AFNORTH International School

Canadian Section

 

Course Outline

 

MDM4U

Mathematics of Data Management

 

Course Description:

 

This course broadens students’ understanding of mathematics as it relates to managing information. Students will apply methods for organizing large amounts of information; apply counting techniques, probability, and statistics in modelling and solving problems; and carry out a culminating project 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.

Prerequisite: Functions and Relations, Grade 11, University Preparation, or Functions, Grade 11, University/College Preparation

 

Mathematics of Data Management
 

University        

 

MDM4U
 

12
 
Grade  11                                                                                                                                                     

 

                                   

1.0                       

 

The Ontario Curriculum

Grades 11 and 12

Mathematics, 2000
 
 


Credit Value:              Ontario Ministry of

                                                                Education Document(s):                                                                                                                                          

 

 

 

 

 

Functions and Relations, Grade 11, University Preparation, or Functions, Grade 11, University/College Preparation

 
 

N/A
 
 


Prerequisite(s):                                                          Corequisite(s):

 

 

 

 

Mathematics
 
 


DND/DoDDS
 
                                                                                    Department:

 

AFNORTH International School
 

 
 
                                                                                   

Dept. Head:

 

 

 

 
 
 


Developer(s):    

 

January 2007
 

January 2007
 
 


Development Date:                                                               Revision Date:

 

 

Mathematical Process Expectations:

 

The mathematical processes are to be integrated into student learning in all areas of this course.

Throughout this course, students will:

·         develop, select, apply, compare, and adapt a variety of problem-solving strategies as they pose and solve problems and conduct investigations, to help deepen their mathematical understanding;

·         develop and apply reasoning skills (e.g., use of inductive reasoning, deductive reasoning, and counter-examples; construction of proofs) to make mathematical conjectures, assess conjectures, and justify conclusions, and plan and construct organized mathematical arguments;

·         demonstrate that they are reflecting on and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem (e.g., by assessing the effectiveness of strategies and processes used, by proposing alternative approaches, by judging the reasonableness of results, by verifying solutions);

·         select and use a variety of concrete, visual, and electronic learning tools and appropriate computational strategies to investigate mathematical ideas and to solve problems;

·         make connections among mathematical concepts and procedures, and relate mathematical ideas to situations or phenomena drawn from other contexts (e.g., other curriculum areas, daily life, current events, art and culture, sports);

·         create a variety of representations of mathematical ideas (e.g., numeric, geometric, algebraic, graphical, pictorial representations; onscreen dynamic representations), connect and compare them, and select and apply the appropriate representations to solve problems;

·         communicate mathematical thinking orally, visually, and in writing, using precise mathematical vocabulary and a variety of appropriate representations, and observing mathematical conventions.
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Overall and Specific Expectations

Overall Expectations:

 

 

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 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.

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.

 

 

 

Units:   Titles and Time

 

Unit #

Unit Title

Number of days

Number of hours

1

Toos for Data Managment

10

13

2

Statistics of One Variable

10

13

3

Statistics of Two Variables

10

13

4

Permutation and Organized Counting

10

13

5

Combination and Bonomial Theorem

10

13

6

Introduction to Probability

10

13

7

Probability Distributions

10

13

8

The Normal Distribution

10

13

9

Culmulation Project

10

13

 

 

 

Teaching Strategies:

 

A variety of teaching strategies will be used.

  • work independently
  • use technology effectively
  • extend problem solving strategies
  • apply skills to meaningful applications
  • explore, use  method of inquiry, individually and in groups
  • develop skills within contexts
  • explain reasoning in writing, and orally to teachers and peers
  • study of examples followed by practice
  • culminating project of significance
  • oral presentations, critiquing

 
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Assessment and Evaluation Strategies:

 

A variety of assessment tools and strategies will be used throughout the course including but not limited to:

·        rubrics

·        assignments

·        tests, quizzes

·        observations of performance tasks

·        performance assessments

·        presentations

 

 

Term work will represent 70% of the final mark while 30% will be based on a final e