DOCUMENT EESUME
ED 134 767 08 CE 009 771
AUTHOR Cooper, Gloria S., Ed.; hagisos, Joel H., Ed. TITLE Metrics for Blueprint Reading. INSTITUTION Ohio State Univ., Columbus. Center forVocational Educaticn. SPONS AGENCY Bureau of Occupational and Adult Education(DHEW/OE), Washington, D.C. PUB DATE 76 CCNTRACT OEC-0-74-9335 NOTE 59p..; For a related document see CE 009 736-790
ELRS PRICE EF-$0.83 HC-$3.50 Plus Pbstage. DESCRIPTCES *Blueprints; *Curriculum;.Instructional Materials; learning Activities; Measurement Instruments;*Metric System; Secondary Education; TeachingTechniques; *Trade and Industrial Education; Units f Study (Subject Fields) ;Vocational Education
ABSTRACT Desdgned to meet the job-related metric measurement needs of blueprint reading students, thisinstructional package is one of eight for the manufacturingoccupations cluster, part of a set of 55 packages for metric instruction indifferent occupations. The package is intended for students who already knowthe owcupational terminology, measurement terms, and tools currentlyin use. Each of . the five units in this.instructionll packagecontainsperformance objectives, learning activities, andsupporting'information in the fort of text, exercises, and tables. Inaddition, suggested teaching techniques are itcluded. At the back of the package are objective-based evaluation items, a page of answers tothe exercises and tests, a list of metric materials neededfor the activities, references, and' a list suppliers. The material is designed to c,Qcompodate a variety of individual teaching andlearning styles, e.g., independent study, small group, orwhole-class activity. Exercises are intended to faciiitate experienceswith measurement instrutents, tools, and devices used in this occupationand job-related tasks of estimating and measuring.Unit I,-a general intxoduction to the metric system of measurement,provides informal, hands-on experiences for the students. This unit enablesstudents to become familiar with the basic metric units, theirsymbols, and measurement instruments; encl.-todevelop a set of mental references for metric values. The metric system of notationalso is explained. Unit 2 provides the metric terms which are used inthis occupation and gives experience with occupationalmeasurement.tasks. Unit 3 focuses on jot-related metric equivalents andtheir relationships. Unit 4 provides experience with ecognizing and using metric instruments and tools in occupational measurementtasks. It also provides experier,ce in comparing metric and customarymeasurement instruments. U- is designed to give students practice in converting ous- y and metric measurements, askill considered useful during tiransition to metric in each occupation. (HD)
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3 TEACHING AND LEARNING
THE METRIC SYSTEM
This metric instructional package was designed to mee, job-related Unit 2 provides the metric terms which are used inthis occupation metric measurement needs of students. To use this package students and gives experience with occupational measurement tasks. should already know the occupational terminology, measurement terms, and tools currently in use. These materials were prepared with Unit 3 focuses on job-related metric equivalents and their relation- the help of expenenced vocational teachers, reviewed by experts, tested ships. in classrooms in different parts of the United States, and revised before provides experience with recognizing 'andusing metric distribution. Unit 4 instruments and toolS in occupational measurementlasks,It also pro- Each of the five units of instruction contains performance olio- vides experience in comparing metric and customary measurementin- tives, learning activities, and supporting information in the form of struments. text, exercises, and tables.In addition, suggested teaching techniques converting custom . are included. At the back of this package are objective-basedevaluation Unit 5 is designed to give students practice in items, a page of answers to the exercises and tests, a list of metric ary and metric measurements.Students should learn to "think metric" However, skill with materials needed for the activities, referenceand a list of suppliers. and avoid comparing customary and metric units. conversion tables will be useful during tne transition to metricin each occupation, Classroom experiences with this instructiOnal package suggest the following teaching-learning strategies: Using These Instructional Materials
of knowl- 1. Let the first experiences be informal to make learning the metric This package was designed to help students learn a core the job.The system fun. edge about the metric system which they will use on exercises facilitate experiences with measurement instruments,tools, Students Jearn better when metric units are compared to familiar 2. and devices used in this occupation and job-relatedtask', of estimating objects.Everyone should learn to "think metric." Comparing and measuring. metric units to customary units can be confusing. fl ,sil,ned to accommodate a 3. Students will learn quickly to estimate and measure in metric Units This instructional package alsO was
t.tyit. . Teachers are encour- by "doing." variety of individual teaching and learning aged to adapt these materials to their own clas,es.For example, the 4. Students should have experience with measuring activities before information sheets may be given to students for self-study.References getting too much information:'t may be used as supplemental resources.Exercises may be used in inde- pendent study, small groups, or whole-class activities.All of the 5. Move through the units in an order which emphiizes the sim- materials can be expanded by the teacher. plicity of the metric system (e.g., length to area to volume).
6. Teach one concept at ,a time to avoid overwhelming students with Gloria S Cooper too much material. Joel H.lagisos Editors . . Unit 1is a general introduction to the metric system of measure-
ment which provides informal, hands-on experiences for the students r In* publication was developed pursuant to corn,rxisoNos OEC.0.74,9335 with the This unit enables students to become familiar with the basic metric Bureau of Occupational and Adult Education, US. Dertment cf Health, Educa. expressed herein do not necessarily units, their symbols, and measurement instruments; and to develop a tion and Welfare. However, the opinions ?eflect the.,position Of policy of the U.S. Of fice ofEducation and no oflicial set of mental references for metric values. The metric system of nota- endorsement t:nf ,the U S Of lice of Educationshould be inferred, tion also is expldned.
4 UNIT OBJECTIVES
The student will demonstrate these skills for the Linear, Area, Volume or Capacity, Mass, ad Temperature Exercises, using the metric terms and measurement devices listed here.
SUGGESTED TEACHING SEQUENCE EXERCISES .
SKIIAS Linear Ares Volume or Ns:inlay %is Temperatute 1. These iitroductory exercises may require (pp. 3. 4) (pp. 5 . 6) (pp:7 .8) (pp, 9 .10) y IPA]) two or iree teaching periods for all five
areas of measurement. a Recognize and use thy millimetre (min) square cubic centi. gram (g) degree Celsius 3) unit and its symbol lor: centimetre metre (cm 1°C) 2. Exercises should be followed in the order centimetre (cm) (cm2) kilogram (kg) given to best show the relationship 2 Sdect, use, and reld the cubic metre
between length, area, and volume, appropriate measuring 4 met re (In) square instruments for: metre
1m2 ) litre (I) .3. Assemble the metric measuring devices . 3. State or show 1 (rules, tapes, scales, thermometers, and physicil reference for: millilitre (ml) measuring'containers) and objects to be
measured.* Estimate within 25c-, height, width, or the area of capacity of the Mass of objects the temperature of
of '.he actual messure length of objects a given surface containers in grams and kilo the sir or a liquid C 4. Set up the equipmenrat work stations grams for'use by the whole class or as individu-
alized resource activities, 5. Read ciirrectly metre stick, metric measurements a kilogram scale A Celsius thermometer.' tape measure, and on graduated and a gram scale 0
5. Have the students estimate, measure, and metric rulers volume measur . ing devices record using Exercises 1 through 5.
6. Present information on notation and make Table 1 available.
7. FolloW up With group discussion of RULES OF NOTATION
activities. 1. Symbols are not capitalized unless the unit is a proper name (mm not MM)4 "
2. Symbols are not followed by periods (m not m.).
3. Symbols are not followed by an s for plurals (25 g not 25 gs).
4, k space separates the numerals from the unit symbols (4 I not 41):*
*Other school departments may have devices which 5. Spaces, not commas, are used to separate large numbers into groups of three can be used, Metric suppliers are listed inthe reference digits (45 271 km-not 45,271 km), section. . k 6. A zero precedes the decimal point if the number is less than one (0,52 g not .52 g).
