Term | Definition |
Rate | A ratio that compares two quantities with different kinds of units
Ex: boys to girls, dollars to pounds, miles per hour |
Unit Rate | when a rate is simplified so it has a denominator of one unit
ex: $24/6bottles = $4 per bottle or $4/1 bottle |
Complex fractions | fractions with a numerator, denominator or both that are also fractions |
Dimensional Analysis | the process of including the units of measure as factors when you compute |
Proportional | if two quantities have a constant ratio or unit rate |
Non-proportional | two quantities where the relationship is not constant |
Equivalent ratios | ratios that have the same value
ex: 4/10 = 12/30 = 2/5 |
Coordinate plane | a type of grid that is formed when two number lines intersect at their zero points. |
Quadrants | The four regions formed when the number lines intersect at their zero points |
Ordered pair | a pair of numbers used to locate or graph points on the coordinate plane ex: (3, -2) |
Proportion | an equation stating that two ratios or rates are equivalent. |
rate of change | a rate that describes how one quantity changes in relation to another |
constant rate of change (slope) | if the rate of change between any two quantities is the same
(m = change in y over change in x) |
slope (constant rate of change) | the constant rate of change
(m = change in y/change in x) |
Direct Variation (pre-algebra only) | when two variable quantities have a constant ratio |
Constant of Variation (constant of proportionality) - pre-algebra only | the constant ratio
y=kx The "k" is the constant of proportionality or constant of variation |
similar figures - pre-algebra only | two polygons where their corresponding angles are congruent and their corresponding sides are proportional |
scale - pre-algebra only | determined by the ratio of a given length on a drawing or model to its corresponding actual length |
scale factor - pre-algebra only | a scale written as a ratio without units in simplest form |
indirect measurement - pre-algebra only | when distances or lengths are difficult to measure directly you use the properties of similar polygons and proportions |