Theorems & Proofs
The first theorem you've learned in a regents class.
What is the Fundamental Theorem of Algebra?
From flower petals to seashells, this mathematician's name is used to denote a circular pattern commonly appears in nature.
Who is Fibonacci?
The value of the limit as n approaches infinity of sin(n)/n
What is 1?
This type of function passes the horizontal line test.
What is a one-to-one?
This is the only number from 0-1000 with an 'a'
What is one thousand?
This is the only formal proof technique Mr. Blum teaches in Pre-Calc/Calc I.
What is a proof by induction?
Known as a "Math Dynasty," three members of this well known family were all mathematicians?
Who were the Bernoullis?
The three-dimensional equivalent of a polar coordinate.
What is a spherical coordinate?
The third most commonly used variable.
What is z?
Opposite sides of a standard die always add up to this number.
What is 7?
...not 6.
This theorem involves "fitting" a function between two or more functions in order to define its limit.
What is the Squeeze Theorem?
This mathematician first defined zero as we know it.
Who is Brahmagupta?
This convergence test, although true, is not tested on the AP Calc BC exam.
What is the Root Test?
The reason why the = symbol looks the way it does.
What is "no two things could be more equal than two parallel lines of the same length," according to Welsh mathematician Robert Recorde?
This is the only number with letters in alphabetical order.
What is forty?
This theorem includes imaginary numbers, trigonometry, and powers/roots of polynomials.
What is Demoivre's Theorem?
This common number once denoted 120 in Old Norse, before the word was adapted to English.
What is one hundred?
Often called "voodoo," this integration technique is a game changer.
What is integration by parts?
An algebraic rule for determining the number of positive or negative roots of an equation.
What is Descartes' rule of signs?
Squaring this 9-digit number composed of the same number in each digit (ie. 000000000) produces 12,345,678,987,654,321, which is a palindrome.
What is 111,111,111?
This technique for solving proofs is used to prove a number is irrational.
What is a proof by contradiction?
This ancient civilization popularized a number system based on 60s to denote time and angles.
Who were the Babylonians?
The limit definition of integral.
(draw the answer)
The arabic definition of the original word for Algebra.
What is "reunion of broken parts"?
For her gym credit, Ms. Daniel learned to do the following.
What is ice skate?