Converting Units of Measure Measurement

Transcription

1 Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual problems. Student/Class Goal Students will use measurement units to solve problems and convert between measurement systems. Time Frame 4 hours Standard Use Math to Solve Problems and Communicate NRS EFL 6 Components of Performance (COPs) Understand, interpret, and work with pictures, numbers, and symbolic information. Apply knowledge of mathematical concepts and procedures to figure out how to answer a question, solve a problem, make a prediction, or carry out a task that has a mathematical dimension. Define and select data to be used in solving the problem. Determine the degree of precision required by the situation. Solve problem using appropriate quantitative procedures and verify that the results are reasonable. Communicate results using a variety of mathematical representations, including graphs, charts, tables, and algebraic models. Activity Addresses Benchmarks (content) M.6.12, M.6.13, M.6.14, M.6.27, M.6.34, M.6.35 Activity Addresses COPs (process) Students will understand when to use each unit of measurement. Students will use problem solving skills to know what unit that their answer should be in. Students will the correct conversion factors to use when solving problems. Students round their answers to the nearest hundredth when appropriate. Students will label their answers with the appropriate unit and check over their work to verify their answer. Students will make a table to list all of the conversion factors they might need. Materials Measurement Unit Worksheets Measurement Worksheets Learner Prior Knowledge Adding, Subtracting, Multiplying, and Dividing Integers, Decimals, and Fractions Using measurement systems Problem Solving Skills Instructional Activities Step 1 Review different units of measure and when to use each one. Ask students which unit of measure you would use to find : Length of a pencil? Distance from home plate to 2 nd base? Distance between two cities? Time it takes to write your name? Time it takes to write a paragraph? Time it takes to take GED test? Time it takes to complete a college class? You do not have to ask these exact questions as long as you are making sure that students know what unit of measure is appropriate for different situations. Step 2 Review how to round decimals to different places. Also discuss the difference between exact and

2 approximate values. For example, a fraction is an exact value and a rounded decimal is an approximate value. Step 3 Teach students basic conversion factors. Teach students how to convert between inches, feet, yards, and miles (Customary units). Teach students how to convert between millimeters, centimeters, decimeters, meters, decameters, and kilometers (Metric units). Teach students how to convert between customary units and metric units. Teach students how to convert between seconds, minutes, hours, and days. Teach students how to convert between pounds, ounces, cups, pints, quarts, and gallons. Step 4 In a group, or with a partner, students will practice converting between different units of measure. Step 5 As a class, use units of measure to solve contextual problems. Label answers with the appropriate unit of measure. Step 6 Have students work individually on solving word problems that involve units of measure. Assessment/Evidence (based on outcome) Informal assessment by monitoring group/partner discussion and work. Formally check students individual work for process and accuracy. Assign additional practice if necessary. Teacher Reflection/Lesson Evaluation Not yet completed. Next Steps

3 Common Weights and Measures Length Metric System 1 millimeter = 1/1,000 meter 1 centimeter = 1/100 meter 1 decimeter = 1/10 meter 1 meter (basic unit of length) 1 dekameter = 10 meters 1 kilometer = 1,000 meters American and British Units 1 inch = 1/36 yard = 1/12 foot 1 foot = 1/3 yard 1 yard (basic unit of length) 1 mile = 1,760 yards = 5,280 feet Conversion Factors 1 centimeter = 0.39 inch 1 inch = 2.54 centimeters 1 meter = inches 1 foot = meter 1 meter = 3.28 feet 1 yard = meter 1 meter = yards 1 kilometer = 0.62 mile 1 mile = kilometers Volume and Capacity (Liquid and Dry) Metric System 1 milliliter = 1/1,000 liter 1 centiliter = 1/100 liter 1 deciliter = 1/10 liter 1 dekaliter = 10 liters 1 hectoliter = 100 liters

4 Conversion Factors 1 milliliter = fluid ounce 1 fluid ounce = 29.6 milliliters 1 U.S. quart = liter 1 liter = 1.06 U.S. quarts 1 U.S. gallon = 3.8 liters

5 Measuring Worksheet 3 Convert the measuring units as indicated. 1a. 60 in = ft 1b. 132 in = ft 2a. 36 ft = yd 2b. 24 ft = yd 3a. 4 ft = in 3b. 27 ft = yd 4a. 2 yd = ft 4b. 30 ft = yd 5a. 5 yd = ft 5b. 8 ft = in 6a. 144 in = ft 6b. 72 in = ft 7a. 7 ft = in 7b. 10 ft = in 8a. 108 in = ft 8b. 33 ft = yd 9a. 3 ft = in 9b. 6 yd = ft 10a. 3 ft = yd 10b. 21 ft = yd

