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Grade 12 Ontario High School Non Credit Courses

This course satisfies the mathematical prerequisite for some universities in areas that include business, social science, and health science programs as well as Grade 12 Calculus and Vectors. The strands in this course help students deepen their understanding of functions by revisiting the exponential and trigonometric functions introduced in Grade 11 to address related concepts such as radian measure and logarithmic
functions and by extending prior knowledge of quadratic functions to explore polynomial and rational functions. The Characteristics of Functions strand addresses some of the general features of functions through the examination of rates of change and methods of combining functions.

Calculus and Vectors: Grade 12 University Preparation (MCV4U)

Calculus and Vectors is designed to prepare students for university programs, such as science, engineering, and economics, that
include a calculus or linear algebra course in the first year. Students will gain a deep understanding of what rate of change means and how to calculate it numerically and graphically. The Derivatives and Their Applications strand provides students with the opportunity to develop the algebraic and problem-solving skills needed to solve problems associated with rates of change. This course will then introduce the concept of derivatives and different methods of calculating it for various functions. Prior knowledge of geometry and trigonometry is used in the Geometry and Algebra of Vectors strand to develop vector concepts that
can be used to solve interesting problems, including those arising from real-world applications. A small part of this course will

be focused on introducing Vectors which is an important concept of any high school Physics course.

Prerequisite: Functions

Data Management: Grade 12 University Preparation (MDM4U)

This course is designed to satisfy the prerequisites for a number of university programs that may include statistics courses, such as those found in the social sciences and the humanities. The expectations in the strands of this course require students to apply mathematical process skills developed in prerequisite courses, such as problem solving, reasoning, and communication, to the study of probability and statistics. The Counting and Probability strand extends the basic probability concepts learned in the elementary school program and introduces counting techniques such as the use of permutations and combinations; these techniques are applied to both counting and probability problems. The Probability Distributions strand introduces the concept of probability distributions; these include the normal distribution, which is important in the study of statistics. In the Organization of Data for Analysis strand, students examine, use, and develop methods for organizing large amounts of data, while in the Statistical Analysis strand, students investigate and develop an understanding of powerful concepts used to analyse and interpret large amounts of data. These concepts are developed with the use of technological tools such as spreadsheets and Fathom, a ministry-licensed dynamic statistical program. The Culminating Data Management Investigation strand requires students to undertake  a culminating investigation dealing with a significant issue that will require the
application of the skills from the other strands of the course.

Prerequisite: Functions/Functions & Applications

Physics: Grade 12 University Preparation (SPH4U)

This course enables students to deepen their understanding of physics concepts and theories. Students will continue their exploration of energy transformations and the forces that affect motion, and will investigate electrical, gravitational, and magnetic fields and electromagnetic radiation. Students will also explore the wave nature of light, quantum mechanics, and special relativity. They will further develop their scientific investigation skills, learning, for example, how to analyse, qualitatively and quantitatively, data related to a variety of physics concepts and principles. Students will also consider the impact of technological applications of physics on society and the environment. Labs will be presented online for students.

Prerequisite: Physics 11 University

Functions

Functions & Applications

Physics 11