**CORE – 60%**

**CHAPTER 1**

1A Classifying data

1B Displaying and describing the distributions of categorical variables

1C Displaying and describing the distributions of numerical variables

1D Using a log scale to display data

**CHAPTER 2**

2A Dot plots and stem plots

2B The median, range and interquartile range (IQR)

2C The five-number summary and the box plot

2D Relating a box plot to shape

2E Using box plots to describe and compare distributions

2F Describing the centre and spread of symmetric distributions

2G The normal distribution and the 68–95–99.7% rule

2H Standard scores

2I Populations and samples

**CHAPTER 3**

3A Response and explanatory variables

3B Investigating associations between categorical variables

3C Investigating the association between a numerical and a categorical variable

3D Investigating associations between two numerical variables

3E How to interpret a scatterplot

3F Calculating the correlation coefficient

3G The coefficient of determination

3H Correlation and causality

3I Which graph?

**CHAPTER 4**

4A Least-squares regression line

4B Determining the equation of the least squares line

4C Performing a regression analysis

4D Conducting a regression analysis using raw data

**CHAPTER 5**

5A Introduction

5B Using data transformation to linearise a scatterplot

5C The log transformation

5D The reciprocal transformation

**CHAPTER 6**

6A Time series data

6B Smoothing a time series using moving means

6C Smoothing a time series plot using moving medians

6D Seasonal indices

6E Fitting a trend line and forecasting

**CHAPTER 8**

8A Sequences

8B Recurrence relations

8C Modelling linear growth and decay

8D Rules for linear growth and decay

8E Modelling geometric growth and decay

8F A rules for the nnth term in a sequence representing geometric growth or decay

8G Nominal and effective interest rates

**CHAPTER 9**

9A Combining geometric growth and decay

9B Analysing reducing-balance loans with recurrence relations

9C Using a financial solver to analyse reducing-balance loans

9D Interest-only loans

9E Annuities

9F Perpetuities

9G Compound interest investments with regular additions to the principal

### MODULE 3 – GEOMETRY AND MEASUREMENT – 20%

**CHAPTER 17**

17A Properties of parallel lines: a review

17B Properties of triangles: a review

17C Properties of regular polygons: a review

17D Pythagoras’ theorem

17E Similar figures

17F Volumes and surface areas

17G Areas, volumes and similarity

**CHAPTER 18**

18A Defining sine, cosine and tangent

18B The sine rule

18C The cosine rule

18D Area of a triangle

18E Angles of elevation and depression, bearings, and triangulation

18F Problems in three dimensions

**CHAPTER 19**

19A Arc length, area of a sector, area of a segment

19B Latitude and longitude

19C Time zones

19D Using Pythagoras’ theorem in spheres

### MODULE 4 – GRAPHS AND RELATIONS – 20%

**CHAPTER 21**

21A The gradient of a straight line

21B The general equation of a straight line

21C Finding the equation of a straight line

21D Equation of a straight line in intercept form

21E Linear models

21F Simultaneous equations

21G Problems involving simultaneous linear equations

21H Break-even analysis

**CHAPTER 22**

22A Line segment graphs

22B Step graphs

22C Non-linear graphs

22D Relations of the form y=kxny=kxn for n=1,2,3,−1,−2n=1,2,3,−1,−2

22E Linear representation of non-linear relations

**CHAPTER 23**

23A Regions defined by an inequality

23B Regions defined by two inequalities

23C Feasible regions

23D Objective functions