BELL RINGER:DISCUSS WITH A PARTNER THE SITUATION GIVEN

2-6 Ratios, Rates, and Conversions

Ratio: Compares two numbers by division

Rate: A ratio that compares quantities measured in different units

example: 24 miles per 5 hours

Unit Rate: A rate with a denominator of 1Example: 22 miles per 1 hour

Problem 1: Comparing Unit Rates

You are shopping for T-Shirts. Which store offers the best deal?Store A: $25 for 2 shirts

Store B: $45 for 4 shirts

Store C: $30 for 3 shirts

2-6 Ratios, Rates, and Conversions cont.

Conversion Factor: a ratio of two equivalent measures in different units.

(always equal to 1, such as (Page 814 has common equivalent units of measures)

Problem 2: Converting Units

What is the given amount converted to the given units?

330 min; hours

What is the given amount converted to the given units?

5ft 3in.; Inches

What is the given amount converted to the given units?

1250 cm; meters

Unit Analysis (dimensional analysis): Including units for each quantity in a calculation to determine the unit of the answer

Problem 3: Converting Units Between Systems

The CN Tower in Toronto, Canada is about 1815 feet tall. About how many meters tall is the tower. Use the fact that

A building is 1450 feet tall. How many meters tall is the building. Use

Problem 4: Converting Rates

A student ran the 50-yd dash in 5.8 seconds. At what speed did the student run in miles per hour. Round your answer to the nearest tenth.

An athlete ran a sprint of 100 feet in 3.1 seconds. At what speed was the athlete running in miles per hour. Round to the nearest mile per hour.