Page 54 - Math 9-10 (2009)

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Foundations of Mathematics, Grade 10, Applied (MFM2P)
This course enables students to consolidate their understanding of linear relations and extend their problem-solving and algebraic skills through investigation, the effective use of techno- logy, and hands-on activities. Students will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Mathematical process expectations. The mathematical processes are to be integrated into student learning in all areas of this course.
Throughout this course, students will:
PROBLEM SOLVING
REASONING AND PROVING
REFLECTING
SELECTING TOOLS AND COMPUTATIONAL STRATEGIES
CONNECTING
REPRESENTING
COMMUNICATING
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develop,select,apply,andcompareavarietyofproblem-solvingstrategiesastheyposeand solve problems and conduct investigations, to help deepen their mathematical under- standing;
developandapplyreasoningskills(e.g.,recognitionofrelationships,generalization through inductive reasoning, use of counter-examples) to make mathematical conjectures, assess conjectures, and justify conclusions, and plan and construct organized mathematical arguments;
demonstrate that they are reflecting on and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem (e.g., by assessing the effectiveness of strategies and processes used, by proposing alternative approaches, by judging the reasonableness of results, by verifying solutions);
selectanduseavarietyofconcrete,visual,andelectroniclearningtoolsandappropriate computational strategies to investigate mathematical ideas and to solve problems;
makeconnectionsamongmathematicalconceptsandprocedures,andrelatemathematical ideas to situations or phenomena drawn from other contexts (e.g., other curriculum areas, daily life, current events, art and culture, sports);
createavarietyofrepresentationsofmathematicalideas(e.g.,numeric,geometric,alge- braic, graphical, pictorial representations; onscreen dynamic representations), connect and compare them, and select and apply the appropriate representations to solve problems;
communicatemathematicalthinkingorally,visually,andinwriting,usingmathematical vocabulary and a variety of appropriate representations, and observing mathematical conventions.