# 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 Title: Deriving the Distance Formula Overview/Annotation: 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:

NCTM

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

2009 ACOS

Algebra

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

Geometry

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