1. construct the Pascalâ€™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 .

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:

What observations can you make ?

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

2012 Sec 4 Integrated MathematicsTerm 1 : Unit 3Unit 3 : Binomial TheoremObjectives:## 1. construct the Pascalâ€™s triangle (

via tossing coins) and use it to expand (a+b)^n, especially for smaller values ofn.## 2. use the Binomial Theorem to expand (

a+b)^nfor positive integern.## 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! andnCr.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:

## 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.