8.5. Solving Equations II. Goal Solve equations by balancing.
|
|
- Helena Page
- 6 years ago
- Views:
Transcription
1 8.5 Solvig Equatios II Goal Solve equatios by balacig. STUDENT BOOK PAGES Direct Istructio Prerequisite Skills/Cocepts Solve a equatio by ispectio or systematic trial. Perform operatios usig itegers, e.g., add, subtract, multiply, ad divide. Evaluate simple algebraic expressios usig substitutio. Assessmet for Feedback Studets will solve equatios usig a balace model Preparatio ad Plaig Pacig (allow 5 mi for previous homework) Materials Vocabulary/ Symbols 5 mi Itroductio 25 mi Teachig ad Learig 10 mi Cosolidatio paper bags red ad blue coloured couters calculators Optioal: Scaffoldig for Lesso 8.5 (Master) p. 64 balacig a equatio Workbook pp Recommeded 8, 9* (Kowledge ad Practice Uderstadig), (Applicatio of Learig) Additioal Practice Extedig: 19, 20 Learig Skills Key Assessmet of Learig Questio Mathematical Processes Use of Iformatio, Problem Solvig Questio 9, Kowledge ad Uderstadig Selectig Tools ad Computatioal Strategies, Reflectig * Key Assessmet of Learig Questio (See chart o p. 39.) Expectatios describe differet ways i which algebra ca be used i real-life situatios traslate statemets describig mathematical relatioships ito algebraic expressios ad equatios solve ad verify liear equatios ivolvig a oe-variable term ad havig solutios that are itegers, by usig ispectio, guess ad check, ad a balace model What You Will See Studets Doig Whe studets uderstad Studets will uderstad that i a equatio the equal sig meas that the quatity o the left side is the same as the quatity o the right side. Whe somethig is doe to oe side of the equatio, i order to keep it balaced as with a pa balace, the same thig must be doe to the other side of the equatio. Meetig Idividual Needs If studets misuderstad Studets may ot uderstad that the quatity o the left side of a equatio is the same as that o the right side. Use a pa balace ad a ukow object to represet the variable. Whe studets kow that both sides must remai balaced, it will be easier for studets to determie what value the variable represets. Whe oe side of a equatio has a term such as 4t, some studets may subtract 4 from both sides. Explai that 4t meas that there are 4 groups of t objects. To determie what t is, both sides have to be divided by 4. Extra Challege Studets ca explore how to use a pa balace to model a equatio whe two variables are ivolved. For example, ask studets how they would model Questio 10 i Lesso 8.1 o Studet Book page 255, where the umber of each colour of tile is represeted by a uique variable. Alteratively, studets could determie how to model the cois ad bills problem i Lesso 8.2 o Studet Book page 256, or the hardcover ad paperback books problem i the Example i Lesso 8.3 o Studet Book page 259. Extra Support Have studets use a pa balace, couters, ad empty film caisters to model the equatios i this lesso. The film caister ca represet the ukow amout, because the umber of couters iside it is ukow. This will be particularly helpful whe solvig equatios where it is ecessary to isolate the variable by divisio, such as 4 = 12. Math Backgroud I this lesso, pa balaces are used to help studets see that the left side of a equatio must equal the right side. As a result, the value of the expressio with the variable o oe side must equal the kow amout o the other side. The key to idetifyig the value of the variable is to isolate the variable o oe side of the equatio. This may ivolve simply addig or subtractig a amout to each side, or it may ivolve a umber of steps. Studets eed to be careful whe the variable is multiplied by a costat, such as 4. Copyright 2006 by Thomso Nelso Lesso 5: Solvig Equatios II 35
2 Dealig with Homework (Whole Class/Pairs) about 5 mi If the Follow-Up ad Preparatio was assiged i Lesso 8.4, have studets share their examples of real-life situatios ivolvig balacig. Some examples might iclude usig a balace i a sciece experimet, acrobats balacig o a tight rope, the famous Chiese bicycle balacig act, balacig a cheque book, ad so o. Talk about why maitaiig the balace is importat i these situatios, ad what happes whe somethig does ot balace. 1. Itroductio (Whole Class/Pairs) about 5 mi Review with the class what they already kow from previous grades about balacig equatios. Do a few examples together, ad have studets explai their thikig processes i fidig the solutios: a) 2 + = 20 b) 3c = 12 c) 2s 4 = 12 Sample Discourse How did you solve the equatio 3c = 12? I kow that 3c meas 3 groups of c items. So if I divide the left side of the equatio by 3, the I have to divide the right side by divided by 3 is 4, so c = 4. Tell studets that i this lesso they will use balacig to solve equatios. 2. Teachig ad Learig (Whole Class/Pairs) about 25 mi Lear about the Math Read the problem ad cetral questio o Studet Book page 268 with studets. Have studets work i pairs to read the examples ad solutios i the Studet Book. Both equatios ca be solved by balacig, but the first equatio ivolves additio ad the secod equatio ivolves subtractio. Have studets thik about what is the same betwee these two examples ad what is differet. Explai that what is the same is that o matter what the operatio sigs are withi a equatio, you balace the equatio by doig the same thig to both sides. What is differet is what you decide to do, whether you add, subtract, multiply, or divide. You decide that based o each idividual equatio. Sample Discourse Why did Stefa decide to take away two couters from each side? Because i the equatio o the side with the variable, there was a + 2. So to get the variable by itself, Stefa subtracted 2. The he had to subtract 2 from the other side to keep the equatio balaced. How were solvig these two examples the same? Differet? I order to keep the equatios balaced, you always did the same thig to both sides. I the first example, Stefa had to subtract couters, but i the secod example Kayley had to add couters. Reflectig Discuss the questios with the class. You may wat to have studets talk about the questios first i pairs ad the as a class. Aswers to Reflectig 1. For example, a equatio is like a pa balace because if both sides are equal, you ca say it is balaced. If oe side is heavier (pa balace) or greater (equatio), it will ot be balaced. The variable ca be o either the left or right side. 36 Chapter 8: Equatios ad Relatioships Copyright 2006 by Thomso Nelso
