I can find ratios and rates and convert units and rates.
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Transcript of I can find ratios and rates and convert units and rates.
I can find ratios and rates and convert units and rates.
*2.6 Ratios, Rates, and Conversions
*Ratio*Compares two numbers by division
*Can be written 3 ways
*a:b
*a to b
*For every a units of one quantity, you have b units of another quantity.
*Ex: if the ratio of boys to girls in a class is 2:1, then the number of boys is two times the number of girls
*Rate
*A ratio that compares quantities measured with different units
*A rate with a denominator of 1 is called a unit rate
*per 1 unit of measurement.
*Comparing Unit Rates
*
*Write each price as a ratio.
*Then write each unit rate.
*Store C offers the best deal because it has the smaller unit rate.
*Converting Units
*Multiply by the conversion factor
*A ratio of two equivalent measures in different units.
*Ex:
*Write the conversion factor so that desired units are in the numerator and original units are in the denominator.
*Practice
*330 min; hours
*Divide out common units
*Simplify
*You try!
*15 kg; grams
*5 ft 3 in; inches
*1250 cm; meters
*Unit Analysis
*Notice that units for each quantity are included in the calculations to help determine units for the answer.
*Also called dimensional analysis
*Converting Rates
*Because rates involve two different units, you must multiply by two conversion factors.
*Ex: converting miles per hour to feet per second.
*You try!
*A student ran the 50 yd dash in 5.8 s. At what speed did the student run in miles per hour? round to the tenth.
*17.6 mi/h
*Assignment
*ODDS ONLY
*P.119 #11-21,25-29,35,39