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Name:_______________________________ 6 th Grade Math- Unit 8

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##### Name:_______________________________ 6 th Grade Math- Unit 8

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**Name:_______________________________**6th Grade Math- Unit 8 Measurement: Capacity, Weight, Time, Temperature This unit bundles student expectations that address capacity, weight, time, temperature, and volume to extend student understanding of measurement. Prior to this unit, in Grade 5 Unit 09, students performed simple conversions within the same measurement system (SI (metric) or customary); connected models for perimeter, area, and volume with their respective formulas; and solved problems involving changes in temperature and elapsed time. In Grade 6 Unit 01, students were introduced to integers which were identified in real-life situations, articulated using quantifying descriptors, and expressed in a numerical expression. In Grade 6 Unit 07, students explored measurement relationships within formulas for perimeter, area, and circumference. During this unit, students continue to develop important aspects of measurement, which include standard measurement conversions, capacity, weight, and volume. In addition, students further their initial understanding of measurements and integers to represent relative changes or values within the context of time and temperature. Students continue the study of time from Grade 5 by determining elapsed time, a beginning or ending time, and conversions of second, minutes, and hours. After this unit, in Grade 7 Unit 08, students will estimate measurements and solve application problems involving volume of prisms and cylinders, as well as transition to a simplified formula for volume. ------------------------------------------------------------------------------------------------------------------------------------------------------ 6.4B: The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes. The student is expected to: Use tables of data to generate formulas representing relationships involving perimeter and area. ------------------------------------------------------------------------------------------------------------------------------------------------------ 6.8B: The student solves application problems involving estimation and measurement of length, and area. The student is expected to: Select and use appropriate units, tools, or formulas to measure and to solve problems involving length and area. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 6.8D: The student solves application problems involving estimation and measurement of length, and area. The student is expected to: Convert measures within the same measurement system (customary and metric) based on relationships between units.**Metric System**What is the Metric System?: The Metric System is a system for measuring. Three main units of measurement: 1.meter for lengthAbbreviation: m 2.gram for massAbbreviation: g 3.liter for capacityAbbreviation:L Temperature is measured in:degrees Celsius Abbreviation: What countries use the Metric System?: All countries except the United States of America, Liberia, and Burma use the Metric System.**Benchmarks**Within each unit of measurement in the Metric System, there are sevendifferent varying sizes. Each size has a different prefixfollowed by either meter, liter, or gram. Below are some of the most commonly used units of measurement: Meter Liter Gram**Conversion**How to convert with the units of length: K H D U D C M Step 1: Place decimal to the right of the beginning unit. Step 2: Move the decimal left or right stopping on the right of the desired unit. Be sure to count how many places you move! Examples: 4.54 km = 454,ooo cm 3 cL = 0.03 L Memory Aid to remember order: King Henry Drank Up Dark Chocolate Milk**Customary System**What is the Customary System?: The customary measurement system is the system of measurement in the United States. What countries use the Customary System?: The United States of America, Liberia, and Burma use the Customary System. Temperature is measured in: Fahrenheit Abbreviation: Length Volume Weight Gallon Half Gallon OR 2 Quarts Quart Pint Cup**Conversion**How to convert in the customary system: Set up a proportion! The first ratio should be what you know from the problem. The second ratio should be what you know from the Math Chart. Example: 56 ft = _________ in. = Set up the proportion 56 . 12 = x . 1 Cross multiply 675 = x . 1 675 ÷ 1 = 675 Divide 56 ft = 675 in.**1) 4:23 P.M. to 11:55 A.M.18 hr, 32 min**• 2) 9:20 A.M. to 5:17 P.M. 7 hr, 57 min • 3) 10:30 P.M. to 1:43 P.M. 15 hr, 13 min • 4) 1:45 A.M. to 9:32 A.M. 1 day, 7 hr, 47 min • Toni left at 6:45 A.M. to go surfing. It takes 1 hour and 14 minutes to get to the beach. She surfed for 3 hours and 5 minutes, took a half hour lunch break, then surfed another 257 minutes before heading home. How long was Toni away from her home? • 10 hr, 20 min • What time will Toni arrive back at home? • 5:05 P.M. • 7) James left for a trip at 10:35 A.M. on January 3rd and returned on March 19th at 1:17 P.M. What is the total time James was away on his trip? (NOT in a leap year) • 75 Days, 2 Hours, 42 Minutes • 8) Jessica took 4 hours and 39 minutes to complete her test. Sarah took 9 hours and 5 minutes to complete her test. Jonathan took 2 hours and 59 minutes to complete his test. Buck took 1 hour and 17 minutes to complete his test. How much longer did Jessica take to complete her test than Jonathan? • 1 hr, 40 min • Geri worked on her painting this morning from 10:15 A.M. to 12:32 P.M., then again in the afternoon from 4:45 P.M. to 6:30 P.M. How much total time did she spend working on her painting? • 4 hr, 2 min