Module 1 Flashcards
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Leonardo Pisano Bigollo introduced __________ which superseded Roman Numerals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
is a detailed pattern that looks similar at any scale and repeats itself over time
Fractal
What is the length and width of the golden rectangle?
89x144
The mathematical language is precise, concise, and powerful
true or false
true
are communication tools used to concisely represent ideas related to mathematics
mathematical symbols
what is the phrase of the symbol: { }
set of
what is the phrase of the symbol: ∈
element of
what is the phrase of the symbol: ∩
Intersection of sets
what is the phrase of the symbol: ℝ
real numbers
what is the phrase of the symbol: ℤ
integers
what is the phrase of the symbol: ∪
union of sets
what is the phrase of the symbol: ℚ
rational numbers
what is the phrase of the symbol: ℕ
natural numbers
what is the phrase of the symbol: P
Positive integers
what is the phrase of the symbol: ⊥
Perpendicular
what is the phrase of the symbol: ⊂
subset of
what is the phrase of the symbol: ||
Parallel
what is the phrase of the symbol: ≅
Congruent to
what is the phrase of the symbol: ∠
Angle
what is the phrase of the symbol: ∎
End of proof
what is the phrase of the symbol: ∴
Therefore
what is the phrase of the symbol: Σ
Sum of
what is the phrase of the symbol: M or x̄
Mean
what is the phrase of the symbol: SD or s
Standard Deviation
what is the phrase of the symbol: α
Level of significance
what is the phrase of the symbol: Ho
Null hypothesis
what is the phrase of the symbol: r
Pearson’s correlation coefficient
What kind of mathematical symbols are: r, Ho, α, SD or s, M or x̄, and Σ
Statistics
What kind of mathematical symbols are: ∴, ∎, ∠, ≅, ||, and ⊥
Geometry
What kind of mathematical symbols are: ⊂, ∩, { }, ∈, and ∩
Sets
What kind of mathematical symbols are: ℝ, ℕ, ℚ, ℤ, and P
Sets of numbers
what is the phrase of the symbol: |α|
Absolute value of α
what is the phrase of the symbol: ≠
Not equal to
what is the phrase of the symbol: ∞
Infinity
what is the phrase of the symbol: ±
positive or negative
what is the phrase of the symbol: log
logarithm
what is the phrase of the symbol: ≈
Approximately Equal
what is the phrase of the symbol: sin(θ)
sine of an angle
what is the phrase of the symbol: f(x)
Function
what is the phrase of the symbol: ≤
less than or equal to
what is the phrase of the symbol: ∛
cube root
what is the phrase of the symbol: °F
degrees Fahrenheit
what is the phrase of the symbol: °C
degree Celsius
what is the phrase of the symbol: 𝜑
Golden ratio
what is the phrase of the symbol: σ
standard deviation
what is the phrase of the symbol: π
pi
what is the use of the symbol: θ
name of an angle
what is the use of the symbol: △
change in values or difference
