1. • TEAM A: Task Card #1
• TEAM B: Task Card #2:
• TEAM C: Task Card #3:
? ?
?
• GHS●Mathematics Department ● Gr10 ●
aaadjame14.estiola
?
• TEAM D: Task Card #4:
• TEAM E: Task Card #5:
?
2. 1. What should be the 5th picture?
2. What is your basis in obtaining your answer?
Questions:
• TEAM A: Task Card # 1
The black and white dots are alternating
between 5 and 7
• GHS●Mathematics Department ● Gr10 ●
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3. Each tile contains 2 overlapping
shapes, 1 larger than the other.
When the shapes overlap the
largest bisection is always within
the biggest shape
• TEAM B: Task Card #2:
?
• TEAM C: Task Card #3:
?
The shape on top is decreasing in
the number of sides, same as with
the number of dots below. The
orange is on fixed position while
the arrow is alternating its
position horizontally.
• GHS●Mathematics Department ● Gr10 ●
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4. Thera are two patterns appearing at
the same time with alternating
dominos. If you consider 1st, 3rd
and 5th dominos the top number is
decreasing by 1 and the bottom is
increasing by 1.
• TEAM D: Task Card #4: • TEAM E: Task Card #5:
The shape in the center alternates
between orange and white. The
navy dot is moving around the tile
corners in a clockwise direction.
• GHS●Mathematics Department ● Gr10 ●
aaadjame14.estiola
?
?
6. SEQUENCE
Learning Competency: Generates patterns.
Learning Objectives:
1. Explain sequence based from the concepts of
pattern.
2. Give and explain the process of getting the
next terms of a given pattern or sequence.
• GHS●Mathematics Department ● Gr10 ●
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ALLEN M. ESTIOLA
Master Teacher I, GUN-OB HS, LLC Division
7. SEQUENCE
• GHS●Mathematics Department ● Gr10 ●
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• A sequence is a function whose domain is the set of
positive integers.
• It is a logical order or arrangement of values by a
general term or nth term or by a definite rule.
• The general term of a sequence defines the
characteristics of the whole sequence
• Every element in a sequence is called a term
0, 4, 8, 12, 16, _____, …
20
terms
8. Team Activity: How did you obtain the next number?
• GHS●Mathematics Department ● Gr10 ●
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1. What is the next number? 0, 4, 8, 12, 16, _____, …
20
The preceding number is added by 4.
2. What is the next number? 9, 4, -1, -6, -11, ____
-16
The preceding number is added by -5.
The preceding number is subtracted by 5.
3. What is the next number? 160, 80, 40, 20, 10, ____
5
The preceding number is divided by 2.
4. What is the next number? 1, 3, 9, 27, 81, ____, …
243
The preceding number is multiplied by 3.
9. 1. What is the next number? 0, 4, 8, 12, 16, _____, …
2. What is the next number? 9, 4, -1, -6, -11, ____
3. What is the next number? 160, 80, 40, 20, 10, ____
4. What is the next number? 1, 3, 9, 27, 81, ____, …
Among these 4 patterns, which of them are alike?
• GHS●Mathematics Department ● Gr10 ●
aaadjame14.estiola
10. 1. What is the next number? 0, 4, 8, 12, 16, _____, …
2. What is the next number? 9, 4, -1, -6, -11, ____
3. What is the next number? 160, 80, 40, 20, 10, ____
4. What is the next number? 1, 3, 9, 27, 81, ____, …
Among these 4 patterns, which of them are alike?
• GHS●Mathematics Department ● Gr10 ●
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FINITE
SEQUENCE
INFINITE
SEQUENCE
11. Kinds of Sequence:
• GHS●Mathematics Department ● Gr10 ●
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• Finite Sequence
Examples:
• A sequence is finite if its domain is the set of positive
integers {1, 2, 3, 4, 5, …, n} which has a last term, n
• Infinite Sequence
Examples:
• A sequence is infinite if its domain is the set of positive
integers {1, 2, 3, 4, 5, …, } without a last term.
• The three dots show that the sequence goes on and on
indefinitely.
ellipsis
12. • Remember
Each number in a sequence is called a TERM.
3, 8, 13, 18, 23
1st term
2nd term
3rd term
4th term
5th term
How many terms do we have above? 5 terms
3, 8, 13, 18, 23,
a1 a2 a3 a4 a5
TAKE NOTE: We can denoted the terms in a sequence
… n
an
15. Abstraction
1. What is a Sequence?
• It is a logical order or arrangement of values by a
general term or nth term or by a definite rule.
2. Kinds of Sequence
• Finite Sequence
• A sequence is finite if its domain is the set of positive
integers {1, 2, 3, 4, 5, …, n} which has a last term, n
• Infinite Sequence
• A sequence is infinite if its domain is the set of positive
integers {1, 2, 3, 4, 5, …, } without a last term.
16. Abstraction
3. How do you call the elements in a sequence?
• Term/s
4. How is the 1st term denoted? 2nd term? 3rd term? nth term?
a1 a2 a3 an
5. How do you find the 1st 5 terms in a sequence?
• Substitute the n in the given rule
17. Application
Explain the process to be done in getting the next term
of the pattern or sequence
1. 2. 1, ½, 1/3, ¼, 1/5, ___, …
3. 10, 5, 0, -5, ___, ___, …
18. Assessment
A. Find the 1st 3 terms in the sequence an = 4n + 7
B. What is the 10th term in the sequence 9, 13, 17, 21, 25, 29, …
Assignment
1. Journal Writing Entry no.1
2. Given the 7, 14, 21, 28, 35, 42, 49, … 86th term?
