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MADALIANG REVIEW HANE > MATH (LESSON 1 AND 2) > Flashcards

MATH (LESSON 1 AND 2) Flashcards

1
Q

a science or study of pattern and order

A

MATH

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2
Q

relies on logic
rather than on observation as its
standard of truth, yet employs
observation, simulation, and even
experimentation as means of
discovering truth.

A

MATH

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3
Q

MATH IN DAILY LIFE 5 (PMEPPFT)

A

PATTERNS, MEASUREMENT, ESTIMATION, RPOBLEM SOLVING, PROBABILITY, FRACTIONS, TIME

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4
Q

MATH IS FUNDAMENTAL TO THE (PBS,EIT,E,SS)

A

PHYSICAL AND BIOLOGICAL SCIENCES, ENGINEERING AND INFO TECH, ECONOMICS, SOCIAL SCIENCES

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5
Q

MATH IS A USEFUL WAY TO…

A

THINK ABOUT NATURE AND OUR WORLD

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6
Q

MATH IS A TOOL TO (Q,OCW,PP,MLE)

A

TO QUANTIFY
ORGANIZE AND CONTROL WORLD
PREDICT PHENOMENA
MAKE LIFE EASIER

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7
Q

4 ROLES OF MATH (HELPS OPCH)

A

ORGANIZE PATTERNS AND REGULARITIES IN OUR WORLD

PREDICT THE BEHAVIOR OF NATURE AND PHENOMENA IN THE WORLD

CONTROL NATURE AND OCCURRENCES IN THE WORLD FOR OUR OWN ENDS

HAS NUMEROUS APPLICATIONS IN THE WORLD MAKING IT INDISPENSABLE

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8
Q

VISIBLE REGULARITIES

A

PATTERNS IN NATURE

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9
Q

VITAL CLUES TO THE RULES

A

NATURE PATTERNS

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10
Q

REGULAR, REPEATED, RECURRING FORMS OR DESIGNS

A

PATTERN

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11
Q

EX OF PATTERN (FSWI)

A

FISH PATTERNS
STARS
WEATHER SEASON CYCLE
INTRICATE WAVES

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12
Q

ITALIAN MATHEMATICIAN THAT DISCOVERED A VERY SPECIAL SEQUENCE OF NUMBERS

A

LEONARDO FIBONACCI

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13
Q

FIBONACCI WHOLE NAME

A

LEONARDO PISANO BOGOLLO

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14
Q

HE LIVED FROM

A

1170 AND 1250 IN ITALY

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15
Q

FIBONACCI MEANS

A

SON OF BONACCI

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16
Q

HE ALSO HELPED SPREAD

A

HINDU-ARABIC NUMERALS

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17
Q

AN INTEGER IN THE INFINITE SEQUENCE

A

FIBONACCI NUMBER

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18
Q

FS WAS DISCOVERED AFTER AN

A

INVESTIGATION ON THE REPRODUCTION OF RABBITS

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19
Q

THE FS IS A RULE

A

TRUE!

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20
Q

FIRST TERM IS

A

0

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21
Q

RATIO BETWEEN 2 NUMBERS

A

GOLDEN RATIO

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22
Q

GOLDEN RATIO VALUE

A

1.618034

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23
Q

OTHER TERM FOR GOLDEN RATIO

A

GOLDEN:
SECTION
MEAN
NUMBER
PROPORTION

DIVINE:
PROPORTION
SECTION

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24
Q

EX OF GOLDEN RATIO

A

MONA LISA
NOTRE DAME CATHEDRAL
PARTHENON

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25
Q

RECITATION

A

TTTT

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26
Q

“Mathematics, as much
as music or any other art, is one of the means by which we rise to a complete self-consciousness.
The significance of mathematics resides precisely in the fact that it is an art: by informing us of
the nature of our own minds, it informs us of much that depends on our minds.”

