Havergal's Uncalendar, 2019-20 Academic Year

MDM4UP – Mathematics of Data Management, Grade 12, University Preparation (Advanced Placement Statistics) 1 CREDIT The purpose of the AP course in statistics is to introduce you to the major concepts and tools for collecting, analyzing and drawing conclusions from data. The mathematics is fairly simple and the graphing calculator does much of the work. Most questions take the form of a word problem that must be interpreted carefully so that the appropriate statistical technique is applied and appropriate conclusions may be drawn. There are four general topics: data description (straightforward); experimental design (requiring terminology and common sense); probability (requiring mathematical logic); and statistical inference (requiring probability, procedures and terminology.) It is important to study statistics as collecting data on subsets of the population (samples) can give valid information about the whole population: knowing what has happened in the past can help answer questions about the present and future; and knowledge helps plan future tests, determines resource allocation and improves quality. Statistics is used in a wide range of areas including business, government, health sciences, environment and physical sciences. Prerequisite: MCR3U – Functions, Grade 11, University Preparation MHF4U – Advanced Functions, Grade 12, University Preparation 1 CREDIT This course continues to explore the characteristics and properties of functions. You will investigate and apply these properties to a variety of different functions; polynomial, rational, exponential, logarithmic, and trigonometric. Students will develop techniques for combining functions; broaden their understanding of rates of change; and refine their use of mathematical processes necessary for success in problem solving. For those students interested in enrolling in MCV4U Calculus and Vectors, this MHF4U course must be taken before or concurrently with MCV4U. Prerequisite: MCR3U – Functions, Grade 11, University Preparation

The second part of this course builds on your knowledge of a variety of functions to explore rates of change, derivatives and the application of derivatives. You will learn how to apply derivatives to solve problems involving motion, optimization problems (involving, for example, maximum volume, minimum cost, least time) and sketching curves. Program content: Unit 1 Introduction to Vectors; Unit 2 Vector Applications; Unit 3 Equations of Lines and Planes; Unit 4 Points Lines and Planes. This course is intended for students who choose to pursue careers in fields such as science, mathematics, engineering, economics, and some areas of business, including those students who will be required to take a university-level Calculus, Linear Algebra or Physics course. Prerequisite: MCR3U – Functions, Grade 11, University Preparation Corequisite MHF4UP – Advanced Functions, Grade 12, University Preparation (Advanced Placement) MDM4U – Mathematics of Data Management, Grade 12, University Preparation 1 CREDIT This course can be divided into three overarching sections. In the first section, you will be introduced to counting techniques and fundamental probability calculations. You will investigate and answer such questions as: “in how many ways can you arrange 10 flowers on a window ledge?” and “what is the probability that when you arrange 10 flowers on a window ledge the red and white geraniums are next to each other?” In the second section of this course, you will develop formulae to determine various probability distributions. A sample problem would be: “when forming a five-person committee from a group of eight males and nine females, what is the probability of each scenario with respect to the number of females chosen for the committee?” In the third section of the course, you will investigate relationships between data using one- and two-variable statistical analysis techniques. A sample investigation would be: “is there a relationship between the amount of sleep a person gets and their time on a reaction test?” While hands-on activities and investigations using technology are embedded within each unit of study, a major component of this course involves a culminating project in which you will choose a topic for investigation and present your findings on probability and statistical analysis. Prerequisite: MCR3U – Functions, Grade 11, University Preparation or MCF3M – Functions and Applications, Grade 11, University/College Preparation

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