Grade 12 Advanced Functions – Algebra & Graph Mastery

Categories Grade 12, Mathematics

What I will learn?

  • Understand, graph, and analyze advanced function types
  • Solve complex algebraic and function-based equations
  • Master transformations and combinations of functions
  • Use logarithmic and exponential functions in modeling situations
  • Apply trigonometry to solve real-life and theoretical problems
  • Communicate advanced mathematical reasoning effectively

Course Curriculum

Topic 1: Polynomial Functions – Analysis & Graphing

Topic 2: Rational Functions – Domain, Asymptotes & Graphs

Topic 3: Trigonometric Functions & Equations

Topic 4: Exponential & Logarithmic Functions

Topic 5: Advanced Algebraic Techniques – Factoring, Expanding & Simplifying

Topic 6: Combining Functions – Composition & Inverses

Topic 7: Transformations & Advanced Graphing Techniques

Topic 8: Equations & Inequalities – Solutions and Applications

Topic 9: Mathematical Modeling – Real-World Applications

Topic 10: Preparation & Review for University-Level Math

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Target Audience

  • Grade 12 students pursuing the University Math stream (MHF4U)
  • Students preparing for calculus, STEM degrees, or university-level studies
  • Parents seeking rigorous, university-prep mathematics for their child
  • Homeschool learners needing a comprehensive advanced functions curriculum
  • Tutors and educators supporting students toward university math readiness

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