Well to start things off we had quiz. The quiz was of course on logic, inductive, deductive, valid and invalid questions. A inductive statement is where you have examples and make a generalization and deductive statement is where you have a generalization and produce an example. The part I thought some of us had problems with was determining whether a statement was valid and invalid. Anyways tomorrow might be the logic test so remember to have your BOB's up just in case. Besides the quiz we had a lot of writing to do in our math dictionaries some new and old things.

MATH DICTIONARY

Some definitions

Set: A collection of objects (could be people, things, numbers etc.)

Subset: A collection of objects that consists of some, all or none of the objects in a given set

Example: Consider set A :(1,2,3)

All of the following are subsets of A : (1), (2), (3), (1,2), (1,3), (2,3), (1,2,3),

Note:is called the "empty set" or "null set" but is still a subset of every set

Universe (U) : all objects are being considered

Notation: Union U A U B means gather all objects in set A with all objects in set B

Notation:Intersection

means gather all the objects that are both in set A and B

- or ' compliment: (reads as " the compliment of A" or "A compliment") means everything outside A

exclusion: means everything that is in set A but not set B

Counterexample: Given any logical argument, theorem or hypothesis, if you can find only one case where it is not true, then the theorem or argument is proven false . This is called a "counterexamlple"

Conditional statements: Any statement of the form" If...then..." is called a "conditional" or "implication"

Hypothesis: The first part of the conditional

Conclusion: The second part of a conditional

Example: If(hypothesis) Then(conclusion)

If a triangle is isosceles Then it's base angles are congruent

Well that's all for this scribe and I'll scribe on Friday since I couldn't get my post up in time.

Homework is Ex. 48

Flickr assignment due this Friday

Go for Gold due Wednesday before exam

and our 2nd consumer packet

Set: A collection of objects (could be people, things, numbers etc.)

Subset: A collection of objects that consists of some, all or none of the objects in a given set

Example: Consider set A :(1,2,3)

All of the following are subsets of A : (1), (2), (3), (1,2), (1,3), (2,3), (1,2,3),

Note:is called the "empty set" or "null set" but is still a subset of every set

Universe (U) : all objects are being considered

Notation: Union U A U B means gather all objects in set A with all objects in set B

Notation:Intersection

means gather all the objects that are both in set A and B

- or ' compliment: (reads as " the compliment of A" or "A compliment") means everything outside A

exclusion: means everything that is in set A but not set B

Counterexample: Given any logical argument, theorem or hypothesis, if you can find only one case where it is not true, then the theorem or argument is proven false . This is called a "counterexamlple"

Conditional statements: Any statement of the form" If...then..." is called a "conditional" or "implication"

Hypothesis: The first part of the conditional

Conclusion: The second part of a conditional

Example: If(hypothesis) Then(conclusion)

If a triangle is isosceles Then it's base angles are congruent

Arguments of the form"if..then..." and related statements

A sentence that says only one thing is called a "declarative sentence"

Well that's all for this scribe and I'll scribe on Friday since I couldn't get my post up in time.

Homework is Ex. 48

Flickr assignment due this Friday

Go for Gold due Wednesday before exam

and our 2nd consumer packet

Hi Lauressa,

ReplyDeleteI found this scribe very helpful as I strive for a deeper understanding of math!

Thank you!

Lani