Mathematics Of Data Management – Grade 12

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; 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.

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SKU: MDM4U Category: Tags: , ,

Overall curriculum expectations

Rate of Change
By the end of this course, students will:

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.

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.

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.

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.

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 Code MDM4U
Course Type University Preperation
Format Online School Course
Prerequisite MCR3UMCF3M
Tuition Fee 650 – 1300
Department Mathematics
Course Title Data Management
Grade Grade 12
Credit Value 1.0

Outline of Course Content

Unit Title Time
1 Probability 12 hours
2 Permutations 14 hours
3 Combination 14 hours
4 Probability Distribution for Discrete Variable 10 hours
5 Probability Distribution for Continuous Variable 13 hours
6 Organization Data for Analysis 15 hours
7 Statistics: One Variable Data Analysis 15 hours
8 Statistics: Two Variables Data Analysis 10 hours
9 Culminating Task 5 hours
  Final Examination 2 hours
  Total 110 hours

Course Details

Course Code MHF4U
Course Type University Preperation
Format Online School Course
Prerequisite MCR3U or MCT4C
Tuition Fee 650 – 1300
Department Mathematics
Course Title Advanced Functions
Grade Grade 12
Credit Value 1.0

Overall Curriculum Expectations

Exponential and logarithmic functions
By the end of this course, students will:

  • Demonstrate an understanding of the relationship between exponential expressions and logarithmic expressions, evaluate logarithms, and apply the laws of logarithms to simplify numeric expressions.
  • Identify and describe some key features of the graphs of logarithmic functions, make connections among the numeric, graphical, and algebraic representations of logarithmic functions, and solve related problems graphically.
  • Solve exponential and simple logarithmic equations in one variable algebraically, including those in problems arising from real-world applications.

Trigonometric Functions
By the end of this course, students will:

  • Demonstrate an understanding of the meaning and application of radian measure.
  • Make connections between trigonometric ratios and the graphical and algebraic representations of the corresponding trigonometric functions and between trigonometric functions and their reciprocals and use these connections to solve problems.
  • Solve problems involving trigonometric equations and prove trigonometric identities.

Polynomial and Rational Functions
By the end of this course, students will:

  • Identify and describe some key features of polynomial functions, and make connections between the numeric, graphical, and algebraic representations of polynomial functions.
  • Identify and describe some key features of the graphs of rational functions and represent rational functions graphically.
  • Solve problems involving polynomial and simple rational equations graphically and algebraically.
    Demonstrate an understanding of solving polynomial and simple rational inequalities.

Characteristics of Functions
By the end of this course, students will:

  • Demonstrate an understanding of average and instantaneous rate of change, and determine, numerically and graphically, and interpret the average rate of change of a function over a given interval and the instantaneous rate of change of a function at a given point.
  • Determine functions that result from the addition, subtraction, multiplication, and division of two functions and from the composition of two functions, describe some properties of the resulting functions, and solve related problems.
  • Compare the characteristics of functions, and solve problems by modelling and reasoning with functions, including problems with solutions that are not accessible by standard algebraic techniques.

Outline of Course Content

Unit Title Time
1 Polynomial Functions 15 hours
2 Polynomial Equations and Inequalities 15 hours
3 Rational Functions 13 hours
4 Trigonometry 13 hours
5 Trigonometric Functions 13 hours
6 Exponential and Logarithmic Functions 13 hours
7 Tools and Strategies for Solving Exponential and Logarithmic Equations 13 hours
8 Combining Functions 13 hours
Final Examination 2 hours
Total 110 hours
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