12th grade maths
posted by R_t .
how to present math in different angles which represents depth of subject,easiness,empowerment,basics,logic,analyze,view of subject from back,view from front.Give multiple e.g.s .(just 11th & 12th)

I read a book, written in 1949, by a retiring teacher that focused on how to be an effective teacher. The four points of the book:
Know your students.
Love your students.
Know your subject.
Love your subject.
The last two are really the answer to your question. It is not enough to take a few math courses in college, you have to live math.
You can get experience in many fields: Business, architecture, engineering, science. If you do not have this experience, use your summer holidays to gain it. Professionals will happily let you tag along on projects, to learn the math applications to relate to your students. Summer workshops are another source of learning, having taught many of these, it is surprising what one can learn, and how to demonstrate/teach it. 
could you tell me how and what the professionals will teach, A list of ten topics, an idea about 1 or 2 topics and a list of some angles as such....

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Alicia needs $2000 three years from now. How much should she deposit at the end of each year for the next 3 years in an account that pays 5% compounded annually?

Suppose you select 2 letters from the word {Algebra} what is the probability of sellecting a) 2 consonants b) 2 vawel c) atleast one vawel d) atmost one condonant

Suppose you select 2 letters from the word {Algebra} what is the probability of sellecting a) 2 consonants b) 2 vawel c) atleast one vawel d) atmost one condonant

Suppose you select 2 letters from the word {Algebra} what is the probability of sellecting a) 2 consonants b) 2 vawel c) atleast one vawel d) atmost one condonant