# 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

## The Number System

### Power Standards

• Solve mathematical problems, including those in real-world contexts, involving the four operations with positive and negative rational numbers. (7.NS.3)

### Concepts and Skills

* Power Standard Content

• * Add and subtract rational numbers
• Represent on a number line model
• Describe how opposites combine to make 0
• Understand subtraction as being the same as adding the additive inverse
• Apply properties of operations as strategies
• * Multiply and divide rational numbers
• Understand rules for multiplying and dividing integers
• Convert fractions to decimals using long division
• Apply properties of operations as strategies
• * Apply operations in real-world problem solving situations
• Use positive and negative numbers to graph in four quadrants
• Solve problems following appropriate order of operations

### Language Usage

• A student in 7th grade can demonstrate the ability to apply and comprehend critical language by developing and explaining systematic ways to add, subtract, multiply, and divide positive and negative numbers, developing algorithms for computation and using the order of operations to solve problems.

### Content-Specific Vocabulary

• Subtract
• Multiply
• Divide
• Sum
• Difference
• Product
• Quotient
• Rational numbers
• Integers
• Number line
• Opposite
• Fractions
• Decimals
• Algorithm
• Order of operations
• Long division
• Positive
• Negative

• Convert
• Apply
• Model
• Graph

### Essential Understandings

• Integers allow us to describe values relative to a fixed point (e.g., the origin, 0°).
• Rules for operating on signed integers result from extending patterns and applying properties of operations.
• A standard order of operations exists to solve problems with consistent results.

### Factual Guiding Questions

• How do you add and subtract integers?
• How do you multiply and divide integers?
• How do you determine the opposite of an integer?
• What is the order of operations?
• How do you locate a point given its coordinates?
• What is a number’s absolute value?

### Conceptual Guiding Questions

• How can you decide whether a sum/difference will be positive or negative?
• What patterns exist when multiplying/dividing positive and negative numbers?
• How can you apply the order of operations to solve a problem?
• What does absolute value represent?
• How would you represent addition and subtraction using a number line? Using chips?

### Engaging/Debatable Guiding Questions

• How are positive and negative numbers used in the real world?
• What is the purpose of the order of operations and why is it important?
• How does the meaning of an absolute value help solve a problem?
• How are the patterns affected if you multiply or divide more than two numbers?