©SIRJOEL EXAM SOLUTIONS
10/7/2024 11:03AM
Mathematics in the Modern World Exam
Study Guide.
Chapter 1 –
Nature of Mathematics
Nature of Mathematics - answer✔A. Patterns and Numbers in Nature and World
B. Fibonacci Sequence
2. Exponential Growth Model
A. Patterns and Numbers in Nature and World - answer✔Patterns are regular, repeated, or
recurring forms or designs which are commonly observed in natural objects such as six-fold
symmetry of snowflakes, hexagonal structure, and formation of honeycombs, tiger's stripes and
hyena's spots. Humans are hard wired to recognize patterns and by studying them we discovered
the underlying mathematical principles behind nature's designs.
Patterns and Numbers in Nature and World - answer✔Human mind and culture have developed a
formal system of thought for recognizing, classifying, and exploiting patterns called
Mathematics.
Patterns and Numbers in Nature and World - answer✔By using Mathematics to organize and
systematize our ideas about patterns, we have discovered a great secret: nature's patterns are not
just there to be admired, they are vital clues to the rules that governs natural processes.
Examples of Patterns and Numbers in Nature and World - answer✔1. The snowflake
2. The honeycomb
3. The sunflower
4. The snail's shell
5. Flower's petals
6. Weather
, ©SIRJOEL EXAM SOLUTIONS
10/7/2024 11:03AM
Snowflake - answer✔a flake of snow, especially a feathery ice crystal, typically displaying
delicate sixfold symmetry.
Honeycomb - answer✔a structure of rows of hexagonal wax cells, formed by bees in their hive
for the storage of honey, pollen, and their eggs.
Sunflower - answer✔any plant of the genus Helianthus having large flower heads with dark disk
florets and showy yellow rays
Weather - answer✔The condition of Earth's atmosphere at a particular time and place.
Exponential Growth Model - answer✔Population growth and bacterial decay can be modeled by
the exponential growth or decay formula.
Exponential Growth Model - answer✔growth model that estimates a population's future size
after a period of time based on the intrinsic growth rate and the number of reproducing
individuals currently in the population
Exponential Growth Model - answer✔a mathematical description of idealized, unregulated
population growth
Exponential Growth Model - answer✔Model's rate of change increases exponentially
Decay Formula - answer✔A=P(1-r)^t
B. Fibbonacci Sequence - answer✔
Sequence - answer✔an ordered list of numbers called terms that may have repeated values. The
arrangement of these terms is set by definite rule. Applying the rule to the previous terms of the
sequence generates the different terms of the sequence.
Example:
5, 14, 27, 44, 65, ...
In the above sequence, 5 is the fi rst term, 14 is the second term, 27 is the third term, 44 is the
fourth term, and 65 is the fi fth term.
10/7/2024 11:03AM
Mathematics in the Modern World Exam
Study Guide.
Chapter 1 –
Nature of Mathematics
Nature of Mathematics - answer✔A. Patterns and Numbers in Nature and World
B. Fibonacci Sequence
2. Exponential Growth Model
A. Patterns and Numbers in Nature and World - answer✔Patterns are regular, repeated, or
recurring forms or designs which are commonly observed in natural objects such as six-fold
symmetry of snowflakes, hexagonal structure, and formation of honeycombs, tiger's stripes and
hyena's spots. Humans are hard wired to recognize patterns and by studying them we discovered
the underlying mathematical principles behind nature's designs.
Patterns and Numbers in Nature and World - answer✔Human mind and culture have developed a
formal system of thought for recognizing, classifying, and exploiting patterns called
Mathematics.
Patterns and Numbers in Nature and World - answer✔By using Mathematics to organize and
systematize our ideas about patterns, we have discovered a great secret: nature's patterns are not
just there to be admired, they are vital clues to the rules that governs natural processes.
Examples of Patterns and Numbers in Nature and World - answer✔1. The snowflake
2. The honeycomb
3. The sunflower
4. The snail's shell
5. Flower's petals
6. Weather
, ©SIRJOEL EXAM SOLUTIONS
10/7/2024 11:03AM
Snowflake - answer✔a flake of snow, especially a feathery ice crystal, typically displaying
delicate sixfold symmetry.
Honeycomb - answer✔a structure of rows of hexagonal wax cells, formed by bees in their hive
for the storage of honey, pollen, and their eggs.
Sunflower - answer✔any plant of the genus Helianthus having large flower heads with dark disk
florets and showy yellow rays
Weather - answer✔The condition of Earth's atmosphere at a particular time and place.
Exponential Growth Model - answer✔Population growth and bacterial decay can be modeled by
the exponential growth or decay formula.
Exponential Growth Model - answer✔growth model that estimates a population's future size
after a period of time based on the intrinsic growth rate and the number of reproducing
individuals currently in the population
Exponential Growth Model - answer✔a mathematical description of idealized, unregulated
population growth
Exponential Growth Model - answer✔Model's rate of change increases exponentially
Decay Formula - answer✔A=P(1-r)^t
B. Fibbonacci Sequence - answer✔
Sequence - answer✔an ordered list of numbers called terms that may have repeated values. The
arrangement of these terms is set by definite rule. Applying the rule to the previous terms of the
sequence generates the different terms of the sequence.
Example:
5, 14, 27, 44, 65, ...
In the above sequence, 5 is the fi rst term, 14 is the second term, 27 is the third term, 44 is the
fourth term, and 65 is the fi fth term.
