This course 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. 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.
By the end of this course, students will develop the following skills in these different areas:
| 1. Mathematical Processes | |
| 1.1 | Mathematical processes will be integrated into student learning throughout the course and include: problem-solving, reasoning and proving, reflecting, selecting tools and computational strategies, connecting, representing, and communicating. |
| 2. Counting and Probability | |
| 2.1 | solve problems involving the probability of an event or a combination of events for discrete sample spaces; |
| 2.2 | solve problems involving the application of permutations and combinations to determine the probability of an event. |
| 3. Probability Distributions | |
| 3.1 | 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; |
| 3.2 | 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. |
| 4. Organization of Data for Analysis | |
| 4.1 | demonstrate an understanding of the role of data in statistical studies and the variability inherent in data, and distinguish different types of data; |
| 4.2 | describe the characteristics of a good sample, some sampling techniques, principles of primary data collection, and collect and organize data to solve a problem. |
| 5. Statistical Analysis | |
| 5.1 | analyse, interpret, and draw conclusions from one-variable data using numerical and graphical summaries; |
| 5.2 | analyse, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries; |
| 5.3 | demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations. |
| 6. Culminating Data Management Investigation | |
| 6.1 | 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; |
| 6.2 | communicate the findings of an investigation and provide constructive critiques of the investigations of others. |
| Time Allocated | |
|---|---|
| 1. Probability and Counting Techniques | |
Probability vocabulary and notation are introduced involving simple counting; students will explore theoretical versus experimental probability; Venn diagrams and Set theory are introduced exploring complements and principles of inclusion and exclusion. Counting permutations and combinations; tree diagrams, Pascal’s triangle and the additive and multiplicative counting principles are explored. Students will learn to use mathematical notation to describe the number of permutations and combinations, solve counting problems, and solve probability problems involving the application of permutations and combinations. | 24 hours (12 hrs online/ 12 hrs offline) |
| 2. Collecting, Organizing and Visualizing Data | |
Students will demonstrate an understanding of how data is organized and the role of data in statistical studies. Students will describe the characteristics of a good sample and compare sampling techniques. Principles of primary data collection are explored as students collect, organize and analyze data to solve a problem. Students will learn about the applications of data management in the media, the advertising industry and in various occupations. | 18 hours (8 hrs online/ 10 hrs offline) |
| 3. Statistics | |
Explore, analyse, interpret, and draw conclusions from one-variable and two variable data. Students will calculate, by hand and with technology, measures of central tendency and spread with grouped and ungrouped data. The validity of statistical summaries are analyzed and evaluated. | 20 hours (12 hrs online/ 8 hrs offline) |
| 4. Normal Distribution | |
Students will demonstrate an understanding of continuous probability distributions, describe the features of a normal distribution, and make connections to discrete probability distributions. Students will determine standard deviations and find z-scores to solve related problems from a variety of applications. | 16 hours (6 hrs online/ 10 hrs offline) |
| 5. Probability Distributions | |
Students will understand and apply binomial distribution and expansion using Pascal’s triangle and represent discrete probability distributions numerically, graphically and algebraically. Students will explore and connect Binomial and Hypergeometric distributions, use Normal distributions to approximate binomial distributions; determine expected values, and solve related problems from a variety of applications. | 14 hours (5 hrs online/ 9 hrs offline) |
| 6. Independent Study Unit | |
Students will design and conduct and statistical investigation demonstrating the integration and application of the knowledge and skills relating to the concepts covered in the course; communicate the findings of an investigation and provide constructive critiques of the investigations of others. 15% of final grade | 15 hours (12 hrs online/ 3 hrs offline) |
| 7. FINAL EXAMINATION | |
Proctored exam worth 15% of final grade. | 3 hours (online) |
| Total | 110 Hours |
This course is organized into a semester format. Lessons and activities will be presented to students via the internet. Lessons will be provided on-line, with regularly scheduled student teacher conferences and student to student discussion forums.
A variety of strategies will be used in the online delivery of this course. Instructional strategies will include but are not limited to:
Learning goals will be discussed at the beginning of each assignment and success criteria will be provided to students. The success criteria are used to develop the assessment tools in this course, including rubrics and checklists.
The over-riding aim of this course is to help students use the language of mathematics skillfully, confidently and flexibly. A wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests, and ability levels. The following mathematical processes are used throughout the course as strategies for teaching and learning the concepts presented.
A variety of assessment and evaluation methods, strategies and tools are required as appropriate to the expectation being assessed. These include diagnostic, formative and summative within the course and within each unit.
Assessment FOR Learning and Assessment AS Learning is obtained through a variety of means, including the following:
Evidence of student achievement (assessment of learning) is collected through ongoing observations of most consistent work, with consideration given to most recent work from various sources.
Assessment and evaluation in this course will be based on the provincial curriculum expectations. Students will be provided with numerous and varied opportunities to demonstrate the full extent of their achievement. Categories of assessment and breakdowns are as follows:
A final grade will be determined as follows:
Students with special needs and English Language Learners will be provided with accommodation, including additional time, assistive technology and scribe where available.
Learning Skills listed below are key to student success. Learning Skills are assessed independently of achievement and are determined through observation and participation. A check list and student conference will be used to determine the level in each category.
$549.00
¿Necesitas ayuda?
Call us for free