3 2. For example, addig or subtractig the same umber of couters o both sides of a pa balace does ot chage the equatio. It s just rewritig it aother way, but the equatio has the same meaig. The solutio to the equatio does ot chage because you did the same thig to both sides. It maitais the balace. 3. For example, the umber of bags represets the umber of groups. All of the couters i all of the bags altogether equals the total umber of couters. So if you group the couters to match the umber of bags, it is like dividig the total umber of couters by the umber of bags. Whe you have a equatio like 3 = 15, the 3 tells you how may bags (or groups) you have ad the tells you how may couters are i each bag. So if you divide 15 ito 3 groups, you ca tell that there will be 5 couters i each bag. 4. For example, if the side of the equatio with the variable has more couters tha the other, you eed to subtract. If the side of the equatio with the variable has fewer couters, you eed to add. If the side of the equatio with the variable has groups of couters that equal a total amout o the other side, you eed to separate couters ito groups. 3. Cosolidatio about 10 mi Work with the Math Solved Example (Whole Class) Example 3 shows a equatio that ivolves two steps to solve. Go through this example carefully with the class. Ask why it is ot possible for the first step to be to separate the left side ito three groups. Use the pa balace model to show why this would ot work. I this example, studets add first ad the divide. However, poit out that other equatios that ivolve two steps to solve may ivolve other operatios i a differet order. This example also ivolves decimals. Talk about how workig with decimals affects solvig the equatio. A Checkig (Whole Class/Pairs) Have studets work i pairs. Questios 5, 6, ad 7 c) ivolve two-step solutios. Make sure that studets do the additio or subtractio of couters first before they divide. You may wat to do 7 d) together as a class, sice it is the first time i this lesso that the divisio symbol is used i a equatio. Ask a studet to explai how that would be modelled o the pa balace. Aswers to Checkig 5. a) For example, if you double the umber of couters o the left side, you must also double the umber of couters o the right side to keep the balace. b) For example, if you subtract 4 couters from the left side, you must also subtract 4 couters from the right side to keep the balace. 6. Let represet the umber of couters i each bag. Sice there are 2 bags ad 3 extra couters o the left side, a expressio to represet this situatio is Sice there are 17 couters o the right side, a expressio to represet this situatio is 17. So the equatio is = 17. To solve, first subtract 3 couters from each side = = 14 Sice there are two bags, divide the couters o each side by 2 to determie how may couters are i each bag. 2 2 = 14 2 = 7 (Aswers to Lesso 5, Checkig, cotiued o p. 87) Copyright 2006 by Thomso Nelso Lesso 5: Solvig Equatios II 37
4 B Practisig (Idividual) These questios give studets opportuities to create, model, ad solve equatios by balacig. If extra support is required, provide copies of Scaffoldig for Lesso 8.5, Questio 8, p. 64. Aswers to Key Assessmet of Learig Questio 9. (Kowledge ad Uderstadig) a) 2m 3 = 31 2m = m = 34 2m 2 = 34 2 m = 17 2m 3 31 = 2(17) 3 = 34 3 = 31 The solutio is m = 17. b) 5a + 15 = 75 5a = a = 60 5a 5 = 60 5 a = 12 5a = 5(12) + 15 = = 75 The solutio is a = 12. c) = 37 ( 8) = ( 8) = 160 ( 8) 8 = = = = = 37 The solutio is = d) 214 = = = = = = = 6(32.5) + 19 = = 214 The solutio is = Key Assessmet of Learig Questio (See chart o p. 39.) e) 10w 145 = w = w = w 10 = w = w = 10(110) 145 = = 955 The solutio is w = 110. f) = 13 ( 4) = 13 7 ( 4) = 6 ( 4) 4 = 6 4 = = (24 4) + 7 = = 13 The solutio is = 24. C Extedig (Idividual) Questios 19 ad 20 challege studets to model ad solve equatios ivolvig itegers. 38 Chapter 8: Equatios ad Relatioships Copyright 2006 by Thomso Nelso
5 Closig (Whole Class) Have studets share their aswers ad methods of solutio to Questio 14. Although the itetio of the questio is to have studets write ad solve the equatio 3b + $1.15 = $10.00, be ope to other ways studets may have writte or solved the equatio (for example, = 3b). Some studets may say that sice $10.00 $1.15 = $8.85 ad Deborah bought three biders, each bider must cost $ = $2.95. Still others may say that three biders at $3 each would be $9.00. But that would oly be $1 chage ad Deborah received $1.15. So you eed to take aother $0.15 divided by three off the price of each bider. That would be $3 $0.05 = $2.95. Chapter Project Lik I this lesso, studets lear about solvig equatios usig balacig. They ca apply ad exted their uderstadig of this cocept i the Chapter Project pp Follow-Up ad Preparatio for Next Class At the ed of the class, have studets share with a parter how usig a pa balace model helps solve equatios. Assessmet of Learig What to Look for i Studet Work Assessmet Strategy: short aswer Kowledge ad Uderstadig Key Assessmet Questio 9 Solve each equatio. Show your steps. a) 2m 3 = 31 c) = 37 e) 10w 145 = 955 b) 5a + 15 = 75 d) 214 = f) = Carry Out the Pla demostrates limited or iaccurate kowledge of solvig equatios by balacig demostrates some kowledge of solvig equatios by balacig demostrates cosiderable kowledge of solvig equatios by balacig demostrates sophisticated kowledge of solvig equatios by balacig Copyright 2006 by Thomso Nelso Lesso 5: Solvig Equatios II 39
number in a data set adds (or subtracts) that value to measures of center but does not affect measures of spread.
