999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

School Board & Administration



CCSD21 is a school district comprised of 13 schools across 6 different communities in the northwest suburbs of Chicago.



School District 21 prides itself on its Professional Learning Community and its rich tradition of professional collaboration, high levels of professional development, and family-like atmosphere. If you see the opportunity to work with colleagues in making a difference in the lives of students and families in a truly diverse setting, School District 21 seeks your application.

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Expressions and Equations

Critical Content

Power Standards

  • Apply properties of operations to generate equivalent expressions (i.e. add, subtract, factor and expand linear expressions). (7.EE.1)
  • Solve mathematical problems, including those in real-world contexts, by constructing and solving two-step equations and inequalities. (7.EE.4)


Concepts and Skills

* Power Standard Content

  • * Add, subtract, factor and expand linear expressions
  • * Rewrite expressions in equivalent forms
  • * Solve multi-step real-world problems
    • Calculate with numbers in any form
    • Convert between forms
    • Use mental computation and estimation strategies to assess reasonableness of answers
  • * Construct and solve simple equations and inequalities
  • Apply properties of operations to simplify expressions and solve problems (e.g., commutative property, distributive property)
  • Translate between representations of linear relationships (e.g., graph, table, equations)


Critical Language

Language Usage

  • A student in 7th grade can demonstrate the ability to apply and comprehend critical language by identifying, representing and interpreting linear relationships/functions and writing and solving linear equations.


Content-Specific Vocabulary

  • Add
  • Subtract
  • Multiply
  • Divide
  • Sum
  • Difference
  • Product
  • Quotient
  • Factor
  • Linear expressions
  • Equivalent
  • Multi-step
  • Equations
  • Inequalities
  • Commutative Property
  • Distributive Property


Process-Specific Vocabulary

  • Expand
  • Apply
  • Construct
  • Solve
  • Translate
  • Simplify


Concept-Based Connections

Essential Understandings

  • Linear functions are the algebraic representations of proportions.
  • Linear functions have multiple representations.


Factual Guiding Questions

  • What does a variable represent in a given problem?
  • What is a linear relationship?
  • How are the parts of a linear relationship represented by an equation in the form y=mx+b?
  • How can you solve for an unknown in an equation?


Conceptual Guiding Questions

  • How is a linear relationship represented in a table, graph, and equation?
  • How can you find the equation of a line?
  • How can you solve a problem using a table, graph or equation?
  • When is it useful to find an equivalent form of an expression?


Engaging/Debatable Guiding Questions

  • Which linear representation (e.g., table, graph, or equation) would you use to solve a problem?
  • Why is it important to know how to solve linear equations?
  • How are linear equations related to real-world situations?
  • How are properties of operations helpful in problem solving?