Alexander R. Geometry and Discrete Mathematics 2003

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Alexander R. Geometry and Discrete Mathematics 2003

Textbook in PDF format This book is about methods of proof, and your independent investigation of extended problems, as well as the development of new mathematical content. The Ontario curriculum for Geometry and Discrete Mathematics has three strands: Geometry, Proof and Problem Solving, and Discrete Mathematics. The structure of Addison-Wesley Geometry and Discrete Mathematics 12 mirrors the structure of the course, with a unit that relates to each strand in the curriculum. Unit I Geometry; Unit II Proof and Problem Solving; Unit III Discrete Mathematics. The methods of proof, and opportunities for problem solving, appear throughout Units I and III. Unit II presents insights into the reason for proof, specific methods of proof, and many thought-provoking examples and exercises in which you devise your own approach to solve a problem. The curriculum includes several expectations that invite content extensions, and larger, more comprehensive problems for you to solve. The course emphasizes the solving of a problem over an extended period of time, with opportunities to reflect, and then return to find new perspectives, and to generate alternative solutions. You will use a variety of tools to explore many aspects of a problem. For example, you will solve a linear system by hand, by using a graphing calculator, and by using a spreadsheet. Many exercises in Addison-Wesley Geometry and Discrete Mathematics 12 will challenge your thinking. Opportunities for extensions of content, and for solving classic problems, are provided in Performance Problems, which appear five times in the book, after chapters 3, 4, 5, and 7, and with Cumulative Performance Problems at the end