6 Answer Key for Measuring Worksheet 3 1a. 5 ft 1b. 11 ft 2a. 12 yd 2b. 8 yd 3a. 48 in 3b. 9 yd 4a. 6 ft 4b. 10 yd 5a. 15 ft 5b. 96 in 6a. 12 ft 6b. 6 ft 7a. 84 in 7b. 120 in 8a. 9 ft 8b. 11 yd 9a. 36 in 9b. 18 ft 10a. 1 yd 10b. 7 yd

7 Measuring Worksheet 4 Convert the measuring units as indicated. 1a ft = mi 1b ft = mi 2a yd = mi 2b. 5 mi = ft 3a. 2 mi = yd 3b yd = mi 4a. 4 mi = yd 4b. 1 mi = ft 5a. 1 mi = yd 5b ft = mi 6a. 4 mi = ft 6b. 4 mi = ft 7a. 4 mi = yd 7b. 3 mi = yd 8a. 5 mi = ft 8b yd = mi 9a. 4 mi = ft 9b ft = mi 10a. 5 mi = yd 10b yd = mi

8 Answer Key for Measuring Worksheet 4 1a. 2 mi 1b. 4 mi 2a. 5 mi 2b ft 3a yd 3b. 3 mi 4a yd 4b ft 5a yd 5b. 3 mi 6a ft 6b ft 7a yd 7b yd 8a ft 8b. 5 mi 9a ft 9b. 3 mi 10a yd 10b. 4 mi

9 Measuring Worksheet 9 Convert the measuring units as indicated. 1a mi = yd 1b yd = mi 2a yd = mi 2b yd = mi 3a ft = mi 3b. 0.5 mi = yd 4a ft = mi 4b yd = mi 5a mi = ft 5b. 220 yd = mi 6a ft = mi 6b mi = ft 7a mi = ft 7b ft = mi 8a mi = yd 8b mi = yd 9a mi = yd 9b mi = yd 10a yd = mi 10b mi = yd

10 Answer Key for Measuring Worksheet 9 1a yd 1b mi 2a mi 2b mi 3a. 1.5 mi 3b. 880 yd 4a. 4 mi 4b mi 5a ft 5b mi 6a mi 6b ft 7a ft 7b mi 8a yd 8b yd 9a yd 9b yd 10a. 5 mi 10b yd

11 Measuring Worksheet 5 Convert the measuring units as indicated. 1a. 5 pt = C 1b. 5 gal = qt 2a. 6 gal = qt 2b. 32 qt = gal 3a. 8 oz = C 3b. 16 C = pt 4a. 6 C = pt 4b. 6 C = oz 5a. 8 qt = gal 5b. 7 gal = qt 6a. 12 qt = gal 6b. 6 pt = C 7a. 3 C = oz 7b. 8 C = oz 8a. 5 C = oz 8b. 14 C = pt 9a. 1 pt = C 9b. 16 oz = C 10a. 4 C = pt 10b. 32 oz = C

12 Answer Key for Measuring Worksheet 5 1a. 10 C 1b. 20 qt 2a. 24 qt 2b. 8 gal 3a. 1 C 3b. 8 pt 4a. 3 pt 4b. 48 oz 5a. 2 gal 5b. 28 qt 6a. 3 gal 6b. 12 C 7a. 24 oz 7b. 64 oz 8a. 40 oz 8b. 7 pt 9a. 2 C 9b. 2 C 10a. 2 pt 10b. 4 C

13 Measuring Worksheet 10 Convert the measuring units as indicated. 1a. 500 cm = m 1b. 10 km = m 2a. 800 cm = m 2b m = km 3a. 9 cm = mm 3b. 6 cm = mm 4a. 8 km = m 4b m = km 5a m = km 5b cm = m 6a. 80 mm = cm 6b m = km 7a. 1 m = cm 7b. 10 cm = mm 8a. 2 cm = mm 8b m = km 9a. 300 cm = m 9b. 200 cm = m 10a. 900 cm = m 10b. 30 mm = cm

14 Answer Key for Measuring Worksheet 10 1a. 5 m 1b m 2a. 8 m 2b. 3 km 3a. 90 mm 3b. 60 mm 4a m 4b. 4 km 5a. 7 km 5b. 10 m 6a. 8 cm 6b. 5 km 7a. 100 cm 7b. 100 mm 8a. 20 mm 8b. 2 km 9a. 3 m 9b. 2 m 10a. 9 m 10b. 3 cm

15 Measuring Worksheet 11 Convert the measuring units as indicated. 1a m = km 1b m = km 2a. 920 m = km 2b. 139 m = km 3a m = km 3b. 957 cm = m 4a. 342 mm = cm 4b. 400 cm = m 5a. 827 cm = m 5b m = cm 6a km = m 6b. 253 cm = m 7a m = cm 7b. 720 mm = cm 8a km = m 8b. 594 mm = cm 9a km = m 9b m = cm 10a m = cm 10b m = cm

