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999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

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Sixth Grade

Ratios and Proportional Relationships

Critical Content

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

 

Critical Language

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.

 

Content-Specific Vocabulary

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

 

Process-Specific Vocabulary

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

 

Concept-Based Connections

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?