Lesson 3 Ratios Rates and Percents Customary Conversions

Lesson 3 Ratios, Rates and Percents Customary Conversions

Warm-Up Write the first four terms of a geometric sequence with the given first term and ratio. 1. 3. first term: 1 ratio: 3 2. first term: 10000 ratio: Determine whether or not the sequence is a geometric sequence. Explain why or why not. 5, 10, 15, 20, 25, … Complete each blank. 4. 1 foot = ____ inches 5. 1 hour = ____ minutes

Customary Conversions Target: Convert customary measurements.

Vocabulary � Conversion: The process of renaming a measurement using different units.

Example 1 Choose a reasonable estimate. Explain your choice. a. amount of water in a personal water bottle: 1 quart or 1 gallon b. length of a couch: 6 yards or 6 feet c. weight of an elephant: 2 pounds or 2 tons

Unit Conversions � When converting to smaller units, MULTIPLY ( ). � When converting to larger units, DIVIDE ( ).

Example 2 a Complete the conversion: 2 miles = ___ feet � Find conversion factor: 1 mile = 5280 feet � Multiply � 2 (to get smaller unit): 2 × 5280 = 10560 miles = 10, 560 feet

Example 2 b Complete the conversion: 280 days = ___ weeks � Find conversion factor: 1 week = 7 days � Divide � 280 (to get larger unit): 280 ÷ 7 = 40 days = 40 weeks

Example 2 c Complete the conversion: 18 inches = ___ feet � Find conversion factor: 1 foot = 12 inches � Divide � 18 (to get larger unit): 18 ÷ 12 = 1. 5 inches = 1. 5 feet

Exit Problems Complete each conversion. 1. 3 weeks = _____ days 2. 90 minutes = _____ hours 3. 4 yards = _____ feet

Communication Prompt Explain a situation where you would want to change units from inches to feet or feet to yards. How would you change the units?