Ratios and Proportions Ratio: A comparison of two quantities. Example: the ratio of a to b is, where b =0 Proportion: A proportion is formed when you have two equal ratios. Proportion Table: A table used to find equivalent ratios and prove proportional relationships.
3 Ways to express a ratio!!! As a fraction Using a colon (:) a:b Using the word “to” a to b ALWAYS SIMPLIFY YOUR RATIOS
Find the ratio of smiley faces to hearts using all three methods
= : = = to = : 6 = 2 : 3 4 to 6 = 2 to 3
Find the ratio of: Boys to girls in the classroom Dress code sweatshirts to non-dress code sweatshirts Girls to total students in the classroom Students to teachers (this is called a unit rate)
OK…What would those ratios look like in a proportion table? BoysProcessGirls Place a star beside the simplest form ratio and label it SFR
Dress codeProcessNon-dress code Place a star beside the simplest form ratio and label it SFR
GirlsProcess Total Students Place a star beside the simplest form ratio and label it SFR
TeachersProcessStudents Place a star beside the simplest form ratio and label it SFR