Presentation MODULE-1-MATHEMATICS-IN-NATURE.pptx

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1. MODULE 1 MATHEMATICS IN NATURE

2. PATTERN AND NUMBER IN NATURE At the end of this chapter, the student must be able to Identify patterns in nature; Examine the nature and relationships of numbers in a sequence Determine the nth term of a number sequence Identify the Fibonacci sequence in nature Use Golden Ratio in appreciating mathematics in human anatomy.

3. PATTERN

4. EXAMPLES OF PATTERN IN NATURE SYMMETRY – it refers to a sense of harmonious and beautiful proportion and balance.

5. EXAMPLES OF PATTERN IN NATURE 2. Waves – is a disturbance that transfer energy through matter or space, with little or no associated mass transport.

6. EXAMPLES OF PATTERN IN NATURE 3. Stripes – are made by series of bands or strips, often of the same width and color along the length.

7. EXAMPLES OF PATTERN IN NATURE 4. Foam – is a substance formed by trapping pockets of gas in a liquid or solid.

8. EXAMPLES OF PATTERN IN NATURE 5. Fractal – a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales.

9. What comes next?

10. What comes next?

11. WHAT COMES NEXT?

12. WHAT COMES NEXT? 5. 30, 35, 45, 60, 80, _____ 6. 36, 43.5, 51, 58.5, 66, _____ 7. , , , , , ________ 8. , 24 + , 36 + , 48 + , ________  

13. FIBONACCI SEQUENCE

14. nth term of Fibonacci Sequence using Binet’s Formula  

15. Determine the ff. term of Fibonacci Sequence 8 th term 11 th term 35 th term 47 th term

16. ASSIGNMENT Identify the next three terms of the following 100, 78, 54, 151, 149, 145, , , , 2. Find the 16 th and 50 th term of Fibonacci Sequence.