Lesso 3-3 Lesso 3-3 Traslatios of Data Vocabulary ivariat BIG IDEA Addig (or subtractig) the same value to every umber i a data set adds (or subtracts) that value to measures of ceter but does ot affect
More informationA SECOND SOLUTION FOR THE RHIND PAPYRUS UNIT FRACTION DECOMPOSITIONS
Fudametal Joural of Mathematics ad Mathematical Scieces Vol., Issue, 0, Pages -55 This paper is available olie at http://www.frdit.com/ Published olie November 9, 0 A SECOND SOLUTION FOR THE RHIND PAPYRUS
More informationP h o t o g r a p h i c L i g h t i n g ( 1 1 B )
9 1 5 9 P h o t o g r a p h i c L i g h t i g ( 1 1 B ) 30S/30E/30M A Photography Course 9 1 5 9 : P h o t o g r a p h i c L i g h t i g ( 1 1 B ) 3 0 S / 3 0 E / 3 0 M Course Descriptio This course focuses
More informationGENETICS 101 GLOSSARY
GENETICS 101 This documet is iteded to provide a basic uderstadig of caie geetics to the America Eskimo Dog (AED) ower ad breeder. It is simplified from scietific facts ad uderstadig. It is ot iteded to
More informationWelcome to the world of the Rube Goldberg!
Welcome to the world of the Rube Goldberg! Sice 1988, tes of thousads of studets have competed i our aual Rube Goldberg Machie Cotests where they are challeged to build the wackiest workig Rube Goldberg
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U - SQUIRT MINOR '09 & MAJOR '08 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semi-fial
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U - SQUIRT MINOR '09 & MAJOR '08 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semi-fial
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U - SQUIRT MINOR '08 & MAJOR '07 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semi-fial
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U - SQUIRT MINOR '08 & MAJOR '07 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semi-fial
More informationTHE LATENT DEMAND METHOD
THE LATENT DEMAND METHOD Bruce W. Ladis, Russell M. Otteberg, Vekat R. Vattikuti SCI, Ic., 18115 U.S. Highway 41North, Suite 600, Lutz, FL 33549, USA Email: bladis@sciworld.et Travel patters i a metropolita
More informationSPH4U Transmission of Waves in One and Two Dimensions LoRusso
Waves travelig travellig from oe medium to aother will exhibit differet characteristics withi each medium. Rules A wave of fixed frequecy will have a shorter wavelegth whe passig from a fast medium to
More informationHERKIMER CENTRAL SCHOOL DISTRICT Herkimer Elementary School 255 Gros Boulevard Herkimer, New York 13350
HERKIMER CENTRAL SCHOOL DISTRICT Herkimer Elemetary School 255 Gros Boulevard Herkimer, New York 13350 Robert J. Miller Superitedet ofschools 315-866-2230, Ext. 1302 FAX 315-866-2234 Reee L. Vogt, Pricipal
More informationPrecautions for Total Hip Replacement Patients Only
Precautios for Total Hip Replacemet Patiets Oly The followig is a list of precautios to keep you from dislocatig your hip. Dislocatig meas to move a body part out of its usual positio. Durig your stay
More informationBasic Gas Spring Theory
Calculatig the iitial force The iitial force of the gas sprig ca be calculated as the sealed area of the pisto rod or the pisto (depedig o desig) multiplied by the pressure iside the gas sprig. The larger
More informationIntroductory Rules of Officiating Small Sided Games Under 6 &Under 8 HANDBOOK
Itroductory Rules of Officiatig Small Sided Games Uder 6 &Uder 8 O F F I C I A L S HANDBOOK 1 T his hadbook is iteded to be used i cojuctio with the US Youth Soccer Small-sided Game Official s classroom
More informationELIGIBILITY / LEVELS / VENUES
ELIGIBILITY / LEVELS / VENUES 10U - SQUIRT MINOR '08 & MAJOR '07 Eligibility: Top six teams i the league at each level will qualify based o regular seaso league play. Format: Divisioal crossover with semi-fial
More informationFootwork is the foundation for a skilled basketball player, involving moves
The Complete Book of Offesive Basketball Drills Basic Footwork ad Cuts Drills 2 Equipmet 16 chairs (or less) Persoel The etire team Basic Footwork ad Cuts Drills Two coaches How to Ru the Drill Five feet
More informationICC WORLD TWENTY ( WORLD CUP-2014 )- A CASE STUDY
INTERNATIONAL JOURNAL OF MATHEMATICAL SCIENCES AND APPLICATIONS Volume 5 Number 1 Jauary-Jue 215 ICC WORLD TWENTY2-214 ( WORLD CUP-214 )- A CASE STUDY Bhavi Patel 1 ad Pravi Bhathawala 2 1 Assistat Professor,
More informationIntroduction to Algorithms 6.046J/18.401J/SMA5503
Itroductio to Algorithms 6.046J/8.40J/SMA5503 Lecture 4 Prof. Charles E. Leiserso Quicsort Proposed by C.A.R. Hoare i 962. Divide-ad-coquer algorithm. Sorts i place lie isertio sort, but ot lie merge sort.
