Binomial+Theorem+&+Probability

**__ Lesson 1 - Discovering Patterns __** Watch this computer simulation and ask yourself "Would this really be the pattern that was formed?" media type="youtube" key="yzJqYl9EHgA?rel=0" height="360" width="480" align="center"
 * __Binomial Theorem & Probability __** Binomial expressions have two terms inside the parentheses. The binomial theorem is used to expand more complex expressions that are raised to a higher degree than quadratics or cubics. They have many important applications and one of these is probability.

Now watch this clip to see what would actually happen. media type="youtube" key="nOenO-JLD5w?rel=0" height="360" width="480" align="center"

Now work through Exercise 29.1 which is all about discovering patterns. **__Lesson 2 - Pascal's Triangle__** Here is a video about Pascal's Triangle to view as a class. media type="youtube" key="Zo2JrPjijHc?rel=0" height="360" width="640" align="center"

Open this file and save it to your laptop for the lesson notes on Exercise 29.2

Here is another video about Pascal's Triangle to view as a class before attempting the exercise questions. media type="youtube" key="YUqHdxxdbyM?rel=0" height="360" width="480" align="center"

**__Lesson 3 - Generalising Binomial Expansions __** Watch this video as a class on the history of Pascal's Triangle. media type="youtube" key="NR3OSGZaT1c?rel=0" height="360" width="640" align="center"

Open this file and save it to your computer for the notes on today's lesson.

Here is a video which shows another way of writing binomial coefficients. media type="youtube" key="lGow-vogneQ?rel=0" height="360" width="480" align="center"

__**Lesson 4 - Generalising Binomial Expansions II **__ Here is an video on binomial expansions and Pascal's Triangle. media type="youtube" key="CmH3ogYAy4k?rel=0" height="360" width="480" align="center"

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 29.4

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">This video mentions another way of writing binomial expansions. media type="youtube" key="OMr9ZF1jgNc?rel=0" height="360" width="480" align="center"

__**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 5 - General Binomial Theorem **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this tutorial on Binomial Expansions from MathsOnline. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Binomial Expansions <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 29.5

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">This video demonstrates how to find a particular term or coefficient without having to perform a binomial expansion. media type="youtube" key="ktDy4ExrctQ?rel=0" height="360" width="480" align="center"

__**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 6 - Using Typical Terms **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this tutorial from MathsOnline about finding particular terms. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Finding Particular Terms <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 29.6

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this tutorial from MathsOnline to look at the relationship between binomial coefficients. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Relationship Between Binomial Coefficients __**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 7 - Relations Between Coefficients **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this clip from MathsOnline about simplifying expressions. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Simplifying Expressions <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 29.7

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is another MathsOnline demonstration. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Finding The Greatest Term __**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 8 - Binomial Coefficients **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this MathsOnline clip for some information about how to use binomial expansions in probability questions. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Binomial Probability <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 30.9 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is some more information on the Binomial Probability Function. media type="youtube" key="xNLQuuvE9ug?rel=0" height="360" width="480" align="center"

__**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 9 - Binomial Probability Distribution **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is a song about Pascal's Triangle. media type="youtube" key="PYP-thRbttA?rel=0" height="360" width="640" align="center"

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 30.10 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;"> <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">This website has a lot of information about the binomial theorem and binomial probability. Just enter the save code X069Y on the right. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Binomial Theorem & Binomial Probability