Review Notes

Question 1

are regular, repeated, or recurring forms or designs. Humans are hardwired to recognize patterns, and by studying them, we discover the underlying mathematical principles behind nature’s designs.

Answer 1

Patterns

Question 2

A = Pert

Answer 2

Exponential Growth Model

Question 3

An ordered list of numbers called terms that may have repeated values. The arrangement of these terms is set by a definite rule. Applying the rule to the previous terms of the sequence generates the different terms of the sequence.

Answer 3

Sequence

Question 4

is formed by adding the preceding two numbers, starting with 0 and 1.

Answer 4

Fibonacci Sequence

Question 5

We need mathematical tools to help us make sound analyses and make better decisions.

Answer 5

Organization

Question 6

The chance of an event happening can be calculated by applying probability.

Answer 6

Prediction

Question 7

Mathematics can be used as a tool. Through technological advancement, humans were able to expand their horizons

Answer 7

Control

Question 8

a statement that is both universal and conditional which contains some variation of the words “for all”, and conditional statements contain versions of the words “if-then”.

Answer 8

Universal Conditional Statement

Question 9

It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part asserts the presence of something.

Answer 9

Universal Existential Statement

Question 10

Denoting a set by enumerating all of its elements between braces.

Answer 10

Set-Roster Notation

Question 11

It refers to a set “S” and “P(x)” be a property that elements of “S” may or may not satisfy

Answer 11

Set-Builder Notation

Question 12

It refers to any two sets denoted by A and B such that every element of A is also an element of B, then A is called subset of B.

Answer 12

Subset

Question 13

It refers to given elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair, and b is the second element. Any two ordered pairs (a,b) and (c,d) are said to be equal if and only, a=c, and b=d.

Answer 13

Ordered Pair

Question 14

It refers to given sets A and B denoted by A x B and read as “A cross B” where the set of ordered pairs (a,b) where a is in A and b is in B.

Answer 14

Cartesian Product It refers to given sets A and B denoted by A x B and read as “A cross B” where the set of ordered pairs (a,b) where a is in A and b is in B.

Question 15

When two sets form a collection of ordered pairs of (x,y), each of which coming from each set then it is said that x R y.

Answer 15

Relation

Question 16

When two quantities x and y are related so that for some range of values of x, the value of y is determined by that of x, then we say that y is a function of x.

Answer 16

Function

Question 17

Two functions are said to be equal if and only they have the same set of ordered pairs. (x, y)

Answer 17

Equality of Functions

Question 18

Intuitive Reasoning

Answer 18

The type of reasoning where a conclusion is made by means of specific examples.

Question 19

the conclusion formed using inductive reasoning.

Answer 19

Conjecture the conclusion formed using inductive reasoning.

Question 20

The type of reasoning where a conclusion is made by applying assumptions, procedures, or principles.

Answer 20

Deductive Reasoning

Question 21

An ordered list of numbers.

Answer 21

Sequence

Question 22

the numbers in a sequence separated by commas.

Answer 22

Term

Question 23

n(n + 1)/2

Answer 23

Triangular Numbers

Question 24

Geometric shapes associated with numbers.

Answer 24

Polygonal Numbers

Question 25

n2 Square Numbers

Answer 25

Square Numbers

Question 26

n(3n-1)/2

Answer 26

Pentagonal Numbers