Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Standard 6.M.2.1 6.M.2.3 6.M.2.4 Obj # Objective Description 1 Use and estimate Metric (SI) measurement units and use tools for length, volume, weight (mass), temperature, time 6.M.2.1 2 6.M.2.1 6.M.2.3 6.M.2.4 3 6.M.2.1 4 6.M.2.1 5 7 Use dimensional analysis to convert between metric (SI) units for length, volume, weight, Use and estimate English Customary System measurement units and use tools for length, volume, weight, temperature Use dimensional analysis to convert between English Customary Units Use dimensional analysis to convert between English Customary Units and Metric (SI) Units Write an ACE paragraph Key Points Length and perimeter o Meters—ruler, meter stick Volume o Liters—graduated cylinders, beakers Weight/mass o Gram—Triple beam balance Temperature o Celsius and Kelvin--Thermometer Time o Seconds, minutes, hours, days, years— stopwatch milli-, centi-, deci-, deka-, Hecto-, KiloTeaspoon, Tablespoon, Cup, Pint, Quart, Gallon Inch, foot, yard, mile Ounce, pound, ton Cup, Pint, Quart, Gallon Inch, foot, yard, mile Ounce, pound, ton Length Volume Weight Temperature (not dimensional analysis) *see ACE+ rubric Standards 6.M.2.1 Apply various measurement techniques and tools, units of measure, and degrees of accuracy to find accurate rational number representations for length, liquid, weight, perimeter, temperature, and time. 6.M.2.3 Select and use strategies to estimate measurements including angle measure and capacity. 6.M.2.4Select and justify the selection of measurement tools, units of measure, and degrees of accuracy appropriate to the given situation. Key Questions For Measurement Unit What units do scientists use to measure length? What scientific tool do scientists use to measure length? What is the definition of mass? What units do scientists use to measure mass? What scientific tool do scientists use to measure mass? What is the definition of volume? What units do scientists use to measure volume? What scientific tool do scientists use to measure volume? How do you properly measure length using a ruler? How do you properly measure mass using a triple beam balance? How do you properly measure volume using a graduated cylinder? When should you use a particular metric unit to measure length, mass, or volume? (i.e. when to use milligrams instead of grams or meters instead of centimeters) 1 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ CONVERSION CHEAT SHEET Time Conversions 1 minute (min) = 60 seconds (s) 1 hour (h) = 60 minutes (min) 1 day = 24 hours 2 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Vocabulary Words: Word REVIEW: length NEW: Mass, weight, perimeter, volume, temperature Mass Weight Length Draw the tool scientists use to measure A scale measures weight. A ruler measures length. Sentence A triple-beam balance measures mass. Definition Mass is how much material something is made of The force that gravity pulls on the mass. Weight is related to mass. Length is a distance. Word Perimeter Volume Temperature A measuring tape measures perimeter. Perimeter is the distance around something. A graduated cylinder measures volume. Volume is the amount of space something takes up. A thermometer measures temperature. The hotness or coldness of something. Draw the tool scientists use to measure Sentence Definition Metric Key Question: Why should the U.S. change to the metric system? Or not? SI Units September 6, 2010, http://www.pfscience.com/2010/09/si-units/ 3 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ In a science lab, we measure everything using SI units. What is SI? SI stands for the International System of Units, also just called the metric system. We say “SI” because we abbreviated SI from the French Système International d'unités. In the United States, most people still use the English Units (inches, Fahrenheit, etc). Students often ask why we don’t just stick to using English measurements if everyone already knows how to use them. Actually there is nothing “wrong” with using English measurements except that the entire science community and most of the world uses the SI measurements. It makes communicating about scientific work more difficult if the units are not the same. Why would scientists choose the SI measurements? It is because SI units are based on the number 10. For example… Ten millimeters makes one centimeter. Ten deciliters make one liter. One thousand grams makes one kilogram. Everything is divisible by the number 10, so to convert from one unit to another, it is simply a matter of moving the decimal place instead of having to do math calculations. The SI units are actually a more simple and elegant way of measuring.This is why you have to learn SI units, not because science teachers think it is fun to torture students. :-) SI Units you should know: Length = meters (m) Mass = kilograms (kg) and grams (g) Time = second (s) Temperature = degree Celcius (°C) System International (SI), or Metric Measurements Measurement Tool Length Ruler, meter stick Metric Key Question: Why should the U.S. change to the metric system? Or not? Units Kilometers (km) Meters (m) Estimate The height of a doorknob is about 1 meter. 