Mathematics for College Technology, Grade 12, College Preparation
Curriculum Policy
Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)

Course Description:
This course allows students to deepen their understanding of functions. They will explore and apply the properties of polynomial, exponential, and trigonometric functions, continuing to represent these functions numerically, graphically, and algebraically. Students will enhance their skills in simplifying expressions and solving equations while tackling problems related to algebra, trigonometry, vectors, and geometry. Emphasis will be placed on mathematical reasoning and effective communication of their thought processes as they work through multi-step problems. This course prepares students for various college technology programs.
Chapters and Descriptions:

• Fundamentals of Functions
  This unit revisits essential concepts from previous math courses. Students will refresh their understanding of functions, including function notation and key properties. They will also explore transformations and inverse functions. The assessment will focus on effective communication, formatting, and technical skills, which are vital for the remainder of the course assignments.
• Exploring Polynomial Functions
  In this unit, students will identify and analyze critical features of polynomial functions. They will connect numeric, graphical, and algebraic representations, enabling them to solve polynomial equations using various methods and apply these skills to real-world problems.
• Understanding Exponential and Logarithmic Functions
  This unit begins with a review of exponent laws learned in earlier courses. Students will be introduced to exponential functions and will learn to solve related problems both algebraically and graphically. The unit will then cover logarithmic functions, focusing on their properties and applications in real-world scenarios.
• Trigonometric Principles
  Students will review trigonometric concepts from previous courses, linking trigonometric ratios to the unit circle. This understanding will enhance their problem-solving skills in trigonometry. Additionally, they will revisit the sine and cosine laws, providing a strong foundation for solving real-world applications.
• Trigonometric Functions and Graphing
  In this unit, students will delve deeper into trigonometric functions, reinforcing their prior knowledge and enhancing their ability to solve problems quickly and accurately. They will further explore the sine and cosine laws in relation to practical applications.
• Geometry in Depth
  This unit enhances students’ understanding of three key geometry areas: Vectors, Measurement, and Circles. Students will learn about vectors, including addition and subtraction methods. The measurement section covers both metric and imperial systems, including conversions and real-world applications of perimeter, area, and volume. Lastly, the circles module introduces terminology and methods for determining properties of circles, which students will apply to complex geometric problems and real-life scenarios.