Number & Algebra
This section of the eBook is all about the Number & Algebra unit. Here you can read, learn and practice all the sub topics.There are 3 main themes to the topics in this section. First, an emphasis on numbers and notation as tools. With indices, standard form, logarithms, accuracy and percentage error we focus on describing and presenting quantities. Then, with the sequences we look at the idea of relationships and growth before applying these in the context of financial mathematics.
With these pqges you can go straught to video lessons and quizzes for quick reference
Number and Algebra Video Lessons
Number and Algebra - Video LessonsThis section of the unit is for sharing with students. The pages have series of video lessons about the different topics. These can be shared with students using ...
Number and Algebra - Student Quizzes
The following quizzes are written specifically you, the students, to practise your knowledge and skills. Do these on the go on your mobile or at your desk with a pen and paper by your side to help. Answer...
These are the detailed chapters for your Standard level topics. Teach yourself and review everything you need to know here on these pages
Standard Index Form
This is a small sup-topic to introduce or recap numbers in standard form. We will learn how to convert between numbers in standard form and base form, alongside learning how to operate with this succinct...
Accuracy and Estimation
Accuracy and Estimation When numbers are reported in the news, or as statistical results, they are either displayed exactly, or they are rounded to a certain degree of accuracy. Understanding how and...
Exponents and Logarithms
ExponentsThe exponents of a number tell us how many times the number has been multiplied. Understanding these well, and being able to apply the laws of exponents will help us when sketching graphs, using...
Arithmetic Sequences and Series
These are sequences where the difference from one term to the next remains constant, like the one in the title! Arithmetic sequences crop up in all sorts of places and this unit looks at understanding...
Geometric Sequences and Series
These are sequences where you go from term to term by multiplying by a common ratio. The one in the title has a common ratio of 3 because each term is 3 times bigger than the previous one. Geometric sequences...
Compound Interest, Loans and Annuities
This chapter explores the financial application of geometric sequences in the form of compound interest calculations. It then goes on to look at loans and annuities where payments at regular intervals...
Review and practise all the details of your Higher Level topics here
HLs sum of infinite Geometric Seq 1.11
Are there any geometric sequences that do not sum to infinity?In this investigation students work in groups, using their GDCs (spreadsheets and graphs) and any approaches they can think of to come up...
HLs Complex N° intro magnitude, argument, arithmetic 1.12
What are complex numbers? Are they "imaginary" (in the literary sense of the word), and, if not, how can we use them/in what way are they "real"? How were they discovered/invented?Use the applets in the...
HLs Complex Geometries 1.13
'Explore the Geometry of Complex number Arithmetic'What does it mean to add, subtract, mutiply and divide complex numbers?Explore the Geometries of complex numbers using the applets below to see if ...
HLs Complex Electricity 1.13
As listening to music we love inspires us to persevere with the otherwise monotonous repetition that mastering an instrument (or sport) may require, being inspired by the applications of mathematics will...
HLs Rational Exponents & Log Laws 1.9+1.10
This is the natural extension from the SL Indices & Logs section and will take your understanding of index notation and logarithms and the relationship between them to the next level (HL). You will review...
HLs Matrix Arithmetic, Inverse & Sim Equations1.14
On this page you can find a set of videos, created by Dr James Tanton, for the topic AHL 1.14 that provide an intuitive, conceptual insight into what matrices are, why they are useful and how we calculate...
HLs Diagonalisation1.15
On this page you can find a set of videos, created by Dr James Tanton, for topic AHL 1.15, raising matrices to large powers using eigenvalues and vectors to diagonalise the matrix (a powerful application...