More informationThe structure of the Fibonacci numbers in the modular ring Z 5
Notes o Number Theory ad Discrete Mathematics Vol. 19, 013, No. 1, 66 7 The structure of the iboacci umbers i the modular rig Z J. V. Leyedekkers 1 ad A. G. Shao 1 aculty of Sciece, The Uiversity of Sydey
More informationMINNESOTA DEER MANAGEMENT
MINNESOTA DEER MANAGEMENT A study of huter opiios about deer populatios ad maagemet: Blocks H H5 Fial Report A cooperative study coducted by: Miesota Cooperative Fish ad Wildlife Research Uit Miesota Departmet
More informationHeadfirst Entry - Diving and Sliding
5/31/2011 Safe divig board use, safe slide use, usi Headfirst Etry - Divig ad Slidig POOLALARMS.COM HOME POOL SAFETY PRODUCTS POOL SAFETY ARTICLES & REPORTS POOL SAFETY LINKS & RESOURCES POOLALARMS.COM
More informationInfluences of Teaching Styles and Motor Educability on Learning Outcomes of Volleyball
Asia Social Sciece; Vol., No. 5; 14 ISSN 1911-17 E-ISSN 1911-5 Published by Caadia Ceter of Sciece ad Educatio Iflueces of Teachig Styles ad Motor Educability o Learig Outcomes of Volleyball Syamsuddi
More informationTHE EFFECTS OF COUPLED INDUCTORS IN PARALLEL INTERLEAVED BUCK CONVERTERS
THE EFFECTS OF COUPED INDUCTORS IN PARAE INTEREAVED BUCK CONVERTERS Paul Seria, David Fi ad Geoff Walker pseria@itee.uq.edu.au School of Iformatio Techology ad Electrical Egieerig Uiversity of Queeslad
More informationAvailable online at ScienceDirect. Procedia Engineering 113 (2015 )
Available olie at www.sciecedirect.com ScieceDirect rocedia Egieerig 3 (205 ) 30 305 Iteratioal Coferece o Oil ad Gas Egieerig, OGE-205 The twi spool efficiecy cotrol Michuri A.I. a *, Avtoomova I.V. a
More informationSt. Paul Midway YMCA Swim Lessons Schedule
St. Paul Midway YMCA Swim Lessos Schedule 2018 Late Fall October 29 - December 16 (651) 646-4557 ymcam.org/midway ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe
More informationRange St. Dev. n Mean. Total Mean % Competency. Range St. Dev. n Mean. Total Mean % Competency
CSWE Core Competecies - MSW 2013 MSW Program Dual Degree MSW/JD Program* *Due to the curret limited umber of Dual Degree studets, the MSW outcomes data represets outcomes for both programs. 1 : Idetify
More informationUniversity of California, Los Angeles Department of Statistics. Measures of central tendency and variation Data display
Uiversity of Califoria, Los Ageles Departmet of Statistics Statistics 13 Istructor: Nicolas Christou Measures of cetral tedecy Measures of cetral tedecy ad variatio Data display 1. Sample mea: Let x 1,
More informationIntersleek Pro. Divers Manual. Our World is Water CONTENTS
Itersleek Pro Divers Maual CONTENTS Itroductio.......................................2 Expectatios for Itersleek Pro........................3 I-Water Maiteace...............................4 Haulig the
More informationThe Prediction of Dynamic Strain in Leaf-Type Compressor Valves With Variable Mass and Stiffness
Purdue Uiversity Purdue e-pubs Iteratioal Compressor Egieerig Coferece School of Mechaical Egieerig 1972 The Predictio of Dyamic Strai i Leaf-Type Compressor Valves With Variable Mass ad Stiffess M. Moavei
More informationRochester YMCA Swim Lessons Schedule
Rochester YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (507) 287-2260 www.ymcam.org/rochester ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay
More informationCharacterization of Refrigeration System Compressor Performance
Purdue Uiversity Purdue e-pubs Iteratioal Refrigeratio ad Air Coditioig Coferece School of Mechaical Egieerig 2002 Characterizatio of Refrigeratio System Compressor Performace A. Mackese Uiversity of Wiscosi-Madiso
More informationWondering where to start?
