ALEX Lesson Plan


Deriving the Distance Formula

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  This lesson provided by:  
Author:Jenny Hornby
System: Huntsville City
School: New Century Technology High School
  General Lesson Information  
Lesson Plan ID: 26334


Deriving the Distance Formula


 Students will use the pythagorean theorm to derive the distance fromula.

This lesson was created as a result of the Alabama Math, Science, and Technology Initiative’s (AMSTI) goal to build a supply of lessons that meet AMSTI’s criteria including the Five E’s Instructional Model, Cooperative Learning and Best Practice in Math Instruction.



 Associated Standards and Objectives 
Content Standard(s):

Local/National Standards:


Use Cartesian coordinates and other coordinate systems, such as navigational, polar, or spherical systems, to analyze geometric situations.

2009 ACOS


10.           Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane.

·         Deriving distance, midpoint, and slope formulas for line segments

·         Utilizing the Pythagorean Theorem to solve application-based problems


    7.           Apply the Pythagorean Theorem and its converse to solve application problems, including expressing answers in simplified radical form or as decimal approximations and using Pythagorean triples where applicable.

Primary Learning Objective(s):

Students will derive the distance formula using the pythagorean theorem. Students will determine the distance between two points using the pythagorean theorem and/or the distance formulaa

Additional Learning Objective(s):

 Preparation Information 

Total Duration:

Time Not Specified

Materials and Resources:


Technology Resources Needed:





Assessment Strategies






View the Special Education resources for instructional guidance in providing modifications and adaptations for students with significant cognitive disabilities who qualify for the Alabama Alternate Assessment.