Calculus Optimization Project | EDITABLE
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Description
Looking for a project for differential calculus? Look no further! In this FULLY EDITABLE, low-prep project, students calculate the surface area of cans from the grocery store, then apply calculus to optimize their volume. Students summarize their findings in a Google Slides presentation.
Includes a rubric and a spreadsheet with formulas to make grading a breeze!
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In this project, students will:
- work in groups
- measure cans brought from home
- calculate the surface area
- use calculus to optimize the volume of the can
- graph the radius vs. volume function in Desmos
- write a reflection
What materials are needed?
- rulers
- soft tape measures (a.k.a. sewing tape measures)
- cans (soda cans, soup cans, tuna fish cans, crushed tomato cans, evaporated milk cans, paint cants, etc.)
How long do students need for this project?
- Plan on three 60-minute class periods for students to complete project.
- A very diligent group could finish in two 60-minute class periods.
Need it to take more time?
- Students could present their findings to their classmates
- Students could contact the manufacturers with their results.
- Challenge students to find a formula for optimized volume based on surface area.
What is included in the download:
- 2-page student instructions
- a rubric
- a peer and self-evaluation form for students to evaluate each group members contribution to the final product
- a spreadsheet with formulas to make grading for accuracy as easy and seamless as possible
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LICENSING TERMS: All rights reserved. Purchase of this unit entitles the purchaser the right to reproduce the pages in limited quantities for single classroom use only. Duplication for a colleague, an entire school, an entire school system, or for commercial purposes (including websites such as Outschool) is strictly forbidden without written permission from the publisher. Licenses are non-transferrable; this means they cannot be passed from one teacher to another. You may purchase additional licenses at a discount here on Teachers Pay Teachers.
COPYRIGHT TERMS: Copying any part of this product and placing it on the Internet in any form (even a personal/classroom website – unless it is password protected and can only be accessed by students) is strictly forbidden and is a violation of the Digital Millennium Copyright Act (DMCA). These items can be picked up in a google search and then shared worldwide for free.
Questions or concerns? email me at rebecca@hoffmath.com
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