MDM4U: Mathematics of Data Management (University Preparation)
PREREQUISITE: Functions, Grade 11, University Preparation, or Functions and Applications, Grade 11, University/College Preparation
GRADE: 12 (University)
AVAILABILITY: Spark Asher Academy Online
THE ONTARIO CURRICULUM: Mathematics
Course Overview
MDM4U online is tailored to broaden students’ mathematical understanding with a focus on data management, a crucial skill in today’s data-driven world. This course is particularly beneficial for students aiming to pursue university programs in business, social sciences, and humanities. The curriculum, standardized by Ontario’s Ministry of Education, ensures consistent learning outcomes whether the course is taken online or on campus. Students will engage with complex mathematical concepts such as probability, statistics, and permutations, enhancing their ability to analyze and manage large data sets effectively.
UNIT ONE: Permutations and Combinations
Essential Question: How can counting principles be applied to predict the number of outcomes in real-world scenarios?
- This unit introduces students to the basics of counting principles, permutations, and combinations, linking these mathematical concepts to practical applications and Pascal’s Triangle.
UNIT TWO: Probability
Essential Question: How can probability theory be applied to evaluate the likelihood of events in real-world scenarios?
- Students will differentiate between experimental and theoretical probabilities and use combinations and permutations to solve complex probability problems.
UNIT THREE: Discrete Probability Distributions
Essential Question: How can probability distributions be utilized to predict outcomes in the real world?
- The focus will be on understanding different probability distributions—uniform, binomial, and hypergeometric—and applying these to calculate expected values and graphically represent data.
UNIT FOUR: Collecting Data
Essential Question: How can we ensure data collection methods are unbiased and the conclusions drawn are valid?
- Students learn effective data collection techniques, how to formulate unbiased survey questions, and the use of various sampling methods to ensure the reliability of data.
UNIT FIVE: Continuous Probability Distributions
Essential Question: What patterns can be identified in continuous data sets, and how can these be interpreted?
- The unit covers measures of central tendency, spread, standard deviation, and the normal distribution, including the use of z-scores and normal approximation for binomial distributions.
UNIT SIX: Two-Variable Statistical Analysis
Essential Question: What does the correlation between two variables indicate about their relationship?
- Students will analyze the correlation and perform linear regression to explore relationships between two variables, critically assessing whether correlation implies causation.
Assessment
The assessment structure for MDM4U online is designed to comprehensively evaluate students’ grasp of course content and their application of mathematical processes:
- 70% Coursework: This segment assesses ongoing student performance through various formative tasks and assignments reflective of their consistent academic level.
- 30% Final Evaluation: Comprising a culminating project (10%) and a final proctored exam (20%), this segment tests students’ comprehensive understanding of the course materials and their ability to apply concepts in structured and open-ended problems.
MDM4U online not only prepares students for advanced studies in various fields but also equips them with critical analytical skills essential for navigating the complexities of data in professional and everyday contexts.
For more details on final exams and the exam fee, please consult to us directly via contact page. Additional information can be found in our download section in courses page.
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