Module 1

Question 1

are regular, repeated, or recurring forms or designs.

Answer 1

patterns

Question 2

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

Answer 2

symmetry

Question 3

involve finding the optimum method of filling up a given space

Answer 3

Packing problems

Question 4

as composed of six equilateral triangles

Answer 4

Hexagon

Question 5

the formula for exponential growth

Answer 5

A = Pe^rt

Question 6

e is Euler’s constant with an approximate value of ?

Answer 6

2.718

Question 7

The formula for exponential growth can also be used for exponential decay

True or false

Answer 7

true

Question 8

the succeeding
numbers that form our pattern.

Answer 8

Sequence

Question 9

is an ordered list of numbers

Answer 9

Sequence

Question 10

that may have repeated values.

Answer 10

Terms

Question 11

The arrangement of these terms is set by a definite rule.

Answer 11

Sequence

Question 12

It
is named after the Italian mathematician ________, who was better known by his nickname
___________.

Answer 12

Leonardo of Pisa, Fibonacci

Question 13

Fibonacci numbers approach the number

Answer 13

Φ (Phi)

Question 14

Fibonacci numbers approach the number Φ (Phi), also known as the _____ . This is approximately equal to ______

Answer 14

Golden Ratio, 1.618

Question 15

We have seen in the preceding sections how evident mathematics is in the natural world,
specifically in how the patterns that we observe in nature follow logical and mathematical
structures.

Answer 15

Mathematics for our World

Question 16

A lot of events happen around us. In the blink of an eye, several children have already been born,
liters of waters have been consumed, or thousands of tweets have been posted.

Answer 16

Mathematics for Organization

Question 17

For us to make
sense of all available information, we need mathematical tools to help us make sound analysis
and better decisions.

Answer 17

Mathematics for Organization

Question 18

is a symbol which represents any number from a given replacement set. The
replacement set is the set of values of the variable.

Answer 18

variable

Question 19

says that a certain property is true for all elements in a set.
(For example: All positive numbers are greater than zero.)

Answer 19

A universal statement

Question 20

says that if one this is true, then some other thing also has to be true.

Answer 20

conditional statement

Question 21

says that there is at least one thing for which the property is true

Answer 21

existential statement

Question 22

says that a certain property is true for all elements in a set.

Answer 22

A universal statement

Question 23

is a collection of objects, called the elements of the set.

Answer 23

A set

Question 24

must be well defined, meaning that its elements can be described and listed without
ambiguity.

Answer 24

A set

Question 25

If every element in set A is also an element of set B, then A is a ______ of B,

Answer 25

SUBSET

Question 26

is the set that contains all objects under consideration. It written as ____

Answer 26

U for universal subset

Question 27

is an empty set. The null set is a subset of any set.

Answer 27

NULL SETS

Question 28

The symbol ____ or ____ will be used to refer to an __________

Answer 28

∅ or { } empty set

Question 29

Is the number of elements contained in set A. It is written as n(A).

Answer 29

CARDINALITY OF A SETS

Question 30

The set of first components in the ordered pairs is called the

Answer 30

domain of the relation.

Question 31

The set of second components in the ordered pairs is called the

Answer 31

range of the relation.

Question 32

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

Answer 32

Inductive Reasoning

Question 33

The conclusion formed by using inductive reasoning is a

Answer 33

conjecture,

Question 34

is the process of reaching a general conclusion by examining specific examples. OBSERVED

Answer 34

Inductive Reasoning

Question 35

When you examine a list of numbers and predict the next number in the list according to some patterns you have observed, you are using

Answer 35

Inductive Reasoning

Question 36

is the process of reaching a conclusion by applying general assumptions, procedures and principles.

Answer 36

Deductive Reasoning

Question 37

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

Answer 37

Deductive Reasoning

Question 38

is a function whose domain is a finite set of positive integers {1, 2, 3,..., n} or an infinite set {1, 2, 3, ...}

Answer 38

sequence

Question 39

Each element or object in the sequence is called

Answer 39

terms

Question 40

A sequence having last term is called

Answer 40

Finite sequence

Question 41

while a sequence with no last term is called

Answer 41

infinite sequence

Question 42

is a sequence where every term after the first is obtained by adding a constant.

Answer 42

arithmetic sequence

Question 43

is the constant number added to the preceding term of the arithmetic sequence.

Answer 43

Common difference (d)

Question 44

The formula for the general term of an arithmetic sequence is

Answer 44

a n = a 1 + (n − 1) d

Question 45

Means are the terms between any two nonconsecutive terms of an arithmetic sequence.

Answer 45

Arithmetic Means

Question 46

the mid-point between two numbers,

Answer 46

(x+y) / 2

Question 47

is the application of mathematical skills and reasoning to problems encountered in everyday life.

Answer 47

Problem Solving