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Counting the Trains

In this three lesson unit plan, Cuisenaire rods are used to build trains of different lengths and patterns are investigated. Students will use tables to create graphs, define recursive functions, and approximate exponential formulas to describe the patterns.

Weblink address (URL): 
Counting the Trains

Standards & Objectives

Learning objectives: 

Students will:

  • Construct and use a two-pan balance.
  • Compare mass of two objects.
  • Construct a horizontal bar graph showing the results of their measurement.
  • Determine position necessary to balance uneven objects.
  • Identify the effect on balance of moving the fulcrum.

Lesson Variations

Blooms taxonomy level: 
Understanding
Extension suggestions: 
  • Develop understanding of the relationship that the product of the length of the mass arm and the mass of one object is equal to the product of the length of the mass arm and the mass of the second object when the scale is balanced.

 

Helpful Hints

Materials:

  • Maintaining the Balance Activity Sheet 
  • Shifting the Balance Activity Sheet 
  • Crayons, tape, 2 small styrofoam cups, and a centimeter ruler for each group
  • Paper clips of like mass
  • A collection of small objects to be weighed

References

Contributors: 
Roxann Johnson
Originator: 
Ayers Institute for Learning & Innovation