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ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] GEO-19 (9-12) 6 :
6. Derive the equation of a circle of given center and radius using the Pythagorean Theorem.

a. Given the endpoints of the diameter of a circle, use the midpoint formula to find its center and then use the Pythagorean Theorem to find its equation.

b. Derive the distance formula from the Pythagorean Theorem.
Subject: Mathematics (9 - 12)
Title: Robot Localization (Episode 104) | The Robot Doctor
URL: https://aptv.pbslearningmedia.org/resource/episode-104-robot-localization-video/the-robot-doctor/
Description:

Explore how a robot keeps track of its position as it moves, and how to update that position with math using ranges to known landmarks, in this 14-minute episode. The goal of this video series is to teach the basics of Robotics: the what, why, and how—with examples—and to provide take-home problems to solve.

How do robots determine their location? In this lesson we will explore a three-step process to find the position by 1) finding at least 3 nearby landmarks with known positions 2) determine the robot's range to each landmark using onboard sensors and 3) calculate the intersection point of the 3 range circles to find the robot's position.



   View Standards     Standard(s): [MA2019] GEO-19 (9-12) 6 :
6. Derive the equation of a circle of given center and radius using the Pythagorean Theorem.

a. Given the endpoints of the diameter of a circle, use the midpoint formula to find its center and then use the Pythagorean Theorem to find its equation.

b. Derive the distance formula from the Pythagorean Theorem.
[MA2019] GEO-19 (9-12) 32 :
32. Use coordinates to prove simple geometric theorems algebraically.
Subject: Mathematics (9 - 12)
Title: Geometry Module 5, Topic D: Equations for Circles and Their Tangents
URL: https://www.engageny.org/resource/geometry-module-5-topic-d-overview
Description:

Module 5, Topic D brings in coordinate geometry to establish the equation of a circle. Students solve problems to find the equations of specific tangent lines or the coordinates of specific points of contact. They also express circles via analytic equations.



ALEX Classroom Resources: 2

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