Learn how the sequence is constructed by adding the two previous terms to generate the next one, e.g., 0, 1, 1, 2, 3, 5, 8, etc.
Identify and analyze various mathematical patterns within the sequence, such as how the ratio between consecutive numbers approaches the Golden Ratio.
Investigate how the Fibonacci Sequence appears in nature (e.g., in the arrangement of leaves, flower petals, and shells) and in art, architecture, and design.
K-W-L ACTIVITY
What have observed in the diagram?
What do you think is the relationship of the diagram and Fibonacci Sequence?
Can we also observe pattern same with the diagram above. Kindly, give some example.
Do you see patterns in things? Can you give examples?
DRILLS
Instructions: Analyze the given sequence for its rule and identify the next two terms.
DISCUSSION
ASSESSMENT
Instructions:
1. What is the first number in the Fibonacci sequence?
A) 1
B) 0
C) 2
D) 3
2. Which of the following is the 6th number in the Fibonacci sequence?
A) 8
B) 5
C) 13
D) 21
3. How is each number in the Fibonacci sequence generated?
A) Each number is the sum of the previous two numbers.
B) Each number is the product of the previous two numbers.
C) Each number is the difference between the previous two numbers.
D) Each number is double the previous number.
4. What is the 10th number in the Fibonacci sequence?
A) 55
B) 34
C) 21
D) 89
5. The Fibonacci sequence starts with 0 and 1. What is the next number after 1?
A) 1
B) 2
C) 3
D) 4
6. What is the Fibonacci sequence up to the 5th number?
A) 0, 1, 1, 2, 3
B) 1, 1, 2, 3, 5
C) 0, 1, 1, 3, 5
D) 1, 2, 3, 5, 8
7. What is the sum of the first 6 Fibonacci numbers?
A) 20
B) 12
C) 13
D) 8
8. The Fibonacci sequence has an interesting property. What is it called when the ratio between consecutive Fibonacci numbers approaches a constant value as the sequence progresses?
A) Golden Ratio
B) Pi Ratio
C) Euler's Number
D) Harmonic Series
9. What is the 15th Fibonacci number?
A) 610
B) 377
C) 987
D) 144
10. If we start with the numbers 0 and 1, which of the following is the correct order of the first five Fibonacci numbers?
A) 0, 1, 1, 2, 3
B) 0, 1, 2, 3, 5
C) 1, 2, 3, 5, 8
D) 1, 2, 3, 5, 13
"Discovery Time!"
Instruction: Research about the applicability of mathematics, fostering a lifelong appreciation for its role in understanding the world. Such as, how mathematics is essential in various real-world contexts, including finance, healthcare, environmental science, technology, and social sciences.