Unit 7 - Proportions

Learning Outcomes
• Make a table of equivalent ratios to represent a proportional relationship between two quantities, when given a ratio or a practical situation.
• Identify the unit rate of a proportional relationship represented by a table of values or a verbal description, including those represented in a practical situation.
• Determine a missing value in a ratio table that represents a proportional relationship between two quantities using a unit rate.
​• Determine whether a proportional relationship exists between two quantities, when given a table of values or a verbal description, including those represented in a practical situation. Unit rates are limited to positive values.
​• Determine whether a proportional relationship exists between two quantities given a graph of ordered pairs. Unit rates are limited to positive values. 

Essential Questions
• How can proportions be used to solve problems?
• When is a relationship proportional?
​• How can ratios and proportions be used to model real-world situations such as calculating unit rates, finding equivalent fractions, recipe conversions, comparison shopping, monetary conversions, and conversions between measurement systems? 

proportion
proportional
ratio
​unit rate

equivalent
​value
​quantities

ordered pairs
​missing value
percentage

Proportion

a part, share, or number considered in comparative relation to a whole.

Proportional

(of a variable quantity) having a constant ratio to another quantity

Ratio

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other

Unit Rate

How much of something per 1 unit of something else

Equivilant

​equal in value, amount, function, meaning, etc

Value

​how much something is worth.

Quantities

​the amount or number represented in or by parts of an equation

Ordered Pairs

a pair of elements a, b having the property that ( a, b) = (u, v ) if and only if a = u, b = v.

Missing value

An instance wherein no data is present for the variable

Percentage

a rate, number, or amount in each hundred