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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
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 58 Vertical
translations of functions
Page 60 Translations
of graphs (1)
Page 60 Translations
of graphs (2)
Page 62 Changes
of scale (1)
Page 62 Changes
of scale (2)
Page 64 Reflection
of graphs (1)
Page 64 Reflection
of graphs (2)
Page 64 Reflection
of graphs (3)
Page 65 Varying
a, h and k in the parabola a(x – h)2
+ k
Page 65 Placing
a parabolic mirror
Page 65
Several
transformations at once - exponential (1)
Page 65 Several
transformations at once - exponential (2)
Chapter 5 - Trigonometric graphs
Page 72
Sine
curve applet
Page 72 Generating
the sin, cos and tan graphs
Page 77 Trig
graph tracer
Page 90
The
graph of y = a sin(bx - c)
Chapter 7 - Introducing sequences
Page 118 Fibonacci
sequence
Page 120 Fibonacci
sequence and the golden ratio
Page 120 The
Fibonacci in Lateralus
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
Page 126 Sum
of the first n counting numbers
Chapter 9 - Geometric sequences
Page 134 Arithmetic
or geometric?
Page 143 Converting
a recurring decimal to a fraction
Page 145
The
Sierpinski triangle (1)
Page 145 The
Sierpinski triangle (2)
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
Chapter 13 - The cosine rule
Page 196 Solving
triangles
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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
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 (1)
Page 250 Dijkstra's
algorithm (2)
Page 255 Prim's
algorithm
Page 256 Kruskal's
algorithm (1)
Page 256 Kruskal's
algorithm (2)
Page 256 Distance
between North American cities (Kruskal)
Chapter 17 - Questionnaire design
Page 269 Tripadvisor
Page 279 The
2011 Census
Chapter 18 - Sampling and displaying data distributions
Page 293 How
Excel handles quartiles
Page 300 Simple
random sampling
Page 305 Oscar
Winners (Actors) by age
Page 305 Oscar
Winners (Actresses) 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
Page 348 Drunken
sailor animation
Chapter 22 - Probability
Page 368 A
monkey can eventually type Shakespeare
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 427 Calculating
any normal probability (2)
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
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 457 The
Monty Hall problem (3)
Page 462 Predator-prey
simulation
(applet at bottom)
Page 462 Predator-prey
simulation (rabbits and wolves
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