MATHEMATICS IN THE MODERN WORLD

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

Fill in the Blank

What time is it?

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What is the measurement of the acute angle formed by the hands of the clock?

Fill in the Blank

Given the time, what is measurement of the acute angle formed by the two hands of the clock?

CLOCK ANGLE FORMULA

Fill in the Blank

Given the time, what is measurement of the acute angle formed by the two hands of the clock?

MATHEMATICS IN NATURE AND THE WORLD

ENDLESS VARIETY OF FORMS

Multiple Choice

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

• Terms

• Patterns

• Symmetry

• Fractals

SAND PATTERNS

ANIMAL PRINTS

HEXAGONAL HONEYCOMBS

BUTTERFLY

SNOWFLAKES

FINGERPRINT

PATTERNS IN NATURE ARE VISIBLE REGULARITIES FORM IN NATURAL WORLD

FRACTALS

• SELF-SIMILARITY

• INFINITE DETAIL

Fill in the Blank

What is the value of A?

TESSELLATION

• Regular Tessellation

• perfectly together

• TILING

PENTAGONS DO NOT TESSELLATE

Fill in the Blank

An art dealer paid 70 dollars for a painting then sold it for 80 dollars. He bought it back for 90 dollars and sold it again for 100 dollars. How much money did he make?

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What can you keep but cannot share and once you share it, you can’t keep it anymore?

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WHAT NUMBER COMES NEXT IN THE ABOVE SEQUENCE?

Fill in the Blank

What number is missing?

Fill in the Blank

What number completes the pattern?

Multiple Choice

What is the missing letter in the sequence?

• F

• K

• L

SEQUENCE

• string of numbers 

• pattern and order

• terms

Fill in the Blank

Find the next term of the following:

J, F, M, A, M, J, J, A, _

Fill in the Blank

Find the next term of the following:

S, S, M, T, W, T, _

Fill in the Blank

Find the next term of the following:

S,O, T, T, F, F, S, S, _

SERIES

sum of the terms of a sequence.

SIGMA NOTATION

• summation notation

• index of the summation

• lower limit

• upper limit

Fill in the Blank

Find the sum of the series.

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Find the sum of the series.

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Find the sum of the series.

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What is always coming, but never arrives?

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

• Choose any four (4) consecutive terms 

• Multiply the first and the fourth.

• Multiply the second and the third and double the result.

• Add the squares of the second and third.

•  $a^2+b^{2\ }=\ c^2$  

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