(LESSON 1) Mathematics in Nature

Question 1

Who made the Nature by Numbers short film?

Answer 1

Cristóbal Vila

Question 2

What is the first number that appeared in the film?

Answer 2

Zero (0)

Question 3

What is the numerical equivalent of phi?

Answer 3

1.61803…

Question 4

What is the measure of the golden angle alpha, the angle formed between seeds of a sunflower?

Answer 4

137.5°

Question 5

What polygon forms the eye of the dragonfly?

Answer 5

Hexagon

Question 6

It states the fact that the same thing always happens in the same circumstances.

Answer 6

Regularity in the world

Question 7

It is a discernible regularity in the world or in a man-made design.

Answer 7

Pattern

Question 8

It means an agreement in dimensions, due proportion, and arrangement; a sense of harmonious.

Answer 8

Symmetry

Question 9

TRUE OR FALSE?

In mathematics, symmetry means that an object is invariant to any of various transformations including the following:

a) Reflection
b) Rotating
c) Scaling
d) Spiral

Answer 9

TRUE

Question 10

It is under symmetry transformation that refers to an object that is flipped, inverted, or mirrored.

Answer 10

Reflection

Question 11

It is under symmetry transformation that refers to a figure that turns either clockwise or counterclockwise, having the same number of degrees in rotation.

Answer 11

Rotating

Question 12

It is under symmetry transformation that refers to an expanding or shrinking object. Its size changes but not the shape.

Answer 12

Scaling

Question 13

It is a curve that emanates from a point, moving farther away as it revolves around the point.

Answer 13

Spiral

Question 14

TRUE OR FALSE?

Porifera has no symmetry.

Answer 14

TRUE

Question 15

TRUE OR FALSE?

Radial Symmetry can be found in Arthropoda.

Answer 15

FALSE. Arthropoda has a Bilateral Symmetry

Question 16

TRUE OR FALSE?

Cnidaria has a Radial Symmetry.

Answer 16

TRUE

Question 17

It is one of a series of regular sinuous curves, bends, loops turns, or windings in the channel of a river, stream, or other watercourses.

Answer 17

Meander

Question 18

It is a disturbance that transfers energy through matter or space, with little or no associated mass transport.

Answer 18

Wave

Question 19

It consists of oscillations or vibrations of a physical medium or a field, around relatively fixed locations.

a) Meander
b) Fracture/Crack
c) Wave

Answer 19

c) Wave

Question 20

It is the separation of an object or material into two or more pieces under the action of stress.

a) Meander
b) Fracture/Crack
c) Wave

Answer 20

b) Fracture/Crack

Question 21

TRUE OR FALSE?

If a displacement develops perpendicular to the surface of displacement, it is called a shear crack, slip band, or dislocation.

Answer 21

FALSE. It is called a normal tensile crack or simply a crack

Question 22

TRUE OR FALSE?

If a displacement develops tangentially to the surface of displacement, it is called a shear crack, slip band, or dislocation.

Answer 22

TRUE

Question 23

They are made by a series of bands or strips, often of the same width and color along the length.

a) Wave
b) Stripes
c) Fractal

Answer 23

b) Stripes

Question 24

According to them, “Math is a subject that makes students either jump for joy or rip their hair out. However, math is inescapable as you become an adult in the real world.”

Answer 24

Katie Kim (2015)

Question 25

TRUE OR FALSE? The importance of Mathematics includes all of the following, except? a) Restaurant Tipping b) Netflix Film Viewing c) Washing Dishes

Answer 25

c) Washing Dishes

Question 26

TRUE OR FALSE? Calculating Bills, Doing Exercise, and Surfing Internet are under the Importance of Mathematics.

Answer 26

TRUE

Question 27

According to them, “Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its intrinsic interest.”

Answer 27

American Association for the Advancement of Science (1990)

Question 28

It is the science of patterns and relationships.