New Hope YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (763) 535-4800 www.ewhopeymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe
More informationThis report presents an assessment of existing and future parking & traffic requirements, for the site based on the current development proposal.
CR166916b02 20 Jue 2017 Melida Dodso Melida Dodso Architects PO Box 5635 Hughes ACT 2605 Email: mdodso@melidadodsoarchitects.com.au Dear Melida, Project: Dickso Apartmets Lowrie St Re: Statemet o Parkig
More informationHastings YMCA Swim Lessons Schedule
Hastigs YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (651) 480-8887 www.hastigsareaymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay
More informationWondering where to start?
Blaisdell YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (612) 827-5401 www.blaisdellymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay
More informationDraft White-tailed Deer Management Policy for Ontario
Draft White-tailed Deer Maagemet Policy for Otario Otario Miistry of Natural Resources ad Forestry March 2017 Cette publicatio est dispoible e fraçais. Pour obteir de l aide e fraçais, veuillez commuiquer
More informationWondering where to start?
Woodbury YMCA Swim Lessos Schedule 2017 Late Fall October 30 - December 17 (651) 731-9507 ymcam.org/woodbury ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationEmma B. Howe YMCA Swim Lessons Schedule
Emma B. Howe YMCA Swim Lessos Schedule 2018 Summer Jue 4 - September 9 (763) 785-7882 ymcam.org/emmabhowe ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More information(612)
Shoreview YMCA Swim Lessos Schedule Late Sprig 2019 - April 15 - Jue 2 (612) 230-9622 www.shoreviewymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationWondering where to start?
Bursville YMCA Swim Lessos Schedule 2018 Witer Jauary 8 - February 25 (952) 898-9622 ymcam.org/bursville ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationSPEED OF SOUND MEASUREMENTS IN GAS-MIXTURES AT VARYING COMPOSITION USING AN ULTRASONIC GAS FLOW METER WITH SILICON BASED TRANSDUCERS
SPEED OF SOUND MEASUREMENTS IN GAS-MIXTURES AT VARYING COMPOSITION USING AN ULTRASONIC GAS FLOW METER WITH SILICON BASED TRANSDUCERS Torbjör Löfqvist, Kęstutis Sokas, Jerker Delsig EISLAB, Departmet of
More informationWondering where to start?
Ridgedale YMCA Swim Lessos Schedule 2019 Witer Jauary 1 - February 24 (952) 544-7708 www.ridgedaleymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationA Genetic Program for Breeding Racing Pigeons
A Geetic Program for Breedig Racig Pigeos Dave Shewmaker Shewmaker Geetics PO Box 460 Elk Grove, CA 95759-0460 www.shewmaker shewmaker.com dave@shewmaker shewmaker.com Overview My biases Urba Legeds vs
More informationWest St Paul YMCA Swim Lessons Schedule
West St Paul YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (651) 457-0048 www.weststpaulymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay
More informationASSESSMENT SCORING SYSTEM OF ROAD SAFETY INFRASTRUCTURE
ASSESSMENT SCORING SYSTEM OF ROAD SAFETY INFRASTRUCTURE Case Study of Mihag District i Shaghai, Chia Yue Wag, Daocheg Su 2 School of Traffic ad Trasportatio Egieerig, Togi Uiversity, Shaghai, Chia ABSTRACT
More informationEagan YMCA Swim Lessons Schedule
Eaga YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (651) 456-9622 www.eagaymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationBike MS: 2015 Team Village guide
Bike MS: 2015 Team Village guide bike to create a world free of MS bikems.org 1 Welcome to the Team Village! It is our hoor to ivite you to joi us at this year s team village We kow it takes may people
More informationPolicy sensitivity analysis of Karachi commuters
Policy sesitivity aalysis of Karachi commuters A. Q. Memo 1 & K. Sao 2 1 Departmet of Civil Egieerig, NED Uiversity of Egieerig ad Techology, Karachi, Pakista 2 Departmet of Civil ad Evirometal Egieerig,
More information"The twisting movement of any hoof should, for physiological reasons, not be hindered by Shoeing." (Lungwitz 1884)
Volume 15: Issue 2 Shoeig for Rotatioal Deviatio of the Equie Limb by Michael J. Wildestei CJF, FWCF (Hos) Examiatio of a horse prelimiary to shoeig should be made while the aimal is at rest ad afterwards
More informationVersion IV: April a publication from
Versio IV: April 2013 a publicatio from AWRF Associated Wire Rope Fabricators Recommeded Practice ad Guidelie Disclaimer for AWRF Recommeded Guidelie Swager Safety Guide Associated Wire Rope Fabricators
More informationAndover YMCA Swim Lessons Schedule
Adover YMCA Swim Lessos Schedule 2018 Early Fall September 10 - October 28 (763) 230-9622 www.adoverymca.org ABOUT Y SWIM LESSONS The Y strives to help all ages lear how to swim, so they ca stay safe aroud
More informationActive Travel The Role of Self-Selection in Explaining the Effect of Built Environment on Active Travel
Active Livig Research Buildig Evidece to Prevet Childhood Obesity ad Support Active Commuities RESE ARCH brief Fall 2009 activelivigresearch.org Active Travel The Role of Self-Selectio i Explaiig the Effect
More informationn UL Listed and FM Approved for n Solenoid control n Quick pressure relief valve 73Q n Pressure sustaining & reducing valve 723
Pressure Relief/Sustaiig Valve Prioritizig pressure zoes Esurig cotrolled pipelie fill-up Prevetig pipelie emptyig Pump overload & cavitatio protectio Safeguardig pump miimum flow Excessive lie pressure
More informationA student of the cattle industry, Jarold Callahan was well-equipped to help lead the American Angus Association through uncharted territory.
