# 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.

VIEW BOUNDARY MAP

### 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.

|

# Mathematics

## Expressions and Equations

### Power Standards

• Derive the equation for a line using the form y=mx+b. (8EE.6)
• Solve linear equations with variables on both sides of the equation. (8.EE.7)

### Concepts and Skills

* Power Standard Content

• Integer exponents
• Square/cube roots
• Scientific notation
• Graph proportional relationships, interpret unit rates as slope
• * Derive the equation y=mx+b for a line
• Write algebraic expressions in useful equivalent forms
• * Solve linear equations in one variable
• Analyze and solve pairs of two equations with two variables
• Solve and graph inequalities
• Use systems of linear equations and inequalities to solve problems

### Language Usage

• A student in 8th grade will demonstrate the ability to apply and comprehend critical language by explaining how systems of equations (linear and exponential) and inequalities can help solve problems, as well as developing an understanding of them.

### Content-Specific Vocabulary

• Integer
• Exponent
• Square root
• Cube root
• Scientific notation
• Proportion
• Unit rate
• Similar
• Slope
• Linear equation
• Variable
• Infinite
• No solution
• Rational number
• Coefficient
• Inequalities
• Equations
• Algebraic expressions
• System

• Graph
• Demonstrate
• Consistency
• Solve
• Derive
• Interpret

### Essential Understandings

• Tables, graphs and equations are tools for modeling real-world situations.
• Symbolic manipulation of equations facilitates finding answers to real-world questions.

### Factual Guiding Questions

• What do each of the variables in the standard equation y=mx+b represent?
• What is an exponent?
• How do you calculate the slope of a line?
• What strategies are used to solve multi-step equations?
• What is a square/cube root?
• What is the difference between an expression, equation and inequality?

### Conceptual Guiding Questions

• How do you determine if two or more expressions are equivalent?
• What do the patterns of change in each expression or equation represent?
• How are symbolic statements used to show relationships or generalizations?
• What is the difference between positive and negative exponents?
• How are similar triangles related to slope?
• How can you use square/cube roots to represent solutions to equations?
• How do you apply the properties of exponents to simplify equations or exponents?

### Engaging/Debatable Guiding Questions

• What purpose does solving linear equations serve?
• In what ways can symbolic reasoning help support a conjecture?
• When is scientific notation used in real-world situations?
• Why are symbolic statements used to show relationships or generalizations?
• When would you use an expression, an equation or an inequality in a real-world situation?