MATHEMATICAL LANGUAGE & SYMBOLS

LANGUAGE

the principal method of

human communication,

consisting of words used

in a structured and

conventional way and

conveyed by speech,

writing, or gesture

Mathematical Verb

considered as the four

main actions attributed

to problem solving and

reasoning.

Mathematical Noun

it refers to numbers,

measurements, shapes,

spaces, functions,

patterns, data and

arrangement.

MODELLING & FORMULATING

creating appropriate representations and relationships to mathematize the

original problem.

TRANSFORMING & MANIPULATING

changing the mathematical forms that represent solutions.

INFERRING

applying derived results to the original problem situation, and interpreting and

generalizing the result in that light.

COMMUNICATING

reporting what has been learned about a problem to specified audience.

𝑵

𝟏, 𝟐, 𝟑, … Set of Natural Numbers

𝑾

𝟎, 𝟏, 𝟐, 𝟑, … Set of Whole Numbers

𝒁

… − 𝟐, −𝟏, 𝟎, 𝟏, 𝟐, … Set of Integers

𝑸

Set of Rational Numbers

𝑸′

Set of Irrational Numbers

𝑹

Set of Real Numbers

𝑪

Set of Complex Numbers 𝑎 +𝑏𝑖

MATHEMATICAL EXPRESSION

it consists of terms that are separated by either

plus and minus sign only.

NUMERICAL COEFFICIENT

the number attached to the variable.

LITERAL COEFFICIENT

the variable itself

CONSTANT

any single number.

MATHEMATICAL SENTENCE

it is the combination of two mathematical

expressions using a comparison operator.

Mathematical expression

An expression is a combination of numbers, variables, and mathematical operations. It does not have an equals sign or an inequality sign.

Mathematical equation

An equation states that two expressions are equal. It uses the equals sign, ===

Mathematical inequality

An inequality compares two expressions using symbols such as