Mathematics

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.

Content-Specific Vocabulary

• 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?