7. Litre and metre can be spelled either with an -re or -er ending.
THECINTER FOR VOCATIONAL EDUCATfON .....=.1..(.=1 Information Sheet 1 2
METRIC PIWIXES METRICUNITIS,SYMBOLS, AND REFERENTS
41111MPININPPIMIIIIIIIMW111 Multiple and Symbols' Useful Referents Prefixes Quantity Metric Unit Syr Ool Submultiples
m Thickness of diMe or paper 1 000 000 = 106 mega (mtriii) Length millimetre mm clip wire 1 000.103 kilo (gi'd) k centimetre cvi 'Width of paper clip 100 = 102 hecto (hala) ii mdre m Height of door about 2 m da 12.minute walking distance . . 10 = 101 deka (dekill kilometre km . - Base Unit 1 = 10° Area ,I,square Area of thii space . 2 centimetre cm ... 0.1 = 10-1 deci (den). q 0,01 =10-2 centi (a/n'th C
milli (nrilT) m ------.-----.2 0,001 : 10-3 square metre In Area of card table V
0,000001=10-6 micro (mTkr-o) A hectare ha Football field including sidelines .--,-- and end zones
millilitre ml Teaspoon is 5 ml Volume and Table 1-b Capacity A little more than 1 quart litre 1
cubic 3 centimetre cm Volume of this container Zr=7
...--.../
cubic metre m3 A little more than a cubic yard
Apple.seed about 10 mg, grain of Mass milligram mg salt, 1 mg
Nickel about 5 g gram g
Webster's Collegiatelictionary 0.:.11kilogram kg ' Til metric ton
. , .....(1 000 kilograms) t Volkswagen Beetle
Table 1-a THE CENTER FOR VOCATIONAL EDUCATION (lir ,
r 9 LINEAR MEASUkMENT,ACTIVITIES A oi 3,. Choose a partner tostan'd Me.tre, Centimetre, Millimetre at your side. Move apart so that you can put one end of a metre stick on your partner's shoulder and the other end on, I. Tg METliE (m) your shoulder, Look at the space between you, A. DEVELOP A FEELINb FOR THE SIZE OF A METRE
1. Pick up one of the metre THAT IS THE WIDTH OF &METRE! sticks and stand it up on the 'floor. Hold it in klace with one hand. Walk around the B. DEVELOP YOUR ABILITY TO ESTIMATE IN METRES stick, Now stand'next to the stick. With yo u! other Itiow you will improve your ability to estimate in metres. 1. hand, tOuch'yourseffivhere Remember where the length and height ofa metre was on your the top of the metre stick body.
corhes on you. , I For each of the following items:
THAT IS, HOW HIGH A METRE IS! Estimate the size of the items and write your estimate in'the ESTIMATE column. Measure the size withyour metre stick and write the anwer in the MEASUREMENT column.
Decide ho'w close your estimate was.to the actual measure. It 2 Hole 6ne arm our straight your estimate was within 25% of the actual measure you are a at shoulder height. Put "1144'1'c Marvel."
the metre stick along this , dim until thg etici hits the How Close end of your fingers. Where EstimateMeasurement Were You? is the other end of the (m) (m) metre stick? Touch your- 1. Height of door knob self at that end. from floor. M.=0
2. Height of dooi,
3. Length of table, THATIS HOW.LONG A NERE IS! 4. Width of table. WIM1M
Length of wall of this room.
.6. 'Distance from you to wall, THE 4ENTER FOR VOCATIONAL EDUCATION
Exercise 1 (coreinued on next page)
1. 4
THE MILLIMETRE (mm) II.THE CENTIMETRE (cm) centimetre. When a measurement is and There are 10 millimetres in one There dre 100 cent imetrecin nnp metre. lf there are 4 metre 2 centimetres and 5 millimetres, youwrite 25 mm [(2 x 10 mm) 400 cm 3 centimetres, you write403 cm 114 x 100 cm) + 3 cm = + 5 aim = 20 mm5 mm]. There are 1 000 mm in 1 m. + 3 cm].
SIZE OF A NIILLINETRE SIZE OF A CENTIMETRE A. DEVELOP A FEELING FOR THE A. DEVELOP :\ FEELING FOR THE
Using a ruler marked in m.',Iimetres, measure: width of yourthumbnail, 1, Hold the metric ruler against the mm How wide is it? cm 1. Thickness of a paper clip wire.
first joint to the end. mm 2. Measure your thumb from the 2. Thickness of your fingernail. cm mm 3, Width of your fingernail. width of your palm. Use the metric ruler to find the mm 4. Diameter (width)of a coin, cm mm 5. Diameter (thickness) of yourpencil. How long is it? 4, Measure your index or pointing finger. mm cm 6. Width of a postage stamp.
leasure your wrist with a tape measure.What is the distance around it? cm ESTIMATE IN NIILLIMETRES Use the tape measure to find yourwaist size. crn B. DEVELOP YOUR ABILITY TO
millimetres. For each of the TO ESTIMATE IS CENTBIETRES You are now ready ti ',!stimate in 8 DEVELOP YOUR ABILITY following items, follow the proceduresused for estimating in
metres. You are now ready to estimatin centimetres. For each of the How Close following item, follow the proceduresused for estimating in EstimateMeasurementWere You? metres. (mm) (mm) How Close Thickness of a EstimateNk,asurenntWere You'? (cm) (cm) nickel.
Length of a paper 2. Diameter lthickness) clip, of a bolt.
2. Diameter iwidthl '3, Length of a bolt. of a coin. 111011.1,0 4, Width of a sheet 3, Width of a of paper. Ilm, postage stamp. r11M1 5. Thickness of a board Length of a or desk top. .,01, pencd. ..m.. 6. Thickness of a 5. Width of a sheet button, of paper. , a.
Exercise 1 THE CENTER FON VOCATIONALEDUCATION
c A 13 5 AREA MEASUREMENT ACTIVITIES R. DEVELOP YOUR ABILITY TO ESTIMATE IN SQUARE CENTINETRES Square Centimetre, Square Metre
You are now ready to develop your ability to estimate in square centimetres.
WHEN YOU DESCRIBE THE AREA OF SOMETHING, YOU ARE SAYING HOW MANY SQUARES OF A GIVEN SIZE IT TAKES TO Remember thi: size of a square centimetre, For each of the COVER THE SURFACE. following iten, follow the procedures used for estimating in metres.
I. THE SQUARE CENTIMETRE (cm2 ) How Close EsthmteMeasurementWere You?
A. DEVELOP A FEELING FOR A SQUARE CENTIMETRE (C1112 ) cm)2
1. Take a clear plastic grid, or use the grid on page 6. 1. Index card. .1=1.M.1
2. Measure the length and width of one of these small 2. Book cover.
squares with a centimetre ruler, 3. Photograph,
4. Window pane or THAT IS ONE SQUARE CENTIMETRE! desk top.
3. Place your fingernail over the grid. About how many squares does it take to cover your fingernail?
C2111 il. THE SQUARE METRE (m2) 4. Place a coin over the grid. About how many squares
does it take to cover the coin9 crn2 A. DEVELOP A FEELING FOR A SQUARE METRE
5. Place a postage stamp over the grid. About how many squares does it take to cover the postage stamp' 1. Tape four metre sticks together to make a square which --111C2 is one metre long and one metre wide. Place an envelope over the grid. About how many 2. Hold the square up with one side on the floor to see how squares does it take to cover the envelope? big it is.
