Ratios and Proportional Relationships
Use ratios and rate reasoning to solve mathematical problems, including those in real-world contexts. (6.RP.3)
Concepts and Skills
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
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.
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?