Lessons

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