Ratio and Proportional Reasoning
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Rate | A ratio that compares two quantities with different kinds of units
Ex: boys to girls, dollars to pounds, miles per hour
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| 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
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| Complex fractions | fractions with a numerator, denominator or both that are also fractions
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| Dimensional Analysis | the process of including the units of measure as factors when you compute
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| Proportional | if two quantities have a constant ratio or unit rate
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| Non-proportional | two quantities where the relationship is not constant
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| Equivalent ratios | ratios that have the same value
ex: 4/10 = 12/30 = 2/5
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| Coordinate plane | a type of grid that is formed when two number lines intersect at their zero points.
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| Quadrants | The four regions formed when the number lines intersect at their zero points
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| Ordered pair | a pair of numbers used to locate or graph points on the coordinate plane ex: (3, -2)
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| Proportion | an equation stating that two ratios or rates are equivalent.
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| rate of change | a rate that describes how one quantity changes in relation to another
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| 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)
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| slope (constant rate of change) | the constant rate of change
(m = change in y/change in x)
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| Direct Variation (pre-algebra only) | when two variable quantities have a constant ratio
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| 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
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| similar figures - pre-algebra only | two polygons where their corresponding angles are congruent and their corresponding sides are proportional
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| scale - pre-algebra only | determined by the ratio of a given length on a drawing or model to its corresponding actual length
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| scale factor - pre-algebra only | a scale written as a ratio without units in simplest form
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| indirect measurement - pre-algebra only | when distances or lengths are difficult to measure directly you use the properties of similar polygons and proportions
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Created by:
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