Answer 28

Mathematics

Question 29

TRUE OR FALSE? As a theoretical discipline, Science explores the possible relationships among abstractions without concern for whether those abstractions have counterparts in the real world.

Answer 29

FALSE. The statement refers to Mathematics.

Question 30

It refers to noticing a similarity between two or more objects or events.

Answer 30

Abstraction or process of abstraction

Question 31

TRUE OR FALSE? Mathematics is abstract. Its function goes along well with Science and Technology.

Answer 31

TRUE

Question 32

TRUE OR FALSE? The first phase of Mathematical Inquiry is representing some aspects of things abstractly.

Answer 32

TRUE

Question 33

TRUE OR FALSE? The second phase of Mathematical Inquiry is seeing whether the new relationships say something useful about the original things.

Answer 33

FALSE. The statement refers to the third phase.

Question 34

TRUE OR FALSE? The second phase of Mathematical Inquiry is manipulating the abstractions by rules of logic to find new relationships between them.

Answer 34

TRUE

Question 35

TRUE OR FALSE? Any mathematical relationship arrived at by manipulating abstract statements may or may not convey something truthful about the thing being modeled.

Answer 35

TRUE

Question 36

TRUE OR FALSE? Common sense is always not enough to enable one to decide whether the results of mathematics are appropriate.

Answer 36

FALSE. Sometimes, it is enough.

Question 37

TRUE OR FALSE? Katie Kim said that Accountants, Architects, Biologists, Chemists, and other professions use Mathematics in their scope and field of work.

Answer 37

FALSE? It was stated by Mark Karadimos (2018).

Question 38

They assist businesses by working on their taxes and planning for upcoming years. They work with tax codes and forms, use formulas for calculating interest, and spend a considerable amount of energy organizing paperwork. a) Managers b) Lawyers c) Accountants

Answer 38

c) Accountants

Question 39

They design buildings for structural integrity and beauty. They must know how to calculate loads for finding acceptable materials in design which involve calculus. a) Managers b) Architects c) Accountants

Answer 39

b) Architects

Question 40

They study nature to act in concert with it since we are very closely tied to nature. They use proportions to count animals as well as use statistics or probability. a) Medical Doctors b) Biologists c) Chemists

Answer 40

b) Biologists

Question 41

They find ways to use chemicals to assist people in purifying water, dealing with waste management, researching superconductors, analyzing crime scenes, making food products, and working with biologists to study the human body. a) Medical Doctors b) Biologists c) Chemists

Answer 41

c) Chemists

Question 42

They build products, structures, and systems like automobiles, buildings, computers, machines, and planes. They cannot escape the frequent use of a variety of calculus. a) Engineers b) Architects c) Politicians

Answer 42

a) Engineers

Question 43

They argue cases using complicated lines of reason. That skill is nurtured by high-level math courses. They also spend a lot of time researching cases, which means learning relevant codes, laws, and ordinances. Building cases demands a strong sense of language with specific emphasis on hypotheses and conclusions. a) Managers b) Lawyers c) Accountants

Answer 43

b) Lawyers

Question 44

They maintain schedules, regulate worker performance, and analyze productivity. a) Managers b) Lawyers c) Accountants

Answer 44

a) Managers

Question 45

They must understand the dynamic systems of the human body. They research illnesses, carefully administer the proper amounts of medicine, read charts/tables, organize their workload and manage the duties of nurses and technicians. a) Medical Doctors b) Biologists c) Chemists

Answer 45

a) Medical Doctors

Question 46

They carry out the detailed instructions doctors give them. They adjust intravenous drip rates, take vitals, dispense medicine, and even assist in operations. a) Medical Doctors b) Biologists c) Nurses

Answer 46

c) Nurses

Question 47

They help solve the social problems of our time by making complicated decisions within the confines of the law, public opinion, and budgetary restraints. a) Engineers b) Architects c) Politicians

Answer 47

c) Politicians