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Toilet Roll Lesson PlanToilet Roll Lesson Plan
Publisher
Illustrative Mathematics
Resource Details
Curator Rating
Educator Rating
Not yet Rated
Grade
9th - 11th
Subjects
Math
1 more...
Resource Types
Activities & Projects
1 more...
Audience
For Teacher Use
Duration
30 mins
Instructional Strategies
Collaborative Learning
1 more...
Technology
Calculator
Usage Permissions
Creative Commons
BY-NC-SA: 4.0
cc
Lesson Plan

Toilet Roll

Curated and Reviewed by Lesson Planet
This Toilet Roll lesson plan also includes:
  • Activity
  • Answer Key
  • Teacher Reference
  • Join to access all included materials

Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common roll of toilet paper. This short, but high-level, exercise makes a great warm-up application, or an open-ended practice problem.

48 Views 32 Downloads
CCSS: Designed

Concepts

math modeling, algebraic expressions, cylinders

Additional Tags

math

Instructional Ideas

  • Extend the modeling to other three-dimensional shapes or ways of arranging the toilet paper (folding instead of rolling, for instance)
  • Test the formula developed against the measurements of an actual roll of toilet paper
  • Link with a science lesson on waste management, or a history lesson on different civilizations' solutions to waste removal throughout history

Classroom Considerations

  • Last page of lesson is blank
  • Weaknesses in calculating volume and surface area of cylinders will quickly appear in the modeling process, having remediation handy would speed up this process

Pros

  • Abstract reasoning made approachable by easy language and common materials
  • Strong links developed between geometry and algebraic modeling methods

Cons

  • Student activity not separated from teaching notes and answer key
  • Only one solution method provided, though reference is made in teaching notes to several possible attacks

Common Core

HSG-MG.A.1

See similar resources:

Assessment

Fermi Length

Balanced Assessment
How long does it take to get to the end of a toilet paper roll? Pupils use their estimation strategies to find lengths of common items. For example, knowing the area of a roll of toilet paper, scholars determine the length of the full roll.
9th - 12th Math
CCSS: Adaptable
Lesson Plan

Modeling Motion: Rolling Cups

Mathematics Assessment Project
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
1 min 9th - 12th Math
CCSS: Designed
Lesson Plan

Modeling with Quadratic Functions (part 1)

EngageNY
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
9th - 10th Math
CCSS: Designed
Lesson Plan

Modeling with Quadratic Functions (part 2)

EngageNY
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
9th - 10th Math
CCSS: Designed
Lesson Plan

Logarithmic Modeling

Virginia Department of Education
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
10th - 12th Math
Activity

Changing It Up

Curated OER
How should a cashier stock a cash register with coins? Learners use mathematical modeling and expected value to determine how many rolls of coins of each type they should place in a cash register.
9th - 12th Math
CCSS: Designed
Unit Plan

Module 8: Modeling With Functions

Mathematics Vision Project
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
10th - 12th Math
CCSS: Designed
Activity

Toilet Paper Roll

101 Questions
You won't want to flush a great lesson down the drain! An intriguing resource asks learners to predict the number of sheets of toilet paper on a roll. Presented with the dimensions of the roll and one sheet of paper, scholars make...
9th - 12th Math
CCSS: Designed
Lesson Plan

Illustrative Mathematics: G Mg Toilet Roll

Illustrative Mathematics
Picture a roll of toilet paper; assume that the paper in the roll is very tightly rolled. Assuming that the paper in the roll is very thin, find a relationship between the thickness of the paper, the inner and outer radii of the roll,...
9th - 10th Math
CCSS: Designed
Activity

Potty Math

101 Questions
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.
9th - 12th Math
CCSS: Designed
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