16 Answer Key for Measuring Worksheet 11 1a km 1b km 2a km 2b km 3a km 3b m 4a cm 4b. 4 m 5a m 5b. 991 cm 6a m 6b m 7a. 298 cm 7b. 72 cm 8a m 8b cm 9a. 245 m 9b. 946 cm 10a. 122 cm 10b. 775 cm

17 Measuring Worksheet 12 Convert the measuring units as indicated. 1a g = kg 1b. 9 L = ml 2a g = kg 2b g = kg 3a. 10 L = ml 3b ml = L 4a. 4 L = ml 4b. 4 kg = g 5a. 10 kg = g 5b. 1 L = ml 6a ml = L 6b g = kg 7a. 3 kg = g 7b. 7 kg = g 8a ml = L 8b g = kg 9a ml = L 9b. 5 kg = g 10a ml = L 10b ml = L

18 Answer Key for Measuring Worksheet 12 1a. 2 kg 1b ml 2a. 1 kg 2b. 8 kg 3a ml 3b. 6 L 4a ml 4b g 5a g 5b ml 6a. 5 L 6b. 6 kg 7a g 7b g 8a. 3 L 8b. 9 kg 9a. 2 L 9b g 10a. 7 L 10b. 8 L

19 Measuring Worksheet 13 Convert the measuring units as indicated. 1a kg = g 1b kg = g 2a kg = g 2b L = ml 3a kg = g 3b g = kg 4a L = ml 4b L = ml 5a. 404 ml = L 5b L = ml 6a ml = L 6b. 118 g = kg 7a g = kg 7b ml = L 8a g = kg 8b g = kg 9a kg = g 9b g = kg 10a g = kg 10b g = kg

20 Answer Key for Measuring Worksheet 13 1a. 225 g 1b g 2a g 2b ml 3a g 3b. 5.6 kg 4a. 210 ml 4b ml 5a L 5b ml 6a L 6b kg 7a kg 7b L 8a kg 8b kg 9a g 9b kg 10a kg 10b kg

21 Measuring Worksheet 15 Convert the measuring units as indicated. 1a gal = qt 1b ft = mi 1c gal = oz 2a km = m 2b. 24 oz = qt 2c. 5 C = oz 3a. 103 in = ft 3b. 3 pt = qt 3c. 72 oz = qt 4a. 42 oz = gal 4b. 3.5 qt = C 4c. 5.8 T = lb 5a. 1.3 T = lb 5b C = oz 5c lb = oz 6a m = km 6b lb = T 6c qt = oz 7a. 12 C = qt 7b. 57 ft = yd 7c. 7 pt = qt 8a ft = mi 8b. 33 ft = yd 8c m = km 9a. 3 gal = qt 9b gal = qt 9c C = oz 10a. 750 cm = m 10b. 312 oz = gal 10c L = ml 11a yd = ft 11b mi = yd 11c yd = mi 12a L = 12b C = oz 12c. 14 in = ft

22 ml 13a. 4 C = pt 13b mi = yd 13c. 36 oz = qt 14a. 49 oz = C 14b. 12 C = pt 14c. 53 in = ft 15a. 2 C = oz 15b mi = ft 15c km = m 16a. 4.5 T = lb 16b. 4 pt = qt 16c. 2.5 qt = pt 17a. 15 yd = ft 17b. 48 oz = C 17c m = cm 18a lb = oz 18b km = m 18c. 2.5 gal = qt 19a m = cm 19b. 201 oz = gal 19c lb = T 20a C = oz 20b cm = mm 20c L = ml

23 Answer Key for Measuring Worksheet 15 1a. 9 qt 1b mi 1c. 171 oz 2a m 2b qt 2c. 40 oz 3a ft 3b. 1.5 qt 3c qt 4a gal 4b. 14 C 4c lb 5a lb 5b. 47 oz 5c. 36 oz 6a km 6b T 6c. 28 oz 7a. 3 qt 7b. 19 yd 7c. 3.5 qt 8a mi 8b. 11 yd 8c km 9a. 12 qt 9b. 19 qt 9c. 29 oz 10a. 7.5 m 10b gal 10c ml 11a. 65 ft 11b yd 11c mi 12a ml 12b. 53 oz 12c ft 13a. 2 pt 13b. 440 yd 13c qt 14a C 14b. 6 pt 14c ft 15a. 16 oz 15b ft 15c m 16a lb 16b. 2 qt 16c. 5 pt 17a. 45 ft 17b. 6 C 17c. 622 cm 18a. 74 oz 18b m 18c. 10 qt 19a. 76 cm 19b gal 19c. 5.5 T 20a. 57 oz 20b. 532 mm 20c ml