A studet of the cattle idustry, Jarold Callaha was well-equipped to help lead the America Agus Associatio through ucharted territory. Story & photos by Shaua Rose Hermel F rom a bird s-eye view over cetral
More informationClimbing/Rappelling NATIONAL STANDARDS BOY SCOUTS OF AMERICA
2007 Climbig/Rappellig NATIONAL STANDARDS BOY SCOUTS OF AMERICA These stadards apply to coucil ad district climbig/rappellig activities. Climb O Safely, No. 20-099B, applies to uit activities. Toppig Out,
More informationWayne Goodwin - Commissioner of Insurance, State Fire Marshal. Rick McIntyre - Assistant State Fire Marshal, Senior Deputy of OSFM
Waye Goodwi - Commissioer of Isurace, State Fire Marshal Rick McItyre - Assistat State Fire Marshal, Seior Deputy of OSFM Deputy Director s Kelly Rasdell - Deputy Director of Prevetio ad Grats Waye Bailey
More informationA Data Envelopment Analysis Evaluation and Financial Resources Reallocation for Brazilian Olympic Sports
WSEAS TRANSACTIONS o SYSTEMS Reato Pescarii Valério, Lidia Agulo-Meza A Data Evelopmet Aalysis Evaluatio ad Fiacial Resources Reallocatio for Brazilia Olympic Sports RENATO PESCARINI VALÉRIO LIDIA ANGULO-MEZA
More informationLecture #5.1 Electromagnetic Waves During our study of classical mechanics we discussed mechanical waves. The most important everyday phenomenon to
Leture #5. Eletromageti Waves Durig our study of lassial mehais we disussed mehaial waves. The most importat everyday pheomeo to whih you a apply your kowledge of mehaial waves is distributio of soud.
More informationDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING, THE UNIVERSITY OF NEW MEXICO ECE-238L: Computer Logic Design Fall Notes - Chapter 6.
PARTMNT OF LCTRICAL AN COMPUTR NGINRING, TH UNIVRSITY OF NW MXICO C-238L: Computer Logic esig Fall 23 RGISTRS: Notes - Chapter 6 -bit Register: This is a collectio of '' -type flip flops, where each flip
More informationDAMAGE ASSESSMENT OF FIBRE ROPES FOR OFFSHORE MOORING
RECOMMENDED PRACTICE DNV-RP-E304 DAMAGE ASSESSMENT OF FIBRE ROPES FOR OFFSHORE MOORING APRIL 2005 FOREWORD (DNV) is a autoomous ad idepedet foudatio with the objectives of safeguardig life, property ad
More informationHypothesis testing: ANOVA Test of the equality of means among c groups. Flow-chart
Hypothesis testig: ANOVA Test of the equality of meas amog groups February 6, 200 Moez Hababou() Flow-hart Desribig iformatios Drawig olusios Foreastig Improve busiess proesses Data Colletio Probability
More informationPERFORMANCE TEAM EVALUATION IN 2008 BEIJING OLYMPIC GAMES
XV INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND OPERATIONS MANAGEMENT The Idustrial Egieerig ad the Sustaiable Developmet: Itegratig Techology ad Maagemet. Salvador, BA, Brazil, 06 to 09 October
More informationCatenary Analysis and Calculation Method of Track Rope of Cargo Cableway with Multiple Loads
MATEC Web of Cofereces 8, 01008 (016) DOI: 10.1051/ mateccof/016801008 DME 016 Cateary Aalysis ad Calculatio Method of Track Rope of Cargo Cableway with Multiple Loads Jia Qi a, Ju Che, Liag Qiao, Jiacheg
More informationIRS ISSUES PROPOSED REGULATIONS FOR COMPARATIVE EFFECTIVENESS RESEARCH FEES
HUMAN CAPITAL PRACTICE ALERT: HEALTH CARE REFORM BILL July 2012 www.willis.com IRS ISSUES PROPOSED REGULATIONS FOR COMPARATIVE EFFECTIVENESS RESEARCH FEES The Comparative Effectiveess Research (CER) fee
More informationHeld under the sanction of USA Swimming, issued by North Carolina Swimming, Inc. Sanction No. NC11117
The Greesboro Swimmig Associatio's 2011 Joh Gordo Dewey Ivitatioal Swim Meet November 19-20, 2011 The Greesboro Aquatic Ceter 1921 West Lee Street, Greesboro, NC 27403 SANCTION: HOST: FACILITY: Held uder
More informationbike ms 2014: Team Village Guide
bike ms 2014: Team Village Guide Historic New Ber Ride 2014 bikemsewber.org 1 Team Village What is Team Village? Team Villages are the ceterpoit of the Bike MS overight, as well as a gatherig place for
More informationNatural Resource Conservation and Preservation. Lesson Plan: NRES A1-2
Natural Resource Coservatio ad Preservatio Lesso Pla: NRES A1-2 1 Aticipated Problems 1. Why are coservatio ad preservatio importat? 2. What are some importat historic evets ad people associated with wildlife
More informationDFC NIST DIGITAL MASS FLOW CONTROLLERS. DFC with optional LCD readout PROG RS485. Programmable Mass Flow Controller with Digital Signal Processing
Programmable Mass Flow Cotroller with Digital Sigal Processig Microprocessor drive digital flow cotrollers allow oe to program, record, ad aalyze flow rates of various gases with a computer via a RS-485
More informationSequential parimutuel games
Sequetial parimutuel games Rob Feeey ad Stephe P. Kig Departmet of Ecoomics The Uiversity of Melboure Parkville, Vic. 3052. Australia Abstract: I a parimutuel bettig system, a successful player s retur
More informationoperate regenerator top without boiling aq. amine solution.
