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Chapter 1 - Coordinate geometry
Page 2
Midpoint
calculator
Page 11
Point-gradient
grapher
Page 11 Point-point
equation
Chapter 2 - Further
Coordinate geometry
Page 15 Parallel
line through a point
Page 17 Perpendicular
line through a point
Page 27
Medians
concurrent at the centroid
Page 27
Medians
of a triangle
Chapter 3 - Factored polynomials
and their graphs
Page 36
Quadratic
grapher
Page 37
y = a(x - h)2
+ k
Chapter 4 - Functions -
domain and range
Page 49
Function
machine
Page 54
Domain
and range from a graph (1)
Page 54
Domain
and range from a graph (2)
Chapter 5 - Other mathematical
functions and their graphs
Page 74 Winning
time for men's marathon
Chapter 6 - Transformation of graphs and the connection with parameters
Page 93
Translations
of graphs
Page 93
Changing transformations
Page 97 Reflection
of graphs (1)
Page 97
Reflection
of graphs (2)
Page 98 Varying
a, h and k in the parabola a(x – h)2
+ k
Page 98
Several
transformations at once - exponential
Chapter 7 - Trigonometric graphs
Page 105
Sine
curve applet
Page 105 Generating
the sin, cos and tan graphs
Page 123
The
graph of y = a sin(bx - c)
Chapter 9 - Triangle trigonometry
Page 146 The
Cairo pentagon
Chapter 10 - The sine rule
Page 159
Sine
rule
Page 160 Proof of the sine rule
Page 167 Sine rule
- the ambiguous case (1)
Page 167 Sine rule
- the ambiguous case (2)
Chapter 11 - The cosine rule
Page 179
Solving
triangles
Chapter 12 - Circular measure
Page 188 Degrees-radians
conversions (1)
Page 188 Degrees-radians
conversions (2)
Page 191
Using
the arc length formula
Page 197
Area
of a sector
Page 201
Area
of a segment
Page 205 The Reuleaux
triangle (1)
Page 205 The
Reuleaux triangle (2)
Chapter 13 - Basic algebra
Page 212
Expanding
cubics
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Chapter 15 - Factorising and quadratic expressions
Page 235 Factorising quadratics where the coefficient
of x2 is greater than 1
(Contributed by Joel Dodd, HOF Mathematics, Coastal Taranaki
School, Okato, NZ)
Chapter 17 - Quadratic
equations
Page 258
Completing
the square
Page 259
Proof
of the quadratic formula
Page 260
Quadratic
equation solver
Page 262
The
Golden ratio (1)
Page 262 The
Golden ratio (2)
Page 262
The
Golden rectangle
Chapter 18 - Exponential expressions
Page 270 The
Foucault pendulum
Page 275 Exponent
game
Page 281 Tower
of Hanoi gif
Page 282
Tower
of Hanoi applet
Chapter 19 - Logarithms
Page 285
Log
conversions
Page 290 Moore's
Law
Chapter 20 - Introducing differentiation
Page 295
The
gradient of the tangent (1)
Page 295
The
gradient of the tangent (2)
Page 298 The tangent line
problem
Page 304
Derived
function graph (1)
Page 304
Derived
function graph (2)
Chapter 23 - Calculus
applications
Page 355
Maximising
the volume of a box (1)
Page 355
Maximising
the volume of a box (2)
Chapter 24 - Probability
Page 374 Venn
diagrams (1)
Page 374
Venn
diagrams (2)
Page 374
Venn
diagrams (3)
Chapter 26 - Normal distribution
Page 405 The
normal distribution
Page 405 The
normal distribution graph
Page 412 Standard
normal probability calculator
Page 419
Calculating
any normal probability
Page 425 Witch
of Agnesi (1)
Page 425 Witch
of Agnesi (2)
Page 430
Inverse
normal calculator
Chapter 27 - Simulation methods
Page 438 Forest
fire (1)
Page 438 Forest
fire (2)
Page 438 Forest
fire (3)
Page 439
Heads
or tails simulation (1)
Page 439
Heads
or tails simulation (2)
Page 442 The
cereal box problem
Page 442
Collecting
coupons
Page 449
The Monty Hall
problem (1)
Page 449 The Monty Hall
problem (2)
Page 454 Predator-prey
simulation (rabbits and wolves
Chapter 28 - Simultaneous equations
Page 461 Simultaneous
equation solver (1)
Page 461
Simultaneous
equation solver (2)
Chapter 29 - Non-linear
simultaneous equations
Page 468 Where
does a line cut a parabola?
Page 472 Where
does a line cut a circle?
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