Module 1 Flashcards

1
Q

IT IS THE STUDY OF PATTERN AND STRUCTURE

A

MATHEMATICS

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2
Q

An arrangement which helps observers anticipate what they might see or what happens next

A

PATTERN

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3
Q

The regular arrangement of objects in
any form found everywhere plants, animals, humans, earth
formations, and many others. These include symmetries,
spirals, waves, arrays, cracks, stripes, etc.

A

PATTERNS IN NATURE

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4
Q

A design or pattern that is identical on both halves when folded.

A

SYMMETRY

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5
Q

2 types of symmetry

A

BILATERAL OR REFLECTION SYMMTERY AND RADIAL SYMMETRY

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6
Q

Sometimes called line symmetry or mirror symmetry, captures
symmetries when the left half of a pattern is the same as the
right half.

A

BILATERAL OR REFLECTION SYMMTERY

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7
Q

Symmetry in which the sides exhibit correspondence or regularity of parts around a central axis.

A

RADIAL SYMMETRY

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8
Q

It is a pattern in nature that is a “never ending pattern”

A

FRACTALS

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9
Q

A flat surface is the
tiling of a plane using one or more geometric shapes, called tiles,
with no overlaps and no gaps.

A

TESSELLATION

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10
Q

It is a one containing objects, shapes, pictures, or other elements that repeat themselves

A

GEOMETRIC PATTERNS

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11
Q

LOGIC PATTERNS

A

Logic patterns are usually the first to be observed.

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12
Q

It is a list or set of numbers that follow a certain sequence or pattern. As an arrangement of numbers, it illustrates a way
that it follows a particular property or pattern.

A

NUMBER PATTERNS

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13
Q

EXAMPLE OF NUMBER PATTERN:
Find the next number in the pattern
46, 49, 52, 55, 58,_

A

61

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14
Q

What are the frequently observed patterns in nature and the world

A

HONEYCOMB, SNOWFLAKES, TIGER STRIPES, HYENA’S SPOT, SUNFLOWER, SNAIL’S SHELL, FLOWER’S PETAL, WEATHER PATTERS

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15
Q

Are sinuous bends in rivers or other channels, which
form as a fluid, most often water, flows around bends.

A

MEANDERS

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16
Q

A ____ is a mass of bubbles; ____ of different materials occur in nature. (Same answer)

17
Q

What are the 6 common patterns?

A

LOGIC PATTERNS
NUMBER PATTERNS
WORD PATTERNS
GEOMETRIC PATTERNS
PATTERNS IN NATURE
PATTERNS IN ART AND ARCHITECTURE

18
Q

What are the roles of Mathematics?

A
  • helps organize patterns and regularities
  • predict the behavior of nature and phenomenon
  • control nature and occurrences
  • has numerous applications in the world making it indispensable
19
Q

Patterns can be _____________________________.

A

sequential, spatial, temporal, and linguistic

20
Q

Why do we study patterns?

A
  • to analyze and solve problems
  • allows us to observe, hypothesize, discover, and create
  • to see relationships and develop generalizations
21
Q

What are the common patterns?

A

LOGIC, WORD, NUMBER, PATTERNS (IN NATURE AND ART&ARCHITECTURE), AND GEOMETRIC

22
Q
  • An infinite strip pattern or a border pattern.
  • Decorative carving that is repetitive in one direction.
  • Two-dimensional pattern.
23
Q

Formed by spinning and/or reflecting a motif or element

24
Q

Two types of Rosette

A
  1. CYCLIC - exclusively reveals rotational symmetries
  2. DIHEDRAL - allows for both rotational and bilateral/reflectional symmetries
25
A pattern with translation symmetry but has two directions.
WALLPAPER
26
Types of Tessellations
1. REGULAR 2. SEMI-REGULAR 3. IRREGULAR
27
Composed of identically sized and shaped regular polygons (square, equilateral triangles, hexagons). It forms degrees around each vertex.
REGULAR TESSELLATIONS
28
Only 8 combinations of regular polygons (square, equilateral triangles, hexagons, octagons, and dodecagons)
SEMI-REGULAR TESSELLATIONS
29
Consists of figures that aren't composed of regular polygons.
IRREGULAR TESSELLATIONS
30
Why do we study Mathematics?
Calculation, Application, Inspiration
31
A set of numbers that the next number is found by adding up the two numbers before it.
FIBONACCI SEQUENCE
32
Who was the first to discover or invent the Fibonacci Sequence?
Leonardo Fibonacci or "Leonard of Pisa"
33
- The ratio of a line segment, which is cut into two pieces of unequal lengths. - a/b = a+b/a
GOLDEN RATIO
34
The value of the Golden Ratio is approximately equal to _________.
1.618
35
Denoted by the Greek letter Phi.
GOLDEN RATIO