C2111 3. Place the square on the floor in a corner. Step back and Measure the length and width of the envelope in centi- look. See how much floor space it covers.
cm. metres. Length cm; width' 4. Place the square over a table tup or desk to see how Multiply to find the area in square centimetres. much space it covers.
cm x cm = cm2. How 5. Place the square against the bottom of a door. See how close are the answers you have in 6. and in 7.? much of the door it covers, How many squareg would it
take to cover the door? m2
THIS IS HOW BIG A SQUARE METRE IS!
THE CENTER FOR VOCATIONAL EDUCATION Exercise 2 (continued on next page)
14 15 6
B. DOELOP YOUR ABILITY TO ESTIMATE IN SQUARE CENTIMETRE GRID METRES
You are now ready to estimate in square metres. Follow the procedures used for estimating in metres.
How Clore EstimateNkasurementWere You?
(i12 ) (m2 )
Door. 1,..=11100
Full sheet of newspaper.
Chalkboard or bulletin board. I.M.110
I. Floor,
Wall. 11W ,11=6. Wall chart or poster. 111,
Side of file cabinet.
1
Exercise 2
16 11 7
VOLUME MEASUREMENT ACTIVITIES ...
Cubic Centimetre, Liire, Millilitre, Cubic Metre
I. THE CUBIC CENTIMETRE (cm )
B. DEVELOP YOUR ABILITY TO ESTIMATE IN CUBIC A. DEVELOP A FEELING FOR THE CUBIC CENTINITRE CENTIMETRES
1. Pick up a colored plastic cube. Measure its length, You are now ready to,develop yok-abilitY 0.éstimate
height, and width in centimetres. in cubic centimetres. .
THAT IS ONE CUBIC CENTIMETRE! Remember the size 'of a cubic centimetre. For each of the following items, use the procedures for estimating in 2. Find the volume of a plastic litre Lox. metres.
a. Place a ROW of cubes against the bottom of one side How Close of the box. How many cubes fit in the row? EstimateIviasurementWere You? (cm3 ) {C1113) b. Place another ROW of cubes agaii it an adjoining side , of the box. How many rows fit inside the box Index card file to make one layer of cubei?iMME box, .w ,M=1111.1ffill
How many cubes in each row? 2. Freezer container .11/1
w many cubes in the layer in the bottom of the 3. Paper clip box. ..IMMI1.011Mm, .=M=IMMIN.
)x? 4. Box of staples.
c. Stand a ROW of cubes up againstthe side of the box. Hot many LAYERS would fit in the box? II.THE LITRE (I) How many cilbes in each layer? A. DEVELOP A FEELING FOR A LITRE How many cubes fit in the box altogether?
THE VOLUME OF THE BOX IS CUBIC 1. Take a one litre beaker and fill it with water. CENT,',IETRES. 2. Pour the water into paper cups, filling each as full as you d. Measure the length, width, and height of the box in usually do, How many cups do you fill? centimetres. Length cm; width cm; THAT IS HOW MUCH IS IN ONE LITRE! height cm. Multiply these numbers to find the volume in cubic centimetres. 3. Fill the litre container with rice.
3 THAT IS HOW MUCH IT TARES TO FILL A ONE CM' X MIX = . Are the answers the same in c.and d.? LITRE CONTAINER!
00 THE CENTER FOR VOCATIONALEDUCATION Exercise 3 (continued on next page)
19 8
B. DEViLOP YOUR ABILITY TOESTIMAiE IN MILLILITRES B. DEVELOP YOUR ABILITY TO ESTLMATE INLITRES
You are now ready to estimate in millilitres.Follow the You are now readY to dellop your ability to estimatein procedures used for estimating metres. litres. To write two and one.half litres, you write2.5 1, or 2.5 litres. To write one.half litre, you write 0.51, Or 0.5 How Close litre. To write two and three.fourthslitres, you write EstimateMeasurementWere You? 2.75 1, or 2.75 litres. (m1) (m1)
1. Small juice can. For each of the following items, use the proceduresfor estimating in metres, 2. Paper cup or tea How Close cup, MeasurementWere You? .... Estimate ...... ==11 (1) (1) 3, Soft drink can:. 11011110.1=1*
1. Medium.size 4. Bottle. freezer container. W.MM 1 =MY
2. Large freezer container. .111E1. Mm 1Mr ... IV. TRE CUBIC METRE (m3 i 3. Small freezer A. DEVELOP A FEELING FOR A CUBICMETRE contp 3er, =MmE.N1=1.
to the wall. 4.,Bo' Lie or jug. 1, Place a one metre square on the floor next
2. Measure a metre UP the wall. Jfl r st, MILLILITRE'(inl) 3. Picture a box that would fit into that space.
There are 1 000 millilitres in one litre.1 000 ml1 litre.Half THAT IS THE VOLUME OF ONE CUBICMETRE! a litre is 500 millilitres, or0.5 litre:500 ml.
IN CUBIC METRES B. DEVELOP YOUR ABILITY TO ESTIMATE A. DEVELOP A FEELING FOR A MILLILITF E
For each of the following item., follow theestimating proced . 1. Examine a centimetre cube, Authing which holds ures used betorP. 1 cm 3 holds 1 ml. How Close
2. fill a 1 millilitre measuring spoon wita rice, Emptythe EstimateMeasurement Were You? spoon into your hand.Carefully pour the rice into a (m3) .(m3) small pile on a sheet of paper.
1. Office desk. ilMil...1.01=111111 THAT IS HOW MUCEONE MILLILITRE IS!
2. File cabinet. .IMINEMINI11. Filkheml spoon with rice. Pour the rice into another pile on the,,sheet of paper. 3. Small room. 01..4
THAT IS 5 MILLILITRES, OR ONETEASPOON!
4. Fill the 15 ml spoon with rice. Pour the rice into aihird pile on the paper 2 1 THAT IS 15 MILLILITRES, OR ONETABLESPOON!
0 Exercise 3 THE CENTER FOR VOCATIONAL EDUCATION MASS (WEIGHT) MEASUREMENT ACTIVITIES
Kilogram, Gram
The mass of an object is a measure of the amount of matter in the Mass object. This amount is always the same unless you add or subtract sou (kg) matter from the object. Weight is the term that most people use when 1. 1 kilogram box.' theymean mass. The weight of an object is affected by gravity; the 11111.MNIMM. mass of an object is not. For example, the weight of a person onearth 2. Textbook. might be 120 pounds; that same person's weight on the moon would be 3. Bag of sugar. =11111.= 20 pounds. This difference is because the pull of gravity on the moon is less than the pull of gravity on earth. A person', mass ,on the earth 4. Package of paper. and on the moon would be the same. The metric system does not 5. Your own mass. measure weights-it measures mass, We will use the term mass here,
The symbol for gram is g. B. DEVELOP YOUR ABILITY TO ESTIMATE IN KILOGRAMS The syinbol for kilogram is kg. For the,following items ESTIMATE the mas0of the object in There are 1 000 grams in one kilogram, or 1 000 g = 1 kg.
, . kilograms, then use the scale or balance to find the exact mass Half a kilogram can be written as 500 g,or 0.5 kg. of the object. Write the exact mass in the MEASUREMENT
A quarter of a kilogram can be written as 2501,or 0.25 kg. column. Determine how close your estimate is;
Two and three-fourths kilograms is written as 2.75 kg. How Close EstimateMeasurementWere You?
(kg) (kg)
.tHE KILOGRAM.(kg) 1. Bag of rice.
DEVELOP A FEELING FOR THE MASS OF A KILOGRAM 2. Bag of nails, ..rairmml Iin.. "
3. Large purse or Usinra balance or scale, find the mass of the items on the table. briefcase. Before you find the mass, notice how heavy the object "feels"
and compare it to,the reading on the scale or balance. . 4. Another person. 11110MPIMIM .1.1.1.=.1.1
'4 5. A few books.
