Students

Please select a resource from the list below.

Teach Yourself

• Pascal's triangle and the binomial theorem
  This unit explains how Pascal's triangle is constructed and then used to expand binomial expressions. It then introduces the binomial theorem.

Test Yourself

• Diagnostic Test - Pascal's Triangle and the binomial expansion
• Exercise - Pascal's Triangle and the binomial expansion

Video

A transcript of each video should be available in the Teach Yourself section above.

(This site uses Windows Media technologies from Microsoft to deliver video streams. Streaming facilities are kindly provided by University of Portsmouth Creative Technologies, http://stream.port.ac.uk)

These videos require Windows Media Player (v10).

Please note: You may experience trouble with more recent upgrades to Internet Explorer (now v.7) and Media Player (now v.11). These no longer support streaming from the mms servers used by mathcentre, so we are recommending that you uninstall IE7 (IE6 lies underneath) and replace the new version of WMP with the fully functioning v.10 (you may need to find a download via google after uninstalling v.11). All those that have done this have reported back that everything is working again.

• Pascal's triangle and the binomial expansion
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly. (mathtutor video)

iPOD Video

• Pascal's Triangle & the Binomial Theorem 1
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 2
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 3
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 4
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 5
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 6
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 7
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 8
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.
• Pascal's Triangle & the Binomial Theorem 9
  A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly.