The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.Â
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
Note: This topic is split into two separate teaching periods - one at the start of Y12, one a little later on in Y12. The distinction in the content is made alongside each of the resources below, although the PowerPoint is not split up in the same way.
Section 1 Notes - Exponential graphs/equations and laws of logarithms (Teaching period 1)
Section 2 Notes - e, ln, applications and derivatives (Teaching period 2)
Section 3 Notes - Linearising exponential functions (Teaching period 2)
Topic assessment (with solutions) (Includes content from teaching periods 1 and 2)
Exam questions - Solutions (Teaching period 1 content only. For Q10, geometric sequences will be covered in the Y13 content!)
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
Playlist 1 - Exponentials and logs (Teaching period 1)
Playlist 2 - e and ln (Teaching period 2)
Playlist 3 - Exponential models and rates of change exam questions (Teaching period 2) [Read through Section 2 Notes above before watching these ones!]
Playlist 4 - Linearising curves (Teaching period 2)
Extra linearisation video (both types + EQ-style)
Extra fun!