Linear Functions: Mystery Liquids


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In this math lesson, learners analyze the density of liquids in order to explore linear functions. Learners gather mass and volume data for two mystery liquids, oil and water, and then use the data to explore linear functions. Learners discuss the physical meaning of the slopes and y-intercepts of the various lines they create from scatterplots.

Quick Guide


Preparation Time:
Under 5 minutes

Learning Time:
45 to 60 minutes

Estimated Materials Cost:
$1 - $5 per group of students

Age Range:
Ages 14 - 18

Resource Types:
Activity, Experiment/Lab Activity, Lesson/Lesson Plan

Language:
English

Materials List (per group of students)


  • Fish tank (or other large, clear container) full of water
  • 1 can of Diet Coke
  • 1 can of regular Coke
  • Balances
  • Graduated cylinders
  • Liquid A (water with red food coloring added)
  • Liquid B (oil)
  • Large-size graph paper
  • Red and blue marking pens
  • Graphing calculators
  • Mystery Liquids activity sheets
  • Meter sticks

Subjects


  • Mathematics
    • Algebra
      • Equations and Inequalities
      • Patterns
      • Variables and Expressions
    • Data Analysis and Probability
      • Data Analysis
      • Data Collection
      • Data Representation
    • Measurement
    • Reasoning and Proof
    • Representation
  • The Nature of Technology
    • The Design Process
      • Problem Solving
  • Physical Sciences
    • States of Matter
      • Liquids
    • Structure and Properties of Matter
      • Mass and Weight
      • Volume and Density
  • The Nature of Science
    • The Scientific Process
      • Conducting Investigations
      • Gathering Data
      • Formulating Explanations
      • Communicating Results

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


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