Lesson 1 MMW

Blaise Pascal

Who invented the first digital calculator to help his father with his work collecting taxes.

Spiral patterns

are also common and noticeable among plants and some animals.

Reflections

are flips of a shape to make an image as though it is a mirror.

true

t/f There is also a flow pattern present in meandering rivers with the repe33on of undula3ng lines.

Son of Fibonacci

"Fibonacci" means _________

ray florets

"petals" in the outer ring are actually small flowers also known as __________

Leonardo Pisano Bogollo

An Italian mathematician who discovered the sequence.

theoretical discipline

As a ______, math explore the possible relationships among abstractions without concern for whether those abstractions have counterparts in the real world.

Precision, Definition, Reasoning, Coherence, Purposefulness

Basic Characteristics of Mathematics

critical thinking skills, reasoning, spatial thinking and creativity

By studying Mathematics, we can enhances our ________,________,_________ and ________

The Golden Ratio

Denoted by phi (Φ) which approaches a value of 1.618034...

polygons.

Figures with regular shapes

symmetry

From the structure of subatomic particles to that of the entire universe, ________ is present.

geometric shapes and figures.

Geometric Patterns kind of pattern formed of sequences of lines and curves to form ________ and ________-

atmospheric pressure

In the field of physics, Blaise contributed to the study of ___________ through vacuum.

Logic Patterns

It helps us classify objects or figures.

mathematics

It is a concept that is applied to other disciplines, such as physics, engineering and finance.

Geometric Patterns

It is a kind of pattern to form geometric shapes and figures.

Number Patterns

It is a list or set of numbers that follow a certain sequence or arrangement.

The Golden Ratio

It is a number commonly encountered when taking ratios of distances in simple geometric figures such as pentagons, decagons and dodecagons.

mathematics

It is the science of calculation

Number Patterns

It uses basic operations of mathematics.

manthanein

Mathematics is derived from the ancient word "__________", which means "to learn".

patterns and relationships

Mathematics is the science of ________ and ________, and these patterns provide a sense of order.

bilateral symmetry

Our body exhibits _________. It can be divided into two identical halves.

reaction diffusion system

Pa8erns like spots and stripes that are commonly present in different organisms are results of a ___________ (Turing, 1952).

Blaise Pascal

Pascal's Triangle

Logic Patterns

Related to geometric patterns and number patterns.

six-fold radial

Snowflakes have __________ ___________ symmetry.

pinecones, pineapples, and sunflowers.

Spirals appear in many plants such as __________, ________ and ________

Leonardo Pisano Bogollo

The Fibonacci Sequence

knowledge, science or learning

The Greek root word "mathesis" or "máthema" means ________,__________ or __________

flow of liquids

The _________ provides an inexhaus3ble supply of nature's pa8erns.

Patterns of Rhythm

The beating of the heart, as well as breathing, is what part of pattern

motion

The symmetry of _________ is present in animal movements

bilaterally

These small flowers are __________ symmetrical

seeds, pinecones, branches, leaves

These visual patterns are can be seen from _______ and _________ to the _________ and ________

spiral

a curved pattern that focuses on a center point and a series of circular shapes that revolve around it.

Cones

a three-dimensional shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex

Hexagon

a two-dimensional six-sided closed polygon. Ex. Honeycomb

mechanical waves

a wave which propagate through a medium, such as air or water, making it oscillate as waves pass by.

ram and kudu

animals like _______ and ______ also have spiral patterns on their horns

Visual patterns

are often unpredictable, never quite repeat table, and often contain fractals

Fractal

are pa8erns formed from chaotic equations and contain self-similar patterns of complexity increasing with magnification.

Translations

are slides or shifts of a shape along a line.

Rotations

are turns, so when an shape is turned about a point, either inside or outside of itself,

Patterns of flow

are usually found in the water, stone, and even in the growth of tree

November 23

date of Fibonacci Day

divine proportion.

golden ratio is also called as _______

Parallel Lines

in mathematics, parallel lines stretch to infinity, neither converging nor diverging.

Geometric pattern

is a sequence of numbers that are based on multiplication and division.

shape

is a standard or universally recognized spatial form

Glide reflection

is an isometry that consists of a translation followed by a reflection.

wave

is any form of disturbance that carries energy as it moves.

Rhythm

is conceivably the most basic pattern in nature

Geometry

is the branch of Mathematics that basically describes shapes and establishes the relationships between them.

Symmetry

is when a figure has two sides that are mirror images of each other.

numbers, quantities annd shapes

mathematics It is the study of the relationships among _____,______, and ______

Mathematikós

means fond of learning.

Sphere

perfectly round geometrical object in three-dimensional space, such as the shape of a round ball.

term

reffers to the umbers in a sequence

radial and bilateral

sunflower contains both _______ and _______ symmetry

true

t/f mathematics is the universal language.

false

t/f As a geometric figure, each part of which do not have the same statistical character as a whole.

true

t/f By studying Mathematics, It makes us become better person and understand the world better.

false

t/f By studying Mathematics, it will not help us in our careers and real world applications

false

t/f Many of nature's rhythms are most unlikely similar to a heartbeat, while others are like breathing

false-regular

t/f Our hearts and lungs follow a irregular repeated pattern of sounds or movement whose timing is adapted to our body's needs.

false

t/f The human body is one of the pieces of evidence that there is no symmetry in nature

true

t/f The ice crystals that make-up the snowflakes are symmetrical or patterned.

false

t/f The intricate shape of a single arm of a snowflake is not similar to the other arms. This only proves that symmetry is does not present in a snowflake.

true

t/f The presence of symmetries in nature does not only a8ract our visual sense, but also plays an integral and prominent role in the way our life works

true

t/f The size and the shape of the pattern depend on how fast the chemicals diffuse and how strongly they interact.

false- spots, stripes

t/f We can see patterns like stripes on the skin of a giraffe. On the other hand, spots are visible on the skin of a zebra.

true

t/f By studying Mathematics It helps us organize patterns and irregularities in the world

disk florets

the dark inner ring of the sunflower is a cluster of radially symmetrical _____________

bilateral symmetry and radial symmetry

two different kinds of symmetry

self similar

visual patters are also visible in ________ replication of trees, ferns, and plants throughout nature.