Patterns and Functions: Fill 'er Up

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In this math lesson, learners predict, interpret, and sketch graphs of functions related to the shapes of bottles. A measure of water is poured into a container. Learners graph this as an ordered pair by using the number of the measure (x) and the resulting height of the water (y). Learners compare the ordered pairs of containers with various shapes, including irregular shapes.

Quick Guide

Preparation Time:
5 to 10 minutes
Learning Time:
45 to 60 minutes
Estimated Materials Cost:
1 cent - $1 per group of students
Age Range:
Ages 11 - 14
Resource Types:
Activity, Experiment/Lab Activity, Lesson/Lesson Plan, Model
Language:
English

Materials List (per group of students)

  • Two clear containers with different shapes
  • Six additional clear containers with different shapes and large graphs related to three of these containers
  • Container filled with colored water (rice or sand can be used instead of water)
  • 12-inch ruler
  • Graph paper
  • Measuring devices (i.e. cup, ladle, graduated cylinder)

Keywords

Subjects

  • Mathematics
    • Algebra
      • Patterns
      • Variables and Expressions
    • Data Analysis and Probability
      • Data Analysis
      • Data Collection
      • Data Representation
    • Measurement
    • Representation
  • The Nature of Technology
    • The Design Process
      • Problem Solving

Audience

To use this activity, learners need to:

  • see
  • read
  • touch

Learning styles supported:

  • 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