 # ***Ratios, Rates. and Proportion Study Cards (7th Grade)

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Ratios, Rates. and Proportion Study Cards (7th Grade) by Irene Kim *** = VERY IMPORTANT ## Resource summary

 Question Answer Ratios a comparison of two quantities (written as fractions) Ratios #2 Ratios can only form a proportion if they are equivalent. Equivalent Ratios ratios that can be simplified to exactly the same value Equivalent Ratios #2 Equivalent ratios are equal to each other. How to Check if Two Ratios Form a Proportion (or are Equivalent): Check to see if the cross products are equal. If Two Ratios are Equivalent: 1) a divided by b = c divided by d 2) Both ratios have the same simplified value. 3) The cross products are equal. Rates a comparison of two quantities with units (usually has something to do with change) Unit Rate the basic rate that all the other rates are equivalent to Unit Rate #2 The unit rate keeps the rate of change constant. Unit Rate #3 The denominator is always 1, and they all have a common denominator. Equivalent Rates rates that represent the same value, but look different Equivalent Rate #2 The equivalent rate looks different, but has the same value. Equivalent Rate #3 The equivalent value has either the numerator or the denominator unknown. Equivalent Rate #4 For the equivalent rate, the basic rate stays the same, but has new conditions. Rate Table summary of all the equivalent rates in a table Rate Table #2 All the rates in a rate table are equivalent and can be used to write problems. Rate Table #3 Since all the rate tables are equivalent, and can be used to write proportions, the rate table represents a proportional relationship. Independent Variable input, x Dependent Variable output, y Variable a place holder (EX: m, n, x, v) Constant stands alone Coefficiant multiplies a variable (EX: 2x, 3n, 4m, 8d the number before the variable) ***Proportional Relationship Equation Dependent Variable = Unit Rate x Independent Variable OR **** y = cx **** Percent Proportion part/whole = x/100 Percent Proportion #2 The ratio of part of a number to the whole number is equivalent to the ratio of the percent value to 100. Percents a ratio of a number to 100

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