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Chapter 1 - Factored polynomials
and their graphs
Page 3
Quadratic
grapher
Page 4
y = a(x - h)2
+ k
Chapter 2 - Functions -
domain and range
Page 16
Function
machine
Page 21
Domain
and range from a graph (1)
Page 21
Domain
and range from a graph (2)
Chapter 3 - Other mathematical
functions and their graphs
Page 41 Winning
time for men's marathon
Chapter 4 - Transformation of graphs and the connection with parameters
Page 60
Translations
of graphs
Page 60
Changing transformations
Page 64
Reflection
of graphs (1)
Page 64
Reflection
of graphs (2)
Page 65 Varying
a, h and k in the parabola a(x – h)2
+ k
Page 65
Several
transformations at once - exponential
Chapter 5 - Trigonometric graphs
Page 72
Sine
curve applet
Page 72 Generating
the sin, cos and tan graphs
Page 90
The
graph of y = a sin(bx - c)
Chapter 7 - Introducing sequences
Page 118
Fibonacci
sequence (1)
Page 118
Fibonacci
sequence (2)
Page 120
Fibonacci
sequence and the golden ratio
Page 121 Fibonacci
spirals in nature
Page 121 Nature
by numbers
Chapter 8 - Arithmetic sequences
Page 124
Calculating
a and d
Page 126
Summing terms in arithmetic
sequences
Chapter 9 - Geometric sequences
Page 143
Converting
a recurring decimal to a fraction
Page 145
The
Sierpinski triangle
Page 145
Infinite series
Chapter 10 - Growth
and decay
Page 147 Simple
and compound interest
Page 148
The
Reserve Bank CPI calculator
Chapter 11 - Triangle trigonometry
Page 163 The
Cairo pentagon
Chapter 12 - The sine rule
Page 176
Sine
rule
Page 177 Proof of the sine rule
Page 184 Sine
rule - the ambiguous case
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Chapter 13 - The cosine rule
Page 196
Solving
triangles
Chapter 14 - Circular measure
Page 205 Degrees-radians
conversions (1)
Page 205 Degrees-radians
conversions (2)
Page 205 Degrees-radians
conversions (3)
Page 208
Using
the arc length formula
Page 214
Area
of a sector
Page 218 Area
of a segment
Page 222 The Reuleaux
triangle (1)
Page 222 The
Reuleaux triangle (2)
Chapter 15 - Networks - basic properties
Page 232
The
Bridges of Konigsberg (1)
Page 232
The
Bridges of Konigsberg (2)
Page 236 The
icosian game
Page 242 Sam
Loyd's Fifteen
Chapter 16 - Networks -
applications
Page 243 An
Eulerian cycle
Page 250 Dijkstra's
algorithm
Chapter 18 - Sampling and displaying data distributions
Page 293 How
Excel handles quartiles
Page 305 Oscar
Winners by age
Chapter 19 - Sampling variation and statistical inference
Page 325
Random
sampler (CensusAtSchool)
Chapter 20 - Statistical experiments
Page 348
Random
walk in one dimension
Page 348
Random
walk in 2D
Chapter 22 - Probability
Page 382 Venn
diagrams (1)
Page 382
Venn
diagrams (2)
Page 382
Venn
diagrams (3)
Chapter 24 - Normal distribution
Page 413 The
normal distribution
Page 413 The
normal distribution graph
Page 420 Standard
normal probability calculator
Page 427 Calculating
any normal probability (1)
Page 433 Witch
of Agnesi (1)
Page 433 Witch
of Agnesi (2)
Page 438
Inverse
normal calculator
Chapter 25 - Simulation methods
Page 446 Forest
fire (1)
Page 446 Forest
fire (2)
Page 446 Forest
fire (3)
Page 447
Heads
or tails simulation (1)
Page 447
Heads
or tails simulation (2)
Page 442 The
cereal box problem
Page 450
Collecting
coupons
Page 457
The Monty Hall
problem (1)
Page 457 The Monty Hall
problem (2)
Page 462 Predator-prey
simulation (rabbits and wolves
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