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In this math lesson (page 2 of the PDF), learners use bottles of various shapes to explore the abstract concept of rate of change. Learners use a graduated cylinder to measure amounts of water, then add the water to their assigned container and measure the height of the water. After this data is collected, learners make a scatterplot of the their data. This lessons also includes other problems related to rates of change (optional).
- Under 5 minutes
- 45 to 60 minutes
- 1 cent - $1 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
- Collection of various bottles, beakers, and flasks
- Markers
- Newsprint
- Rulers
- Measuring devices such as small graduated cylinders
- Screening devices such as poster board or a box (optional)
- Graphically Speaking activity sheet
Subjects
-
Mathematics
-
Algebra
- Equations and Inequalities
-
Data Analysis and Probability
- Data Analysis
- Data Collection
- Data Representation
-
Measurement
- Rate
- Reasoning and Proof
- Representation
-
Algebra
-
The Nature of Technology
-
The Design Process
- Problem Solving
-
The Design Process
-
Physical Sciences
-
Structure and Properties of Matter
- Volume and Density
-
Structure and Properties of Matter
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
This resource is part of:
Access Rights:
- Free access
By:
Rights:
- All rights reserved, PBS, 2012
Funding Source:
- US Department of Education