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999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

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Sixth Grade

Expressions and Equations

Critical Content

Power Standards

  • Write, read, and evaluate expressions in which letters stand for numbers. (6.EE.2)
  • Solve mathematical problems, including those in real-world contexts, by writing and solving one-step equations using non-negative rational numbers. (6.EE.7)

 

Concepts and Skills

* Power Standard Content

  • Write and evaluate numerical expressions involving whole-number exponents
  • * Evaluate expression by substituting values for variables and using the order of operations, including whole-number exponents
  • Generate equivalent expressions using properties of operations
  • Identify when two expressions are equivalent
  • Write an expression using variables to solve a real-world problem
  • * Write and solve one-step equations
  • Write an inequality to represent a real-world problem
  • Write an equation using two variables that represent a dependent/independent relationship
  • Identify the relationship between two variables in tables, graphs, and equations

 

Critical Language

Language Usage

  • A student in 6th grade will demonstrate the ability to apply and comprehend critical language by identifying the parts of an expression, explaining the relationship between two variables in tables, graphs, and equations, interpreting the problem and writing an equation/inequality, explaining a solution strategy, and describing why expressions are/are not equivalent.

 

Content-Specific Vocabulary

  • Sum
  • Term
  • Product
  • Factor
  • Quotient
  • Coefficient
  • Exponent
  • Expression
  • Variable
  • Independent
  • Dependent
  • Equation
  • Inequality

 

Process-Specific Vocabulary

  • Identify
  • Evaluate
  • Solve
  • Solution
  • Strategy
  • Relationship
  • Equivalent
  • Substitute
  • Generate
  • Write
  • Analyze

Concept-Based Connections

Essential Understandings

  • Equations and inequalities are models of relationships that exist in real-world situations.
  • Writing and solving an equation or inequality is an efficient strategy for finding a solution to a real-world problem.
  • The relationship between two variables can be represented by tables, graphs, and equations.
  • Situations determine the form that an expression or equation will take.

 

Factual Guiding Questions

  • Why is it important to follow the order of operations?
  • How do you know when two things are equivalent?
  • What are the variables in the problem? Which is dependent? Independent?

 

Conceptual Guiding Questions

  • How does the relationship between two variables show up in a table, graph, and equation?
  • What decisions do you need to make when writing an equation to represent a relationship between variables?
  • What does it mean to say that two expressions are equivalent?

 

Engaging/Debatable Guiding Questions

  • Which representation makes it easiest to see the relationship between two variables?
  • How are equations useful in the real world? Where do we see this?