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Mathematics - DP

Mathematics – DP

Original price was: $99.00.Current price is: $49.00.

IB Mathematics is offered in two pathways: Analysis & Approaches (AA) for students who enjoy algebraic manipulation and theoretical problem-solving, and Applications & Interpretation (AI) for those who prefer practical applications, modelling, and data analysis. Both Standard Level (SL) courses cover core areas of number and algebra, functions, geometry and trigonometry, statistics and probability, and calculus. While AA emphasizes rigorous proofs, abstract reasoning, and advanced calculus, AI focuses more on statistical techniques, real-world modelling, and the use of technology. Together, these courses prepare students for higher education pathways ranging from pure mathematics and engineering to social sciences, business, and data-driven fields.

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Description

1. Mathematics: Analysis & Approaches (AA)

SL Topics

  1. Number & Algebra
    • Arithmetic & geometric sequences and series
    • Binomial expansion (simple cases)
    • Logarithms & exponentials
    • Proof by contradiction
  2. Functions
    • Domain, range, inverse & composite functions
    • Polynomial, rational, exponential, logarithmic, trigonometric functions
    • Transformations of functions
  3. Geometry & Trigonometry
    • Radian measure, arc length, area of sector
    • Trigonometric functions, graphs, identities
    • Sine & cosine rules, area of triangle
    • 3D geometry basics
  4. Statistics & Probability
    • Descriptive statistics (mean, median, standard deviation)
    • Probability basics, conditional probability
    • Discrete and continuous distributions (binomial, normal)
  5. Calculus
    • Limits and derivatives
    • Differentiation (rules, product, quotient, chain rule)
    • Applications (tangents, normals, optimization, kinematics)
    • Integration (basic rules, area under curve, definite integrals)

2. Mathematics: Applications & Interpretation (AI)

SL Topics

  1. Number & Algebra
    • Arithmetic sequences and series
    • Financial math (simple & compound interest, annuities, loans, amortization)
  2. Functions
    • Linear, quadratic, exponential, logarithmic, piecewise, and logistic functions
    • Transformations of graphs
    • Modelling with functions
  3. Geometry & Trigonometry
    • Trigonometric functions (basic graphs, sine/cosine rule, area formula)
    • 3D geometry: distance, midpoints, volumes
  4. Statistics & Probability
    • Data collection, sampling methods
    • Measures of central tendency & spread
    • Correlation & regression
    • Probability rules & tree diagrams
    • Discrete and continuous distributions (binomial, normal)
    • Chi-square tests
  5. Calculus
    • Limits and derivatives (basic rules, tangents, normals)
    • Integration (basic techniques, area under curve)
    • Applications to modelling & rates of change

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