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Freshman Year Math Concept Map
Transcript of Freshman Year Math Concept Map
Area of plane figures
Counting, sets, & Probability
Area of disc sectors
circumference & diameter
chord, secant, arc, sector
the definition of a circle
circle proofs with tangents
basic probability with dice
How many different rolls where order
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
unions and intersections
combinations and permutations
n!/(n-r)! * (r!)
(don't rid duplicates)
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
diagonals of square congruent & bisect each other
shortest distance to...
midpoints of segments
parallel & perpendicular
Reflecting across the axes
absolute value inequalities
number line solutions
systems of equations
advanced coordinate geometry
similar and right triangles