Proving Why the Midpoint Formula Works

Travel about town. Pupils work in pairs to find the distances between landmarks with a map. The teams determine how far to travel on the streets and the length between the landmarks with the distance formula and compare the two. Learners...

Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.

The midpoint formula - which Sal maintains is "silly to memorize" since you simply average - is the focus of this video. Viewers will appreciate the seamless transition between algebraic and geometric concepts in this lecture.

It's about to get 3-D! The video shows your class how to expand the midpoint formula to find the midpoint of a three-dimensional segment. The example shown calculates the midpoint using the x-, y-, and z-coordinates.

Demonstrate how to find the midpoint between two ordered pairs. A detailed video lesson connects finding the midpoint to finding the average of the coordinates of the ordered pairs. Using a graph helps to visually reinforce the concept.

It's the video your algebra class has been waiting for - Sal explains the quadratic formula! He describes it as "one of at least the top five most useful formulas in mathematics" and recommends that it be memorized, provided one also...

Let's meet in the middle. Given two points on the coordinate plane, pupils use the interactive to find the midpoint. The interactive provides a graphical display of the midpoint and the midpoint formula with the coordinates of the...

Twenty-two problems present a variety of practice working with the distance formula and the midpoint formula. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...

A written proof that shows how the midpoint formula works.

The midpoint of a line segment is the point located midway between the endpoints of the line segment. Take a look at this tutorial to learn about the midpoint. [1:59]