Sequence

1. Geometric Sequence

2. Preliminaries:
Once upon a time, there was a king who
madly fall in love with a beautiful lady. The king was
so determined to have the lady be his wife. On the
contrary, the lady seemed not feeling the same way
as the king. The lady who is not only confidently
beautiful with a heart but also endowed with high
level of intelligence gave challenge to the king. “If
you can fill the squares of the chess board with
grains of rice starting one grain in the first square
and doubled in the succeeding squares, then I will
accept your proposal, said the lady”.

3. Question:
1.In the given folktale, what condition does the lady
given to the king in order to marry her?
2. If you were a king how will you answer the lady’s
challenge?
3. How many grains of rice would there be at the fifth
square? 10th square?64th square?
4. What do you think would happen to the king’s
proposal? Was he able to succeed the challenge?

5. Lets’ Watch This!

6. Analysis:
1.What did you get from the video? What did
you understand on the video?
2.What are the important concepts that are
present in the video that you can relate to
geometric sequence?
3.Does the reproduction of bacterial illustrate a
geometric sequence?
4.What important lesson did you get from the
reproduction of bacteria? As a students what will
you do to prevent from having a
bacteria?

7. 30 mins
30 mins
30 mins

8. Activity 1: TRIANGULAR PIECES

9. Questions:
Consider the square with pieces of triangles.
• What part of the square are the following
colored trianges:
a.navy blue:______________
b.pink:______________
c.sky blue:_______________
d.violet:_____________
e.yellow:________________
f. red:_______________

10. 2. Is there a pattern in the part or portion
of the pieces of triangles? Does the
following pieces of triangles form a
sequence? .
3.How will you describe the sequence of
triangle pieces?

11. Activity 2: Paper folding
• Materials: a sheet of paper
• Directions.
1.Make one fold on a sheet of a paper, how
many rectangles does it have now?
2. Now fold the paper again, and count the
rectangles formed (count only the smallest
rectangle as shown below). Continue this
process until you can no longer fold the paper.

12. No. Of
Folds
1 2 3 4 5 6 7 8 9 10 11
No. Of
Rectang
les
2 4 8
Tabulating the result, find the number of rectangles made in
the 11th fold.
Is there are pattern in the number of rectangles made by
folding? If yes, what is it?

13. Activity 3:Next Figure Please
Examine the succession of each figure in
the sequence,
How the next few figures in the sequence obtained?

14. Rubrics:
Criteria
4
(E)
3
(VG)
2
(G)
1
(F)
The group showed strict
adherence to instruction
The presentation made the
activity clear
he group use their allotted
time properly
All of the members
participated.
Total

15. Analysis:
1.How did you find the activity?
2. Is there a pattern in the terms obtained
in each sequence?
3.What is the ratio between any two
consecutive terms in each sequence?
4. Did you find it easy to find the next few
terms in the sequence?
•

18. Example:
1. Find the tenth term of the geometric
sequence 2, -6, 18, . . .

22. Consider the situation below:
2 The WNHS is conducting OPLAN LINIS to diminish if cannot totally eradicate the mosquitoes that bring dengue. Dengue is a deadly virus because its number is
1.The SSG officers are advocating for a tree planting
project starting June 2019 to March 2020. Each officer is
given the task to plant 1 seedling on June, 2 seedlings
on July, and 4 seedlings on August. How many seedlings
have been already planted by each officer on March
2020?
2. The WNHS is conducting OPLAN LINIS to diminish if
cannot totally eradicate the mosquitoes that bring
dengue. Dengue is a deadly virus because its number is
doubled every day. Suppose there are 20 starting virus in
the body of the sick, how many virus will there be after
one week?

24. My Kind of Art

25. Make a geometric flower
pattern illustrating
geometric sequence..