Unit 3: Proportional Reasoning with Ratios and Rates

ratio

A comparison of two labeled quantities by division 2 boys : 3 girls, 2 boys/3 girls, 2 boys to 3 girls

constant of proportionality

A constant ratio between two proportional quantities y/x denoted by the symbol k

unit rate

A ratio between 2 different units where one of the terms is expressed as a quantity of 1.

rate

A ratio that compares two quantities measured in different units 60 miles to 1 hour, 60 miles per hour, 60 miles/1 hour

proportional reasoning

Using the concept of proportions when analyzing and solving a mathematical situation

proportional relationship

a comparative relationship of one ratio to another showing equality

constant rate of change

a ratio when the the dependent, y-value, changes at a constant rate for each independent, x-value y=mx + b

scale factors

the ratio of the length of corresponding sides in similar figures