LE #2

Question 1

How do you get the Zodiad Animal for a year?

Answer 1

Divide the year by 12, obtain the remainder.

Question 2

Refers to a 12 Year Cycle in Chinese

Answer 2

Shangxiao

Question 3

Formula for setting your alarm clock

Answer 3

•Add the Starting Hour with the Ending Hour
•Divide by 12

The remainder is your target hour

Question 4

How can we partition integers (Z) into disjoint sets?

Answer 4

According to their remainder when divided by a certain divisor.

Question 5

Materials used by Filipinos to count and keep track of numbers

Answer 5

Sticks and Stones

Question 6

An evidence that Filipinos had a grasp on rudimentary geometric ideas

Answer 6

Angono Petroglyphs (3000 BC | Late Neolithic Period)

Question 7

What is contained in the Angono petroglyphs

Answer 7

127 figures discernible as integral units.

Question 8

How was interested calculated by early Filipinos?

Answer 8

Y= 2^x

Question 9

Systems in the Laguna Copperplate Inscription (900AD)

Answer 9

•Saka calendar system
•Phases of the moon
•Standard system of weights and measurements

Question 10

How did Filipinos keep track of time and seasons?

Answer 10

•They observed the stars and what they saw in plants and animals as well as their natural movements.

Question 11

How did the early Filipinos refer to the Pleiades?

Answer 11

7 little goats

Question 12

How did the early Filipinos refer to the change of seasons

Answer 12

Mapolon

Question 13

What did they call the constellations?

Answer 13

Talampad

Question 14

How did they refer to Orion?

Answer 14

Balatik

Question 15

What is the official name for Pleiades?

Answer 15

Moroporo/Mapulan

Question 16

These numbers in ethnomatematics:
1000
10 000
100 000
1 000 000
10 000 000

Answer 16

•Labi sa libo isa
•Sanglaksa
•Sangyuta
•Sangawngaw/Sangpuongyuta
•Kati

Question 17

How did ethnomatematicians referred to the concept of Infinity?

Answer 17

Sang bahala

Question 18

It is an irrational number that is non-repeating, non terminating

It is also the circumference of any circle to its diameter

Answer 18

Pi

Question 19

An irrational non-repeating and non-terminating number.

Shapes proportioned according to it have long been considered aesthetically pleasing.

Answer 19

Golden Ratio

Question 20

How did the greeks utilized the golden ratio in everyday living?

Answer 20

•Art
•Sculpture
•Architecture

Standards of Beauty

Question 21

A series in which each succeeding number is the sum of two numbers before it.

Answer 21

Fibonacci Sequence

Question 22

Hailed as the first
mathematician to whom a mathematical theorem, obtained using deductive reasoning, has been attributed.

Answer 22

Thales of Miletus

Question 23

This theorem can be used to measure the height of pyramids using their shadow.

Answer 23

Intercept Theorem

Question 24

Proof of the Pythagorean Theorem

Answer 24

a^2 + b^2 = c^2

Question 25

He is credited for the first calculation of the Earth’s circumference by measuring length of shadows in Alexandria.

Answer 25

Eratosthenes of Cyrene

Question 26

He used the method of exhaustion to calculate area of circle

Answer 26

Archimedes of Syracuse

Question 27

These three mathematicians are credited for the discovery of the hyperbolic geometry

Answer 27

•Bolyai •Lobachevsky •Gauss

Question 28

Properties of Triangles in Hyperbolic Geometry

Answer 28

•Triangles with the same angles have the same areas. •The sum of the interior angles of a triangle is less than 180 •There are no rectangles (quadrilaterals with 4 right angles). •The sum of the interior angles of quadrilateral is less than 360◦

Question 29

Proved in 1868 that the two contradictory geometries, Euclidean and hyperbolic, were equally valid.

Answer 29

Eugenio Beltrami

Question 30

What type of Geometry did Einstein use to develop his theory of relativity?

Answer 30

Riemannian geometry