Comparing Ratios, Rates, and Conversions
In this learning module, students explore ratios, rates, and conversions through real-world scenarios. They discuss with a partner, compare unit rates while shopping, convert units, and perform unit analysis. The content includes explanations, examples, and problems for practice.
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Presentation Transcript
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 1 Example: 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 1 ?? 12 ??) (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 1 ? 3.28 ??
A building is 1450 feet tall. How many meters tall is the building. Use 1 ? 3.28 ??
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.
