Pre-Calculus 11

About the Course

Pre-calculus 11 is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that require the study of theoretical calculus. The curriculum focuses on building a strong algebraic foundation by exploring quadratic functions, systems of equations, and radical expressions. Students will engage in topics including absolute value, reciprocal functions, and non-right triangle trigonometry to prepare for the complexities of Grade 12 mathematics.

You Will be Able to know:

By the end of this course, you will develop the reasoning skills necessary to analyze and solve high-level algebraic problems through various mathematical lenses. You will be able to apply quadratic and rational models to interpret real-world data and transition smoothly into advanced calculus preparations.

• How to manipulate and simplify radical and rational expressions while solving related equations and identifying non-permissible values.
• The characteristics of quadratic functions and equations, including graphing in vertex form and applying the quadratic formula to find roots.
• Trigonometric relationships in non-right triangles using the Sine Law and Cosine Law, as well as angles in standard position.
• Methods for solving systems of linear-quadratic and quadratic-quadratic equations, along with linear and quadratic inequalities in two variables.

Prerequisite:‍

• Prerequisites: Completion of Foundations of Mathematics 10 or Pre-Calculus 10
• Graduation Status: One of the Grade 11/12 Math options required for graduation
• Students who take Pre-Calculus 11 are expected to have a solid grasp of algebraic manipulation and coordinate geometry from Grade 10. This course serves as the essential stepping stone for students aiming to take Pre-Calculus 12 and subsequent university math courses.

Who Is This Course For?

• Pre-calculus 11 is an academic course specifically designed for students who plan to pursue post-secondary programs in science, technology, engineering, or mathematics (STEM).
• It is intended for students who have a strong interest in abstract mathematical concepts and wish to develop the rigorous problem-solving skills needed for higher education.
• This course pathway is ideal for those who have performed well in Grade 10 math and are targeting competitive university entrance requirements.