IB Math (Mathematical Studies)
 

Topic 1:  Number and algebra 1

• The number sets
• Approximations and error
• Standard form
• SI units of measurement

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Topic 2:  Descriptive statistics

• Classification of data
• Simple discrete data
• Grouped discrete or continuous data
• Measures of central tendency
• Cumulative frequency curves
• Box and whisker graphs
• Measures of dispersion

 



Topic 3: Geometry and trigonometry 1

• Gradient of a line
• Equations of lines
• The sine, cosine and tangent ratios

 
 
 
 
Topic 4: Mathematical models

• Functions
• Linear models
• Quadratic models
• Exponential models
• Graphs of functions 
• Using a GDC to solve equations
• Graphs of real-life situations

 



Topic 5: Statistical applications

• The normal distribution
• Correlation
• The regression line
• The chi-squared test

 


 
Topic 6: Introducing differential calculus

• Introduction to differentiation
• The gradient function
• Calculating the gradient of a curve at a given point
• The tangent and the normal to a curve
• Rates of change
• Local maximum and minimum points (turning points)
• Using differentiation in modeling: optimization

 
Topic 7: Number and algebra 2

• Arithmetic sequences
• Geometric sequences
• Currency conversions
• Compound interest

 



Topic 8:  Sets and probability

• Basic set theory
• Venn diagram
• Extending to three sets
• Problem-solving using Venn diagrams
• Basic probability theory
• Conditional probability
• Two special cases: mutually exclusive
• Sample space diagrams
• Tree diagrams

 

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Topic 9:  Logic

• Introduction to logic
• Compound statements and symbols
• Truth tables: negation
• Truth tables: conjunction(and)
• Truth tables: resolving an ambiguity

    -the ‘or ‘connective

• Logical equivalence, tautologies and contradictions
• Compound statements made up from three simple statements
• Arguments

 




Topic 10:  Geometry and trigonometry 2

• Geometry if three-dimensional solids
• Distance between points in a solid
• Angles between two lines, or between a line and a plane
• Surface areas of three-dimensional solids
• Volumes of three-dimensional solids

 
 
 
 
Topic 11:  Project

• The project
• Internal assessment criteria
• Moderating the project
• Academic Honesty
• Record keeping
• Choosing a topic

 



Topic 12:  Getting the most out of your GDC

• Number and algebra 1
• Descriptive statistics
• Geometry and trigonometry 1
• Mathematical models
• Statistical applications
• Introductory differential calculus
• Number and algebra 2