# Distance Between Two Points in a Coordinate Plane

Short Description of Lesson: This is a lesson that introduces or reinforces how to find the distance between 2 points on a coordinate plane by using the absolute value between 2 points or using the distance formula.

Lesson Objectives: Students will learn how to find the distance between two points on a coordinate plane and apply their leaning to find the distance between 2 perpendicular lines on a coordinate plane (Glencoe-Geometry 3.6 Perpendiculars and Distance), transformations in the coordinate plane (Glencoe-Geometry 4.3 Congruent Triangles), SSS on the coordinate plane (Glencoe-Geometry 4.4 Proving Congruence –SSS, SAS) and The Distance Formula (Glencoe-Algebra 1 11.5 The Distance Formula).

Materials / Equipments: Computers, LCD projectors for demonstration, virtual manipulative from http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=64 , http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=183 .

Distance Formula Activities I: Students will measure the distance between 2 points using the ruler with a vertical Line. Have student change only the values for y1 and y2 and then they should be able to tell that the distance between any vertical lines is the difference between the absolute value of y1 and y2 or vice versus.

Distance Formula Activities II: Students will measure the distance between 2 points using the ruler with a horizontal line. Have student change only the values of x1 and x2 and then they should be able to tell that the distance between any horizontal lines is the difference between the absolute value of x1 and x2 or vice versus.

Distance Formula Activities III: Students will find the distance between 2 points using the distance formula and the Pythagorean Theorem will also be reviewed. Students should be able to find the distance between 2 points on a coordinate plane after these activities....

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