美国加州教材 Mathematics - Mcgraw-hill Ryerson Mathematics Of Data Management Grade 12, University Preparation.pdf

Tools for Data ManagementSpecific ExpectationsSectionLocate data to answer questions of significance or personal interest,bysearching well-organized databases.Use the Internet effectively as a source for databases.Create database or spreadsheet templates that facilitate the manipulationand retrieval of data from large bodies of information that have a varietyof characteristics.Represent simple iterative processes,using diagrams that involvebranches and loops.Represent complex tasks or issues,using diagrams.Solve network problems,using introductory graph theory.Represent numerical data,using matrices,and demonstrate anunderstanding of terminology and notation related to matrices.Demonstrate proficiency in matrix operations,including addition,scalarmultiplication,matrix multiplication,the calculation of row sums,and thecalculation of column sums,as necessary to solve problems,with andwithout the aid of technology.Solve problems drawn from a variety of applications,using matrixmethods.CHAPTER1CHAPTER11.31.31.2,1.3,1.41.11.1,1.51.51.6,1.71.6,1.71.6,1.7VIA Rail RoutesWhen travelling by bus,train,or airplane,you usually want to reach your destinationwithout any stops or transfers.However,it is not always possible to reach yourdestination by a non-stop route.Thefollowing map shows the VIA Rail routesfor eight major cities.The arrowsrepresent routes on which you do not haveto change trains.1.a)List several routes you havetravelled where you were able toreach your destination directly.b)List a route where you had tochange vehicles exactly once beforereaching your destination.2.a)List all the possible routes fromMontral to Toronto by VIA Rail.b)Which route would you take to getfrom Montral to Toronto in theleast amount of time?Explain yourreasoning.3.a)List all the possible routes fromKingston to London.b)Give a possible reason why VIA Railchooses not to have a direct trainfrom Kingston to London.This chapter introduces graph theory,matrices,and technology that you can useto model networks like the one shown.Youwill learn techniques for determining thenumber of direct and indirect routes fromone city to another.The chapter alsodiscusses useful data-management toolsincluding iterative processes,databases,software,and simulations.Chapter ProblemTorontoMontralKingstonOttawaSudburyNiagara FallsLondonWindsor4MHR Tools for Data ManagementReview of Prerequisite SkillsIf you need help with any of the skills listed in purplebelow,refer to Appendix A.1.Order of operations Evaluate eachexpression.a)(4)(5)+(2)(3)b)(2)(3)+(5)(3)+(8)(7)c)(1)(0)+(1)(1)+(0)(0)+(0)(1)d)(2)(4)+?132?(3)22.Substituting into equations Given f(x)=3x2 5x+2 and g(x)=2x 1,evaluate each expression.a)f(2)b)g(2)c)f(g(1)d)f(g(1)e)f(f(2)f)g(f(2)3.Solving equations Solve for x.a)2x 3=7b)5x+2=8c)5=5d)4x 3=2x 1e)x2=25f)x3=125g)3(x+1)=2(x 1)h)=4.Graphing data In a sample of 1000Canadians,46%have type O blood,43%have type A,8%have type B,and 3%havetype AB.Represent these data with a fully-labelled circle graph.5.Graphing data Organize the following set ofdata using a fully-labelled double-bar graph.6.Graphing data The following table lists theaverage annual full-time earnings for malesand females.Illustrate these data using afully-labelled double-line graph.3x 1?42x 5?2x?2CitySnowfall(cm)Total Precipitation(cm)St.Johns322.1148.2Charlottetown338.7120.1Halifax261.4147.4Fredericton294.5113.1Qubec City337.0120.8Montral214.294.0Ottawa221.591.1Toronto135.081.9Winnipeg114.850.4Regina107.436.4Edmonton129.646.1Calgary135.439.9Vancouver54.9116.7Victoria46.985.8Whitehorse145.226.9Yellowknife143.926.7YearWomen($)Men($)198928 21942 767199029 05042 913199129 65442 575199230 90342 984199330 46642 161199430 27443 362199530 95942 338199630 60641 897199730 48443 804199832 55345 0705Review of Prerequisite Skills MHR7.Using spreadsheets Refer to the spreadsheetsection of Appendix B,if necessary.a)Describe how to refer to a specific cell.b)Describe how to refer to a range of cellsin the same row.c)Describe how to copy data into anothercell.d)Describe how to move data from onecolumn to another.e)Describe how to expand the width of acolumn.f)Describe how to add another column.g)What symbol must precede amathematical expression?8.Similar triangles Determine which of thefollowing triangles are similar.Explainyour reasoning.9.Number patterns Describe each of thefollowing patterns.Show the next threeterms.a)65,62,59,b)100,50,25,c)1,d)a,b,aa,bb,aaa,bbbb,aaaa,bbbbbbbb,10.Ratios of areas Draw two squares on a sheetof grid paper,making the dimensions of thesecond square half those of the first.a)Use algebra to calculate the ratio of theareas of the two squares.b)Confirm this ratio by counting thenumber of grid units contained in eachsquare.c)If you have access to The GeometersSketchpad or similar software,confirmthe area ratio by drawing a square,dilating it by a factor of 0.5,andmeasuring the areas of the two squares.Refer to the help menu in the software,if necessary.11.Simplifying expressions Ex