2011 - 2012 School-based Syllabus

2011 - 2013 IBO Syllabus & related documents


Use GDC to solve questions of all topics



Reference

Topics
Notes
Exercise
Test/Quiz

Number & Algebra





Set, Logic & Probability




Functions










Geometry & Trigonometry




Statistics









Revision







Summative Assessment

ALL TOPICS taught throughout this academic year will be assessed. The details are as follows:

  • Domain & Range (chapter 4, 4.1)

    • Mapping diagrams
  • Mathematical models (chapter 4)

    • Linear functions (4.2)
      • y = mx + c
      • Shape/position of the line
      • slope of straight line
      • x-intercept / y-intercept of straight line
      • Solving simultaneous equations

    • Quadratic functions (4.3)
      • y = ax2 + bx + c
      • Shape/position of the parabola
      • Quadratic formula
      • Roots of parabola / x-intercepts/solution of quadratic function
      • vertex of parabola (max/min point)
      • axis of symmetry (i.e. vertical asymptote of parabola)
      • x-intercept(s) / y-intercept of parabola
      • Application of the function (i.e. Real-life problem / Word problem)
    • Exponential functions (4.4)
      • y = kax + c
      • Shape/position of the curve
      • horizontal asymptote of the function
      • y-intercept of the function
      • Application of the function (i.e. Real-life problem / Word problem)
    • applications to Real-life problems (4.7)
  • Number & Algebra (chapter 1 & 7)

    • Number system - ℕ, ℤ, ℚ, ℝ (1.1)
    • Arithmetic sequence / series (7.1)
    • Geometric sequence / series (7.2)
    • Approximation (1.2 - 1.4)
      • standard form
      • rounding-off
      • significant figures
  • Statistics (chapter 2 & 5)

    • Measures of central tendency (2.4)
      • mean/mode/median
    • Cumulative frequency curves (2.5)
    • Box & Whisker (2.6)
    • Measures of dispersion (2.7)
      • Range
      • Inter-quartile range (IQR)
      • Standard deviation

    • Normal distribution (5.1)
    • Correlation
      • Positive/negative/no correlation
      • Line of best fit
      • Pearson's product-moment correlation coefficient, r
    • The regression line
    • The chi-squared test
    • Null hypothesis(H0) vs Alternative hypothesis(H1)
    • Expected value vs Critical values
    • Degree of freedom
  • Geometry & Trigonometry (chapter 3)

    • Gradient of a line (3.1)
      • parallel lines
      • perpendicular lines
    • Equations of lines (3.2)
      • point-slope form (y = mx + c)
      • two-point form
      • slope-intercept form
      • intercept form
      • general form (ax + by + c = 0)
    • sine/cosine/tangent ratios (3.3)
    • Sine & Cosine rules (3.4)
    • Area of Triangle (3.5)