Lessons from module 1-2 Flashcards
are regular, repeated, or recurring forms or design. Can sometimes be modeled mathematically.
Pattern
Related to geometric and number patterns. Helps us classify objects or figures.
Logic pattern
Is it kind of pattern formed of sequences of lines and curves to formed geometric shapes, or figures
Geometric patterns
Is a list or set of numbers that follow a certain sequence or arrangement
Number patterns
Is an ordered list of numbers that may have repeated values
Sequence
A type of sequence that is made by adding the same value each time
Arithmetic sequence
Is a sequence of numbers that follow apart of multiplying a fixed number from one term to the next term
Geometric sequence
Named after the Italian mathematician, Leonardo of Pisa, or Leonardo Pisano
Fibonacci sequence
Are visible regularities of form found in the natural world
Patterns in nature
Bilateral symmetry, mirror, images of each other, rotational symmetry
Symmetry
A series of Benz or strips often of the same width and color along the length example zebra tiger
Stripes
A particular place or area that differs in color from its surroundings
Spots
A curve that inmates from a point moving farther away
Spiral
A self similar spiral curve that often appears in nature. An example of this is snail.
Equiangular spiral
Involves finding the optimum method of filling up a given space, such as a cubic or spherical container
Packing problem
It was discovered after an investigation, and the number of rabbits
Origin of Fibonacci sequence
Are generated and extended by adding a few consecutive reciting terms to find a succeeding term. In short term, add the last two numbers to get the next number.
Fibonacci sequence
Often noted by the Greek letter (phi)
The golden ratio
What is mathematics for?
It is significant to human
Helps as unravel the puzzles of nature, organize patterns and regularity, as well as irregularities enables us to make predictions
How mathematics is expresses?
Numbers symbols, notations operations equations, and functions process evaluation, simplification, and proof a story rather than a sequence of state
How is it done?
Mathematics is done with curiosity with a penchant of seeking patterns and generalities, the desire to know the truth, with trial and error, without fear of facing more questions and problems to solve
Who uses mathematics?
Mathematicians (pure and applied), scientist(natural and social) and everyone
Why important to learn or know?
First, Madix helps organize patterns and regularity number two it helps predict the behavior of nature and phenomena in the world. It also helps control nature and occurrences in the world for our own ends
Is the means of communication and because of this, we will be able to communicate with others
Language
maticians to communicate mathematical ideas among themselves? It has symbol syntax.
Mathematical language
To express a formula or to represent a constant, it can designate numbers, variables, operations, functions, brackets, etc. it also helped determine order of operation
Symbols or mathematical symbols
To make the expression will formed to make the characters and symbols, clear and valid that do not violate the rules
Syntax or mathematical syntax
Able to make very fine, distinctions, or definitions
Precise
Able to say briefly
Concise
Able to express complete thoughts with relative case
Powerful
Is a finite combination of symbol that is well formed, according to the rules that depend on the context
Mathematical expression
Does not state a complete thought
Mathematical expression
The correct arrangement of mathematical symbols that states a complete thought sentences have verbs
Mathematical sentence
Is a fact, name, notation, or usage, which is generally upon by mathematicians.
Mathematical convention
The set of rules that determines which operations should be done before, or after others.
PEMDAS