Multi-Variable Relations: Stressed to the Breaking Point
Source Institutions
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PBS
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In this math lesson, learners explore the relationship between the thickness of a spaghetti bridge, the length of the bridge, and the amount of weight that can be supported by the bridge. Learners then determine the algebraic equation that best represents that pattern modeled by these three variables (thickness, length, and supported weight).
- Under 5 minutes
- 45 to 60 minutes
- $5 - $10 per group of students
- Ages 14 - 18
- Activity, Experiment/Lab Activity, Lesson/Lesson Plan
- English
Quick Guide
Materials List (per group of students)
- Graphing calculator with overhead unit
- Overhead projector
- Class data chart on newsprint or blackboard
- Cups with paper clips for hanging over the spaghetti bridges
- Rolls of pennies
- Handfuls of Vermicelli (thin spaghetti)
- Balance scales (optional)
- Stressed to the Breaking Point activity sheets
Subjects
- Engineering and Technology
- Engineering
- Civil Engineering
- Engineering
- Mathematics
- Algebra
- Equations and Inequalities
- Patterns
- Variables and Expressions
- Data Analysis and Probability
- Data Analysis
- Data Collection
- Data Representation
- Measurement
- Problem Solving
- Reasoning and Proof
- Representation
- Algebra
- Physical Sciences
- Structure and Properties of Matter
- Mass and Weight
- Structure and Properties of Matter
- The Nature of Science
- The Scientific Process
- Conducting Investigations
- Gathering Data
- Formulating Explanations
- Communicating Results
- The Scientific Process
Informal Categories
- Food and Cooking
- Sports and Exercise
Audience
To use this activity, learners need to:
- see
- read
- touch
Learning styles supported:
- Involves teamwork and communication skills
- Involves hands-on or lab activities
Other
Common Core State Standards for Mathematics:
- CCSS.Math.Content.HSF-IF.B.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.(more info about this benchmark)
- CCSS.Math.Content.HSF-IF.B.6: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.(more info about this benchmark)
- CCSS.Math.Content.HSF-IF.C.7a: Graph linear and quadratic functions and show intercepts, maxima, and minima.(more info about this benchmark)
Includes assesments for student learning
This resource is part of:
Access Rights:
- Free access
By:
Rights:
- All Rights Reserved, PBS, ©2012
Funding Source:
- US Department of Education
