Maths

Power of Maths: Paper 1
Activity 3
ACTION Understanding complex numbers
OBJECTIVE To examine statements about complex numbers and to decide if they are true or false
Activity 4
ACTION Working with real and imaginary numbers
OBJECTIVE To pick out the real and the imaginary parts of complex numbers and to put them into sets
Activity 5
ACTION Drawing Argand diagrams
OBJECTIVE To plot complex numbers on Argand diagrams and to explore the properties of these numbers
Activity 6
ACTION Adding and subtracting complex numbers
OBJECTIVE To carry out the operations and to explore their geometric meaning
Activity 7
ACTION Multiplying a complex number by a scalar
OBJECTIVE To investigate the effect of multiplying complex numbers by scalars (real numbers)
Activity 8
ACTION Exploring the modulus of a complex number
OBJECTIVE To find the moduli of complex numbers and see the effects by graphing on an Argand
diagram
Activity 9
ACTION Exploring the argument of a complex number
OBJECTIVE To find the argument of complex numbers in degrees and radians
Activity 10
ACTION Finding the argument and modulus of z (1)
OBJECTIVE To find the argument and the modulus of a complex number in the first quadrant
Activity 11
ACTION Finding the argument and modulus of z (2)
OBJECTIVE To find the argument and modulus of a complex number in the second quadrant
Activity 12
ACTION Exploring the conjugate of a complex number
OBJECTIVE To find the conjugate of complex numbers and to deduce some general results
Activity 13
ACTION Proving properties of conjugates
OBJECTIVE To prove certain conjugate properties by showing the left-hand side (LHS) is equal to the
right-hand side (RHS)
Activity 14
ACTION Proving modulus and conjugate properties
OBJECTIVE To prove certain modulus and conjugate properties by showing the left-hand side (LHS) is
equal to the right-hand side (RHS)
Activity 15
ACTION Exploring the geometric effect of multiplying numbers by powers of i (1)
OBJECTIVE To explore the effects of multiplying numbers by powers of i
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