Page 124 - The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007

Grade 12, University Preparation
1. design and carry out a culminating investigation* that requires the integration and application of the knowledge and skills related to the expectations of this course;
2. communicate the findings of a culminating investigation and provide constructive critiques of the investigations of others.
1. Designing and Carrying Out a Culminating Investigation
2. Presenting and Critiquing the Culminating Investigation
THE ONTARIO CURRICULUM, GRADES 11 AND 12 | Mathematics
OVERALL EXPECTATIONS
By the end of this course, students will:
SPECIFIC EXPECTATIONS
By the end of this course, students will:
1.1 pose a significant problem of interest that requires the organization and analysis of a suitable set of primary or secondary quantita- tive data (e.g., primary data collected from a student-designed game of chance, secondary data from a reliable source such as E-STAT), and conduct appropriate background research related to the topic being studied
1.2 design a plan to study the problem (e.g., iden- tify the variables and the population; develop an ethical survey; establish the procedures for gathering, summarizing, and analysing the primary or secondary data; consider the sam- ple size and possible sources of bias)
1.3 gather data related to the study of the problem (e.g., by using a survey; by using the Internet; by using a simulation) and organize the data (e.g., by setting up a database; by establishing intervals), with or without technology
1.4 interpret, analyse, and summarize data related to the study of the problem (e.g., generate and interpret numerical and graphical statistical summaries; recognize and apply a probability distribution model; calculate the expected value of a probability distribution), with or without technology
1.5 draw conclusions from the analysis of the data (e.g., determine whether the analysis solves the problem), evaluate the strength of the evidence (e.g., by considering factors such as sample size or bias, or the number of times a game is played), specify any limitations of the conclusions, and suggest follow-up pro- blems or investigations
By the end of this course, students will:
2.1 compile a clear, well-organized, and detailed report of the investigation
2.2 present a summary of the culminating investi- gation to an audience of their peers within a specified length of time, with technology (e.g. presentation software) or without technology
2.3 answer questions about the culminating inves- tigation and respond to critiques (e.g., by elaborating on the procedures; by justifying mathematical reasoning)
2.4 critique the mathematical work of others in a constructive manner
E. CULMINATING DATA MANAGEMENT INVESTIGATION
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*This culminating investigation allows students to demonstrate their knowledge and skills from this course by addressing a single problem on probability and statistics or by addressing two smaller problems, one on probability and the other on statistics.