Exponential functions and Logarithms - A level AS Mathematics

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download

Exponential functions and logarithms covers;

• Know and use the function a^x and its graph, where a is positive
• Know and use the function e^x and its graph
• Know that the gradient of e^kx is equal to ke^kx and hence understand why the exponential model is suitable in many applications
• Know and use the definition of logax as the inverse of a^x where a is positive and x≥0
• Know and use the function ln x and its graph
• Know and use ln x as the inverse function of e^x
• Understand and use the laws of logarithms
• Solve equations of the form a^x=b
• Use logarithmic graphs to estimate parameters in relationships of the form y=ax^n and y=kb^x , given data for x and y
• Understand and use exponential growth and decay
• Use in modelling (examples may include the use of e in continuous compound interest, radioactive decay, drug concentration decay, exponential growth as a model for population growth)
• Consideration of limitations and refinements of exponential models