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61 Cards in this Set
- Front
- Back
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Visible regularities found in the natural world |
Patterns |
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They studied patterns to explain order in nature |
Plato, Pythagoras, Empedocles |
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He examined soap films, leading him to formulate the concept of minimal surface |
Joseph Plateau |
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He painted hundreds of marine organism to emphasize their symmetry |
Ernst Haeckel |
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He pioneered the study of growth patterns in both plants and animals |
D'arcy Thompson |
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He predicted the mechanisms of morphogenesis |
Alan Turing |
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They showed how fractals could create plant growth patterns |
Aristid Lindenmayer & Benoit Mandelbrot |
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Patterns in Nature |
Snowflakes, Honeycomb, Tiger's Stripes, Sunflower |
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He adopt 8 patterns to his landscape work |
W. Gary Smith |
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Samples of numbers in nature |
Clover, Buttercup, Insect, Octopus |
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Pattern in landscape |
Spiral, Radial, Scattered, Dendritic |
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He formulate Fibonacci Sequence |
Leonardo Pisano Bogollo |
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Fibonacci means _________ |
"Son of Bonacci" |
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Fibonacci Day |
November 23 (1123) |
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phi(φ) is equal to approximately |
1.618034... |
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Fibonacci Flower |
1. 3-petal iris 2. 5-petal columbine 3. 8-petal delphinium 4. 13-petal ragwort 5. 21-petal aster 6. 34-petal pytethrum |
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Symmetrical Pattern |
Romanesco Broccoli Nautilus Shell Peacock tail Spider web |
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It is a system of word, signs, and symbols which people use to express ideas |
Language |
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It is the system used to communicate mathematical ideas |
Mathematical Language |
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Four main action by_______ |
Kenney, Hancewicz, Heuer, Metsisto and Tuttle |
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Four main action |
1. Modelling & Formulating 2. Transforming & Manipulating 3. Inferring 4. Communicating |
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Creating approciate representation and relationships to mathematize the original problem |
Modeling and Formulating |
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Changing the mathematical form in which a problem is orginally expressed to equivalent forms that represent solution |
Transforming and Manipulating |
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Applying derived results to the original problem situation, and interpreting and generalizing the result in that light |
Inferring |
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Reporting what has benn learned about a problem to specified audience |
Communicating |
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Characteristics of Mathematical Language |
1. Precise 2. Concise 3. Powerful 4. Clear 5. Objective |
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Represents the unknown and make use of letters |
Variable or literal coefficient |
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The number with the variable |
Numerical coefficient |
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Any single number is called ______. |
Constant |
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It combines 2 mathematical expression using a comparison operator |
Mathematical sentence |
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Not known whether mathematical sentence is true or false |
Open sentence |
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Mathematical sentence that is known to either true or false |
Closed sentence |
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Refers to the particular topic being studied and it is important to understand mathematical symbol |
Context |
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A technique used by math, engineers, scientist in each particular symbol |
Convention |
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It is a well-defined collection of distinct objects |
Set |
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Two ways to describe a set |
1. Roster/tabular method 2. Rule/Descriptive Method |
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Given set are listed or enumerated, separated by a comma inside the pair of braces |
Roster/tabular method |
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Common characteristic of the element is defined |
Rule/descriptive method |
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Kinds of set |
1. Empty/null/void set 2. Finite 3. Infinite 4. Universal Set |
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Description of relation between 2 or more set |
Equal Equivalent Joint Disjoint |
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Smaller set of a given set |
Subset |
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Abscissa |
x-coordinate |
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Ordinate |
y- coordinate |
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All x-values |
Domain |
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All y-values |
Range |
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Mathematical entities that give unique outputs to particular input |
Function |
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Four operation performed on set |
Union Intersection Difference Complement |
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A set wherein two sets have the same elements |
Equal set |
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A set wherein the 2 sets have the same numbers of elements |
Equivalent set |
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Have atleast one common element |
Joint sets |
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Has no common element |
Disjoint Sets |
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Elements are found on both two sets |
Union |
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Elements are common in both two sets |
Intersection |
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Elements are found on set A but not on Set B |
Difference |
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Elements are found on universal set but not on Set A |
Complement |
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Elements are found on universal set but not on Set A |
Complement |
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Elements are found on universal set but not on Set A |
Complement |
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Pictorial representation of relationship and operations of sets |
Venn Diagram |
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A set of input and output, oftentimes called ordered pair |
Relation |
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method that is used to determine whether a given relation is a function or not. |
Vertical Line Test |
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Number system that has the base of 2 |
Binary |
