PREREQUISITE : Functions, Grade 11, University Preparation, or Functions and Applications, Grade 11, University/College Preparation.
GRADE : 12 (University)
THE ONTARIO CURRICULUM : Mathematics
MDM4U online at Profectus 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. In MDM4U online, 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 1 :
Counting and Probability (18.5hrs)
Students will be able to:
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 Solve problems involving the application of permutations and combinations to determine the probability of an event.
UNIT 2 :
Probability Distributions (18.5hrs)
Students will be able to:
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 applica
UNIT 3 :
Organization of Data for Analysis (18.5hrs)
Students will be able to:
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.
UNIT 4 :
Statistical Analysis (18.5hrs)
Students will be able to:
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.
UNIT 5 :
Culminating Data Management Investigation (18.5hrs)
Students will be able to:
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.
FINAL 30%
Course Culmination (18.5hrs)
The Culminating Unit incorporates all four strands of the Mathematics Curriculum, and covers the four achievement chart categories. It consists of two parts:
Culminating Project worth 15% and a
Final Exam worth 15%
Online Course Policies
Listed below are various mandatory policies as you take on this course.
Attendance is regularly tracked through student contributions to online discussion boards, assignment completion, and learning logs. Failure to complete allocated activities may challenge the student’s ability to attain the credit.
This course will be presented using an asynchronistic model whereby work will be posted on the Google Classroom and it is the student’s responsibility to complete it on their own time.
ALL portions of this course are intended to be learned and completed online.
Final Exams and Tests will be written on site at Profectus Academy of Toronto. Course instructors will relay this information to students and families.
The integrity of student work will be checked on an ongoing basis using Quetext or Turnitin. Plagiarism is not tolerated.
Assessment & Evaluation Policies
The primary purpose of assessment and evaluation is to improve student learning. The Achievement Chart for Mathematics will guide all assessment and evaluation.
Knowledge and Understanding
17.5%
Thinking
17.5%
Communication
17.5%
Application
17.5%
The final grade will be determined as follows:
70% based on Assessment OF Learning (including conversations, observations and products) conducted throughout the course.
30% based on Culminating Tasks administered at or towards the end of the course.
Assessment and evaluation is divided into two important parts. The grade the student receives on a midterm or final report indicates achievement/ proficiency in Curriculum Expectations. A level of competence (Needs Improvement, Satisfactory, Good or Excellent) will be assessed and reported in the area of Learning Skills and Work Habits: Independent Work, Collaboration, Responsibility, Initiative, Self-Regulation, and Organization.
