Lesson 2

Question 1

__________ - is the system used to communicate mathematical ideas.

Answer 1

Mathematical Language

Question 2

_____________ - has its own grammar, syntax, vocabulary, word order, synonyms, conventions, idioms, abbreviations, sentence structure and paragraph structure. It has certain language features unparalleled in other languages, such as representation.

Answer 2

Mathematical Language

Question 3

______________ : Creating appropriate representations and relationships to mathematize the original problem.

Answer 3

Modelling and Formulating

Question 4

_____________ : Changing the mathematical form in which a problem is originally expressed to equivalent forms that represent solutions.

Answer 4

Transforming and manipulating

Question 5

___________: Applying derived results to the original problem situation, and interpreting and generalizing the results in that light.

Answer 5

Inferring

Question 6

________________ : Reporting what has been learned about a problem to a specified audience.

Answer 6

Communicating

Question 7

______________________ consist of terms. The terms is separated from other terms with either plus or minus signs. A single term may contain an expression in parentheses or other grouping symbols.

Answer 7

Mathematical Expressions

Question 8

Types of Mathematical Expressions

Monomial, __________ , Trinomial
_________ 2 Terms __________

Answer 8

1Term, Binomial, 3 Terms

Question 9

_______________ combines two mathematical expressions using a comparison operator.

Answer 9

Mathematical Sentence

Question 10

These expressions either use numbers , variables or both. The ______________ include equal, not equal , greater than, greater than or equal to, less than, and less than or equal to.

Answer 10

comparison operators

Question 11

A mathematical expressions containing the equal sign is an __________.

Answer 11

Equation

Question 12

The two parts of an equation are called _________.

Answer 12

members

Question 13

A mathematical expression containing the inequality sign is an _________.

Answer 13

inequality

Question 14

The signs which convey equality or inequality are also called ________________ because they specify how two expressions are related

Answer 14

relation symbols

Question 15

What is the 2 things to understand symbols?

Answer 15

Context, Convention

Question 16

___________ (background) refers to the particular topics being studied and it is important to understand the context to understand mathematical symbols.

Answer 16

Context

Question 17

____________ is a technique used by mathematicians, engineers, scientists in which each particular symbol has particular meaning.

Answer 17

Convention

Question 18

A ____ is a well-defined collection of distinct objects, The objects that make up a set is called _________.

Answer 18

set, elements

Question 19

_________ has no element and is denoted by ∅ by a pair of braces with no element inside , i.e. { }

Answer 19

Empty /Null /Void Set

Question 20

_________ has countable number of elements , i.e. A = {1, 2, 3, 4, 5}

Answer 20

Finite Set

Question 21

__________ has uncountable number of elements,
A = { …,-3,-2,-1,0,…}

Answer 21

Infinite Set

Question 22

____________ is the totality of all the elements of the sets under consideration, denoted by U, i.e. U = { …-2,-1,0,1,2,…}

Answer 22

Universal Set

Question 23

__________ have been the same elements.

Ex. A = [4, 12, 8, 9, 16]
B = [9, 8, 12, 16, 4]

Answer 23

Equal Sets

Question 24

_______________ have the same number of elements.

Ex.
A = [A, B, C, D, E]
B = [ Jan., Feb, Mar, Apr., May]

Answer 24

Equivalent Sets

Question 25

_________ have at least one common element.

Answer 25

Joint Sets

Question 26

_________ have no common element.

Answer 26

Disjoint Sets

Question 27

_______ is a set every element of which can be found on a bigger set.

Answer 27

Subset

Question 28

other than the set itself and the null set, all are considered _________.

Answer 28

Proper Subset

Question 29

_________ the set containing all the subsets of the given set with number of elements.

Answer 29

Power Set

Question 30

_________________ [ denoted by AU B] is a set whose elements are found in A and B or in both . In symbol: A cup B = { x/x in A or x in B}.

Answer 30

Union of Sets A and B

Question 31

__________________ [denoted by A n B ]is a set whose elements are common to both sets.

Answer 31

Intersection of Sets A and B

Question 32

__________ [denoted by A - B] is a set whose elements are found in set A but not in set B. In symbol: A-B={ x/x in A and B}.

Answer 32

Difference of Sets A and B

Question 33

________________ [ denoted by A^ prime ] is a set whose elements are found in the universal set but not in set A. In symbol: A^ prime ={ x/x EU and x notin A}

Answer 33

Complement of Set A

Question 34

The pictorial representation of relationship and operations of set is the so called Venn -Euler Diagrams or simply ___________.

Answer 34

Venn Diagrams

Question 35

The ___________ is usually represented by a rectangle while circles with the rectangle usually represent it _______.

Answer 35

Universal set, Subsets

Question 36

__________ are mathematical entities that give unique outputs to particular inputs. It is consists of argument (input to a function), value (output), domain (set of all permitted inputs to given function ) and codomain (set of permissible outputs).

Answer 36

Functions

Question 37

A _________ is a rule which associates each element of the first set with at least one element in the second set.

Answer 37

Relation