Intermediate Value Theorem to Prove a Root in an Interval

"Step functions" are sometimes used to describe real-life situations. This extensive lesson with many practice examples demonstrates two such functions: the Greatest Integer Function and the Least Integer Function. The commands on the...

Sal spends most of this video explaining the Mean Value Theorem in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of...

Develop an expert (not intermediate) understanding of the Intermediate Value Theorem with a video that teaches young mathematicians about the Intermediate Value Theorem. It introduces the idea of proving that a root exists in an...

The isosceles triangle comes with its own set of properties. A lecturer shows how to apply the Isosceles Triangle Theorem to find missing side lengths or angle measures. The final example involves both square roots and quadratic...

Sal continues showing examples of finding the inverse of the function. Here, he shows a subtle but essential technique of taking the negative square root of each side of the equation when solving for the inverse because of the...

Exponents are number 34897 to the power of 0! The short video explains what a power function is. It also demonstrates how to identify the n portion in a standard, fraction, and square root example.

High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...

Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...

Your class knows the Pythagorean Theorem, but can they prove it? A series of three videos shows two proofs of the Pythagorean Theorem and use it to classify triangles.