2012 Sec 4 Integrated Mathematics

Term 1 : Unit 3

Unit 3 : Binomial Theorem

Objectives:

1. construct the Pascal’s triangle (via tossing coins) and use it to expand (a + b)^n, especially for smaller values of n.

2. use the Binomial Theorem to expand (a + b)^n for positive integer n.

3. use of the general term Tr + 1 to find a particular term in the expansion of (a + b)^n.

4. know the notation n! and nCr .


Binomial_Theorem_Comics.jpg

Starter :

a) When binomial expressions are expanded, is there any type of pattern developing which might help us expand more quickly? Consider the following expansions:

Binomial_theorem_1.jpg

What observations can you make ?

Check in your findings here! You must identify yourself at the end of the reply.


b) Reading on Pascal Triangle : Using Ms Excel

Watch this video. http://www.youtube.com/watch?v=LUsczE6HkuM

You should try creating a pascal triangle on your own. Have you succeed?


Main Course:

a) Reading:

Binomial Theorem 1: http://www.purplemath.com/modules/binomial.htm


Binomial Theorem 2:http://www.purplemath.com/modules/binomial2.htm

b) If you still have not master these concepts, look through the slides bleow.

c) To further strengthen your knowledge in this unit, go through these examples in the notes.

d) Complete this online quiz to measure your level of attainment.

Binomial Coefficients : http://www.cliffsnotes.com/study_guide/Quiz-Binomial-Coefficients-and-the-Binomial-Theorem.topicArticleId-257309,articleId-257289.html

e) Complete this assignment on Binomial Theorem.

Dessert :

a) Create a comic strip that illustrate your the learning journey of Binomial Theorem.

OR

b) Create a concept map using Camp to illustrate your learning journey in Binomial Theorem.