Binomial expansions (new A level maths)

This 26-page resource covers all the required knowledge and techniques for binomial expansions with positive integer powers, as required for the new AS level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).

The types of questions included in the examples and exercises are:

1.Expand (ax+b)^n or (a+bx)^n
2.Find first 3 terms, in ascending powers of x, of the expansion of (a+bx)^n
3.Find the coefficient of x^k in the expansion of (a+bx)^n
4.Given the coefficient of x^k in the expansion of (a+bx)^n, find the value of a (or b).
5.Evaluating or simplifying nCr without a calculator
6.Given that (1+ax)^n = … find the value of n
7.Expand (ax+b)^n, hence expand (cx+d)(ax+b)^n
8.Use the first 3 terms of an expansion of (a+bx)^n to estimate k^n

In all there are over 100 questions in the various exercises for your students to work through.

This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included.

Also included is a 16-question assessment that can be used as a homework or a test. Fully worked solutions are provided.

Here is an example of one of my A level resources that is freely available:

https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186