Foundations for College Mathematics, Grade 12, College Preparation

Curriculum Policy
Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)

Course Description:
This course deepens students’ understanding of functions by exploring and applying the characteristics of polynomial, exponential, and trigonometric functions. Students will enhance their skills in representing functions in numerical, graphical, and algebraic forms, while also refining their abilities to simplify expressions and solve equations. The curriculum includes problem-solving related to algebra, trigonometry, vectors, and geometry, emphasizing mathematical reasoning and effective communication of their thought processes in tackling complex, multi-step problems. This course is designed to prepare students for college programs in business, health sciences, and human services, as well as certain skilled trades.

Chapters and Descriptions:

• Trigonometry
  This unit introduces the fundamentals of trigonometry through the study of triangles. Students will explore various methods for determining side lengths and angle measures, developing skills to select the appropriate strategy based on available information.
• Measurement
  In this unit, students will investigate the measurement of length, area, and volume. They will explore different measurement techniques and understand their historical origins. The unit will also cover optimization—maximizing one quantity under given constraints—highlighting its significance in mathematics.
• Data and Statistics
  This unit focuses on essential skills in data management, emphasizing the ability to analyze information, detect patterns, and make predictions. Students will utilize various tools to process data and develop skills for analyzing their findings effectively.
• Graphical Models
  Students will examine various methods of graphically representing relationships in this unit. They will assess different scenarios to determine the most effective form of graphical representation and develop skills to produce and analyze these graphs.
• Algebraic Models
  In this unit, students will learn to represent relationships using algebraic expressions. They will explore various relationships to determine the best mathematical descriptions and use these representations to further investigate and develop the relationships.
• Financial Applications
  This unit emphasizes the importance of mathematics in everyday financial decisions. Students will study various financial applications, including annuities and mortgages, gaining the skills necessary to make informed and rational choices regarding significant life decisions.
• Budgeting
  Focusing on personal finance, this unit will help students apply their mathematical skills to budgeting and the cost of living. Topics will include savings plans, renting versus owning a home, and effective budget management, equipping students with essential skills for financial literacy.