Balancing algebraic understanding
http://illuminations.nctm.org/LessonDetail.aspx?ID=L643
A lesson plan for Grade 6 Mathematics
About this resource
- Appropriate grades
- 6
- Subjects
- mathematics (algebra)
- Provider
- National Council of Teachers of Mathematics
Legal
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Using a balance in the classroom is a first step to algebraic understanding. 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. Illuminations provides activity sheets, overheads, a link to the numbers applet, and detailed instructions for completing the lesson.
Students will:
- Develop an understanding of equality.
- Use a pan balance (number) to determine equivalence of numeric expressions involving the order of operations (including exponents).
- Develop algebraic understanding as expressions are simplified and recorded step by step.
NCTM Standards and Expectations:
- Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations.
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 5.01: Simplify algebraic expressions and verify the results using the basic properties of rational numbers.
