Module 1 Flashcards
(71 cards)
provides us with a powerful means of communication
Mathematics
an objective language that allows us to express quantifiable relationships concisely
Mathematics
Mathematics provides us with a powerful means of communication - an objective language that allows us to express quantifiable relationships concisely
- is said by…
Ogena and Tan, 2006
Also known as Fibonacci
Leonardo Pisano Bigollo
Leonardo Pisano Bigollo born around ____ __ in the Bonacci family
(date)
1170 AD
Leonardo Pisano Bigollo Grew up in ______ ______
Pisa, Italy
Leonardo Pisano Bigollo introduced __________ which superseded Roman Numerals
Hindu-Arabic
He is known for “Fibonacci Sequence”
Leonardo Pisano Bigollo
Leonardo Pisano Bigollo wrote mathematical works:
- Liber Abbaci (The Book of Calculating) in 1220
- Practica Geomatriae (Practical Geometry) in 1220
- Flos in 1225
- Liber Quadratorum (The Book of Squares) in 1225
What type of mathematical sequence is this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144
Fibonacci Sequence
It is a recursive sequence such that each number is the sum of the two preceding ones. This means, 0+1 = 1, 1+1 = 2, 1+2=3 and so on, and this sequence can carry on indefinitely.
Fibonacci Sequence
is the sum of the two previous numbers
Fibonacci Sequence
is the idea that if we take the ratio of any two consecutive numbers from the sequence, say 8/5, 13/8, 21/13, or 55/34, we find that the result derives surprisingly close to 1.61803.
The golden ratio
The golden ratio is equivalent to the number….
1.61803
The golden ratio is denoted by the symbol ________ whose value is an irrational number and has an exact value of 1+√5/2.
𝜑 𝑜𝑟 𝜙 (phi)
The golden ratio is also called: (give three)
- Divine Proportion
- Golden Section
- Golden Mean
occurs when you spiral a line through the golden rectangle.
The Fibonacci Spiral
It is created by constructing a succession of squares whose sizes are the Fibonacci numbers, and then trace a line through the diagonals of each square.
The Fibonacci Spiral
- Is a science of structure, order, and relation that has evolved from elemental practices of counting, measuring and describing the shapes of objects.
Mathematics
“Mathematics is a formal system of thought for recognizing, classifying, and exploiting patterns developed by human and culture” by ___ ________
Ian Stewart.
is a correspondence size, shape, and relative position of parts on opposite sides of a dividing line or about a center axis
Symmetry
is a curved shaped pattern that focuses on a center point and a series of circular shapes that revolve around it
Spiral
is a line or band that differs in color or tone from an adjacent area
Stripes
is pattern frame by repeating shapes all over a surface
Tessellation
