Robot Motion (Episode 105) | The Robot Doctor

Learning Resource Type

Classroom Resource

Subject Area

Mathematics
Science

Grade(s)

9, 10, 11, 12

Overview

Use math to determine how a robot moves, and its future positions - given the model of the robot and the equations of motion, 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.

Robots need to move, but how do they determine how far to turn the wheels to get where they want? In this lesson we explore the equations of motion for differential drive robots. We will walk through how to derive these equations as well as talk about some of the possible wheel configurations a robot could have.

Science (2015) Grade(s): 09-12 - Physics

SC15.PHYS.1

Investigate and analyze, based on evidence obtained through observation or experimental design, the motion of an object using both graphical and mathematical models (e.g., creating or interpreting graphs of position, velocity, and acceleration versus time graphs for one- and two-dimensional motion; solving problems using kinematic equations for the case of constant acceleration) that may include descriptors such as position, distance traveled, displacement, speed, velocity, and acceleration.

UP:SC15.PHYS.1

Vocabulary

  • model
  • graph
  • instant
  • interval
  • position
  • velocity
  • acceleration
  • displacement
  • distance
  • speed
  • average speed
  • average velocity
  • experimental design
  • kinematic equations
  • investigation
  • analyze
  • trajectory
  • projectile
  • range
  • slope
  • area under curve
  • intercepts
  • vector
  • scalar
  • coordinates
  • origin
  • magnitude
  • units of measure
  • significant figures
  • trigonometric functions

Knowledge

Students know:
  • How to use mathematical computations to solve for the motion of an object.
  • How to analyze both linear and nonlinear graphs of motion.
  • Laboratory safety procedures.
  • Appropriate units of measure.
  • Basic trigonometric functions of sine, cosine and tangent.
  • How to determine area under a curve on a graph.

Skills

Students are able to:
  • Manipulate kinematic equations of motion.
  • Interpret graphical data.
  • Create graphical representations of data.
  • Collect and organize experimental data.
  • Follow written and verbal instructions.
  • Make measurements of distance and time using standard units.
  • Manipulate laboratory equipment.
  • Work safely in collaborative lab groups.

Understanding

Students understand that:
  • The motion of an object can be predicted using mathematical models and graphical models.

Scientific and Engineering Practices

Planning and Carrying out Investigations

Crosscutting Concepts

Scale, Proportion, and Quantity
Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.37

Investigate and apply relationships among inscribed angles, radii, and chords, including but not limited to: the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

UP:MA19.GDA.37

Vocabulary

  • Central angles
  • Inscribed angles
  • Circumscribed angles
  • Chord
  • Circumscribed
  • Tangent
  • Perpendicular arc

Knowledge

Students know:
  • Definitions and characteristics of central, inscribed, and circumscribed angles in a circle.
  • Techniques to find measures of angles including using technology (dynamic geometry software).

Skills

Students are able to:
  • Explain and justify possible relationships among central, inscribed, and circumscribed angles sharing intersection points on the circle.
  • Accurately find measures of angles (including using technology (dynamic geometry software)) formed from inscribed angles, radii, chords, central angles, circumscribed angles, and tangents.

Understanding

Students understand that:
  • Relationships that exist among inscribed angles, radii, and chords may be used to find the measures of other angles when appropriate conditions are given.
  • Identifying and justifying relationships exist in geometric figures.
Mathematics (2019) Grade(s): 09-12 - Mathematical Modeling

MA19.MM.11

Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.

UP:MA19.MM.11

Vocabulary

  • Three Dimensional cartesian coordinate system
  • Two dimensional cartesian coordinate system
  • Points in Space
  • Vertex
  • Right Prism
  • Octant

Knowledge

Students know:
  • how to plot points in two dimensions.
  • how to find the distance between two dimensional points.
  • how to find the midpoint between two-dimensional point.

Skills

Students are able to:
  • Extend their knowledge of the two dimensional coordinate system to the three dimensional coordinate system.

Understanding

Students understand that:
  • points in space are a part of the three dimensional coordinate system.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
https://aptv.pbslearningmedia.org/resource/episode-105-robot-motion-video/the-r…

Accessibility

Video resources: includes closed captioning or subtitles

Comments or Notes

This resource contains Lesson 5: The Robot Doctor Activity Guide.

Approved Date

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