Exponentials and Logarithms
Section overview:
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.
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.
Notes:
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)
Summary questions:
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!)
Extra resources:
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 fun!