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# Freshman Year Math Concept Map

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## Meera Santhanam

on 8 July 2014

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#### Transcript of Freshman Year Math Concept Map

Freshman Year Math Concept Map
Area of plane figures
Counting, sets, & Probability
Euclidean geometry
linear systems
Circles
Area of disc sectors
scale factors
basics
n-Gon Video
circumference & diameter
chord, secant, arc, sector
the definition of a circle
circle equations
tangent segments
circle proofs with tangents
basic probability with dice
How many different rolls where order
does
matter?
How many ways can the sum be 5 or less?
Probability you roll a sum of 6 or more?
3 dice roll permutations
3 dice 5 or less sum
3 dice p(sum =6+)
6*6*6 = 6^3
probability trees
unions and intersections
set complements
harder trees
combinations and permutations
Combinations:
n!/(n-r)! * (r!)
(rid duplicates)
Permutations:
n!/(n-r)!
(don't rid duplicates)
simple problems
Expected value
independent and conditional/dependent events
Independent Events are not influenced by another event happening; their likelihood never changed based on previous events. Picking multiple cards from a deck are NOT independent events; they are dependent because as you pick, the number of total cards in the deck changes. However, picking cards with replacement are independent events because the total number of cards in the deck doesn't change. Dependent Events only happen
given another circumstance. For example, a problem that asks you to find P(A|B) is dependent because you are finding the probability A happens given that B happened.

mutually exclusive events
sets within sets
at least problems
baye's theorem
P(A|B)=P(B|A)*P(A)/P(B)
congruency types
diagonals of square congruent & bisect each other
shortest distance to...
constructions: bisectors
different forms
inequalities
midpoints of segments
parallel & perpendicular
reflections
Reflecting across the axes
simple ones
graphing
absolute value inequalities
number line solutions
graphing
generalizations
piecewise functions
inverses
systems of equations