Main Idea and New Vocabulary NGSSS Key Concept: Measurement Conversions Example 1: Convert Measures Example 2: Convert Between Systems Example 3: Convert Between Systems Five-Minute Check Lesson Menu

Convert customary and metric units of length, weight or mass, capacity, and time. unit ratio Main Idea/Vocabulary

MA.8.G.5.1 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems. Also addresses MA.8.A.6.4 NGSSS

Key Concept

Since 1 kg = 1,000 grams, multiply by . Convert Measures SHIPPING Cristos is shipping a package of model train parts. The package weighs 900 grams. What is the weight of the package in kilograms? Since 1 kg = 1,000 grams, multiply by . Divide out common units, leaving the desired unit, kilograms. Example 1

Answer: The package weighs 0.9 kilogram. Convert Measures Multiply. Answer: The package weighs 0.9 kilogram. Example 1

RUNNING Jacob ran a race that was 3 miles long RUNNING Jacob ran a race that was 3 miles long. How long was the race in feet? A. 15,840 ft B. 10,560 ft C. 5,280 ft D. 3,000 ft Example 1 CYP

Key Concept 2

Convert Between Systems Complete the conversion. Round to the nearest hundredth. 10 mi ≈ __ km Method 1 Use 1 km ≈ 0.621 mi. Since 1 km ≈ 0.621 mi, multiply by . Divide out common units, leaving the desired unit, kilometer. Example 2

Convert Between Systems Multiply. Method 2 Use 1 mi ≈ 1.609 km. Since 1 km ≈ 0.621 mi, multiply by . Divide out common units, leaving the desired unit, kilometer. Example 2

Convert Between Systems Answer: So, 10 miles is approximately 16.09 kilometers. Example 2

Complete the conversion. Round to the nearest hundredth. 4 L ≈ __ qt B. 3.78 C. 4.23 D. 8.46 Example 2 CYP

Convert Between Systems Complete the conversion. Round to the nearest hundredth. 3 gal ≈ __ L Method 1 Use 1 L ≈ 0.264 gal. Since 1 L ≈ 0.264 gal, multiply by . Divide out common units, leaving the desired unit, liter. Example 3

Convert Between Systems Multiply. Method 2 Use 1 gal ≈ 3.785 L. Since 1 gal ≈ 3.785 L, multiply by . Divide out common units, leaving the desired unit, liter. Example 3

Convert Between Systems Answer: 3 gallons is approximately 11.36 liters. Example 3

Complete the conversion. Round to the nearest hundredth. 250 g ≈ __ oz B. 113.48 C. 7,087.50 D. 7,142.86 Example 3 CYP

Complete. 112 mm = __ m A. 0.0112 B. 0.112 C. 1.12 D. 11.2 Five Minute Check 1

Complete. 4 gal = __ qt A. 1 B. 8 C. 16 D. 32 Five Minute Check 2

Complete the conversion. Round to the nearest hundredth if necessary Complete the conversion. Round to the nearest hundredth if necessary. 6 L ≈ __ pt A. 12.68 B. 6.34 C. 2.84 D. 1.58 Five Minute Check 3

Complete the conversion. Round to the nearest hundredth if necessary Complete the conversion. Round to the nearest hundredth if necessary. 120 lb ≈ __ kg A. 4.23 B. 26.43 C. 54.48 D. 264.32 Five Minute Check 4

Students created a car that moved using a mousetrap Students created a car that moved using a mousetrap. Julia, Chris, Ben, and Anne each ran a test trial. The table shows each of their measurements. Which of the following shows the correct order of the distances, from least to greatest? A. 684 cm, 300 in., 8 m, 28 ft B. 8 m, 28 ft, 300 in., 684 cm C. 300 in., 8 m, 684 cm, 28 ft D. 28 ft, 8 m, 300 in., 684 cm Five Minute Check 5