PPt for Grade 10 Mathematics

1. Q1- WEEK 8
NOVEMBER 25, 2020 (7:00 AM)

2. Opening
Prayer

3. When I call your
name , unmute your
microphone then say
PRESENT.

5. Applications of
Sequences
Concepts: Arithmetic Sequence and Geometric Sequence
Objectives:
1. Solve problems involving sequences
2. Manifest teamwork in doing online activity.
Q: How do we use sequences to solve real world
problems?
Vocabulary: Arithmetic sequence,Geometric sequence, Common
difference, Common ratio.

6. Think-Write-Share
•WHAT DO YOU KNOW ABOUT SEQUENCES?
•THINK BACK TO THE LESSON OVER ARITHMETIC
SEQUENCES , GEOMETRIC SEQUENCES AND WRITE
DOWN EVERYTHING YOU REMEMBER. BE SURE TO
INCLUDE FORMULAS.
Materials: Whiteboard/Illustration Board,
Pen/chalk

7. Remember my Sequences formula!
 
1 1
n
a a n d
  
1
a
S
1 r


Infinite Geometric
-1 < r < 1

8. Words to Remember

9. SEE – What kind of sequences/series is involve in the problem?
18 , 54, 90 ,…a10

10. 18 , 54, 90 ,…
PLAN – What is the appropriate formula to be used and the needed values?
DO – Perform the indicated operation and simplify.
LOOK BACK – The answer should satisfy all the given information in the problem
 
1 1
n
a a n d
   a1= 18
n = 10
d = 36
Find: a10 = ?

11. SEE – What kind of sequences/series is involve in the problem?
400 , 800, 1600,…a8

12. PLAN – What is the appropriate formula to be used and the needed values?
DO – Perform the indicated operation and simplify.
LOOK BACK – The answer should satisfy all the given information in the problem
400 , 800, 1600,…a8
a1= 400
n = 8
r = 2
Find: a8 = ?

13. SEE – What kind of sequences/series is involve in the problem?
17, 22, 27,…S20

14. PLAN – What is the appropriate formula to be used and the needed values?
DO – Perform the indicated operation and simplify.
LOOK BACK – The answer should satisfy all the given information in the problem
17, 22, 27,…S20
a1= 17
n = 20
d = 5
Find: S10 = ?

15. GROUP ACTIVITY: One Problem! One Answer!
1. car travels 180 m the first minute, 250 m the next minute, 320 m the third minute, and
so on in an arithmetic sequence. Find the distance traveled after 5 minutes.
2. A group of mountaineers who climb Mt. Asog during summer doubles every
week of the summer season. If there are 15 climbers for the first week of the summer
season, how many mountaineers will there be on the 7th week ?
3. Chantal saved from her school allowance as follows: P15 on the first week, P20 on the
second week, P25 on the 3rd week, and so on, how much was her total saving after 50
weeks?
4. Pacita donates P50 on the first week to a charitable institution, P100 on the
second week, P200 on the third week. The amount doubles each week. How much
is her total donation for 10 weeks?
5. Suppose the auditorium of the Tagaytay International Convention Center (TICC) has 20
seats in the first row and that each row has 2 more seats than the previous row. If there are
30 rows I the auditorium, how many seats are in the last row?

16. Rubric for Outputs
Cooperation and Teamwork – 10 points ( Members are on tasks)
Presentation - 15 points (targeted process skills)
Correctness of answer – 15 points
Time management – 10 points ( Finish ahead of time with complete
data/Information)
Total: 50 points

17. Remember my Sequences formula!
 
1 1
n
a a n d
  
1
a
S
1 r


Infinite Geometric
-1 < r < 1

19. Assuming that from the illustration of Pyramid
Scheme on COVID- 19 Virus Spread: The sequence is
1, 2, 4, 8,…Find the number of people infected on the
7th day if the spread continues.
Given: a1= 1 , n= 7 , r = 2 , a7 = ?
Solution: a n = a1r n-1
a7 = 1 ( 2 7-1)
= 1 ( 64)
a7 = 64

20. Outputs/Tasks
Week 8 – November 25, 2020
1.Think-Write-Share ( 10 points)
2. Group Task (One problem, One answer!) 50
points
3.Written Work no. 6 (Individual Task) – Due
on November 27, 2020 ( 11:59 PM) – 30
points

21. THANK YOU SO MUCH MY DEAR
STUDENTS!