MATH IN NATURE
INTRODUCTION
HIIII!
MY NAME IS ZAHRA RAMPURAWALA,
I AM 14 YEARS OLD.
MY HOBBIES ARE SWIMMING, PLAYING BADMINTON AND EVEN READING BOOKS, SPECIALLY MYSTERIOUS BOOKS.
MY AMBITION IS TO BECOME DOCTOR.
I AM THE LEADER AND EDITOR OF THE GROUP.
HELLOOO!
MY NAME IS TAHA BOMBAYWALA,
I AM 13 YEARS OLD.
I AM OF INDIAN ORIGIN AND RAISED IN MUMBAI.
THERE IS A LIST OF THINGS WHICH INTEREST ME LIKE READING BOOKS SOLVING PUZZLES OR RIDDLES AND THE MOST FAVORITE HOBBY OF MINE IS PLAYING FOOTBALL.
THE AIM OF MY LIFE IS TO BECOME A SOFTWARE ENGINEER.
HIII!
MY NAME IS SHABBIR RANGWALA.
I AM 13 YEARS OLD.
MY FAVORITE SUBJECT IS PHYSICS.
MY HOBBIES ARE TO PLAY CRICKET AND DO CYCLING.
MY AMBITION IS TO BECOME AN ENGINEER
HELLO!
MY NAME IS MUSTAFA BHORI.
I AM 13 YRS OLD.
MY FAVORITE SUBJECT IS MATHS.
MY HOBBIES ARE TO PLAY FOOTBALL
MY AMBITION IS TO BECOME A ENGINEER
OUR AIM!!
OUR AIM IS TO HIGHLIGHT THE IMPORTANCE OF MATHS BY SHOWING THAT A MAJOR PART OF NATURE ALSO CONTAIN OF IT!!!
OUR AIM IS TO HIGHLIGHT THE IMPORTANCE OF MATHS BY SHOWING THAT A MAJOR PART OF NATURE ALSO CONTAIN OF IT!!!
ACTION PLAN
GROUP LEADER: ZAHRA RAMPURAWALA
EDITOR WEEBLY: ZAHRA RAMPURAWALA
PHOTOGRAPHER: SHABBIR RANGWALA
QUESTIONNAIRES: ALL
INTERVIEWS: ZAHRA RAMPURAWALA, MUSTAFA BHORI
GROUP LEADER: ZAHRA RAMPURAWALA
EDITOR WEEBLY: ZAHRA RAMPURAWALA
PHOTOGRAPHER: SHABBIR RANGWALA
QUESTIONNAIRES: ALL
INTERVIEWS: ZAHRA RAMPURAWALA, MUSTAFA BHORI
RESEARCH WORK
SYMMETRY
SYMMETRY ACTUALLY MEANS MIRROR IMAGE. WE CAN FIND MANY EXAMPLES OF SYMMETRY IN OUR NATURE LIKE, HONEY COMBS MADE BY HONEY BEES, ALONG WITH BEING HEXAGONAL, ARE PERFECTLY SYMMETRICAL. ANOTHER EXAMPLE IS OF OF SPIDER WEBS, EVEN THEY ARE SYMMETRICAL. IF WE TALK ABOUT WEATHER EVEN THERE SNOWFLAKES REPRESENT SYMMETRY AND OFCOURSE HOW CAN WE FORGET OUR SELVES! EVEN WE HUMAN BEINGS ARE SYMMETRICAL!!
PI
PI IS ACTUALLY THE CIRCUMFERENCE DIVIDED BY DIAMETER. ITS APPROXIMATE VALUE IS 3.1415926. IN NATURE THERE IS AN AMAZING EXAMPLE OF OF IT. WHEN THERE IS TOTAL SOLAR ECLIPSE, THE DISC OF SUN SHOWS PERFECT VALUE OF PI.
PI IS ACTUALLY THE CIRCUMFERENCE DIVIDED BY DIAMETER. ITS APPROXIMATE VALUE IS 3.1415926. IN NATURE THERE IS AN AMAZING EXAMPLE OF OF IT. WHEN THERE IS TOTAL SOLAR ECLIPSE, THE DISC OF SUN SHOWS PERFECT VALUE OF PI.
