MDM4U – Mathematics of Data Management, Grade 12 (University)

Grade 12 Online Mathematics – Ontario Curriculum

Course Code: MDM4U Grade 12 University Pathway
Prerequisite: MCR3U or MCF3M · Hours: 110

Course Overview

MDM4U focuses on counting techniques, probability, statistics, and data analysis. Students learn how to collect, organize, and interpret data, design and evaluate probability models, and solve real-world problems using statistical reasoning.

This course is strongly recommended for university programs in business, psychology, social sciences, health sciences, and life sciences.

Units & Major Topics

Unit 1 – Combinatorics: Counting & Arrangements

  • Fundamental counting principle
  • Permutations and combinations
  • Factorials and arrangement problems
  • Applications to passwords, seating, and selection

Unit 2 – Probability Models

  • Experimental vs. theoretical probability
  • Independent and dependent events
  • Conditional probability
  • Tree diagrams and probability distributions

Unit 3 – Statistics & Data Analysis

  • Data collection and sampling methods
  • Measures of central tendency and variation
  • Normal distribution and z-scores
  • Interpreting data in context

Unit 4 – Organization of Data & Graphical Models

  • Statistical graphs: histograms, boxplots, scatter plots
  • Identifying trends and outliers
  • Curve of best fit
  • Modelling relationships between variables

Unit 5 – Two-Variable Statistics

  • Correlation and causation
  • Least-squares regression
  • Residuals and prediction models
  • Evaluating regression models in context

Unit 6 – Culminating Task & Final Review

  • Integrated data analysis project
  • Interpretation and communication of findings
  • Preparation for the final evaluation

Assessment and Evaluation

The final grade for MDM4U follows the Ontario Ministry evaluation policy: Assessment and evaluation practices are aligned with Growing Success.