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Pre-IB, IB, and AP Mathematics

Pre-IB Math (1-on-1)

Comprehensive coverage of Ontario mathematics curriculum topics for Pre-IB students, with a focus on conceptual understanding, mathematical reasoning, and preparation for the rigor of IB Mathematics.

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Syllabus​

  • Algebraic Expressions, Equations, and Inequalities

  • Linear Relations and Functions

  • Quadratic Relations and Applications

  • Analytic Geometry

  • Geometry and Measurement

  • Trigonometry

  • Mathematical Modeling

  • Problem Solving and Mathematical Reasoning

  • Mathematical Communication and Justification

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Pre-IB Math

IB Math (1-on-1)

Syllabus: Comprehensive coverage of the IB Mathematics Analysis and Approaches (AA) SL curriculum with a focus on conceptual understanding, problem-solving and exam preparation.

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Topics Covered

  • Number and Algebra

  • Functions and Graphs

  • Sequences and Series

  • Exponents and Logarithms

  • Geometry and Trigonometry

  • Statistics and Probability

  • Differential and Integral Calculus

  • Mathematical Modeling

  • Internal Assessment (IA) Guidance

  • Past Paper and Exam Preparation

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IB Math

AP Math (1-on-1)

Syllabus: AP Calculus topics taught with detailed conceptual explanations, advanced problem-solving techniques, and exam-style questions to prepare students for success on AP exams.
 

Topics Covered

  • Limits and Continuity

  • Differentiation and Applications

  • Related Rates

  • Curve Sketching and Optimization

  • Antiderivatives

  • Definite and Indefinite Integrals

  • Fundamental Theorem of Calculus

  • Differential Equations

  • Applications of Integration

  • AP Free-Response and Multiple-Choice Strategies

  • Past AP Exam Practice
     

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AP Calculus
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