4 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Volume Mass Graduated cylinder, beaker Triple-beam balance Temperature Thermometer Time Stopwatch Centimeters (cm) Millimeters (mm) Liters (l) Milliliters (ml) Grams (g) Kilograms (kg) Degrees Celsius ( C) 1 liter is about the size of a large Gatorade bottle A baseball bat weighs about 1 kilogram 37 C is human body temp 20 C is room temp 0 C water freezes 100 C water boils Seconds (s) Minutes (min) Hours (h) The Metric Staircase: King Henry Died, Drinking Chocolate Milk Metric Key Question: Why should the U.S. change to the metric system? Or not? 5 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Refrain: Oh, metric. You’re the one. You make measuring way more fun. Based on ten. Let’s start again And go the metric way. Once there was a bunch of giants Kilo was their name. They were all so huge and tall And no two were the same. Now, Kilogram, he weighed a lot Kilometer was long. Kiloliter was big and wet. Each one a thousand strong. There also were some tiny elves Who had the name of Milli. One one thousandth—they’re so small They’re just tiny and silly! Now milligrams, they don’t weigh much. And millimeters are short. A milliliter’s a tiny drop Of liquid they report. So, grams you may have noticed Are things you can weigh. Length is meter, liquid’s liter. That’s the metric way. Math Skills Review: Texas A&M University (paraphrased) 6 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Dimensional Analysis is a problem-solving method that uses the fact that any number can be multiplied by one without changing its value. It is a useful technique. Conversion factors may be made from any two terms that describe the same "amounts" of what we are interested in. For example, we know that 1000 millimeters = 1 meter We can make two conversion factors from this information: Write two conversion factors, if you know that 1 hour = 60 minutes. 1). 2.) Now, we can solve some problems. Set up each problem by: 1. Writing down what you need to find with a question mark. 2. Then set it equal to the information that you are given. 3. The problem is solved by multiplying by the conversion factors so that only the desired units are present at the end. (1) How many millimeters are in 6 meters? 1. ? mm 2. ?mm = 6 m 3. (see below) How many millimeters are in 2 meters? (show your work) (2) How many meters are there in 2500 mm 7 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ You may use dimensional analysis for any conversion (even with English Customary Units), as long as you know the conversion factor. (3) If you know that 4 quarts = 1 gallon, then how many quarts is there in 9 gallons? You can also string many unit factors together. (4) How many seconds are in 2.0 years? (hint: 365 days = 1 year; 24 hr = 1 day; 60 minutes =1 hr; 60 seconds = 1 min) How many seconds are there in one day? (show your work) (5). Convert 50.0 mL to liters. (This is a very common conversion 1 Liter = 1000 milliliters.) Convert 2 quarts to cups (1 pint = 2 cups; 1 quart = 2 pints) English Customary Measurements Measurement Tool Length Ruler, yard stick Units Miles (mi) Yards (yd) Estimate Your foot is about 1 foot long. 8 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Volume Measuring cups, spoons, gallons Weight Scale Temperature Thermometer Time Stopwatch Feet (ft) Inches (in.) Gallons (g) Quarts (qt) Pints (pt) Cups (c) Pounds (lb) Ounces (oz) Ton (T) Degrees Fahrenheit ( F) A large jug of milk is one gallon 98.6 F is human body temp 68 F is room temp 32 F water freezes 212 F water boils Seconds (s) Minutes (min) Hours (h) Customary Conversions (you must memorize these): Length: 12 inches = 3 feet = 5280 feet = 1 foot 1 yard 1 mile Volume: 8 fluid ounces = 1 cup 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon Weight: 16 ounces = 2000 pounds = 1 pound 1 ton Time: 60 seconds = 24 hours = 365 days = 1 hour 1 day 1 year How about how much does a gallon of water weigh (in pounds)? 8 pounds How do I read a ruler? http://www.onlineconversion.com/faq_05.htm 9 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Terminology A ruler used to be called a rule, and rulers would be rules. Today, the more commonly found term is ruler. The dictionary defines both the term rule and ruler, so either can be used, and for this document I will only use the term ruler. Metric Rulers Metric rulers are fairly easy to read. They deal with centimeters and millimeters only. You wont have to worry much about fractions. Take a look at the following Metric Ruler. The larger lines with numbers are centimeters, and the smallest lines are millimeters. Since millimeters are 1/10th of a centimeter, if you measure 7 marks after a centimeter, it is 1.7 centimeters long. English Rulers English rulers, are much more difficult to read. Mostly because they deal with fractions, which are a bit more dificult to learn. Take a look at the following English Rulers. A ruler marked in 8ths. Every mark is 1/8th of an inch. A ruler marked in 16ths. Every mark is 1/16th of an inch. What is the length of the square below? (to the nearest 0.1 cm and to the neareast 1/8 inch) _____3.9__________cm_____1 ½ _____inches inches How to Use a Triple Beam Balance September 7, 2010 By Science Teacher Leave a Comment 10 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ http://www.pfscience.com/2010/09/how-to-use-a-triple-beam-balance/ The triple beam balance is one of the most basic pieces of lab equipment. It measures smaller mass quantities, and by that I mean something that you could pick up with your hands without a whole lot of effort. There is a limit to how much the triple beam balance can measure. The triple beam balance is simple to use. Even still, students often make mistakes both in using the balance and in reading measurements. Measurement unit: gram 1 gram = 1/1000 kilogram To use the triple beam balance: 1. Tare the balance first, which means to set the balance to “zero.” is also called “zeroing” the balance. Scoot the riders (the blocks that slide) from of the three beams to the farthest left before doing anything else. Look at the pointer on the scale. If it is not lined up zero, then turn the adjustment knob just beneath the pan until the pointer is even the line. This all each first with with Turn the adjustment knob until the pointer lines up with the 0 on the scale. This scale still needs more adjustment. 