Lesson: Distance on the Coordinate Plane: Pythagorean Formula Mathematics • 8th Grade

In this lesson, we will learn how to find the distance between two points on the coordinate plane using the Pythagorean theorem.

Lesson Plan

Students will be able to

find the distance between two points in the coordinate plane using the Pythagorean theorem,
find a missing coordinate given the distance between two points,
solve word problems by finding the distance between two points on the coordinate plane.

Q1:

Consider the two points and .

Using the Pythagorean theorem, find an expression for the length of .

Using the distance formula, find the distance between the points and Give your answer as a surd in its simplest form.

Q2:

Find the distance between the point and the point of origin.

Q3:

Find the distance between and , giving your answer in radical form if necessary.