A

John William Navin Sullivan, a famous science writer

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27
Q

“Father of Numbers,”

A

PHYTHAGORAS

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28
Q

means that which is learnt.” or “lesson”

A

MATHEMA

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29
Q

Mathema is derived
from

A

MANTHANO

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30
Q

MANTHANO MEANS

A

to learn

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31
Q

was especially useful during the
development of agriculture when surpluses in food
allowed trade.

A

RUDIMENTARY MATH

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32
Q

math exists objectively and independent of human thought.

A

REALISM

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33
Q

holds that mathematics is a
product of the human imagination and is carefully engineered to make formal statements about
nature in order to aid our understanding of the behavior of the universe.

A

anti-realism or idealism

34
Q

the branch of
mathematics that are involved in the
study of the physical, biological, or
sociological world.

A

APPLIED MATH

35
Q

driven by
abstract problems, rather than real world problems.

A

PURE MATH

36
Q

6 THINGS ABOUT YOU AND MATH

A

Learning math is good for your brain.
Math helps you with your finances
Math helps us have better problem-solving skills.
Practically every career uses math in some way
Math is all around us and helps us understand the world better.
Math is a universal language.

37
Q

indicates
that you can draw
an imaginary line
across an object and
the resulting parts
are mirror images
of each other.

A

Symmetry

38
Q

3 TYPES OF SYMMETRY (BRS)

A

BILATERAL
RADIAL
SPHERICAL

39
Q

indicates
that if you draw a
line across an object,
the left portion of
that object will be
the mirror reflection
of right portion.

A

BILATERAL

40
Q

indicates
that if you rotate an
object by several
degrees you can still
achieve the same
appearance as the
original position

A

RADIAL

41
Q

indicates that if you
cut a certain object
along its center it
will generate two
identical halves.

A

SPHERICAL

42
Q

focuses on solving real-world problems in various fields, such as physics, biology, sociology, and engineering

A

APPLIED MATHEMATICS

43
Q

need expertise in multiple areas of math and science, as well as collaboration and physical intuition

A

APPLIED MATHEMATICS

44
Q

deals with abstract problems rather than concrete real-world issues. While some of these abstract problems may have their roots in practical matters, pure mathematicians delve deeper to explore technicalities and theoretical challenges

A

PURE MATHEMATICS

45
Q

Pure and applied mathematics are not mutually exclusive;

A

they coexist and serve distinct purposes within the realm of mathematics

46
Q

are focused on proving theorems, while applied mathematicians aim to construct theories that address practical problems

A

PURE MATHEMATICS

47
Q

are considered the first kind of abstract numeral system

A

TALLYING SYSTEMS

48
Q

is the oldest in the world

A

Babylonian number system

49
Q

USE OF MATH IN OUR LIVES (BFPUUU)

A
  1. BRAIN HEALTH
  2. FINANCIAL MANAGEMENT
  3. PROBLEM-SOLVING
  4. UNIVERSAL CAREER RELEVANCE
  5. UNDERSTANDING THE WORLD
  6. UNIVERSAL LANGUAGE
50
Q

the study of pattern and structure

A

MATHEMATICS

51
Q

Many patterns and occurrences exists in ________, in our _______, in our ________

A

NATURE, WORLD, LIFE

52
Q

are visible regularities of form found in the natural world and can also be seen in the universe.

A

PATTERNS IN NATURE

53
Q

which are not just to be admired, they are vital clues to the rules that govern natural processes.

A

NATURE PATTERNS

54
Q
  • Regular
  • Repeated
  • Recurring forms or designs
  • Identify relationships
  • Find logical connections to form generalizations
A

PATTERN

55
Q

EXAMPLES OF PATTERNS

A

EXAMPLES OF PATTTERNS:
1. Patterns can be observed even in stars which move in circles across the sky each day.
2. The weather season cycle each year. All snowflakes contains sixfold symmetry which no two are exactly the same.
3. Patterns can be seen in fish patterns like spotted trunkfish, spotted puffer, blue spotted stingray, spotted moral eel, coral grouper, redlion fish, yellow boxfish and angel fish. These animals and fish stripes and spots attest to mathematical regularities in biological growth and form.
4. Zebras, tigers, cats and snakes are covered in patterns of stripes; leopards and hyenas are covered in pattern of spots and giraffes are covered in pattern of blotches.
5. Natural pattems like the intricate waves across the oceans; sand dunes on deserts; formation of typhoon; water drop with ripple and others. These serves as clues to the rules that govern the flow of water, sand and air.

