Calculus And Vectorsms. Ma's Website

Posted : admin On 8/23/2021

Course Title: Grade 12 Calculus and Vectors Online
Course Code: MCV4U
Grade: 12
Course Type: University Preparation
Credit Value: 1
Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)
Prerequisite: MHF4U or taken concurrently with MHF4U

  1. Calculus and Vectors 12, McGraw-Hill Ryerson, 2008. Calculus and Vectors, Nelson Education Ltd., 2009. Student Achievement Levels. Assessment and evaluation is guided by the Ministry of Education’s Growing Success policy document.
  2. The math help and test prep that gets you better math marks! Learn with step-by-step video help, instant practice, diagnostics and a personal study plan.

Day 1 - 7.5 Parametric Equations Example 1 - Graphing Parametric Equations Example 2 - Parametric to Rectangular Form Day 2 - 7.5 Parametric Equations part 2 Example 1 - Parametric Eqtns w/ Trig Day.

This course is based on the expectations and guidelines set by Ministry of Education’s Ontario Curriculum documents for Grade 11 and 12 Mathematics.

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Calculus And Vectors Pdf

Course Description

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, 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.

Overall Expectations

By the end of this course, students will:

  • Demonstrate an understanding of rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of the limit;
  • Graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections between the numeric, graphical, and algebraic representations of a function and its derivative;
  • Verify graphically and algebraically the rules for determining derivatives; apply these rules to determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions, and simple combinations of functions; and solve related problems;
  • Make connections, graphically and algebraically, between the key features of a function and its first and second derivatives, and use the connections in curve sketching;
  • Solve problems, including optimization problems, that require the use of the concepts and procedures associated with the derivative, including problems arising from real-world applications and involving the development of mathematical models;
  • Demonstrate an understanding of vectors in two-space and three-space by representing them algebraically and geometrically and by recognizing their applications;
  • Perform operations on vectors in two-space and three-space, and use the properties of these operations to solve problems, including those arising from real-world applications;
  • Distinguish between the geometric representations of a single linear equation or a system of two linear equations in two-space and three-space, and determine different geometric configurations of lines and planes in three-space;
  • Represent lines and planes using scalar, vector, and parametric equations, and solve problems involving distances and intersections.

Unit Breakdown

Calculus and vectorsms. ma

Calculus and Vectors is broken down into the following units:

UnitTitle
1Rates of Change
2Derivatives
3Applications of Derivatives
4Exponential, Logarithmic and Trigonometric Functions
5Vectors
6Applications of Vectors
7Equations of Lines and Planes
8Relationships between Points, Lines and Planes

Mark Breakdown

The overall course is broken into Term Work and the Final Exam:

SectionPercentage
Term Work70%
Final Exam30%

Both the Term work and the Final Exam are broken into the following skill categories:

SectionPercentage
Quizzes6.00%
Tests31.50%
Assignments31.50%
Forums1.00%
Final Exam30.00%

Each activity accumulates the following mark total (Note: Marks are weighted by skill categories, not by activities):

SectionPercentage
Quizzes5.88%
Tests32.06%
Assignments32.06%
Final Exam30.00%

Textbook

There is no required textbook for this course.

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For additional resources, the recommended textbooks are:

  • Calculus and Vectors 12, McGraw-Hill Ryerson, 2008.
  • Calculus and Vectors, Nelson Education Ltd., 2009.

Student Achievement Levels

Calculus

Assessment and evaluation is guided by the Ministry of Education’s Growing Success policy document. Student achievement will be communicated formally to parent(s)/guardian(s) by means of the Provincial Report Card for grades 9 – 12 courses. Information about student reporting, along with yearly communication timelines, can be found on the ‘Programs’ page of the Ministry of Education website. The levels of achievement are associated with percentage grades, and are defined as follows:

PercentageAchievement of the Provincial Curriculum Expectations
80-100%The student has demonstrated the required knowledge and skills with a high degree of effectiveness. Achievement surpasses the provincial standard. (Level 4)
70-79%The student has demonstrated the required knowledge and skills with considerable
effectiveness. Achievement meets the provincial standard. (Level 3)
60-69%The student has demonstrated the required knowledge and skills with some
effectiveness. Achievement approaches the provincial standard. (Level 2)
50-59%The student has demonstrated the required knowledge and skills with limited
effectiveness. Achievement falls much below the provincial standard. (Level 1)
Below 50%The student has not demonstrated the required knowledge and skills. Extensive
remediation is required.

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