IB Math (Mathematical Studies)

IB Math (Mathematical Studies)

Topic 1: Number and algebra 1

Topic 1: Number and algebra 1

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

**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

**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