This course broadens students 'understanding of mathematics as it relates to managing data.
Students will apply methods for organizing and analyzing large amounts of information; apply counting techniques, probability, and statistics in modelling and solving problems; and carry out a data management investigation that integrates the expectations of the course and encourages perseverance and independence. Students planning to pursue university programs in business, the social sciences, or the humanities will find this course of particular interest.
Pre-requisite(s):
• Grade 11 Functions, University preparation (MCR3U-C)
• Grade 11 Functions and Applications, University/College preparation (MCF3M-C)
Unit 1:
Statistics - Part A
Lesson 1: Importance of data
Lesson 2: Collecting data - sampling
Unit 2:
Statistics - Part B
Lesson 3: Analyzing one-variable data
Lesson 4: Analyzing two-variable data
Lesson 5: Use and misuse of statistics
Unit 3:
Combinatorics - Part A
Lesson 6: Organized counting and permutations
Lesson 7: Combinations
Lesson 8: Combinatorics problems involving repetition and overlaps
Unit 4:
Combinatorics - Part B
Lesson 9: Pascal's triangle and its applications
Lesson 10: Combinations and Pascal's triangle
Unit 5:
Introduction to probability
Lesson 11: An introduction to probability
Lesson 12: Applying probability Part 1:
Organized counting and mutually exclusive events
Lesson 13: Applying probability Part 2:
Independent and dependent events
Lesson 14: Probability distributions
Lesson 15: Binomial and hypergeometric probability distributions
Unit 6:
Probability distribution - Part A
Lesson 16: Probability distributions for continuous random variables
Lesson 17: Continuous random variables and the normal distribution
Unit 7:
Probability distribution - Part B
Lesson 18: Applications of the normal distribution
Lesson 19: Designing and carrying out an investigation
Lesson 20: Case study - Canadian demographics
