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
|