A CME CENTER FOR VOCATIONAL EDUCATION Exercise 4 (continued on next page)
22 23 IL THE GRAM (g)
A. DEVELOP A FEELING FOR A GRITS! B. DEVELOIYOURABILITY TO ESTIMATE'IN GR MS
1. Take a colored plastic cube. Hold it in your hand. You are now readi.to improve your ability to estiMate
Shake the cube in your palm as if shaking dice. Feel the 4- grams. Remember how heavy the 1 gram cube is,how heavy pressure on your hand when the cube is in motion, then the two gam cubes are;and how heavy the five gram cubes
, when it is not in motion, are. For each &the folloWillg items, follow the procedures used for estimating in kilograms. THAT IS HOW HEAVY A GRAM IS!
How nose EstimateNiasurementWereou? 2. Take a second cube and attach it to the first. Shakethe cubes in first one hand and then the.other hand; rest (g) (g) the cubes near the tips of your fingers, moving your Two thumbtacks. hand up and down. 2. Pencil. 10. THAT IS THE MASS OF TWO GRAMS! 3. Two-page letter and envelope.
Take five cubes in one hand and shake them around. 4, Nickel,
THAT IS THE MASS OF FIVE GRAMS!i: 5. Apple.
6. Package of margarine.
THE CENTER FOR VOCATIONAL EDUCATION Exercise 4
2 11 TEMPERATURE MEASUREMENT ACTIVITIES
Degree Celsius
I. DEGREE CELSIUS (°C) B. DEVELOP YOUR A LITY TO ESTIAATE IN DEGREES
Degree Celsius ( he metric measure for'temperature, CELSIUS
A, DEVELOP A FEL1NG FOR DEGREECELSIUS For each item, ESTIMA E and write down how many degrees Celsius you think it is.hen measure and write theXASURE- Take a Celsius thermometer. Look at the marks on it, MENT; See how close your estimates and actualrplasure- P' ments are.
1. Find 0 degrees. How Close EstimateAkasurementWere Y ou? WATER FREEZES AT ZERO DEGREES CELSIUS (0°C) (°C) (°C)
WATER 'BOILS AT 100 DEGREES CELSIUS(100°C) 1. lqx some hot and cold water in a 2, Find the temperature of the room. °C. Is the container. Dip your room cool, warm, orabout right? finger into the
3. Put sari hot water from the faucet into a container. water.. . Find the temperature. °C. Dip your finger 2, Pour out some of quickly in and out of the water. Is the water very hot, the water. Add some hot; or just warm? hot water. Dip your, 4. Put some cold water in a container with aihermometer. fingertvickly into Find the temperature. °C. Dip ybur finger into , the water. themater, Is it cool, cold, or very cold? 3. Outdoor tempera- k 5. Bend your arm with the,inside of your elbow around the ture. ilmwm."=11=MMi bottom of the thennoineter. After about three minutes 4. Sunny window sill. 111 111. find the temperature, °C. Your skin tempera- ture is not as high1S mir body temperature. 5, Mix of ice and water. .1 NORMAL BODY TEIIERATURE IS 37 DEGREES 6, Tempirature at CELSIUS (37°C). floor.
A FEVER IS 39°C. 7. Temperature at ceiling. A VERY HIGH FEVER IS 40°C.
OCTHE Cl/NTIII FON VOCATIONAL EDUCATION Exercise 5 /1
2 7 6 12
UNIT METRICS IN THIS OCCUPATION
Changeover to the metric system is under voiy.Large corporations are already using metric measurement to compete in theworld market. The metric system has been usedin communities for years. Legislation, passed in OitlECTIVES various parts of industrial and scientific 1975, authorizes an orderly transition to useof the metric system. As businesses and will need to use metric measurement The student will recognize and use the metric industries make this metric changeofer, employees tern, units, and symbols used inthis occupa- in job-related tasks. tion, Table 2 lists those metric terms which arernost.commonly used in this occupation. Given a metric unit, state its use in this These terms are replacing the measurementunits used currently. Rat kinds of job- of the many different kinds of measurements you occupation. related tasks use measurement? Think replace them. See if you now make and useTable 'L to discuss the metric terms which 6 Given a measurement task in this occupa- can add to the'list,of usesbeside each metric term. tion, select the appropriate metric unit and measurement tool,
SUGGESTED TEACHING SEQUENCE
Assemble metric measurement tools (rules, tapes, scales, thermometers, etc.) and objects related to this occupation,
2. Discuss with students how tu read the tools,
3. Present and have students discuss Information Sheet 2 and Table 2.
4. Have students learn occupationally- related metric measurements by complet- ing Exercises 6 and 7.
5. Test performance by using Section A of "Testing Metric Abilities,"
28
CCDIMMER FON VOCATIONAL EDUCATION Information Sheet 2
29 13
METRIC UNITS FOR BLUEPRINTREADING Use Quantity Unit Symbol
Surface fmilh. Length micrometze pm
Chamfer dimension; length and diameter of dal; millimetre mm hole size; tool size. ,
Radius; length of table; paper Sze, centimetre , Cm IN , Length of stock; angle iron; taol bed; highway width. metre m
Section of highway. kilometre km
End of punch; Ares square millimetre mm2
2 square centimetre cm Sheet metal fabrication; site of openings.
square metre m2 FlOor WACO; park lot; machine locations.
Paving job; property plat. -- square kilometre km2 Metal removal. Volume cubic millimetre mm3
3 Cylinder capacity or engine displacement.' cubic centimetre
Excavation; concrete; and; bukfill. cubic metre m3
Liquid oils, chemicals, sprays; measuring granular millili tre ml materials by volume; cylinder capacity or engine
I &placement; tanks and containers. , litre ,
Structural steel; machine Seel; machinery and Mass kilogxam kg equipment metric ton t
Air; gas; hydraulic; plumbing syttems. Presure kilopascal kPa
cubic metres. 'Tank and container capacities and engine displacement can begiven either in millilitzeo and litres or in cubic centimetzeo and
Table 2 THE CENTER FOR VOCATIONAL EDUCATION (11:C 31 30 14 TRYING OUT METRIC UNITS
Actual To give you practice with metric units, first estimate the measure- Estimate ments of the items below. Write down yourbest guess next to the item, . Then actually measUre the item and write down your,answersusing the 16. kall box 'correct metric symbols. The more youpractice, the easier it will be. 17.Piece of pipe
Estimate Actual 18. Classroom
Length 19, Large tank 1. Window height
20. Aquarium 2.Ridge height
21.Large cylinder 3.Riser (stair) height
22,Foundation 4.Desk height
5. Cabinet width Mass 23, Textbook 6.Desk width
24, Nickel 7.,Room width
25, Bag of mortar 8. Ceiling height
26. Bag of concrete 9. Door height
27.Piece of steel Aro 10, Desk top 28. A litre of water (net)
11. Classroom floor
Temperature 12, Window 29. Room temperature
13. Classroom wall 30. Outside temperature
14. Sheet of paper 31. Hot tap water
--Volume/Capacity.... 32. Ice water 15. Bathtub
Exercise 6 THE CENTER FOR VOCATiONAL EDUCATION
33 Q 9 15 hEADING BLUEPRINTS WITHMETRICS
It is important to know what metric measurement to use, Show 20.Flow rate of water pipe what rile, wrement to use in the following situations.
