Havergal's Uncalendar, 2016-2017 Academic Year

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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 ten flowers on a window ledge?” and “what is the
probability that when you arrange ten 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
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. You will broaden your understanding of the mathematics associated
with rates of change and apply this knowledge to start to discuss the concept of a limit and derivative.
You will also refine your use of mathematical processes necessary for success in problem solving. You
will apply these skills to various real-life situations such as the pH scale used in chemistry and rates of
change of volumes of containers, to name a few. For those students interested in enrolling in MCV4U
Calculus and Vectors, this MHF4U course must be taken before or concurrently with MCV4U Calculus.
Prerequisite: MCR3U – Functions, Grade 11, University Preparation