Proof (new A level maths)

This 17-page worksheet can be used to deliver the topic of proof in the new AS level specification for all exam boards. A great resource to help deliver this new topic - fully worked solutions included and a version with teaching notes added for some key points.

It begins by reviewing all the required basic knowledge. It discusses particular errors in solutions/proofs, covers the use of ⇒, ⇐ and ⇔, and writing solutions to inequalities in interval and set notation. For each of these 3 topics there are notes, then examples to work through with your class, then an exercise for students to complete.

For each of the 3 methods of proof (counter example, deduction, and exhaustion) there are a number of examples for you to work through as a class, followed by an exercise for students to attempt themselves.

There are also some suggested extension activities for students interested in doing some research or additional work that goes beyond the scope of the syllabus.

The fully-worked solutions to the exercises are included in the students’ version, and fully-worked solutions to all the examples are also included in the teachers’ versions.

I needed about 3 hours’ of teaching time to get through this whole worksheet with my classes.

A homework/test is also included, with fully-worked solutions 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