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K–12 teaching and learning · from the UNC School of Education

Everything balances out in the end

http://illuminations.nctm.org/LessonDetail.aspx?id=U170

A lesson plan for grades 6–7 Mathematics

Provider: National Council of Teachers of Mathematics


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Students use a pan balance to study equality, order of operations, numerical and variable expressions, and other key algebraic concepts. In this three part unit, students learn how using a balance can contribute to algebraic understanding.

Math Content:

  • Using a balance pan to demonstrate equivalence
  • Balancing shapes, numerical expressions, and variable expressions
  • Properties of equality
  • Order of operations
  • Solving equations using algebraic logic

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 6

  • Goal 5: Algebra - The learner will demonstrate an understanding of simple algebraic expressions.
    • Objective 5.01: Simplify algebraic expressions and verify the results using the basic properties of rational numbers.
      • Identity.
      • Commutative.
      • Associative.
      • Distributive.
      • Order of operations.
    • Objective 5.02: Use and evaluate algebraic expressions.
    • Objective 5.03: Solve simple (one- and two-step) equations or inequalities.
    • Objective 5.04: Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.

Grade 7

  • Goal 5: Algebra - The learner will demonstrate an understanding of linear relations and fundamental algebraic concepts.
    • Objective 5.01: Identify, analyze, and create linear relations, sequences, and functions using symbols, graphs, tables, diagrams, and written descriptions.
    • Objective 5.02: Translate among different representations of algebraic expressions, equations and inequalities.
    • Objective 5.03: Use and evaluate algebraic expressions, linear equations or inequalities to solve problems.
    • Objective 5.04: Develop fluency in the use of formulas to solve problems.