## Course curriculum

• 1

• 2

• 3

### Practice Tests 💯

• Further Maths Quiz 1

• Further Maths Quiz 1 Solutions

• 4

### Chapter 1 - Displaying, describing and summarising data distributions

• Intro

• KIS Chapter 1 worksheet

• 1.1 - Types of Data

• 1.2 - Measurements of Numerical Data

• 1.3 - Displaying and describing and distribution of data

• 1.4 - Using a Log scale to Display Data

• 1.5 - Dot plot and stem plots

• 1.6 - Box plots

• 1.7 - Mean, standards deviation and significant figures

• 1.8 - Normal distribution and standards scores

• KIS chapter 1 complete

• 5

### Chapter 2 - Associations between two variables

• KIS chapter 2 worksheet

• 2.1 - Response and explanatory variables

• 2.2 - Associations between categorical variables

• 2.3 - Associations between a categorical and Numerical Data

• 2.4 - Associations between numerical variables

• 2.5 - Calculating the correlation coefficient

• 2.6 - The coefficient of determination

• 2.6A - Coefficient of determination - part 2

• 2.7 - Correlation and causality

• KIS chapter 2 complete

• 6

### Chapter 3 - Regression

• KIS chapter 3 worksheet

• 3.1 - Least - squares regression line

• 3.2 - Regression Analysis

• KIS chapter 3 complete

• 7

### Chapter 4 - Data transformation

• KIS chapter 4 worksheet

• 4.1 - Data Transformation

• KIS chapter 4 complete

• 8

• 9

### Chapter 6 - Modelling growth and decay using recursion

• KIS chapter 6 worksheet

• 6.1 - Sequences and recurring relations

• 6.2 - Modelling linear growth and decay

• 6.2A - Applications of Linear Growth

• 6.3 - Modelling Geometric Growth and Decay

• 6.4 - Nominal and effective interest rates

• KIS chapter 6 complete

• 10

### Chapter 7 - Modelling and analysing reducing-balance loans and annuities

• KIS chapter 7 worksheet

• 7.1 - Analysing reducing balance loans with recurrence relations

• 7.2 - Analysing reducing balance loans with a finance solver

• 7.3 - Interest - only Loans

• 7.4 - Annuities

• 7.5 - Perpetuities

• 7.6 - Compound interest investments with regular additions to the principal

• KIS chapter 7 complete

• 11

### Chapter 8 - Matrix Basics

• KIS chapter 8 worksheet

• 8.1 - Introduction to matrices

• 8.2 - Matrix Arithmetic

• 8.3 - Matrix multiplication

• 8.4 - Matrix powers

• 8.5 - Binary, permutation, communication and dominance matrices

• KIS chapter 8 complete

• 12

### Chapter 9 - Applications of Matrices

• KIS chapter 9 worksheet

• 9.1 - Inverse Matrices

• 9.2 - Solving simultaneous linear equations

• 9.3 - Transition Matrices

• 9.4 - Transition Matrices 2

• KIS chapter 9 complete

• 13

### Chapter 10 - Graphs, networks and trees

• KIS chapter 10 worksheet

• 10.1 - Graphs and networks

• 10.2 - Adjacency and travelling

• 10.3 - Exploring and travelling

• 10.3A - Exploring and travelling - part 2

• 10.4 - Weighted graphs and networks

• 10.5 - Trees and minimum connector problems

• KIS chapter 10 complete

• 14

### Chapter 11 - Flow, matching and scheduling problems

• KIS chapter 11 worksheet

• 11.1 - Flow Problems

• 11.2 - Matching and Allocation problems

• 11.3 - Scheduling problems

• 11.3A - Scheduling problems - part 2

• 11.4 - Crashing

• KIS chapter 11 complete

• 15

### Chapter 12 - Geometry and measurement

• KIS chapter 12 worksheet

• 12.1 - Properties of parallel lines, triangles and polygons

• 12.2 - Pythagoras' theorem

• 12.3 - Similar Figures

• 12.4 - Volumes and surface areas

• 12.5 - Areas, volumes and similarities

• 12.5A - Areas, volumes and similarities - part 2

• KIS chapter 12 complete

• 16

### Chapter 13 - Areas, volumes and similarities

• KIS chapter 13 worksheet

• 11.1 - Trigonometric ratios and rules

• 13.2 - Area of a triangle

• 13.3 - Angles of elevation, depression, bearings and triangulation

• 13.4 - Problems in three dimensions

• KIS chapter 13 complete

• 17

### Chapter 14 - Spherical Geometry

• KIS chapter 14 worksheet

• 14.1 - Arc Length, Area of a sector, Area of a segment

• 14.2 - Latitude and Longitude

• 14.3 - Time Zones

• 14.4 - Using pythagoras' theorem in spheres

• KIS chapter 14 complete

• 18

### Chapter 15 - Constructing Graphs

• KIS chapter 15 worksheet

• 15.1 - The gradient of a straight line

• 15.215.2 - The general equation of a straight line and how to find the equation

• 15.3 - The equation of a straight line in intercept form and linear models

• 15.4 - Simultaneous linear equations

• 15.5 - Break Even Analysis

• KIS chapter 15 complete

• 19

### Chapter 16 - Analysing and interpreting graphs

• KIS chapter 16 worksheet

• 16.1 - Line segment graphs

• 16.2 - Step Graphs

• 16.3 - Non-linear graphs

• 16.4 - Lines in the form y = kx^n

• 16.5 - Linear representation of non-linear relations

• 16.5A - Determining rules for a set of non-linear data points

• KIS chapter 16 complete

• 20

### Chapter 17 - Linear Programming

• KIS chapter 17 worksheet

• 17.1 - Regions defined by inequalities

• 17.2 - Objective functions

• KIS chapter 17 complete

• 21

### Exam Preparation 🧑‍🎓

• Exam Preparation 🧑‍🎓