In this topic, students will:
use ratios and rates to describe the relationship between two quantities
find equivalent ratios and use unit rates to solve multi-step problems
find unit rates with ratios of fractionsÂ
use unit rates to solve multi-step problems
determine whether quantities are proportional by testing for equivalent ratios
use the constant of proportionality to write equations that represent proportional relationships
use equations to solve problems involving proportional relationships
use a graph to recognize proportionality
identify a constant of proportionality from a graph
interpet a point on a graph from a proportional relationship
explain whether a situation represents a proportional relationship
use representations to find entry points into problems
Vocabulary:
proportional relationship - for two quantities x and y, if y is always a constant multiple of x
Proportion - an equation that shows that two ratios are equal
Constant of proportionality - the value of the ratio y/x of two proportional quantities x and y