21.Angle of drill bit point 1.Thickness of wire 22. Tank capacity 2,Length of pipe
3.Diameter of pipe
Measure the lines and give answers in mm. 4.Height of door
Line on Blueprint 5.Length of wall
mm 6.Finish u;. machined surface
7.Angle oi hamfer
n [--- 8.Capacity of container
3. I 9.Mass of h gear
4. I- 10.R,ate of usage of welding gas
5, I 11.Wire feed travel
6. II 12.Distance between centers
7, p 13.Angle of threads
8, F 14.Length a blt
9. 15. Width across flats
10, I- 1 16.Capacity of a pipe
17.Mass of 3, machine
18.HeightL ceiling
19.Area of floor
Exercise 7 0:\E10ENTERFOR wawa. EDUCATION 35
34 16
METRIC-METRIC EQUIVALENTS UNIT Centimetres and Millimetres
OBJECTIVE 11-
(11 11it 1111111171m
The student will recognize/and use met. ric equivalents. I 3 4 5 6
Given a metric unit, state an equivaJent Look at the picture of the tYail next to the ruler. The nail is 57.mm long. This is 5.cm + 7 mit in a larger or smaller metric unit. There are 10 mm in each cm, so 1 mm 01 cm (one-tenth of a centimetre). This means that 7mrn.0.7cni,so57min 5cm+7 mm 5 cm + 0.7 cm = 5,7 cm. Therefore 57 mm is the same as 5.7 cm.
SUGGESTED TEACHING SEQUENCE Now measure the paper clip. It is 34 mm. This is the same as 3 cm + mm, Since each millimetre is 0,1 cm (one.tenth of a centimetre), 4 mm = cm. So, the paper clip is 1, make available the Information Sheets 34mm= 3cm+4 min (38) and the associated Exercises 3 cm + 0,4 cm (8 . 14), one at a time. 3,4 cm. This means that 34 mm is the same as 3.4 cm.
2, As soon as you have presented the information Sheet 3 Information, have the students complete each Exercise.
Now you try some. 3. Check their answers on the page titled ANSWERS TO EXERCISES AND a) 26mm=, .cm 1) 132 mm _ cm TEST. b ) 583 mm ; cm f )802 mm cm Test performance by using Section B of c )94 mm g )1 400 mm cm "Testing Metric Abilities," d ) 680 mm = cm h )2 307 mm = cm
Exercise 8
TR CENTER FOR VOCATIONAL EDUCATION
37 17
MetreS, Centimetres, and Millimetres Millilitres to Litres
There are 100 centinvtres in one nere. Thus, (There are 1 000 millilitres in one litre. This means that
2 rn 2 x100cm 200cm, 2 000 millilitres is the same as 2 litres, 3 m 3000 cm. 300cm, 3 000 ml is the same as 3 litres, 8 m 8 x 100 crr, = 800 cm, 4 000 rn) is the same as 4 litres, 36 m 36 x 100 crn = 3 600 cm. 12 000 ml is'the same as 12 litres. ,Thereare 1 000 millimetres in one metre, so
2m 2 x1000 rnm 2000mm, Since there are 1 000 millilitres in each litre, one way to change mill litres to litres is to divide by 1 000, For example, 3m 3 x 1000 mm 3000 mrn,
6m 6 x1000 mm= 6000 mm, 1 000 1 litre. 24m.24 x 1000mm24000 mm. 1 000 ml 7 litre Or 2 000 2 000 ml, -- From your work with decimals you should know that 1 000litres " 2 litres,
one-half of a metre can be written 0.5 m (five.tenths of a metre), And, as a final example, 28 000' one.fourth of a centimetre can be written 0.25 cm 28 000,m1 litres = 28 litres. 1 000 (twenty.five hundredths of a centimetre). What if something holds 500 ml? How many litres is this? This is This means thatif you want to change threefourths ofmetre to worked the same way. millimetres, you would multiply by 1 000. So 500 litre0 5 litre (five-tenths of a litre), So 500 mr 0,75 m = 0.75 x 1 000 mm 500 ml is the same as one-half(0,5) of a litre. 75 WO 000 mm Change 57 millilitres to litres. 1 000 75 x 100 mm 57 57 ml :arm litre = 0.057 litre (fifty-seven thousandths of a
= 75 xl0mm litre). AI,
= 750 mm. This means that 0.75 m 750 mm.
1 Information Sheet 4 InfoTmatiOn Sheet 5
Fill in the following chart, Now you try some. Complete the following chart.
metre centimetre millimetre millilitres litres m cm \s., mm (ml) 01
1 100 1000 3000 3
2 200 6000
3 8
9 14000
. 5000 f3
74 300 0.3 0.8 80 700
0,6 600 0,9 2.5 25 /50 , 38 148 0,47 ' 639. 275 .. Exercise 9 Exercise 10
NTER FOR VOCATIONAL EDUCATION 39 18 Litres to Millilitres Kilograms tor Grams
Mat do you do.if you need to change litres to millilitres? Remember, To change kilograms,to grams, you multiply by 1 000. there are 1 000 millilitres in one litre, or 1 litre = 1 000 nil. 4 kg =4. x100(1g =4000 ; 23 kg = 23 x 1000 g =23000 g, So, 0.75 kg =0.75 x 1000 g = 750 g.
2 litres = 2 1 000 rrd = 2 000 ml, Information Sheet 8 7 litres = 7 x 1 000 ml 7 000 ml, 13 litres =1.,; x 1 000 ml =13 000 ml, Complete the following chart, 0,65 litre = 0.65 x 1 000 ml = 650 ml. kilograms grams
Information Sheet 6 kg g Now you try some. Complete the following chart. 7 7000
11 btres millilitres 25000 : ml 0,4 1 0,63 8 000 8 175 Exercise 13 5 46 32 000 - Chang.ing Units at Work
(IA Some of the things you use in this occupation may bemeasured in 0,53 different metric units. Practice changing each of thefollowing to 480 Exercise 11 metric equivalents by completing these statements.
Grams to Kilograms a ) 500 cm of rope is b ) 250 ml of solution is 1 There are 1 000 grams in one kilogram. This means that c ) 5 cm diameter pipe is mm d ) 2 500 g of plaster is kg 2 000 grams is the same as 2 kilograms, e ) 120 mm pipe is cm 5 000 g is the same as 5 kg, ) 0.25 litre of penetrating oil is ml 700 g is the same as 0.7 kg, and so on. g I2 000 kg of metal scrap is h ) 0,5 litre of concentrate is ml mm To change from grams to kilograms, you use the same procedurefor ) 2 m board is kg ,changing from millilitres to litres. j) 500 g of pigment is k ) 500 ml dye is kg Information Sheet 7 1 0.5 t of copper is
Try the following ones. m) 10 m of wire is. Crrl Mtn grams Worms n ) 2.5 cm diameter pipe is
g kg 0 ) 2 400 mm wall panel length is cm
4 000 NM 9 GOO IIIIIII 23 000 MINI IIIIIIIIIiiii tri 215 Exercise 12
CCTHE CIENTIN FOP VOCATIONAL EDUCATION Exercise 14
a 40 19 UNIT
SELECTING AND USING METRIC INSTRUMENTS TOOLS ANDDEVICES
OBJECTIVE Selecting an improm tool or misreading a scale can result in an iinpropersales form, damaged materials, or injury to self or fellow workers. For example,putting 207 pounds The student will recognize and use per square inch of pressure (psi)in a hydraulic line designed for 207 kilopascals (about 30 psi) instruments, tools, and devices for mea. could cause a fatal accident. Here are Some suggestions: surement tasks in this occupation'. tools, instruments, or pro- 1. Find out in advance whether Customary or metric units, Given metric and Customary tools, ducts are needed for a given task. instruments, or devices, differentiate
between metric and Customary. 2. Examine the toOl or instrument before using it, Given a measurement task, select The metric system is a decimal system. Look for unitsmarked off in whole numbers, and use an appropriate tool, in- 3. lens or tenths, hundreds orhundredths. strument or device.
kg, g, kPa. O Given a metric measurement task, 4. Look for metric symbols on the tools or gages such as m, mm, judge the metric quantity within 25% (2.50) rath9r than com- and measure to the accuracy ofthe tool. 5. Look for decimal fractionsi0.25) or decimal mixed fractions mon fractions (3'8) ondrill bits, feeler gages, etc.
