MATM QUIZ Review Flashcards
Numbers, symbols, Notations
Operations, Equations,
functions
MATHEMATICS
Tool to quantify, organize, control
our world, predict phenomena,
and make life easier for us
MATHEMATICS
It is a formal system of
thought for recognizing, and
classifying of patterns
MATHEMATICS
Study of pattern and
structure.
MATHEMATICS
It is EVERYWHERE..
Many patterns and occurrences exists
in nature, in our world, in our life.
Mathematics helps make sense of
these patterns and occurrences.
MATHEMATICS
Are visible regularities
of form found in the
natural world
PATTERNS
Are regular, repeated
or recurring forms or
designs.
PATTERNS
It is an arrangement which helps
observers anticipate what might see or
what happen next.
PATTERNS
a shape or an object is said to be symmetric if it
can be divided into two or more identical pieces
SYMMETRICAL
is a repeating pattern of a shape that fit
together perfectly without any gaps or overlaps.
TESSELLATIONS
Propagating dynamic disturbance
WAVES
Is a curve which emanates from a point, moving
farther away as it revolves around the point.
SPIRAL
- a never-ending pattern and repeats forever
- infinitely complex patterns that are self-similar
across different scales - regardless of how zoomed in, or zoomed out you
are, it looks very similar to the whole image
FRACTALS
TYPES OF PATTERNS (ACADEMIC)
- Logic Pattern
- Number Pattern
- Geometric Pattern
- Word Pattern
Shows pattern of
rotation,
placement, and
relationship of
objects
LOGIC PATTERN
shows
relationship
among
numbers
NUMBER PATTERN
Shows
tessellations, with
repeated irregular
shapes.
GEOMETRIC PATTERN
follows rules
of grammar,
relationship of
words
WORD PATTERN
His real name was Leonardo Pisano
Bogollo, and he lived between 1170 and
1250 in Italy.
Fibonacci is his nickname, derived from
a Latin word “filius Bonacci” which
means “Son of Bonacci”
As well as being famous for the
Fibonacci Sequence, he helped spread
Hindu-Arabic Numerals (like our
present numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
through Europe in place of Roman
Numerals (I, II, III, IV, V, etc). That has
saved us all a lot of trouble!.
Leonardo Fibonacci
- is a series of numbers where a number is found by adding
the two numbers before it. Starting with 0 and 1, the
succession goes on and on or infinitely.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 …
FIBONACCI SEQUENCE
is simply a number in the
Fibonacci sequence.
Fibonacci Number
was
discovered after an
investigation on the
reproduction of rabbits.
Fibonacci Sequence
is related to Pascal’s triangle in that the sum of the diagonals are equal to the corresponding Fibonacci sequence term.
Fibonacci Sequence
can be written as a
“Rule“
Fibonacci Sequence
- is made by drawing touching squares continuously and increasing the size of each, following the numbers in the Fibonacci sequence.
- The spiral is made by drawing a quarter circle in each squares (starting with the smallest square up to the largest square continuously).
Fibonacci rectangle
is represented by a Greek letter called “phi” (Φ or φ) and with a value of
1.618034. The exact value of the golden ratio is computed as:
GOLDEN
RATIO
