Mathematics of Data Management MDM4U

$500.00

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.

SKU: MDM4U Category:

The MDM4U Mathematics of Data Management course equips Grade 12 students with the analytical and statistical skills required for university programs in the social sciences, humanities, and related fields where data analysis is a key component. This course emphasizes the practical applications of mathematics in understanding data and making informed decisions based on that data.

Course Overview

Through units on Probability Distributions, Statistical Analysis, and Data Management Investigation, students will learn to organize, analyze, and interpret data using a variety of statistical techniques and tools. This course builds a foundation for statistical thinking and data management that is essential in a data-driven world.

Prerequisites

Students must have completed any Grade 11 University, University/College, or College Mathematics course, providing them with the necessary background in probability and functions to tackle more complex data management concepts.

Key Learning Objectives

  • Understand and apply methods for organizing and analyzing large sets of data.
  • Use probability models to make predictions and informed decisions.
  • Conduct a culminating data management investigation to apply concepts learned to real-world scenarios.
  • Develop critical thinking skills through the interpretation of statistical data.

Overall Expectations

By the end of this course, the student will:

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COUNTING AND PROBABILITY

  • 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.

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PROBABILITY DISTRIBUTIONS

  • 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;
  • Demonstrate an understanding of continuous probability distributions, make connections to discrete probability distributions, determine standard deviations, describe key features of the normal distribution, and solve related problems from a variety of applications.

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ORGANIZATION OF DATA FOR ANALYSIS

  • 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.

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STATISTICAL ANALYSIS

  • Analyse, interpret, and draw conclusions from one-variable data using numerical and graphical summaries;
  • Analyse, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries;
  • Demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.

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CULMINATING DATA MANAGEMENT INVESTIGATION

  • 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;
  • Communicate the findings of a culminating investigation and provide constructive critiques of the investigations of others.

Course Details

Course CodeMDM4U
Course TypeUniversity Preparation
FormatOnline School Course
PrerequisiteMCR3U or MCF3M
DepartmentMathematics
Course TitleData Management
GradeGrade 12
Credit Value1.0

Outline of Course Content

UnitTitleTime
1Probability12 hours
2Permutations14 hours
3Combination14 hours
4Probability Distribution for Discrete Variable10 hours
5Probability Distribution for Continuous Variable13 hours
6Organization Data for Analysis15 hours
7Statistics: One Variable Data Analysis15 hours
8Statistics: Two Variables Data Analysis10 hours
9Culminating Task5 hours
Final Examination2 hours
Total110 hours