# Conversions and Engineering at a Paper Mill

__Conversions and Engineering at a Paper Mill__

Title: Conversions and Engineering at a Paper Mill | Author: Andrew Kaufman |

Subject(s): Mathematics/Engineering | |

Grade Level(s): 9th-12th | Total Time: 1 class period (45 min) |

__Overview / Description:__ This lesson goes over some basic elements of engineering and the paper making process. We will be using the circumference of a circle and conversions to program motors to make sure the dryer cans are going at the correct RPM's to ensure the paper machine functions correctly. This is a lesson that can be self taught or can be teacher led.

__Learning goals/objectives:__

After completing this activity, students should be able to . . .

1) Find the circumference of a circle when given a radius or diameter

2) Convert production rate (linear rate) to RPM's

3) Use conversions to find RPM's from the shaft of the dryer can and the shaft of the motor

__Workplace Readiness Skill:__

B-LS 1. Demonstrate critical-thinking skills to make informed decisions

B-LS 8. Actively engage in challenging
coursework

B-SS 6. Use effective collaboration and
cooperation skills

Social Skills | Communication |
||

× | Teamwork | × | Critical Thinking |

× | Attitude and Initiative | × | Planning and Organization |

Professionalism | Media Etiquette |

__Content Standards__:

# HS.N-Q.A.1

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

__Materials: __The lesson and practice problems are attached below

__Learning Activities: __This can be done as teacher lead activity, as a small group activity, or an independent activity (for stronger students).

WHO (T=Teacher Focus Lesson; WG=Whole Group\; SM=Small Group; I=Independent)

Learning Activity Task | WHO is responsible for this step? | Approximate time for task |

Introduction: Read the introduction and watch the videos linked into the introduction (This could be teacher lead, completed in small groups, or done individually) | T/SM/I | 10 minutes |

Lesson on Circumference and Converting from Production Rate to RPM's of the drums | T/SM/I | 10 minutes |

Practice on finding Circumference and Converting from Production Rate to RPM's of the dryer cans | T/SM/I | 10 minutes |

Lesson on converting and using gear ratios to change RPM | T/SM/I | 10 minutes |

Practice on converting and using gear ratios to change RPM | T/SM/I | 10 minutes |

__Assessment__:The activity assessment/homework is attached below (pg. 3 and pg. 5)

__Wrap-Up: __Correcting the assignment and answering any questions

__Extension Activity __(for intervention or enrichment): You could find the RPM's of a car's tire when it goes different speeds, and find how the RPM's change when the size of the tire changes.

__ATTACHMENTS:__ Below are the notes (pg. 1,2,4) and formative assessment (pg. 3,5) of their knowledge.