This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analysing large amounts of information; solve problems involving probability and statistics; and carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest
Course Code: MDM4U
Course Type: University/College Preparation
Prerequisite:Grade 11 Functions, University, or Grade 11 Functions and Applications, University/College
Credit Value: 1
Unit 1: Tools for Data Management
Students learn the new terminology that they use in Data Management class and use matrices to organize and analyze data. Concepts and skills using the small data sets can be applied to the large data sets with the use of technology.
Unit 2: Statistics of One Variable
Students learn techniques for sampling data, including awareness of bias. They analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries. They also learn the measure of central tendency and the measures of spread using standard deviation, quartiles, and z-score.
Unit 3: Statistics of Two Variable
Students learn techniques for sampling data, including awareness of bias. They analyze, interpret, and draw conclusions from two-variable data using numerical and graphical summaries. Students will recognize that the analysis of two-variable data involves the relationship between the two attributes, recognize the correlation coefficient as a measure of the fit of the data to a linear model.
Unit 4: Permutations and Organized Counting
Students learn solving problems involving the application of permutations to determine the probability of an event and recognize the use of permutations as counting techniques with advantages over other counting techniques (e.g., making a list; using a tree diagram; making a chart; drawing a Venn diagram).
Unit 5: Combinations and the Binomial Theorem
Students learn solving problems involving the application of combination to determine the probability of an event and recognize the use of combinations as counting techniques with advantages over other counting techniques (e.g., making a list; using a tree diagram; making a chart; drawing a Venn diagram). They also make connections, through investigation, between combinations and Pascal’s triangle.
Unit 6: Probability
Students understand probability problems involving discrete sample spaces and using counting principles such as permutations and combinations. They also understand probability distributions for discrete random variables and continuous random variables.
Unit 7: Culminating Data Management Investigation
Students prepare to successfully complete the culminating project outlined in the integrations of the techniques of Data Management strand. Students require the integration and application of the knowledge and skills related to the expectations of this course and communication the findings of a culminating investigation with peers.