MCT4C COURSE OUTLINE

Course Title: Mathematics for College Technology

Grade: 12

Ministry Course Code: MCT4C

Course Type: College Preparation

Credit Value: 1.00

Course Hours: 110

Department: Mathematics

Revision Date: N/A

Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised) http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf

Domestic Student Price: $550
International Student Price: $799

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COURSE DESCRIPTION

This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs.

OVERALL EXPECTATIONS

Exponential Functions

By the end of this course, students will:

1. solve problems involving exponential equations graphically, including problems arising from real-world applications;

2. solve problems involving exponential equations algebraically using common bases and logarithms, including problems arising from real-world applications.

Polynomial Functions

By the end of this course, students will:

1. recognize and evaluate polynomial functions, describe key features of their graphs, and solve problems using graphs of polynomial functions;

2. make connections between the numeric, graphical, and algebraic representations of polynomial functions;

3. solve polynomial equations by factoring, make connections between functions and formulas, and solve problems involving polynomial expressions arising from a variety of applications.

Trigonometric Functions

By the end of this course, students will:

1. determine the values of the trigonometric ratios for angles less than 360o, and solve problems using the primary trigonometric ratios, the sine law, and the cosine law;

2. make connections between the numeric, graphical, and algebraic representations of sinusoidal functions;

3. demonstrate an understanding that sinusoidal functions can be used to model some periodic phenomena, and solve related problems, including those arising from real-world applications.

Applications of Geometry

By the end of this course, students will:

1. represent vectors, add and subtract vectors, and solve problems using vector models, including those arising from real-world applications;

2. solve problems involving two-dimensional shapes and three-dimensional figures and arising from real-world applications;

3. determine circle properties and solve related problems, including those arising from real-world applications.

OUTLINE OF COURSE CONTENT

TEACHING AND LEARNING STRATEGIES

A variety of teaching and learning strategies are used to allow students many opportunities to attain the necessary skills for success in this course and in future studies. In all activities, consideration will be taken to ensure that individual students’ multiple intelligences and learning strengths are addressed through the use of varied and multiple activities in each lesson.

STRATEGIES FOR ASSESSMENT AND EVALUATION OF STUDENT PERFORMANCE

The primary purpose of assessment and evaluation is to improve student learning. Assessment and evaluation is based on the Ministry of Education’s Growing Success policy document, which articulates the Ministry’s vision for how assessment and evaluation is practiced in Ontario schools.

Growing Success describes the three assessment types as follows:

Assessment as Learning: focuses on the explicit fostering of students’ capacity over time to be their own best assessors, but teachers need to start by presenting and modelling external, structured opportunities for students to assess themselves.
Assessment for Learning: the process of seeking and interpreting evidence for use by learners and their teachers to decide where the learners are in their learning, where they need to go, and how best to get there.
Assessment of Learning: the assessment that becomes public and results in statements or symbols about how well students are learning.

ASSESSMENT AND EVALUATION

EVALUATION SCHEME

A final grade (percentage mark) is calculated at the end of the course and reflects the quality of the student’s achievement of the overall expectations of the course, in accordance with the provincial curriculum.

The final grade will be determined as follows:

Seventy percent (70%) of the grade will be based on evaluation conducted throughout the course. This portion of the grade should reflect the student’s most consistent level of achievement throughout the course, although special consideration should be given to more recent evidence of achievement.
Thirty percent (30%) of the grade will be based on a final evaluation administered at or towards the end of the course. This evaluation will be based on evidence from one or a combination of the following: an examination, a performance, an essay, and/or another method of evaluation suitable to the course content. The final evaluation allows the student an opportunity to demonstrate comprehensive achievement of the overall expectations for the course.

PLAGIARISM

Plagiarism is a serious offense. It is defined as taking words, phrasing, sentence structure, or any other element of the expression of another person’s ideas, and using them as if they were your own. Plagiarism is a violation of another person’s rights, whether the material taken is great or small.Students will be assisted in developing strategies and techniques to avoid plagiarism. They need to be aware that plagiarized term work will be penalized and could result in a mark of zero.