2. Place the specimen to mass on center of the pan. 3. Starting with the largest capacity beam (500 g), move the 500 g rider to the right to the first notch which causes the pointer to drop, then, move it back one notch, causing the pointer to rise. 4. Repeat procedure with the 100 g rider. 5. Slide the 10 g rider to the position which brings the pointer to rest at zero (pointer even with line) How to read the triple beam balance: Add up each of the numbers on the rider pointers, and that is the mass of the specimen (in grams). 11 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Specimen mass = 0 g + 100 g + 2.2 g = 102.2 g What is the mass of the following specimen?________________536.8g___________________________________ Measurement Test Study Guide: 12 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ Objective 1: Use and estimate Metric (SI) measurement units, and use tools for length, volume, weight (mass), temperature, time Name the tool(s) and units you would use to measure the following with the metric system - length - volume - mass - time - temperature 1. Length a. Tool(s):____ruler, meter stick___________________________________ b. Unit(s): meters 2. Volume a. Tool(s):__Graduated cylinder, beaker___________________________ b. Unit(s):________________________Liters________________________ 3. Mass a. Tool(s):__________Triple-beam balance____________________________ b. Unit(s):___________grams, kilograms______________________________ 4. Time a. Tool(s):________stopwatch, clock________________________________ b. Unit(s):___________Seconds, minutes, hours, days, weeks, years,____ 5. Temperature a. Tool(s):_________Thermometer_________________________________ b. Unit(s):__________Degrees celsius______________________________ What is the mass of the object on this triple-beam balance (grams)? (6) The mass is ___102.2________g. How wide is coin (in 13 Measurement—KEY Mr. Switzer Name: _____________________________ Date: __________________________ Hour____________________ centimeters)? (7) The coin is _____3____________cm wide. Write the appropriate metric unit to use for measuring the following: -length of a car -length of a pencil -distance from New York to Kentucky Name one thing that weighs about one gram. Name the following temperatures in Celsius -water boiling -water freezing -room temperature 8. You would measure the length of a car in ______meters______________________ 9. You would measure the length of a pencil in __________centimeters_________________ 10. You would measure the distance from New York to Kentucky in _______kilometers_______________. 11. One dollar bill, one paperclip, one small thumb tac 12. Water boils at ________100 Degrees Celsius_______________________________ 13. Water freezes at_________0 degrees celsius_____________________________ 14. Room Temperature is about _____________20 degrees Celsius________________ 14 Measurement “Fight Apathy” Name: Hour: _______________ Mr. Switzer Date: ________________ Objective 2: Use dimensional analysis to convert between metric (SI) units for length, volume, weight (mass) 4500 milliliters is how many Liters? Example: 2.5 meters is how many centimeters? (show your work) (15). 2 kilograms is how many grams? (show your work) (16). 250 cm 2000 g Objective 3: Use and estimate English Customary System measurement units and use tools for length, volume, weight, temperature Name the units you would 17. Length use to measure the a. Unit(s):___________Inches, feet, yards, miles_____________ following with the English Customary System 18. Volume - length a. Unit(s):__________cups, pints, quarts, gallons,_____________ - volume - Weight 19. Weight - temperature a. Unit(s):________Pounds, ounces, tons___________________ Circle the correct unit that you would use to measure the following. 20. Temperature a. Unit(s):_________Degrees Fahrenheit____________________ 21. To measure the volume of gasoline in your car’s gas tank: - Gallons, Fluid Ounces, cups, teaspoons 22. To measure the width of a book: - Inches, feet , miles 23. To measure the weight of a bag of chips from the vending machine - Ounces, pounds, tons 15 Measurement “Fight Apathy” Name: Hour: _______________ Mr. Switzer Date: ________________ About how wide is the pyramid at its widest part? (note: write your answer to the nearest half inch). 24. Estimate the weight of a watermelon—circle the correct answer. At what temperature (Fahrenheit) does water freeze and boil? inches wide. The pyramid is __1 1/2_______________ 25. A watermelon weight about - 9 pounds, 9 ounces, 9 grams, 9 tons 26. Water freezes at _____32 Degrees Fahrenheit___________________. 28. Water boils at ________212 Degrees Fahrenheit_________________. Objective 4: Use dimensional analysis to convert between English Customary Units 24 ounces is how many pounds? (use the example above #15 to review dimensional analysis) 3 feet is how many inches? 29.) 1.5 pounds 30.) 36 inches 16 Measurement “Fight Apathy” Name: Hour: _______________ Mr. Switzer Date: ________________ Objective 5: Use dimensional analysis to convert between English Customary Units and Metric (SI) Units What is 0 degrees Celsius in Fahrenheit? 31. 32 Degrees Fahrenheit Convert 3 pounds to GRAMS (hint: 1 pound = 0.45 kilograms and 1 kilogram = 1000 grams) 32. The correct answer for 5 gallons converted to liters is: (hint: there is 3.8 liters in one gallon) 33. 1360.6 gram7 18.9 Liters 17