SUGGESTED TEACHING SEQUENCE 6. Some products may have a special metric symbol such as ablock M to show they are Assemble metric and Customary measure- 1_ metric. ing tools and devices (rules, scales,°C
thermometer, drill bits, wrenches, microm . 7. Don't force bolts, wrenches, or other devices which are notfitting properly. eter, vernier calipers, feeler gages) and
display in separate groups at learning 8. Practice selecting and using tools, instruments, anddevices. stations.
2. Have students examine metric tools and instruments for distinguishing character- isticsand compare them with Customary tools and instruments.
3. Have students verbally describe charac- teristics.
4. Present or make available Information Sheet 9.
5. Mix metric and Customary tools or equip- ment at learning station. Give students Exercises 15 and 16.
6. Test performance by using Section C of "Testing Metric Abilities."
THE CENTER FOR VOCATIONAL EDUCATION Information Sheet 9 42 43 20 WHICH TOOLS FOR THE JOB? MEASURING UP IN BLUEPRINT READING
Practice and prepare to demonstrate your ability toidentify, For the tasks below, estimate the metric measurement to within select, and usemetricscaled tools and instruments for the tasks given 25% of actual measurement, and vilify the estimation by measwing below. You should be able to use the measurement tools to the appro- to the accuracy of the tool. piiate precision of the tool, instrument, or task. Estimate Verify Select and demonstrate or describe use of tools, instruments, or 1.Length of room devices to:
2. Width of room 1.Calculate capacity of yourclakTOM.
3.Air capacity of room. 2.Measure diameter of bar stock.
4.Height of ceiling 3, Measure length of a support beam.
5. Diameter of bar stock , 4.Measure chamfer on a collar.
6. Mass of product. 5.Measure the depth r.lf a hole in a gear.
7.Capacity of a cylinder 6.Find themassof aluminum gear. _
8,Capacity of a box 7.Measure the diameter of a piece of bar stock.
9.Mass of a chair 8.Find location of holes to a reference point.
10.Area of a table 9.Calculate ccpacity of a pipe.
11. Area of chalkboard 10.Measure dimensions of a room.
12. Thickness of sheet metal 11.Calculate area of a room.
13. Diameter of a pipe 12.Calculate air capacity of a room.
14.Thickness of pipe walls 13.Calculate circumference ofacylinder.
15. Mass of a length of pipe
Exercise 15 Exercise 16
THE CENTER FOR VOCATIONAL EDUCATION
4 4 UNIT
METRIC-CUSTOMARY EQUIVALENTS
During the transition period there will be aneed for finding equivalents between systems. equivalent OBJECTIVE Conversion tables list calculated equivalentsbetween the two systems. When a close is needed, a conversion table can be used tofind it. Follow these steps: The student will recognize and use mettle
and Customary units interchangeably in orders 1. Determine which conversion table isneeded. ing, selling, and using products and supplies in appropriate column; if not listed, find numbers you this occupation. 2. Look up the known number in the can add together tomake the total of the known number, Given a Customary (or metric) measure
ment, find' the metric (Or Customary) 3 Read the equivalent(s) from the nextcolumn. equivalent on a conversion table. which Table 3 on the next page gives an exampleof a metricCustomary conversion table 3 can be used with Exercise O Given a Customary unit, state the re- you can use for practice infinding approximate equivalents. Table placement unit. 17, Part 2 and Part 3.
Below is a table of metrigusiOmary equivalentswhich tells you what the metric replace. 3. The tints for Customary units are.* This table can beused with Exercise 17, Part 1 and Fitirt symbolmeans "nearly equal to." SUGGESTED TEACHINGiEQUENCE
1. Assemble packages and containers of materials. 1 tsp 5 ml 1 cm 0.39 inch 1 inch154 cm lmk 0.2 tsp 1 tbsp ;7.15 ml 1 m 3.28 feet 1 foot0.305 m 1 ml 0.07 tbsp 2. Present or make available Information 1 fl oz 29.6 ml 1 m:r. 1.09 yards 1 yard0.91 m ,1 1% 333 fl oz Sheet 10 and Table 3. 1 cup237 ml 1 km .1-- 0.62 mile 1 mile '.-- 1.61 km 1k 4.2 cups 1 pt 0.47 1 1 cm' 0.16 sq in 1 sq in k 6.5 cm2 1 1 k 2.1 pts 3. Have students find approximate metric- 1 qr-z; 0.95 1 1 m2 10.8 sq ft 1 sq ft0.69 m2 1 Pt: 1.06 qt Customary equivalents by using I gak 3.79 1 1 m2 z1.2 sq yd 1 sq yd 0.8 m2 1 k 0.26 gal Exercise 17. 0,035 oz 1 oz 283 g 1 hectare2.5 acres 1 acre 't 0.4 hectare 1 gram 1 kg :z 2.2 lb 1 lb015 kg 1 cm3 0.06 cu in 1 cu in t 16,4 cm3 4. Test performance by using Section Dof 1 m3 45.3 cu ft 1 cu ft0.03 m3 1 metric ton t2205 lb 1 ton k 907.2 kg "Testing Metric Abilities." 1 Ha,. 01A5..psi_tpsi.:t 6.895 kPa 173-eu.yd 1-c-AudA'4,,,s.ml___
*Adapted from Let's Measure Metric, A Teacher's Introduction to MetricMeasurement, Division of Educational Redesign and Renewal, Ohio Department of Education, 65 S. Front Street,Coltimbus, OH 43215, 1975
THE CENTER FOR VOCATIONALEDUCATION Information Sheet 10
4 6 4 7 ,22
CONVERSION TABLES
SQUARE FEET TO SQUARE METRES
ft: m: ft2 m2 ft2 1112 ft2 m2 .
1000 92,90 100 9,29 10 13 .09
2000 185.81 200 18.58 20 1.82 2 .19
3000 278.81 300 27,88 2.79 3 .28
4000 371.61 400 37.16 40 3,72 4 .37
5000 464,52 500 46.45 50 4.65 5 .46
6000 557.42 600 55.74 60 5.57 6 .56
7000 650.32 700 65,03 70 6.50 7
8000 743.22 800 74.32 80 7.43 8 .74
9000 836.13 900 83.61 90 8.36 9 .84
SQUARE METRES TO SQUARE FEET
m2 ft2 In 2 ft2 m2 ft2 , M2 ft2
100 1076.39 10 107,64 1 010.76 0.1 1.08
200 2152,78 20 215.28 2 21,53, 04 2.15
300 3229.17 30 322.92 3 32'..29 0.3 3.23
400 4305,56 40 430.56 4 43.06 0.4 4.31.
