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MATHEMATICS IN THE MODERN WORLD

SYNCHRONOUS SESSION

JAYCEL A. GESMUNDO

Poll

KAMUSTA KA NGAYONG ARAW ?😅

• OKAY LANG

• HINDI AKO OKAY

• SAPAT LANG

• OKAY NA OKAY

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CLOCK ANGLE FORMULA

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MATHEMATICS IN NATURE AND THE WORLD

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ENDLESS VARIETY OF FORMS

Multiple Choice

What are these repetitive forms or designs guided by a rule?

• Terms

• Patterns

• Symmetry

• Fractals

SAND PATTERNS

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ANIMAL PRINTS

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HEXAGONAL HONEYCOMBS

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BUTTERFLY

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SNOWFLAKES

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FINGERPRINT

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PATTERNS IN NATURE ARE VISIBLE REGULARITIES FORM IN NATURAL WORLD

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FRACTALS

• SELF-SIMILARITY

• INFINITE DETAIL

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TESSELLATION

• Regular Tessellation

• perfectly together

• TILING

PENTAGONS DO NOT TESSELLATE

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Multiple Choice

What is the missing letter in the sequence?

• F

• K

• L

SEQUENCE

• string of numbers 

• pattern and order

• terms

SERIES

sum of the terms of a sequence.

SIGMA NOTATION

• summation notation

• index of the summation

• lower limit

• upper limit

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Multiple Choice

Which domino completes this row?

LEONARDO PISANO BOGOLLO

• Leonardo of Pisa

• RABBITS

• Liver Abaci

• Fibonacci Day is November 23rd, as it has the digits "1, 1, 2, 3" which is part of the sequence.

• So next Nov 23 let everyone know!

INTERESTING PATTERN 1

• choose any term other than the first and square it

• Multiply the terms on either side of it

• Subtract the smaller number from the larger number.

• The difference is always equal to 1

• What if multiplying the terms 2, 3, 4,... positions away from YOUR number.

PYTHAGOREAN EQUATION

Multiple Choice

Calculate the value of 

 $F_{\frac{12}{4}}$  

• 2

• 21

• 3

• 48

Multiple Choice

Calculate the value of F₉ ?

• 34

• 89

• 21

• 55

Multiple Choice

Calculate the value of  $F_6-F_4$  

• 4

• 18

• 5

• 21

GOLDEN RATIO

https://www.mathsisfun.com/numbers/golden-ratio.html