# 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

## Ratios and Proportional Relationships

### Power Standards

• Use ratios and rate reasoning to solve mathematical problems, including those in real-world contexts. (6.RP.3)

### Concepts and Skills

* Power Standard Content

• Use ratios to describe a relationship
• Write ratios as unit rates
• * Make and use rate tables (whole number measurements) to compare ratios
• * Solve real-world problems using rates and ratios
• * Find a percent of a quantity
• * Solve problems involving finding the whole given a part and the percent
• * Convert between measurement units

### Language Usage

• A student in 6th grade will demonstrate the ability to apply and comprehend critical language by using ratio and rate language to describe a ratio relationship between two quantities.

• Ratio
• Rate
• Unit rate
• Rate table
• Percent
• Whole
• Part
• Quantity

### Process-Specific Vocabulary

• Describe
• Convert/transform
• Relationship
• Compare
• Solve
• Represent

### Essential Understandings

• Ratios and rates are used to make comparisons.
• Ratio reasoning can be used to solve real-world problems.

### Factual Guiding Questions

• How do you find a unit rate from a ratio?
• How do you find the percent of a number?
• Given a part and the percent, how do you find the whole?
• How would you make a comparison using ratios? Percents? Rates?

### Conceptual Guiding Questions

• Why do we use ratios?
• How are fractions and ratios related? Percents and rates?
• What type of situations lead to using a ratio to make a comparison? A percent? A rate?

### Engaging/Debatable Guiding Questions

• What is the best method for determining the better buy?
• What are the real-world applications of rates and ratios?