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If you need help with any of the skills listed in purple below, refer to Appendix A.ġ. The chapter also discusses useful data-management tools including iterative processes, databases, software, and simulations. You will learn techniques for determining the number of direct and indirect routes from one city to another. This chapter introduces graph theory, matrices, and technology that you can use to model networks like the one shown. Travelled where you were able to reach your destination directly.Ĭhange vehicles exactly once before reaching your destination.įrom Montréal to Toronto in the least amount of time? Explain your reasoning.Ĭhooses not to have a direct train from Kingston to London. Montréal Sudbury Ottawa Kingston Toronto 1. The arrows represent routes on which you do not have to change trains. The following map shows the VIA Rail routes for eight major cities. However, it is not always possible to reach your destination by a non-stop route. VIA Rail Routes When travelling by bus, train, or airplane, you usually want to reach your destination without any stops or transfers. Solve problems drawn from a variety of applications, using matrix methods. Demonstrate proficiency in matrix operations, including addition, scalar multiplication, matrix multiplication, the calculation of row sums, and the calculation of column sums, as necessary to solve problems, with and without the aid of technology. Represent numerical data, using matrices, and demonstrate an understanding of terminology and notation related to matrices. Solve network problems, using introductory graph theory. Represent complex tasks or issues, using diagrams. Represent simple iterative processes, using diagrams that involve branches and loops. Create database or spreadsheet templates that facilitate the manipulation and retrieval of data from large bodies of information that have a variety of characteristics. Use the Internet effectively as a source for databases. Locate data to answer questions of significance or personal interest, by searching well-organized databases.