Math

Question 1

is a structure, form, or design that is regular, consistent, or recurring.
can be found in nature, in human-made designs, or in abstract ideas

Answer 1

Pattern

Question 2

6 types of pattern

Answer 2

geometric pattern
pattern of texture
patterns of visual
patterns of movement
patterns of rhythm
patterns of flow

Question 3

are often unpredictable, never quite
repeatable, and often contain fractals. These patterns are can be seen from the
seeds and pinecones to the branches and leaves. They are also visible in self-similar
replication of trees, ferns, and plants throughout nature.

Answer 3

patterns of visual

Question 3

are usually found in the water, stone, and even in the
growth of trees. There is also a flow pattern present in meandering rivers with the
repetition of undulating lines.

Answer 3

pattern of flow

Question 4

.This prevalence of
pattern in locomotion extends to the scuttling of insects, the flights of birds, the
pulsations of jellyfish, and also the wave-like movements of fish, worms, and
snakes

Answer 4

pattern of movement

Question 5

m is conceivably the most basic pattern in nature. Our
hearts and lungs follow a regular repeated pattern of sounds or movement whose
timing is adapted to our body’s needs. Many of nature’s rhythms are most likely
similar to a heartbeat, while others are like breathing. The beating of the heart, as
well as breathing, have a default pattern.

Answer 5

pattern of rhythm

Question 6

is a quality of a certain object that we sense through
touch. It exists as a literal surface that we can feel, see, and imagine. Textures are
of many kinds. It can be bristly, and rough, but it can also be smooth, cold, and
hard.

Answer 6

pattern of texture

Question 7

is a kind of pattern which consists of a
series of shapes that are typically repeated. These are regularities in the natural
world that are repeated in a predictable manner. cacti succulents

Answer 7

geometric patterns

Question 8

3 types of symmetries

Answer 8

reflection symmetry, rotations, translations

Question 8

4 types of pattern found in nature

Answer 8

symmetry, waves and dunes, spots and stripes, spirals

Question 9

sometimes called line symmetry or mirror symmetry,
captures symmetries when the left half of a pattern is the same as the right half.

Answer 9

reflection symmetry

Question 9

captures symmetries when it still
looks the same after some rotation (of less than one full turn). The degree of
rotational symmetry of an object is recognized by the number of distinct
orientations in which it looks the same for each rotation

Answer 9

rotation

Question 10

Translational symmetry exists in
patterns that we see in nature and in man-made objects. Translations acquire
symmetries when units are repeated and turn out having identical figures, like the
bees’ honeycomb with hexagonal tiles.

Answer 10

translation

Question 11

symmetries in nature

Answer 11

human body, animal movement, snowflakes, sunflowers, bee hives, starfish

Question 12

refers to an ordered list of numbers called terms, that may have
repeated values. The arrangement of these terms is set by a definite rule.

refers to an ordered list of numbers called terms, that may have
repeated values. The arrangement of these terms is set by a definite rule.

Answer 12

sequence

Question 13

4 types of sequence

Answer 13

arithmetic sequence, harmonic sequence, geometric sequence, fibonacci sequence

Question 14

. It is a sequence of numbers that follows a definite
pattern. To determine if the series of numbers follow an arithmetic sequence,
check the difference between two consecutive terms.

Answer 14

arithmetic sequence

Question 15

we need to look for the
common ratio.

Answer 15

geometric sequence

Question 16

the reciprocal of the terms behaved
in a manner like arithmetic sequence.

Answer 16

harmonic sequence

Question 17

italian mathematician named after the fibonacci sequence

Answer 17

Leonardo Pisano Bigollo 1170-1250

Question 18

is a series
of numbers governed by some unusual arithmetic rule. The sequence is
organized in a way a number can be obtained by adding the two previous
numbers.

Answer 18

Fibonacci sequence

Question 19

is made up of squares
whose sizes, surprisingly is also behaving similar to the Fibonacci sequence.

Answer 19

golden rectangle

Question 20

3 chaRACTERistics of a mathematical language

Answer 20

precise concise powerful

Question 21

is a collection of well-defined objects.

Answer 21

set

Question 22

introduced the word set in 1879

Answer 22

georg cantor

Question 24

is a set that contains only one element.

Answer 24

unit set

Question 25

s a set that the elements in a given set is countable.

Answer 25

finite set

Question 26

a set that elements in a given set has no end or not

Answer 26

infinite set

Question 27

e numbers that used to measure the number of elements in a given set. It is just similar in counting the total number of element in a set. Illustration: A = { 2, 4, 6, 8 } n = 4 B = { a, c, e } n = 3

Answer 27

cardinal set

Question 28

if and only if they have equal number of cardinality and the element/s are identical. A = { 1, 2, 3, 4, 5} B = { 3, 5, 2, 4, 1}

Answer 28

equal set

Question 29

U is the set of all elements under discussion

Answer 29

universal set

Question 30

sets if and only if they have common element/s. A = { 1, 2, 3}B = { 2, 4, 6 } Here, sets A and B are joint set since they have common element such as 2.

Answer 30

joint sets

Question 31

mutually exclusive or if they don’t have common element/s.

Answer 31

disjoin sets

Question 32

2 ways of describing a set

Answer 32

roster or tabular, set-builder or rule

Question 32

(a, b) = (c, d) means that a = c and b = d

Answer 32

ordered pair

Question 33

5 operation on sets

Answer 33

union of sets, intersection of sets, difference of sets, compliment of sets, cartesian product

Question 34

Expression

Answer 34

n is the mathematical analogue of an English noun; it is a correct arrangement of mathematical symbols used to represent a mathematical object of interest.

Question 35

equivalent set

Answer 35

Two sets, say A and B, are said to be equivalent if and only if they have the exact number of element. There is a 1 – 1 correspondence. Illustration: A = { 1, 2, 3, 4, 5 } B = { a, b, c, d, e }

Question 36

cardinal set

Answer 36

Two sets, say A and B, are said to be equal if and only if they have equal number of cardinality and the element/s are identical. There is a 1 -1 correspondence. Illustration: A = { 1, 2, 3, 4, 5} B = { 3, 5, 2, 4, 1}

Question 37

joint set

Answer 37

if and only if they have common element/s. A = { 1, 2, 3}B = { 2, 4, 6 }

Question 38

disjoint set

Answer 38

if and only if they are mutually exclusive or if they don’t have common element/s.

Question 39

Venn diagram

Answer 39

are used to depict set intersections (denoted by an upside-down letter U). This type of diagram is used in scientific and engineering presentations, in theoretical mathematics, in computer applications, and in statistics.

Question 41

George Polya

Answer 41

is one of the foremost recent mathematicians to make a study of problem solving. He was born in Hungary and moved to the United States in 1940. He is also known as “The Father of Problem Solving”.

Question 42

george polya

Answer 42

He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education

Question 43

Heuristic

Answer 43

a Greek word means that "find" or "discover" refers to experience-based techniques for problem solving, learning, and discovery that gives a solution which is not guaranteed to be optimal.