# CONTACT CCSD21

Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

# VISIT A SCHOOL

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

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### BECOME A MEMBER OF THE SCHOOL DISTRICT 21 TEAM

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

## Functions

### Power Standards

• Define, evaluate and compare linear and non-linear functions. (8.F.1-3)
• Compare properties of two functions of the same type, each represented in a different way. (8.F.2)

### Concepts and Skills

* Power Standard Content

• Input-output relationship of functions
• * Compare two functions represented differently (table, graph, equation, description)
• * Understand, interpret and construct equations in y=mx+b notation
• * Describe the relationship between two variables from their graph
• Recognize the connection between exponential equations and growth/decay patterns in tables and graphs
• Construct equations to express exponential patterns that appear in data tables, graphs, and problem situations

### Language Usage

• A student in 8th grade will demonstrate the ability to apply and comprehend critical language by understanding, interpreting and constructing linear and non-linear functions.

### Content-Specific Vocabulary

• Input
• Output
• Function
• Equations
• Variable
• Linear
• Non-linear
• Table
• Graph
• Exponential
• Notation
• Growth patterns
• Decay patterns
• Multiplicative

• Compare
• Understand
• Interpret
• Construct
• Describe
• Properties
• Recognize

### Essential Understandings

• Linear, exponential and quadratic relationships have specific properties.
• Exponential relationships are multiplicative while linear relationships are additive.
• Tables, graphs and equations are tools for modeling real-world situations and solving problems.

### Factual Guiding Questions

• How do you create an input-output table for a given function?
• What do each of the variables in the standard equation y=mx+b represent?
• What would the graph look like for different types of functions?
• What is an exponential equation?

### Conceptual Guiding Questions

• What is the difference between inputs/outputs of a function versus a relation that is not a function?
• How do you compare two functions when looking at tables, graphs, and equations?
• How are growth/decay patterns in tables and graphs connected to exponential equations?

### Engaging/Debatable Guiding Questions

• What is the relationship between linear and non-linear functions?
• When would you use the different functions in real-world situations?