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MDM4U – Mathematics of Data Management – University Preparation

$479

Course Title: Mathematics of Data Management, Grade 12, University Preparation (MDM4U)
Course Name: Mathematics of Data Management
Course Code: MDM4U
Grade: 12
Course Type: University Preparation
Credit Value: 1.0
Prerequisite: MCR3U, Functions, Grade 11, University Preparation or MCF3M, Functions and Applications, Grade 11, University / College Preparation
Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)
Course Developer: 24H Education
Department: Mathematics
Department Head: André Bergeron, B.Sc., B.Ed., OCT
Development Date: 2007
Most Recent Revision Date: 2013
Tuition Fee (CAD): $479

SKU: course-97 Category:

Description

organizing and analyzing 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.

 

Unit Titles and Descriptions Time and Sequence
1 Tools for Data Management
Data Management comprises all the disciplines related to managing data as a valuable resource. Data does not have meaning unless we are able to use it, make decisions and sound judgment based on it. We do this by using tools for managing the data. In this course we will be using spreadsheets and graphing software to perform complex calculations and link, search, sort and graph data. Among other assignments students are introduced in this unit to the Statistics Canada website where they will learn methods of data retrieval and the creation of graphs using Estat.
10 hours
2 Collecting Data
To summarize data and recognize the trends, we use tables and graphs. In this unit students will demonstrate an understanding of the role of data in statistical studies and the variability inherent in data, and distinguish different types of data; describe the characteristics of a good sample, some sampling techniques, and principles of primary data collection, and collect and organize data to solve a problem; demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.
10 hours
3 Statistics of One Variable
This unit will focus on the analysis and presentation of one-variable data. Students will process raw data and develop the skills to summarize it in terms of central tendency, spread and distribution. Students will analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries and explore methods of describing a single piece of data in the context of a wider data set. Students use a variety of different software to analyze the presentation of data that has been collected and processed by others data. They develop the critical thinking skills necessary to interpret and assess the validity of secondary data and conclusions drawn from it, maintaining an awareness of the possibility of bias and misrepresentation, either deliberate or accidental.
14 hours
4 Statistics of Two Variables
Two-variable statistics are the basis for many decisions personally and as a society. Although most two variable statistical tests are beyond the scope of secondary school math, this unit will examine some of the basic topics in two-variable statistics. Twovariable statistics provide methods for detecting relationships between variables and for developing mathematics of these relationships. The visual pattern in a graph or plot can often reveal the nature of the relationship between two variables. In this unit students will analyse, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries.
14 hours
5 Combinatorics
Combinatorics is the branch of mathematics dealing with ideas and methods for counting, especially in complex situations. The techniques and mathematical logic for counting possible arrangements or outcomes are useful for a wide variety of applications. A computer programmer writing software for a game or industrial process would use these techniques, as would a basketball coach planning potential line-ups for a game, or a school board trying to make the most efficient use of its buses. Students will investigate the concepts of combinations and permutations. They will consider situations in which each should be used, and develop the skills to be able to determine which is most appropriate.
14 hours
6 Probability
Probability was first studied mathematically in the 17th century when Pierre de Fermat and Blaise Pascal attempted to analyze problems associated with gambling. Modern probability theory grew from their correspondence. In this unit students will solve problems involving the probability of an event or a combination of events for discrete sample spaces; solve problems involving the application of permutations and combinations to determine the probability of an event; demonstrate an understanding of discrete probability distributions, represent them numerically, graphically, and algebraically, determine expected values, and solve related problems from a variety of applications. Students will solve problems involving the probability of an event or a combination of events for discrete sample spaces; solve problems involving the application of permutations and combinations to determine the probability of an event; demonstrate an understanding of discrete probability distributions, represent them numerically, graphically, and algebraically, determine expected values, and solve related problems from a variety of applications.
16 hours
7 The Normal Distribution
Students will gain an understanding of continuous distributions, and will investigate different shapes of distribution, considering situations that may generate them. Students will explore the normal distribution in detail, and investigate its many applications. They will make comparisons between the normal and binomial distributions. They will form an understanding of the conditions in which they might be used interchangeably, and develop the skills that will allow them to decide how and when to make use of these properties.
16 hours
8 Culminating Data Management Investigation
Building upon knowledge and skills acquired in the first five units, the student will have the opportunity to create a research document featuring an analysis of statistics.
The project will take the form of a formal research paper, where the student will need to use existing data to calculate probabilities, develop hypotheses and support conclusions.
14 hours
Final Exam
The final assessment task is a proctored two hour exam worth 30% of the student’s final mark.
2 hours
Total 110 hours