2-6 RATIOS, RATES & CONVERSIONS

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Presentation transcript:

2-6 RATIOS, RATES & CONVERSIONS Mrs. Caffey MHS Algebra I September 2012

VOCABULARY RATIO – a comparison of two numbers by division. Example: The ratio of 3 to 5 can be expressed as: 3 to 5 3:5

VOCABULARY RATE – ratio that compares quantities measured in different units Example: $25 for 2 shirts 348 miles in 6 hours UNIT RATE – rate with a denominator of 1 Example: $12.50 for 1 shirt 68 miles in 1 hour

EX #1: COMPARING UNIT RATES You are shopping for shirts. What store has the best deal? $25 for 2 shirts $45 for 4 shirts $30 for 3 shirts STEP 1: Write each STEP 2: Write price as a ratio each as a unit rate

EX #2 CONVERTING UNITS 1. Choose a conversion factor & MULTIPLY CONVERSION FACTOR: a ratio of 2 equivalent measures in different units such as Convert 330 minutes to hours: 1. Choose a conversion factor & MULTIPLY it by the ORIGINAL amount 2. Cross out pairs of matching units 3. Simplify 4. CLT

EX #2 CONVERTING UNITS 1. Choose a conversion factor & MULTIPLY Convert 15 kg to grams CONVERSION FACTOR: 1. Choose a conversion factor & MULTIPLY it by the ORIGINAL amount 2. Cross out pairs of matching units 3. Simplify 4. CLT

STUDENTS TRY: 15 days to hours 11 lbs to ounces 5 liters to quarts Convert the given amount to the given unit 15 days to hours 11 lbs to ounces 5 liters to quarts 25 km to cm

EX #3 CONVERTING BETWEEN SYSTEMS The CN Tower in Canada is about 1815 ft tall. About how many METERS tall is it? CONVERSION FACTOR: 1 m 3.28 ft 1. Choose a conversion factor & MULTIPLY it by the ORIGINAL amount 2. Cross out matching units 3. Simplify

EX #4 CONVERTING RATES 1. Write the speed as a ratio A student ran the 50-yd dash in 5.8 seconds. At what speed did the student run in miles per hour? CONVERSION FACTOR: 1 mile = 1760 yd 1. Write the speed as a ratio Use Conversion to change yards to miles 2. Cross out matching units 3. Use another conversion to change seconds to hours 4. Simplify

EX #4 STUDENTS TRY 1. Write the speed as a ratio A An athlete ran a sprint of 100 ft in 3.1 sec. At what speed was the athlete running in miles per hour? CONVERSION FACTOR: 1. Write the speed as a ratio Use Conversion to change feet to miles 2. Cross out matching units 3. Use another conversion to change seconds to hours 4. Simplify

HOMEWORK Page 133 (#10-20 EVEN and 24-32 ALL, 34, 35)