MEI online resources for mathematics
The Further Mathematics Network

| Home | Change password | Log Out
Name: Guest User

Further Pure Mathematics 1 (AQA) – Sample chapter

Chapters:
  FP1 (AQA): Algebra Properties of the roots of quadratic equations, Summation of series
  FP1 (AQA): Complex numbers Adding, subtracting and multiplying complex numbers, Complex conjugates, Solutions of quadratic equations
Sections

Teachers' resources for Complex Numbers

Group/pair activities for learning about complex numbers.
Complex Numbers Activities

Introduction to Complex Numbers

This section corresponds to chapter 2 in the Heinemann textbook and chapter 7 in the Oxford textbook.

Before you start...
  • You need to be able to use the quadratic formula to solve quadratic equations.
  • You need to be able to solve a pair of simultaneous equations.
When you have finished you should...
  • Be able to add, subtract and multiply complex numbers.
  • Know what is meant by a complex conjugate.
  • Be able to find the solutions of any quadratic equation with real coefficients, and know that non-real roots occur in conjugate pairs.
  • Be able to solve equations involving complex numbers by comparing real and imaginary parts.
Teach yourself
Addition and subtraction of complex numbers
Teach yourself
Multiplying complex numbers
Teach yourself
Questions involving complex conjugates
Flash player is required to view this file
Working with Complex Numbers
Complex roots and the graph of a quadratic equation
Complex roots
TestTest Questions
Submit answers Complex numbers 1
Complex numbers assessment
This glossary covers all of this chapter.
Glossary
  FP1 (AQA): Matrices Working with matrices, Transformations, Multiplying matrices, Properties of matrix multiplication, Composite transformations
  FP1 (AQA): Trigonometry General solutions for trigonometrical equations
  FP1 (AQA): Graphs and inequalities, Conics Graphs of rational functions, Inequalities, Turning points
  FP1 (AQA): Linear laws Reducing to linear form, Using logarithms to reduce relationships to linear form
  FP1 (AQA): Calculus Gradients of chords, Gradients of tangents, Improper integrals
  FP1 (AQA): Numerical Methods Interval bisection, Linear interpolation, The Newton-Raphson method, Euler's method