Crazy about Conversions



Rates, Ratios, and Proportions

VOCABULARY

| |Word |Definition |Example |

|1 |Congruent |Same size and shape; corresponding | [pic][pic][pic] |

| | |sides and angles are equal | |

| | |(Symbol: [pic] | |

| | | | |

|2 |Convert (conversion) |To change from one form to another |Time conversion: 1 minute = 60 seconds |

| | | |Length conversion: 12 inches = 1 foot |

|3 |Corresponding |In similar figures, parts that in the | |

| | |same location and are in proportion |SA corresponds to MO |

| | | | |

| | | |OR corresponds to AL |

| | | | |

| | | | |

|4 |Cross multiplying |One method to prove proportions are |[pic] [pic] |

| | |equal | |

|5 |Customary system |A system of measurement in the U.S. |Length: inch, foot, yard mile |

| | | |Capacity: ounce, cup, pint, quart, gallon |

| | | |Weight: ounce, pound, ton |

|6 |Equivalent rates |Rates that have the same value (are |[pic] |

| | |equal) | |

| | | |Because [pic] |

| | | | |

| | | | |

|7 |Equivalent ratios |Ratios that have the same value (are |[pic]are equivalent ratios because both ratios equal 0.625 |

| | |equal) | |

|8 |Formula |A mathematical statement or rule |Convert 40 degrees Celsius to degrees Fahrenheit using the formula |

| | | |[pic]: |

| | | |[pic] |

| | | | |

| | | | |

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|9 |Indirect measurement |A technique that uses proportions to |On a map, 1 inch = 25 miles. If a distance between two cities is 8 |

| | |find a measurement when direct |inches, how many miles is it? |

| | |measurement is not possible | |

| | | |[pic] [pic] |

|10 |Metric |A system of measurement based on tens |Kilo- Hecto- Deka- (base) Deci- Centi- Milli- |

| | | |Base units |

| | | |Capacity: liter |

| | | |Length: meter |

| | | |Mass: gram |

|11 |Multiplicative Identity Property |Any number multiplied by one will | |

| | |always give a product of the original | |

| | |number (the number keeps its identity) | |

|12 |Percent |A ratio meaning “out of 100” (Symbol: | |

| | |%) |[pic] [pic] |

| | | | |

| | | | |

|13 |Polygon |A closed figure formed from line | Examples Non-Examples |

| | |segments that meet only at their | |

| | |endpoints | |

| | | | |

| | | | |

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|14 |Proportion |An equation that states that two terms |[pic] [pic] |

| | |are equal | |

|15 |Rate |A fixed ratio between two things |Cell phone plan: 8 cents/minute |

| | | |Bag of candy: $1.49/lb |

|16 |Ratio |A comparison of two numbers; can be |There are 3 boys and 4 girls in the class. What is the ratio of boys|

| | |written in words, as a fraction, or |to girls? |

| | |with a colon | |

| | | |Words 3 to 4 |

| | | | |

| | | |Fraction [pic] |

| | | | |

| | | |Colon 3:4 |

|17 |Similar |Figures that are the same shape but not| |

| | |necessarily the same size | |

| | |(Symbol: ~) | |

| | | | |

| | | | |

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|18 |Standard system |Another name for the customary system |Length: inch, foot, yard mile |

| | | |Capacity: ounce, cup, pint, quart, gallon |

| | | |Weight: ounce, pound, ton |

|19 |Unit Analysis |The mathematical process used to |Convert 25 miles per hour to feet per second |

| | |convert from one measurement to another|[pic] |

|20 |Unit Rate |A rate that has a denominator of one | Apples cost [pic] Speed limit is [pic] |

| | |unit | |

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