Everything Balances Out in the End

Students use a pan balance to study equality, order of operations, numerical and variable expressions, and other key algebraic concepts. In this three lesson unit plan, equivalent relationships will be recognized when the pans balance, demonstrating the properties of equality. Students also use this pan balance (numbers) applet to practice the order of operations in simplifying numerical expressions and to demonstrate the conventions of using algebraic logic in simplifying expressions. Lastly, using the same tools, students determine if algebraic expressions are equal.

Weblink address (URL): 
Everything Balances Out in the End

Standards & Objectives

Academic standards
GLE 0606.3.2
Interpret and represent algebraic relationships with variables in expressions, simple equations and inequalities.
 
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Learning objectives: 

Learning Objectives:

Students will:

  • Complete a chart by doubling or halving numbers.
  • Compare data by use of vertical and horizontal bar graphs.
Essential and guiding questions: 

Questions for Students:

  • When would you need to halve a number?
  • Provide an example of when you would need to double a number.
  • Assume that Amy's parents told her she weight 6 lbs. at birth. How much did she weight six months later?

Lesson Variations

Blooms taxonomy level: 
Understanding
Extension suggestions: 

Extensions:

  • Students can order the students' weight at birth from least to greatest.
  • Students can find out (from their parents) their birth weights and weight at six months to determine if these weights follow the rule of thumb as discussed in class.

Helpful Hints

Materials:

  • Two colored crayons for each student (preferably red and brown)  
  • Baby Weight Activity Sheet 
  • Grid Paper 

References

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