FRACTALS
FRACTALS ARE FEATURES OF MATHS IN WHICH A PARTICULAR PATTERN IS REPEATED AT REGULAR INTERVELS. MANY NATURAL OBJECTS SHOW THIS FEATURE. ONE SUCH NATURAL OBJECT IS FROST ON BRANCHES OF TREE WHICH ON OBSERVING SHOWS FRACTAL NATURE
FRACTALS ARE FEATURES OF MATHS IN WHICH A PARTICULAR PATTERN IS REPEATED AT REGULAR INTERVELS. MANY NATURAL OBJECTS SHOW THIS FEATURE. ONE SUCH NATURAL OBJECT IS FROST ON BRANCHES OF TREE WHICH ON OBSERVING SHOWS FRACTAL NATURE
FIBONACCI SEQUENCE
FIBONACCI SEQUENCE IS A MATHEMATICAL SEQUENCE I.E. 0,1,1,2,3,5,8......IN WHICH EACH NUMBER IN THE SEQUENCE IS THE SUM OF PREVIOUS TWO. RABBITS FORM AN AMAZING NATURAL EXAMPLE OF IT AS THE RABBITS REPRODUCE IN FIBONACCI SEQUENCE.
FIBONACCI SEQUENCE IS A MATHEMATICAL SEQUENCE I.E. 0,1,1,2,3,5,8......IN WHICH EACH NUMBER IN THE SEQUENCE IS THE SUM OF PREVIOUS TWO. RABBITS FORM AN AMAZING NATURAL EXAMPLE OF IT AS THE RABBITS REPRODUCE IN FIBONACCI SEQUENCE.
FIBONACCI SPIRAL
IF YOU CONSTRUCT A SERIES OF SQUARES WITH LENGTHS EQUAL TO FIBONACCI NUMBERS (1,1,2,3,5....) AND TRACE A LINE THROUGH THE DIAGONALS OF EACH SQUARE, IT FORMS A FIBONACCI SPIRAL. MANY EXAMPLES OF FIBONACCI SPIRALS CAN BE SEEN IN NATURE, INCLUDING IN THE CHAMBERS OF NAUTILUS SHELL.
IF YOU CONSTRUCT A SERIES OF SQUARES WITH LENGTHS EQUAL TO FIBONACCI NUMBERS (1,1,2,3,5....) AND TRACE A LINE THROUGH THE DIAGONALS OF EACH SQUARE, IT FORMS A FIBONACCI SPIRAL. MANY EXAMPLES OF FIBONACCI SPIRALS CAN BE SEEN IN NATURE, INCLUDING IN THE CHAMBERS OF NAUTILUS SHELL.
GOLDEN RATIO
THE RATIO OF CONSECUTIVE NUMBERS IN THE FIBONACCI SEQUENCE SHOWS A NUMBER KNOWN AS GOLDEN RATIO 1.618033989.... THE RATIO IS MUCH FOUND IN HUMAN ARCHITECTURE AND PLANT LIFE. IN SUNFLOWER SEEDS GOLDEN RATIO IS FOUND IN A SPIRAL MANNER, STARTING FROM THE CENTER MOVING OUTWARDS.
THE RATIO OF CONSECUTIVE NUMBERS IN THE FIBONACCI SEQUENCE SHOWS A NUMBER KNOWN AS GOLDEN RATIO 1.618033989.... THE RATIO IS MUCH FOUND IN HUMAN ARCHITECTURE AND PLANT LIFE. IN SUNFLOWER SEEDS GOLDEN RATIO IS FOUND IN A SPIRAL MANNER, STARTING FROM THE CENTER MOVING OUTWARDS.
INTERVIEW
QUESTION 1- HOW IS MATH IMPORTANT TO YOU?
REENA AUNTY- A PERSON CAN EASILY BE FOOLED IF DOES NOT KNOW MATHS FOR EXAMPLE, WHILE PAYING ANY BILL, IF A PERSON DOES NOT KNOW BASIC CALCULATIONS LIKE ADDITION OR SUBTRACTION,HE OR SHE CAN BE EASILY CHEATED.
