can you give the number of occurrences of an
outcome in an experiment using Systematic Listing and
Fundamental Counting Techniques? Cite examples.
4. Can you cite an example about the concept of
systematic listing & Fundamental counting Principle in
real-life?

38. REAL LIFE APPLICATION!!!

39. FOOD FOR THOUGHT
You can answer based on your religion and culture

40. QUIZ TIME…
Direction: Choose the correct answer.
2-points for correct answer and 1-point
for incorrect answer.

41. QUIZ TIME…
ANSWER
1.D
2.C
3.D
4.A
5.C

42. DO IT AT YOUR HOME…
ASSIGNMENT
Suppose you have four pairs of pants, two tops,
and three pairs of shoes. If all will match, how
many different outfits can you make?
Solve using the Table, Tree Diagram, Systematic
Listing and FCT