Grade 11 Functions (MCR3U)

Grade 11 Math Online Course Curriculum

1. Exploring Functions In this unit of the grade 11 math course online, students explore functions, relations, and their inverses. With guided online math lessons, they learn algebraic and graphical representations, transformations, and consistent use of function notation.
2. Characteristics of Functions Students investigate quadratic functions, their zeros, maximums, and minimums. This math online course also teaches simplification of polynomial, radical, and rational expressions, while solving real-world problems that build a deeper understanding of algebraic concepts and reasoning skills.
3. Exponential Functions This unit focuses on evaluating powers, simplifying exponents, and exploring exponential functions. Learners in the grade 11 math course online apply problem-solving strategies through real-life examples and engaging online math lessons for improved conceptual understanding.
4. Discrete Functions Students learn recursive sequences, arithmetic and geometric patterns, and Pascal’s Triangle. The math online course connects concepts to finance through compound interest and annuities, helping learners apply mathematical reasoning to both abstract ideas and practical situations.
5. Trigonometry This unit develops skills in trigonometric ratios, sine and cosine laws, and solving identities. Through interactive online math lessons, students apply trigonometry to real-world problems while strengthening their visualization and analytical reasoning skills effectively.
6. Trigonometric Functions & Graphs Students explore sinusoidal functions, their graphs, and periodic properties. The grade 11 math course online helps learners understand numeric, algebraic, and graphical connections, making trigonometry practical and easier to apply in mathematical problem-solving contexts.
7. Culminating & Final Exam The course concludes with a complete review and assessment. This math online course ensures students consolidate their knowledge from all units, practice effectively, and demonstrate their readiness for higher-level mathematics confidently.

Learning Outcomes

• Understand Functions and Transformations Students in the grade 11 math course online will learn to represent functions algebraically and graphically, explore inverses, and apply transformations effectively through guided online math lessons for deeper understanding.
• Solve Quadratic and Exponential Problems This math online course builds problem-solving skills by teaching students to find quadratic zeros, simplify expressions, and apply exponential functions. Learners gain confidence using these concepts in both abstract problems and real-world applications.
• Apply Discrete Functions in Context Through engaging online math lessons, students understand sequences, series, and Pascal’s Triangle. The grade 11 math course online connects these concepts to financial applications like compound interest and annuities, strengthening reasoning and practical skills.
• Master Trigonometric Concepts Effectively Learners explore trigonometric ratios, sine and cosine laws, and sinusoidal graphs. With this math online course, students build strong visualization and problem-solving skills to apply trigonometry confidently in academic and real-life situations.

How It Works