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WorksheetsCHAPTER 1 — Mathematics in the Modern World
Total questions: 82
Worksheet time: 29mins
A series of numbers in which the next term is produced by adding two previous numbers
Fibonacci sequence
Fibonacci spirals
Who introduced the Fibonacci Sequence?
Leonardo da Vinci
Leonardo da Pisa
Fibonacci sequence was originated from...
Pisa, Italy
Rome, Italy
Leonardo da Pisa made a work in 1202 called...
Liber Abaci
Liber Abachi
What are the Fibonacci triangular numbers?
1, 3, 21, and 55
1, 1, 3, 21, and 55
Fibonacci sequence is the most fascinating sequence because of its surprising appearance in nature and arts
True
False
Fibonacci numbers arises naturally in...
animals
plants
What type of pattern is arising from the Fibonacci sequence?
Fibonacci Spiral
Golden Ratio
a series of connected quarter-circles draw inside an array squares with Fibonacci numbers for dimension
Fibonacci Spiral
Golden Ratio
the approximate number of Golden Ratio
1.6189
1.6180
Symbol of Golden Ratio
Pi (π)
Phi (Φ)
was first used by Leonardo da Vinci and used the value of Phi
Divine Proportion
Fibonacci Spiral
The other term of Golden Ratio
Divine Proportion
Golden Mean
is also associated with the Fibonacci sequence
Patterns
Golden Ratio
The number Phi (Φ) can be found by solving the solution for the quadratic equation
TRUE
FALSE
English translation of Liber Abaci
Book of Calculations
Book of Fibonacci Sequence
are any regularly repeated arrangement, especially a design made from repeated lines, shapes, or colors on a surface
Patterns
Waves
one shape does not change when moved in some way
fractals
symmetry
a geometric figure where each part has a similar structure
fractals
waves
Patterns include...
Reflections
Waves
Cracks
Spirals
Tessellations
a disturbance that travels through a medium from one location to another location
symmetry
waves
Who discovered the Binet's Formula?
Leonardo da Pisa
Jacques Binet
predicts and measures the track, location, and strength of typhoons
PAGASA
PHILVOLCS
people who study weather and do such predictions
meteorologist
climatologist
complete PHILVOLCS
(a)
complete PEIS
(a)
complete PAGASA
(a)
as the world advances technologically, it helped the meteorologist become more...
inaccurate
accurate
requires powerful supercomputers and tons of observational data from land, sea, and air weather stations around the world
Numeral Forecasting
Intensity
Public Storm Warning Signal Number 5 was added on ______ because tropical cyclones have become more intense recently
May 1, 2015
January 12, 2020
the agency responsible for mitigating disasters given by volcanic eruptions and earthquakes in the Philippines
PAGASA
PHILVOLCS
the agency responsible for mitigating disasters given by volcanic eruptions and earthquakes in the Philippines
PAGASA
PHILVOLCS
Pacific Ring of Fire, also known as ______
In the Philippines, there are __ active volcanoes spread throughout the archipelago
24
42
The latest volcanic eruption was by the Taal Volcano in Batangas on _______
May 1, 2015
January 12, 2020
is a sudden shaking ground caused by movements of rock materials below the earth's surface
earthquakes occurs most often from ____
tectonic plate boundaries
is a sudden shaking ground caused by movements of rock materials below the earth's surface
point inside the earth where the earthquake originated
epicenter
hypocenter/focus
point on the surface of the earth directly above the focus
epicenter
hypocenter
the strength of an earthquakes is measured in two ways
magnitude and intensity
hypocenter and epicenter
measures the energy released by an earthquake at the focus
magnitude
intensity
it is being measured using an instrument called ______
barometer
seismograph
is the strength of the earthquake felt by people in a certain area
magnitude
intensity
which is used to classify the intensity of an earthquake
PEIS
PHILVOLCS
defined as figures or objects which are bounded by lines, curves, or pointd
geometric shapes
tessellations
shape can be two dimensional
cube and cone
square and circle
shape can be three dimensional shapes
cube and cone
square and circle
are figures which only have length and width
two-dimensional shapes
three-dimensional shapes
shape can be three dimensional shapes
cube and cone
square and circle
the most 2 common 2-dimensional shape that we know is the ______
cube and cone
polygons and the circle
are closed figures bounded by line segments that into at their endpoint
polygons
tessellations
a polygon can either be _________
symmetry
convex or concave
all of its interiors angles must be less than 180 degrees and all parts of the diagonal lie inside the polygon
convex
concave
if some parts of the diagonal lie outside
convex
concave
a polygon can also be _________
equilateral, equiangular, and both
equilateral and equiangular
equilateral polygons have ________
congruent sides
congruent angles
equiangular polygons have ________
congruent sides
congruent angles
if a polygon is both equilateral and equiangular, it is called ______
irregular polygon
regular polygon
are solid figured with three dimensions, namely _______
length and width
length, width, and height
A three dimensional shape has ________
faces, edges, and vertices
square, regular polygon, and equilateral triangle
are solid figured with three dimensions, namely _______
length and width
length, width, and height
are solid figured with three dimensions, namely _______
length and width
length, width, and height
Euler's formula
F + V = E + 2
E + V = F + 2
created using a shape or shapes which can be repeated over and over to cover a plane without gaps and overlaps
geometric shapes
tessellations
created using a shape or shapes which can be repeated over and over to cover a plane without gaps and overlaps
geometric shapes
tessellations
tessellation can also be referred to as ______
in creating a tessellations, one concept being applied is _____
symmetry
fractals
4 types of symmetry in tessellations
translation, reflection, rotation, and glide reflection
convex, concave, equilateral, and equiangular
a shape is simply slid across the plane or just copied another location
reflection
translation
shape that has been flipped
reflection
translation
translation and reflection are used simultaneously
glide reflection
rotation
occurs when a shape is moved circularly around a central point called point of rotation
glide reflection
rotation
is made up of only one type of polygon
regular tessellations
semi-regular tessellations
formed by more than one regular polygon
regular tessellations
semi-regular tessellations
reflection across the x-axis
(x, y) → (x, -y)
(x, y) → (-x, y)
(x, y) → (y, x)
reflection across the y-axis
(x, y) → (x, -y)
(x, y) → (-x, y)
(x, y) → (y, x)
reflection across the line y=x
(x, y) → (x, -y)
(x, y) → (-x, y)
(x, y) → (y, x)
rotation 90° about the origin
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
rotation 180° about the origin
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
rotation 270° about the origin
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, -y)
dilation with respect to the origin and scale factor of k
(x, y) → (ky, kx)
(x, y) → (kx, ky)
