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