Videos and lessons with examples and solutions to help High School students
explain why the *x*-coordinates of the points where the graphs of the
equations *y* =*f*(*x*)
and *y* = *g*(*x*) intersect
are the solutions of the equation *f*(*x*)
= *g*(*x*); find the solutions approximately,
e.g., using technology to graph the functions, make tables of
values, or find successive approximations. Include cases
where *f*(*x*) and/or *g*(*x*) are linear,
polynomial, rational, absolute value, exponential, and logarithmic functions.

- Using technology to graph the equations and determine their point of intersection
- Using tables of values
**Using successive approximations that become closer and closer to the actual value.**

Common Core: HSA-REI.D.11

Newton's Method

This video explains Newton's Method and provides an example. It also shows how to use the table feature of the graphing calculator to perform the calculations needed for Newton's Method.

Newton's Method

How to use Newton's Method to approximate a root.

Newton's Method - More Examples Part 1 of 3

How to use the Newton's Method formula to find two iterations of an approximation to a root.

Newton's Method - More Examples Part 2 of 3

How to use the Newton's Method formula to find two iterations of an approximation to a point of intersection of two functions.

Newton's Method - How it Can FAIL - More Examples Part 3 of 3

This video gives the geometric idea behind Newton's Method and show how it can go wrong and fail to yield an approximation. Newton's method does not always work.

Newton's Method Calculator

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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