CONTACT CCSD21

999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

School Board & Administration


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

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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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Mathematics

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?