56
Q

, a system of conventional spoken, manual (signed), or written symbols by means of which human beings, as members of a social group and participants in its culture, express themselves

A

LANGUAGE

57
Q

may refer to a system of communication using symbols or sounds.

A

LANGUAGE

58
Q

defined language as a set of sentences constructed using a finite set of elements.

A

Linguist Noam Chomsky

59
Q

The language of mathematics makes it easy to express the kinds of thoughts that mathematicians like to express. It is:

A
  1. PRECISE: It can make very fine distinctions among set of symbols
  2. CONSISE: It can briefly express long sentences
  3. POWERFUL: It gives upon expressing complex thoughts
60
Q

refer to numbers or values that are manipulated in a mathematical sentence.

A

MATHEMATICAL NOUNS

61
Q

are symbols that show the relationship of at least two expressions.

A

MATHEMATICAL VERBS

62
Q

are the basic mathematical operations.

A

Addition, subtraction, multiplication and division

63
Q

the capacity of consciously making sense of things, applying logic, and
adapting or justifying practices, institutions, and beliefs based on new or existing information.

A

REASON

64
Q

type of reasoning that forms a conclusion based on the examination of specific
examples is called

A

INDUCTIVE REASONING

65
Q

examples. The conclusion formed by using inductive reasoning
is called a

A

CONJECTURE

66
Q

It can only become a ________ once a
proof of the conjecture is established.

A

THEOREM

67
Q

A ___________is a demonstration, or argument, that shows
beyond a shadow of a doubt that a given assertion is a logical consequence of our axioms and
definitions.

A

PROOF

68
Q

_________________ (1564-1642) used
inductive reasoning to discover that the time required for a pendulum to complete one swing,
called the ________________________, depends on the length of the pendulum.

A

Galileo Galilei, period of the pendulum

69
Q

A statement is a true statement if and only if it is true in all cases. If you can find one case
for which a statement is not true, called a _________________________, then the statement is a false
statement.

A

COUNTEREXAMPLE

70
Q

____________ reasoning is
distinguished from inductive reasoning in that it is the process of reaching a conclusion by
applying general assumptions, procedures, or principles.

A

DEDUCTIVE

71
Q

may be a system of words or codes used within a discipline.

A

LANGUAGE

71
Q

POLYA’S FOUR-STEP PROBLEM-SOLVING STRATEGY

A
  1. UNDERSTAND THE PROBLEM
  2. DEVISE A PLAN
  3. CARRY OUT THE PLAN
  4. REVIEW THE SOLUTION
71
Q

may refer to a system of communication using symbols or sounds.

A

LANGUAGE

72
Q

There must be a ________________of words or symbols.

A

VOCABULARY

73
Q

__________________must be attached to the words or symbols.

A

MEANING

74
Q

A language employs _____________, which is a set of rules that outline how vocabulary is used

A

GRAMMAR

75
Q

A ____________organizes symbols into linear structures or propositions.

A

SYNTAX

76
Q

A ___________ or discourse consists of strings of syntactic proposition.

A

NARRATIVE

77
Q

There must be (or have been) a group of people who use and understand the symbols.

A

There must be (or have been) a group of people who use and understand the symbols.

78
Q

is a name given to some mathematical object of interest.
- A Number
- A Set
- A Function
( 1, 2, 3…, a, x, t, α, β, σ, A, B, C, etc.)

A

MATHEMATICAL EXPRESSION

79
Q

analogue of an English sentence; it is a correct arrangement of Mathematical Symbols that states a complete thought.

A

MATHEMATICAL SENTENCE

MADALIANG REVIEW HANE (17 decks)

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