Advanced pure teaching resources: Complex numbers

Resources and ideas for mathematics, advanced pure, complex numbers, written by teachers to support teaching and learning

Maths Further Pure 1 - Set of lesson powerpoints

Set of powerpoints covering the whole of Further Pure 1. These have been made to go with Edexcel's textbooks but are adaptable for any course. Also included are worksheets on each chapter made up of old exam questions that you can use as end of unit tests or revision homeworks. If you like this resource then please check out my other stuff on here! (There are a lot of A-level things!) :) EDIT 9/6/14: Added Mark Schemes to the worksheets.

Trigonometry Polar and Rectangular Coordinates

Algebra 2/Trigonometry: 20 page Polar and Rectangular Coordinates includes brief notes, examples, and practice test (with detailed solutions).. Topics cover converting polar to rectangular; plotting polar coordinates; complex number system, and more; Also, imaginary numbers quiz, and 3 comics. Available at mathplane.org. (Or, download here and support mathplane and TES.). Thanks for visiting!

Algebra 2 Trigonometry Polar Coordinates

Algebra 2/Trigonometry: 20 page Polar and Rectangular Coordinates includes brief notes, examples, and practice test (with detailed solutions).. Topics cover converting polar to rectangular; plotting polar coordinates; complex number system, and more; Also, imaginary numbers quiz, and 3 comics. Available at mathplane.org. (Or, download here and support mathplane and TES.). Thanks for visiting!

Maths for Engineers - Complex Numbers

A large presentation introduces complex numbers and goes on to show the students how to add, subtract, multiply and also divide complex numbers in the form a+bi. It also covers argand diagrams and uses these to lead on to polar form. Finally it looks at complex number using exponential form and how they are used to multiply and divide complex numbers. Powerpoint comes complete with questions and answers at each of the different stages.

Introduction to complex numbers and basic operations in cartesian form.

Introduction to complex numbers, definition of a complex number in Cartesian form, real and imaginary parts, complex conjugate, basic operations. Using TI Nspire. Argand diagram in Geogebra. Solving equations over C. Homework sheet and assessment.

Further Pure 2 powerpoints

A set of powerpoints covering all topics in FP2. Examples labelled WB correspond to the separately attached 'Workbook' (I give this as a single booklet so pupils have a clear model answer to each topic). References to Exercises are from the Pearson Edexcel FP2 textbook. Mistakes on complex numbers now corrected.

A level Maths: Proof by Induction

Proof by Induction

Complex Numbers

A group of lessons which cover the contents required to cover complex numbers for most A level courses.

Multiplying and Dividing Complex numbers

This lesson demonstrates how we multiply and divide complex number and further introduces student to the Argand diagram.

The Modulus argument form of Complex numbers

These two lessons introduce students to the modulus argument format for writing complex number.

Transformations involving complex numbers

This lesson looks at the mapping of one plane (z) into another plane (w) by some given transformation.

Introduction to Complex Numbers

This lesson simply introduces students through a series of examples to the complex number.

CIE Pure 3 - Complex Numbers PPQs with worked solutions

Here is a collection of past paper questions with detailed worked solutions on complex numbers for the CIE A-Level Mathematics course. Ideal for testing or independent practise for your pupils.Please leave a review and I will send you one free resource of your choice.

IB HL Mathematics Practice (Mock, Trial) Exam May 2017 Core Papers

Practice core papers for IB HL Mathematics May 2017. Written in a new format, each paper is out of a 100 marks. Full step by step solutions. GDC screens provided in Paper 2 markscheme. Detailed syllabus coverage, differentiated difficulty make this trial exams an excellent practice for students sitting May 2017 exams or preparing for November 2017 examinations.

Further Pure 1 powerpoints

A set of powerpoints covering all topics in FP1. Examples labelled WB correspond to the separately attached 'Workbook&' (I give this as a single booklet so pupils have a clear model answer to each topic). References to Exercises are from the Pearson Edexcel FP1 textbook.