HSRemoval-MaterialBalacemcd Rough material balace for removal of H S from shale gas with MDEA ad recovery of elemetal sulfur via the Claus process The solvet has bee dow-selected to be methyldiethaolamie
More informationThe Real Thing?: Representing the Bullfight and Spain in Death in the Afternoon by Peter Messent
The Real Thig?: Represetig the Bullfight ad Spai i Death i the Afteroo by Peter Messet Hemigway does t give us the real thig i the book; istead he gives us his versio of it Phrase used several times (both
More informationThe printer s guide to health and safety
Health ad Safety The priter s guide to health ad safety This is a free-to-dowload, web-friedly versio of The priter s guide to health ad safety (Secod editio, published 2002). This versio has bee adapted
More informationThe new name for... Mines Rescue Service
Health ad Safety Traiig for all Idustries The ew ame for... Mies Rescue Service Expert traiig providers i: High Risk Etry ad Rescue Workig i Cofied Spaces Workig at Height Health ad Safety First Aid Fire
More informationEuropean Works Council Developments Before, During and After the Crisis
Corell Uiversity ILR School DigitalCommos@ILR Iteratioal Publicatios Key Workplace Documets 2015 Europea Works Coucil Developmets Before, Durig ad After the Crisis Eurofoud Follow this ad additioal works
More informationControlling noise at work
Health ad Safety Cotrollig oise at work The Cotrol of Noise at Work Regulatios 2005 Guidace o Regulatios This is a free-to-dowload, web-friedly versio of L108, (Secod editio, published 2005). This versio
More informationWhen rule-based models need to count
Whe rule-based models eed to cout Pierre Boutillier, Ioaa Cristescu To cite this versio: Pierre Boutillier, Ioaa Cristescu. Whe rule-based models eed to cout. [Research Reort] Harvard Medical School. 2017.
More informationCincinnati United Lakota Monroe
Ciciati Uited Lakota Moroe U9-U19/2008-1999 Boys ad Girls Brigig the Best Together! #1 Club i Ciciati for Player Developmet Missio of CU The goal of Ciciati Uited Soccer Club is to provide higher level
More information» WYOMING s RIDE 2013
» WYOMING s RIDE 2013 WYOMING S RIDE 2013 preseted by First Iterstate Bak of Wyomig bikemswyomig.org 1 We are people who wat to do somethig about ow.» Our Wyomig Bike MS Ride Two-Day Wyomig Ride: To view
More informationThe Analysis of Bullwhip Effect in Supply Chain Based on Strategic Alliance
The Aalysis of Bullwhip Effect i Supply Chai Based o Strategic Alliace Rui Xu, Xiaoli Li, Xiaomi Sog, Gag Liu School of Busiess, Hubei Uiversy, Wuha, 430062, P. R. Chia, wdxj826@126.com Abstract. Bullwhip
More informationDeveloping process safety indicators
Health ad Safety Developig process safety idicators A step-by-step guide for chemical ad major hazard idustries This is a free-to-dowload, web-friedly versio of HSG254 (First editio, published 2006). This
More informationHuman-Robot Interaction: Group Behavior Level
SPECOM'006, St. Petersburg, 5-9 Jue 006 Huma-Robot Iteractio: Group Behavior Level Lev Stakevich, Deis Trotsky Sait Petersburg State Techical Uiversity 9, Politechicheskaya, St. Petersburg, 955, Russia
More informationA Comparison of MOEA/D, NSGA II and SPEA2 Algorithms
Iteratioal Joural of Egieerig Treds ad Applicatios (IJETA) Volume 4 Issue 6, Nov-Dec 7 RESEARCH ARTICLE A Comparo of MOEA/D, ad Algorithms Rajai [1], Dr. Aad Prakash [] Asstat Professor of Computer Sciece
More informationPatrick Boston (Leeds University) and Mark Chapman (Edinburgh University)
Iversio o requecy-depedet AVO data or luid properties Patric Bosto (Leeds Uiversity) ad Mar Chapma (Ediburgh Uiversity) Summary A umber o methods to estimate the requecy-depedece o relectivity have bee
More informationCLASS: XI: MATHEMATICS
LASS: XI: MATHEMATIS ERMUTATIONS AND OMBINATIONS RATIE QUESTIONS ON FATORIAL AND FUNDAMENTAL RINILES OF OUNTING ove the followig fo N, 1. (2 )! 2.!.[1.3.5...(2 1)] FORMULA USED Factoial otatio:! o 1.!
