MMW EXAM

Symmetry

Different sides are alike

Fractals

Indefinitely, self similar, only approximate

Spiral

curve that spread out from a point

Tesselation

Repeating tiles over a flat surface

Bubble/Foam

Forms sphere

Stripes

Patterned animals will survive to reproduce

Cracks

linear openings, form in materials to relieve stress

Mathematical Language

precise, powerful, and concise

Expression

does not state complete thought

Sentence

Analogue of an english sentence

Equation

has an equal sign

All are , but not all relations are .

function & relation, relation & function

Relation

Set of ordered pairs.

One to One

each value of x is associated with y

Many to One

2 or more values of x are associated with y

One to Many

some values of x are associated with 2 or more y

Many to Many

some value of x are associated with one or more countervalue

Domain

x

Range

y

Input

x

Output

y

Function

Each input has only one output

Logic

science of correct thinking

Reasoning

drawing conclusion

Inductive Reasoning

based on repeated observation, specific to general

Deductive Reasoning

facts, rules, law, general to specific

Proposition/ Statement

P and Q

Negation

opposite, not, ~

Conjuction

if both are true then true, otherwise false, ^, and

Disjuction

if both are false then false, otherwise true, v, or

Implication/Conditional

Tf=False, if then, →

Biconditional

if both are the same tt nd ff it’s true, otherwise false, ←>, if and only if

Tautology

All result are True

Contradiction

All result are False

Contigency

Mixed Result

1st step in Polya

Understand the Problem

2nd step in Polya

Devise a plan

3rd step in Polya

Carry out the plan

4th step in Polya

Check the solution

Perimeter of Rectangle

P= 2(L+W)

Area of Rectangle

A= LxW