Complex Numbers Defining Graphing and Operations for Interactive Notebooks

This comprehensive set of notes introduces students to complex numbers. Students use the color-coded guide to complete notes on complex numbers, graphing complex numbers and operations with complex numbers. Students practice operations with practice problems included in this resource.This resource includes:- Graphic organizer and notes for defining and graphing complex numbers and operations with complex numbers- Practice problems for operations with complex numbers- Color coded notes and blackline master- Answer keyAlgebra 2 and Precalculus resources include:- Functions: Piecewise Functions Interactive Notebook Notes and Activity- Variations for Precalculus Notes and Activity- Evaluate Functions Task Card Activity- Functions: Inverse Functions Practice and Review Math Detective- Representing Functions Interactive Notebook and Card Sort Activity for PreCalculus- Domain of Functions Math Detective Activity- Functions: Operations with Functions Practice and ReviewThis purchase is for one teacher only. This resource is not to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are interested in a site license, please contact me for a quote at docrunning@kulikuli.net. This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

Transformation Matrices

This activity was designed for a GCSE group studying for level 2 Further Maths. It would be equally relevant for any students learning about matrices representing transformations (iGCSE, A-level etc...) The activity doesn't cover all transformations but does introduce students to a way of working them out in future.

Matrices

Matrix transformations, composite transformations

A-Level Further Mathematics Materials Mechanics Pure and Statistics

Everything you need for Further Mathematics is here! https://www.youtube.com/user/rollingstonebluesYouTube rental videos are available and also full access to lesson PPTs, thousands of solutions to problems and hundreds of video solutions on just about every topics possible. Get in touch via Youtube to gain access to my Microsoft OneDrive folder.

Composite functions + complex numbers

The topics in this resource covers the requirements of the new GCSE Mathematics syllabus and provides an easy to follow explanation of the topics of composite functions and complex numbers. The resource is suitable for the higher GCSE pupils.

Mathematical Ambiguity & topic relationships

A presentation exploring ambiguity in the operations and objects of Maths and a set of concept maps that connect various topics of GCSE and IB/A level syllabuses. Quadratic, Log, Trigonometric and Functions are mapped in detail. Useful crossover introductory material that can provide some meaning and context in helping to make some connections between otherwise disparate fields. The presentation develops five areas in which the terms and processes of mathematics are inherently ambiguous: from the irrationals and infinity, the variable as a receptacle, the filling of the number line, forming operations with numbers to the notion of equality and sameness. That is from a number being both a noun (a fractional object) and a verb (process of adding a convergent series of rationals). That algebraic formulations using a variable x, allow for x in one sense to have any value ( before the equation is solved) to a specific value when it has been solved. As five separate chapters each one can serve as nonstandard provocative discussion/starter/plenary material .

Revision notes on Complex numbers

Revision notes and questions on complex numbers

Further Pure Maths matrices revision powerpoint.

Intended for use with interactive voting systems

Complex numbers

This lesson is introduction to the complex numbers which is intended for the AS, and 'A,' level students. A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1. In this expression, a is the real part and b is the imaginary part of the

Nth Roots of a Complex Number

Use de Moivre’s theorem to find nth roots of a complex number. Graph nth roots of a complex number on the Argand diagram. Generalize the position of the nth roots in the complex plane. Display the nth roots on your calculator.

Conjugate root theorem, sum and product of polynomial roots

Power Point presentation, 12 slides, demonstrating that for a given polynomial that has a complex zero z, then its conjugate z* is also a zero of the polynomial, based on IB Higher level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OldENnRERSZ29PYU0/view?usp=sharing

Solving system of equations

Power Point presentation, 10 slides, Explaining how to solve system of equations with two or three unknowns, using the methods of substitutions, elimination and the Gaussian elimination Method, based on IB Higher level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlcW9QalZzSm9JX2s/view?usp=sharing

Complex numbers - PowerPoint

Complex numbers - introduction, imaginary number i, addition, subtraction, multiplication and division of complex numbers.