More informationBrian Hayes. A reprint from. American Scientist. the magazine of Sigma Xi, the Scientific Research Society
COMPUTING SCIENCE HOW TO AVOID YOURSELF Bria Hayes A reprit from America Scietist the magazie of Sigma Xi, the Scietific Research Society Volume 86, Number 4 July August, 1998 pages 314 319 This reprit
More informationOperating Instructions SURGICAL POWER & ACCESSORIES
SURGICAL POWER & ACCESSORIES Table of Cotets PAGE 2 PAGE 3-5 PAGE 6 Itroductio Warig Traiig Setup Illustratio Drill Motor Setup Quick Coectors Motor / Foot Cotrol Coectios Attachmet Istallatio Straight
More informationEquipment. Rackets are fragile. Handle the shuttlecocks carefully and only by their rubber tips.
Badmito Overvie ad History Badmito is a racket sport that is played o a court divided by a et five feet high. The game is played ith a shuttlecock ( bird ). Ca be played as sigles or doubles. The object
More informationHazard Identificaiton of Railway Signaling System Using PHA and HAZOP Methods
www.ijape.org Iteratioal Joural of Automatio ad Power Egieerig (IJAPE) Volume 2 Issue 2, February 2013 Hazard Idetificaito of Railway Sigalig System Usig PHA ad HAZOP Methods Jog Gyu Hwag *1, Hyu Jeog
More informationKentucky SCL National Core Indicators Data
Kentucky SCL ational Core dicators Data 2013-2014 Laura. Butler Table of Contents DEMOGRAPHICS... 2 WORK... 7 RELATIOSHIPS... 11 WELLESS... 13 MEDICATIO... 14 HEALTH... 15 COMMUITY ICLUSIO... 18 CHOICE
More informationChilled Mirror Dew Point Instrument
102 The Relatioship Betee Gas Ad Pressure (SF6) Whe the gas is i the temperature belo the codesig poit, de poit measuremet is ot available This gas codeses o the mirror, the figure belo idicates the relatioship
More informationThe budget for the London 2012 Olympic and Paralympic Games
The budget for the Lodo 2012 Olympic ad Paralympic Games REPORT BY THE COMPTROLLER AND AUDITOR GENERAL HC 612 Sessio 2006-2007 20 July 2007 The Natioal Audit Office scrutiises public spedig o behalf of
More informationSeated valves (PN 16) VF 2-2-way valve, flange VF 3-3-way valve, flange
Data sheet Seated valves (PN 16) VF 2-2-way valve, flage VF 3-3-way valve, flage Descriptio Features: Bubble tight desig 15-80, 200-300 Sap mechaical coectio together with AMV(E) 335, AMV(E) 435 Dedicated
More informationMayors Prayer Breakfast
MIC HIG AN I N F O R M A T I V E Mayors Prayer Breakfast The mayors of the five Grosse Poites ad Harper Woods have plaed their 30th Aual Mayors Prayer Breakfast for Thursday, May 5, 2016 at 7:30 a.m. i
More information1. Write down the ideal gas law and define all its variable and parameters. 2. Calculate the values and units of the ideal gas law constant R.
Ideal Gases Objectives:. Write dow the ideal gas law ad defie all its variable ad parameters.. Calculate the values ad uits of the ideal gas law costat R. 3. Calculate the value of oe variable,, T, or,
More informationThe Complete Book of Offensive. Basketball Drills GAME-CHANGING DRILLS FROM AROUND THE WORLD GIORGIO GANDOLFI
The Complete Book of Offesive Basketball Drills GAME-CHANGING DRILLS FROM AROUND THE WORLD GIORGIO GANDOLFI New York Chicago Sa Fracisco Lisbo Lodo Madrid Mexico City Mila New Delhi Sa Jua Seoul Sigapore
More informationHEEL RETENTION SYSTEMS
TECHNOLOGY OVERVIEW the whole may be greater tha the sum of its parts. But the parts are pretty cool too. Our costat pursuit of excellece is deeply embedded i our desig, techology ad materials. Every attribute
More informationOutline. Changing needs in Urban Traffic. Introduction The starting point Basic principles Analysis Facts Changes Context Solutions Key messages
Chagig eeds i Urba Traffic Rob Methorst Chair COST 358 Pedestrias Quality Needs Cetre for Trasport ad Navigatio 27th of October 2011 Outlie Itroductio The startig poit Basic priciples Aalysis Facts Chages
More informationMST 121: Supplementary resource material for Chapter A1, Sequences
MST : Supplemetary resource material for Chapter A Sequeces For each of the followig sequeces (a) 9 (b) (c) 8 7 Write ow the et terms of the sequece Write ow a epressio for the close form of the sequece
More informationBIKE MS: THE CITRUS TOUR, MAY 21-22, 2016 PARTNERSHIP PROPOSAL
BIKE MS: THE CITRUS TOUR, MAY 21-22, 2016 PARTNERSHIP PROPOSAL 1 Bike MS: 2016 Partership Proposal VISION STATEMENT For cyclists ad all those seekig a persoal challege ad a world free of MS, Bike MS is
More information