Algebra
Skills to Linear Equations
Addition
and subtraction of algebraic expressions -
Multiplication of algebraic expressions - Binomial
products - Addition and subtraction of algebraic
fractions - Solving linear equations - Applied
problems - Formulae - Analysis of units.
Algebra
Skills to Quadratic Equations
Factorisation
- Factorisation by grouping - Factorisation by
difference of squares - Factorisation of quadratic
trinomials - Quadratic equations - Completion of the
square - The quadratic formula - Applied
problems.
Data
Analysis - Representing Data with Tables and
Graphs
Introduction
and review - Types of data - Bar graph - Compound bar
graph - Component bar graph - Pie chart - Pictograph -
Stem and leaf plot - Line graph - Frequency graphs -
Histogram - Frequency polygon.
Relations
and Functions and their Graphs
Cartesian
coordinates - Domain and range of a function -
Function notation - Describing situations
graphically.
Algebra
and Geometry of Linear Functions
Linear
relationships review - Gradient formula -
Point-gradient formula - Two point formula - Parallel
lines - Perpendicular lines - Midpoint of a line
segment - Distance between two points - Intersection
of two straight lines - Applied problems.
Data
Analysis - Measures of Central Tendency
Introduction
and review - Mean - Median - Mode - Range - Measures
of spread - Boxplots - Spread about the mean - Mean
deviation - Variance - Standard deviation - Change of
origin and scale.
Solution
of Triangles in Two and Three Dimensions
Right
triangle review - Problems in three dimensions - The
sine rule - The cosine rule - Area of a triangle -
Applied problems.
Arc
Length with Latitude and Longitude
Length
of an arc review - Latitude and longitude - Solving
latitude problems.
Graphing
and Applications of Quadratic Functions
Quadratic
relationships review - Quadratic functions - More
quadratic functions - Applied problems.
Graphing
and Applications of Further Common
Functions
The
reciprocal function - Exponenential functions - Cubic
functions - Parabolas re-visited - Inverse of
functions - Piecewise defined functions - Periodic
functions - Applied problems.
Graphical
Solution of Equations and their Calculator
Refinement
Equations
of the form f(x) = c - Equations of the
form f(x) = g(x) - Applied
problems.
Graphing
and Applications of Trigonometric Functions
The
unit circle - Sine, cosine and the unit circle -
Graphing the sine and cosine functions - Tangent and
the unit circle - Graphing the tangent function -
Transformations of the trigonometric functions -
Applied problems.
Data
Analysis - Cumulative Frequency Tables and
Graphs
Cumulative
frequency - Ungrouped data - Cumulative frequencies of
grouped data.
Data
Collection and Inference - Sampling and Bivariate
Data
Sampling
- Simple random sampling - Systematic sampling -
Stratified sampling - Cluster sampling - Surveys and
questionnaires - Bivariate data - Interpreting
relationships.