500 5381.96 50 538,20 5, 53.82 0,5 5,38 600 -6458,35- 60- -645,83 -6- -64758-, tt 6.46 700 7534.74 70 753.47 75.35 0.7 , 7,53
800 8611.13 80 861.11 8 86.11 0,8 8,61
90.0 9687.52 90 968.75 9 96.6 0,9 9.69
(11:CTIE CENTER FOR VOCATIONAL EDUCATION Table 3
48 49 23 ANY WAY YOU WANT IT
3. Complete the Requisition Form using the itets listed. Convert 1. You are working in the drafting room of a metal fabricating plant. With the change to metric measurement some of the things you the Customary quantities to metric before filling out the form, order, sell or use are marked only in metric units. You will need Complete allthe information (Date, For, No., etc.). . to be familiar with appropriate Customary equivalents in order to Order the following supplies:
communicate with customers and suppliers Who use Customary a)1 ton of steel units. To develop your skill use the Table on Information Sheet b ) .30 ft. of pipe 10 and give the approximate metric quantity (both number and c)300 ft. of wire unit) for each of the following Customary quantities. d) 30 gals. of coolant
e)2 lb. washers, stock No. 2410 Customary Quantity Metric Quantity
a ) 2 lbs. of welding rod REQUISITION . b ) 4 qts. of solvent
C ))3/4 in, pipe A D4te , d ) 10 lbs. of copper For . e) 100 lbs. of aluminum
f) 18 in. shear
gI two-gallon can No. Date Wanted
hI 1 pt, of oil Deliver to ..
i 1 1 fl. oz. of spray paint
) 10 ft. foundation depth QTY UNIT ITEM
k) 1/2 in. pipe
4 in, spacing
m 2 ft. table ,
n) 6 in. pipe
o ) 1./4 in, plate
2. Use the conversion tables from Table 3 to convert the following: ,
, a ) 90 10 m2 f)800 m2 = ft.2 Requestedby
2 b )30 ft.2 gj 1620 m2 = ft? Approvedby m , 498 m2 c) 2500 ft.2 .= h )
d 105 ft."' i)42 m2 = ft.2 m2
e 63 ft.2 m2 j )284 m2 = ft.2
THE CENTER FCC VOCATIONAL EDUCATION Exer
50 51 24 Use this conversion table to 11. Estimate the length of the line SECTION.A 6. The correct way to write twelve answer questions 15 and 16. thousand millimetres is: segment below: 1, One kilogram is about the man mm in: mm hi. of 1: IA]12,000 mm. [A ]23 trams 10 0.39 1 0.04 [A]nickel [13] 12.000 mm
A IN 6 centimetres 20 0.79 2 0.08 [13] apple seed [C]12 000mm 30 1,18 3 0.12 [C ] 40 millimetres 40 1.57 4 0.16 (CIbasketball [DI12 000 mm [DI14 pascals 50 1.97 5 0.20 [D ]. Volkswagen "Beetle" 60 2.36 6 0,24 SECTION B 70 2.76 7' 0.28 2. A square metre is about the 7, A board 20 centimetres wide'can 80 3,15, 8 0,31 12. Estimate the length of the line area of: also be written as: 90 3.54 9 0.35 segment below: 100 3.94 I A I this sheet of paper [A]200 millimetres
[13] a card table top ,[)Y1000 millimetres [A]10 millimetres
[CIa bedspreadl .[C] 2 millimetres [B 4 centimetres 15. The equivalent of 110 mm is: ID Iapostag?Aamp [0 ]0.2 millimetre [C ] 4 pascals
[El ]23 milligrams [A]27.5 in.
3. The length of a drill would be) 8. A 750 gram sack of plastic pellets [131 4.33 in. measured in: SECTION D --is the same as: [C]277 in..
[Atmetres 1 e metric unit which replaces the [A]7,5 kilograms [D]2.75 in. fluid ounciis: [13] pascals [13] 750 000 kilograms [A]hectare [C]millimetres [C]7500 kilograms [B ] Millilitre [1:1 ] millilitres [DI0.75Iilogram 16. Ileequivalent of 18nun is: [C ] gram
SEC'FION C [D]litre [A ]0.7 in.
4. The mass of steel is measured 9. For measuring in millimetres you [13] 7 in. \, in: would use a: [C]0.39 in,
[A]cubic metres [A]scale 14. The metric unit which replaces the [D]18 in. \ gallon is:. [B]kilograms .[B Ipressure gage litre [C]centimetres [C]rule [A ]
container [B I cubic metre' [D]millilitres [D]
[C]millilitre
5. The correct way to write twenty 10. For measuring kilopascals you would [D]kilogram grams is, use a:
[A]20 gms [A ]pressure gage
[Br, 2b Gm. [13]rule
[CI20 g, [C]scale
[DI20 g [D]container
THE CENTER FOR VOCATIONAL EDUCATION TESTiNG METRIC ABILITIES
53 ;9. ANSWERS TO EXERCISES AlD TEST 25
EXERCISES 1 THRU 6 Exer4se 10 Exercise 13 Part 2. The answers depend on the items kilograms grams a)8.36 m2 f)8, 611,13 ft.2 used for the activities. millilitres litres kg b )2.79 m2 ml I g )17,437.54 12 . . EXERCISE 7 c)232.26 m2 h )5,360.42 ft,2 7 7 000 3 030 3 Currently accepted metric units of d )9.75 m2 i )452.09 ft.2 11 (11 000) 6 000 (6) measurement for each question are e )5.85 m2 i )3,056,95 ft.2 (25) 25 000 41 shown in Table 2, Standards in each (8 000) 8 occupation are being establis'd 0.4 (400). ( 14000) (14) Part 3. now. so answers may vary. 0.63 16311,1 "(23 M) 23 (0.175) 175 a)907.2 kg d )113.71itres 1. 20 mm 6. 11 mm 300 0.3 b )9.15 m e)0.9 kg 2, 35 mm 7. 21 mm 700 (0.7) c)91.5 m 3. 51 mm 8. 56 mm (900) 0.9 Exercise 14 4. 61 mm 9, 65 mm 250 (0.25) 5. 41 mm 10. 61 mm (470) 0.47 a )5 m i)2 000 mm TESTING METRIC ABILITIES EXERCISE 8 275 (0.275) b )0,25 kesj )0.5 kg 1. C 9. a) 2.6 cm e) 13.2 cm c )50 mm k )0.5 litre 2. B 10. b) 58.3 cm 1) 80.2 cm A d )2.5 kg 1 )500 kg c) 944 cm g) 140.0 cm Exercise 11 3. C 11. e )12 cm m )1 000 cm d) 68.0 cm h) 230:7 cm f 4. B 12. A litres millilitre] f)250m1 n )25 mm 5. D 13. EXERCISES 9'THRU 13 I ml g )2 t o )240 cm , 6. 14. A h )500 ml Tables are reproduced in total. An- 8 8000 7. A 15. swers are in parentheses. S. D 16. 5 (5000) EXERCISES 15AND 16 A 46 (46000) Exercise 9 (32) 32000 The answers depend on the metre centimetremillimetre 0.4 (400) items used for the activities. 111 CIII MD 0.53 (530) (0.48) 480 1 100 1000
200 (2000) Exercise 12 Exercise 17
( ) (3000) Part 1. 9 1900) 19000 grams kilograms a)0.9 kg i)29.6 mI (5) 1500) 5000 g kg b )3.8 litres j )3.05 m 71 (7400) (74000) 4000 4 c )1.905 cm k )1.27 cm 0 8 80 1800 9000 (9) d )4.5 kg 1 )10.16 cm 0,6 (60) 600 23000 (23) 45 kg m )0.61 m 0 095 2,5 25 e ) (8000) 8 f)45.72 cm n )15.24 cm (0.148) 114.8 148 300 (0.3 g )7.58 litreso )0.635 cm (6,39) 639 (63901 275 (0.275) : h )6.47 litres
THE CENTER FOR VOCATIONAL EDUCATION
U. S. 60VIIIMT MUTING OM: 1976-751-069/6211Region No.5- I 55 54 \ SUGGESTED METRIC TOOLS AND DEVICES SUGGESTED METRIC TOOLS AND DEVICES
NEEDED TO COMPLETE MEASUREMENT TASKS NEEDED TO COMPLETE OCCUPATIONAL
IN EXERCISES 1 THOUGH 5 MEASUREMENT TASKS
(* Optional) In this occupation the tools needed to complete Exercises 6, 15, and 16 are indicated by 4,"
LINEAR MASS A. Assorted Metric HardwareHex nuts, washers, screws, cotter pins, etc, Drill BitsIndividual bits or sets, 1 mm to 13 mm range Metre Sticks Bathroom Scale B. C. Vernier CaliperPocket slide type, 120 aim range Rules, 30 cm *Elogram Scale * MicrometerOutside micrometer caliper, 0 mm to 25 mm Measuring Tapes, 150 cm *Platform Spring Scale * D. range *Height Measure 5 kg Capacity 10 kg Capacity E. Feeler Gage-13 blades, 0.05 mm to 1 mm range *Metre Tape, 10 m Balance Scale with 8.piece F. Metre Tape-50 or 100 m tape *Trundle Wheel mass set G. TherniometersSpecial puipose types such as a clinical *Area Measuring Grid *Spring Scale, 6 kg Capacity thermometer H.' Temperature DevicesIndicators used for ovens, freezing/ VOLUME/CAPACITY TEMPERATURE cooling systems, etc. I. ToolsMetric open end or box wrench sets, socket sets, *Nesting Measures, set of 5, Celsius Thermometer hex key sets 50 nil . 1 000 ml J. Weather DevicesRain gage, barometer, humidity, wind Economy Beaker, set of 6, velocity indicators 50 ml. 1 000 ml K.' Pressure GagesTire pressure, air, oxygen, hydraulic, fuel, Metric Spoon, set of 5, etc. 1 ml . 25 ml L. VelocityDirect reading or vane type meter Dry Measure, set of 3, M.Road MapState and city road maps 50, 125, 250 ml N. ContainersBuckets, plastic containers, etc., for mixing Plastic Litre Box and storing liquids Centimetre Cubes 0.ContainersBoxes, buckets, cans, etc., for mixing and storing dry ingredients
Most of the above items may be obtimed from local industrial, hardware, and school suppliers. Also, check with your school district's math and science departments and/or local industries for loan of their
THE CENTER FOR VOCATIONAL EDUCATION metric measurement devices.