SAKINA- I USE MATH MAINLY FOR MANAGEMENT OF TIME IN MY DAILY LIFE.
ZAINAB AUNTY- I USUALLY USE MATHS FOR BUDGETING MY MONTHLY EXPENSES.
ZAHRA-I USE MATHS BASICALLY FOR TIME MANAGEMENT AND MAINLY WHILE BUYING GROCERIES DAILY LIKE WHILE PAYING BILLS ETC.
QUESTION 1- HOW IS MATH IMPORTANT TO YOU?
REENA AUNTY- A PERSON CAN EASILY BE FOOLED IF DOES NOT KNOW MATHS FOR EXAMPLE, WHILE PAYING ANY BILL, IF A PERSON DOES NOT KNOW BASIC CALCULATIONS LIKE ADDITION OR SUBTRACTION,HE OR SHE CAN BE EASILY CHEATED.
SAKINA- I USE MATH MAINLY FOR MANAGEMENT OF TIME IN MY DAILY LIFE.
ZAINAB AUNTY- I USUALLY USE MATHS FOR BUDGETING MY MONTHLY EXPENSES.
ZAHRA-I USE MATHS BASICALLY FOR TIME MANAGEMENT AND MAINLY WHILE BUYING GROCERIES DAILY LIKE WHILE PAYING BILLS ETC.
QUESTION 2- WHERE IN NATURE HAVE YOU IDENTIFIED MATHS MOST?
REENA AUNTY- AS I AM A SCIENCE TEACHER I HAVE SEEN MATH INCLUDED IN ALMOST MANY PLACES BUT MAINLY I HAVE SEEN MATHS IN WILD LIFE FOR EXAMPLE,HONEY COMBS, SPIDER WEBS, SNAIL SHELLS ETC.
SAKINA- SPIDER WEBS!!
ZAINAB AUNTY- HONEY COMBS
ZAHRA- I REALLY LIKE THE SYMMETRICAL DESIGN OF THE SNOW FLAKE
QUESTION 3-HOW IS MATHS DIFFERENT FROM OTHER SUBJECTS?
REENA AUNTY- MATHS IS A SUBJECT WHICH CANNOT BE MUGGED UP.
SAKINA- IT IS COMPLETELY LOGICAL SUBJECT!
ZAINAB AUNTY- IT REQUIRES A LOT OF PRACTICE AND NOT MUCH LEARNING.
ZAHRA- IT CANNOT BE MUGGED UP.
REENA AUNTY- MATHS IS A SUBJECT WHICH CANNOT BE MUGGED UP.
SAKINA- IT IS COMPLETELY LOGICAL SUBJECT!
ZAINAB AUNTY- IT REQUIRES A LOT OF PRACTICE AND NOT MUCH LEARNING.
ZAHRA- IT CANNOT BE MUGGED UP.
QUESTION 4-CAN YOU NAME ONE INTERESTING GAME BASED ON MATHS?
REENA AUNTY- SUDOKU
SAKINA-2048
ZAINAB AUNTY-SUDOKU
ZAHRA-SUDOKU, 2048
QUESTION 5-HOW WOULD YOUR LIFE BE WITHOUT MATHS?
REENA AUNTY- I CANNOT IMAGINE MY LIFE WITHOUT MATHS!!
SAKINA- WRECKED!!
ZAINAB AUNTY- DISORGANIZED
ZAHRA- USELESS
REENA AUNTY- I CANNOT IMAGINE MY LIFE WITHOUT MATHS!!
SAKINA- WRECKED!!
ZAINAB AUNTY- DISORGANIZED
ZAHRA- USELESS
CONCLUSION
THIS PROJECT PROVED TO BE VERY USEFUL TO US AS WE CAME TO KNOW ABOUT MANY SUCH THINGS WHICH WE DID NOT EVEN EXPECT WOULD EXIST. THIS PROJECT HAS INCREASED OUR KNOWLEDGE ON A LARGE SCALE ON THE TOPIC MATHS. FOR THIS PROJECT WE ALSO VISITED A NATURE PARK WHERE WE VISUALIZED CERTAIN EXAMPLES OF MATH IN NATURE. OVERALL IT WAS A BRILLIANT PROJECT.