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.