thfOi4q) Siiti Ulle0,1,ty 1960 Kenny Road Columba 011,o 43210
1Measuring devices currently are not available, Substitute devices li,e thermometer) may be used to complete the measurement talk.
Tools and Devices List
5 7 5 6 REFERENCES
University, Introduction to reading metric drawinp breed on the practices of American Going Metric irr DraftingCenter for Metric Education, Western Michigan industries going metric. Describes bmic metric units and prefixes, international Kalernisoo, MI 49001, 1974, (available through theindustrialeducation depart. metricpaper sizes, converting inch drawing: to metric,making tolerance con. Mai of teacher education instutions ineach of the dates), 51 transparency verions, dual-dimensioning Practices, firstangle projections, special symbols, muter's, Not* and Comments (12 pigs). and thread designations. Includes drawings from industriesInternational Hunger, ITT Gilfillan, Caterpillar Tractor, Clarke Equipment, General Motors Set of transparency mutes and teacher's ocriptfor metrication of drifting in and on ISO Metric Screw Threada. Sets of,questions with drawings, answers construction and manufacturing. Includes vitiatescale comparisons, rounding. appended. Conversion charts appended for tap and drill aims. off ries snd tolersncing, preferred metric linear onesfor engineering design, comparisons of first and thirdangle orthopaphicmetric drawings, ISO metric Metrics in Career Education,Lindbeck, John R., Charles A. Bennett Company, thread Mies, ad reading metric micrometers andcapers. Inc., 809 W, Detweiler Drive, Peon:, IL 61614, 1975, 103 pages, $3.60, paper; $2.70 quantity school purchase. Let's Measure Metric, A Teacher's Introduction to MetricMeasurement, Dill. of Educe. ion of Educational Redesign and Renewal, Ohio Department Presentsmetricunits and notation in 'a wellillustrated manner. Individual $1.50, tion, 65 S. Front Street, Columbia, OH 43215, 1975, 80 pages; chapters on metrics in drafting, metalworking, woodworking, power and must include check to state tremurer. energy, graphic arts, and home economics. Chaptersfollowed by several learning activities for student use. Appendix includes conversion tables Activity-oriented introduction to the metric system designed for indepen. and charts. dent or group iniervice education study. Introductory informationabout metric measurement; reproducible exercises apply metric conceptsto METRIC SUPPLIERS common measurement situafionr,laboratory activities for individuelt or box, square centimetre grid. groups. Templates for makinr metretape,litre Brown and Sharpe Manufacturing Co., Precision Park, North Kinptown, RI
Measuring with Meters. or, How to Weigh a Gold Brick with aMeterStick. 02852. Metrication inoitute of America, P.O. Box 236, Northfield, IL60093, Industrie] quality miciorneters, steel rules, screw pitch and thicknem gages, 1974, 23 min., mm, sound, color4310.00 purchase,$31.00 rental, squares, depth gages, calipers, dial indicators,convereion charts and guides.
Film presents units for length, area, volume and mast,relating each unit Central Instrument Company, 900 Riverside Drive, New York, NY 10032, to many common objects. Screen overprints sow correct useofmetric , symbols and ease of metric calculations, Relation:hips amongmetric Drafting rules and malesfordrafting, engineering, architecture, conversion meuures of length, area, volume,and MASS are illustrated in interesting tables and slides, posters, teaching Aids, drafting templates. and unforgettable ways. Dick Buick Company, P.O. Box 1267, Galesburg, IL 61401. Aletric Education4n Annotated Bibliography for Vocational, Technicaland Adult Education 'Product Utilization, TheCenter for Vocational Edu. Instructional quality rules, tapes, metre sticks, cubes, heightmeasures, cation, The Ohio State University, Columbus, OH 43210,1974, 149 trundle wheels, measuring cups and spoons, personal scales,pamikilogram pages; $10.09. scales, feeler and depth gages, beaken, thermometers,kitsand other aids.
Regal-Beloii Corporation, P.O. Box 38, South Beloit, IL 61080. Comphensive bibliography of inttructional materials, referencemate. rills and resource lit for secondary, poat-secondary,teacher education, Audio-casettes, books, charts and posters, films, filmitrip,industzial mea and adult basic education. Instructional materialsindexed by 15 occu . outinginttrumenta and metric fasteners,kite,periodicals, reports and pamphlets, pational clusters, types of materials, and educational level. slides and transparenciee.
Metric Education, A Positiogaper for Vocational, Technicaland Adult INFORMATION SOURCES Education. Product Iffilization, TheCeaterforVocational Education, The Ohio State University, Columbus, OH 43210, 1975,46 pages; American' National Medric Council, 1625 MamachusettsAvenue, kW.,Washington, DC 20036.
Paper for teachers, curriculum developers, and administratorsin voca. Chute, posters, reports and pamphlets,Metric Reporternewsletter. National tional, technical and adult education. Covers issues in metriceducation, metric coordinating council representing industry, government, education, the metric system, the impact of metrication on vocations]and technical profemional and trade organizations. education, implications of metric instruction foradult besic education, and curriculum and inetructional strategies. National Bureiu of Standards, Office of InformationActivities,U.S. Department of Commerce, Washington, DC 20234. Metric Supplement to Technical Drawing.Mark Henschel, 3123 N. Seminary, Chicago, non-profitinsti. IL 60657, 1975, 48 pagts, $1.50;40% discount to schools and Free and inexpensive metric charts and publications, also lends films and tmtions. displays. 59 PI A