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.

From: $500.00

SKU: MDM4U Category: Tags: , ,
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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 CodeMDM4U
Course TypeUniversity Preperation
FormatOnline School Course
PrerequisiteMCR3UMCF3M
Tuition Fee650 – 1300
DepartmentMathematics
Course TitleData Management
GradeGrade 12
Credit Value1.0

Outline of Course Content

UnitTitleTime
1Probability12 hours
2Permutations14 hours
3Combination14 hours
4Probability Distribution for Discrete Variable10 hours
5Probability Distribution for Continuous Variable13 hours
6Organization Data for Analysis15 hours
7Statistics: One Variable Data Analysis15 hours
8Statistics: Two Variables Data Analysis10 hours
9Culminating Task5 hours
 Final Examination2 hours
 Total110 hours

Course Details

Course CodeMHF4U
Course TypeUniversity Preperation
FormatOnline School Course
PrerequisiteMCR3U or MCT4C
Tuition Fee650 – 1300
DepartmentMathematics
Course TitleAdvanced Functions
GradeGrade 12
Credit Value1.0

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

UnitTitleTime
1Polynomial Functions15 hours
2Polynomial Equations and Inequalities15 hours
3Rational Functions13 hours
4Trigonometry13 hours
5Trigonometric Functions13 hours
6Exponential and Logarithmic Functions13 hours
7Tools and Strategies for Solving Exponential and Logarithmic Equations13 hours
8Combining Functions13 hours
Final Examination2 hours
Total110 hours
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