This 19-page resource covers all the required knowledge and techniques for using the Newton Raphson method to find roots of an equation, as required for the new A level. In each 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). Also included is multiple-choice assessment that can be used as a plenary or brief homework.
The sections/topics are:
1.Introduction to the method
(a) the iterative formula and a graphical interpretation of the process
(b) using the method to find successive approximations or an estimate of a root
© different ways in which the formula may be written
© illustrating the method on a diagram
2.Conditions where the Newton Raphson method fails
(a) what happens if an approximation occurs at a stationary point of f(x)
(b) situations where successive approximations converge to a different root
© situations where successive approximations do not converge to a root
(d) what happens if an approximation is outside the domain of f(x)
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. The exercises contains 35 questions for your students to complete. Answers to all exercises are included.
Here is an example of one of my A level resources that is freely available: