MATHEMATICS IN THE MODERN WORLD FIRST SEMESTER SY 2023 to 2024 ENGR. HERNANDO E. ARRIOLA Registered Mechanical Engineer Licensed Professional Teacher MAJOR IN MATHEMATICS
MATHEMATICS IS EVERYWHERE
MATH IS AN INTEGRAL PART OF DAILY LIFE MATH IS APPLIED IN THE MOST USEFUL PHENOMENON MATH IS NOT JUST ABOUT NUMBERS
PATTERNS IN NATURE ~PATTERN, COUNTING AND LOGIC ARE CORRELATIVE ~ MATH IS THE SCIENCE BEHIND PATTERN ~ MATH EXIST EVERYWHERE AS PATTERNS DO IN NATURE
LOOKING AT SUNFLOWER CLOSELY, YOU WILL NOTICE THAT THERE IS A DEFINITE PATTERN OF CLOCKWISE AND COUNTER CLOCKWISE ARC AND SPIRALS EXTENDING OUTWARD FROM THE CENTER OF THE FLOWER. THIS IS A DEMONSTRATION OF HOW NATURE WORKS TO OPTIMIZE THE AVAILABLE SPACE. THE ARRANGEMENT ALLOWS THE SUNFLOWER SEEDS TO OCCUPY THE FLOWER HEAD IN A WAY THAT MAXIMIZES THEIR ACCESS TO LIGHT AND NECESSARY NUTRIENTS.
HONEYCOMB OR BEEHIVE OBSERVE HOW PERFECT IS THE SHAPE OF EVERY HEXAGONAL WAX CELLS ACCORDING TO STUDY THE ARRANGEMENT MAXIMIZES THE STORAGE OF HONEY.
RABIT POPULATION
I FIBONACCI SEQUENCE
SOME EXAMPLES OF PATTERN IN NATURE SYMMETRY SPIRAL MEANDER WAVE FOAM TESSELLATION CRACK STRIPES AFFINE TRANSFORMATIONS FRACTAL
MEANDER
TESSELLATION
SOME EXAMPLE OF PATTERNS IN NATURE
What number comes next? 1 , 3, 5, 7, 9 , ____
What two numbers comes next? 19, 20, 22, 25, 29, __, ___
6) C H M R ____ 7) A G M S ______ 8) A B D G K P ___ 9) A D I P _____ 10) Z U P K _____ WHAT’S NEXT
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ACTIVITY 1 : ANSWER THE FOLLOWING QUESTIONS What is mathematics for you? 2. Where is mathematics ? 3. What role does mathematics play in our world? 4. Give one example of observation you have in Mathematics in Nature.