Theorems+and+Justifications

===These videos discuss the form of theorems and related conditional statements (converse, inverse and contrapositive), bi-conditional statements and definitions. There are hints on how to learn what theorems and definitions mean by "playing with them." Also, how to unpack the wording of a theorem or definition to understand its meaning and when it does or does not apply.===

Theorems 1: The form of a theorem, how to learn theorems, "for any-every-all", "there exists", and playing with theorems. Video media type="custom" key="9712370"(19:07) and handout

Theorems 2: Related conditional statements - converse, inverse and contrapositive. Biconditional statements, Definitions. Video media type="custom" key="9712378"(22:34) and handout

A series of 4 videos on what to say when you are asked to "Justify Your Answer" or "Explain your reasoning" and the like.
The handout for all 4 videos Video 1: Justifying Extreme Values media type="custom" key="9792574"(23:45)

Video 2: Justifying increasing/decreasing. point of inflection, and whether an approximation is too large or too small. media type="custom" key="9792586"(37:12)

Video 3: Explaining the meaning of a definite integral. Justifying whether //speed// is increasing or decreasing media type="custom" key="9794536"(24:12)

Video 4: The Mean Value Theorem and the Intermediate Value Theorem media type="custom" key="9794904"(27:09)