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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
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 91 Vertical
translations of functions
Page 93 Translations
of graphs (1)
Page 93 Translations
of graphs (2)
Page 95 Changes
of scale (1)
Page 95 Changes
of scale (2)
Page 97 Reflection
of graphs (1)
Page 97 Reflection
of graphs (2)
Page 97 Reflection
of graphs (3)
Page 98 Varying
a, h and k in the parabola a(x – h)2
+ k
Page 98 Placing
a parabolic mirror
Page 98
Several
transformations at once - exponential (1)
Page 98 Several
transformations at once - exponential (2)
Chapter 7 - Trigonometric graphs
Page 105
Sine
curve applet
Page 105 Generating
the sin, cos and tan graphs
Page 110 Trig
graph tracer
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
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 188 Degrees-radians
conversions (3)
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
Chapter 15 - Factorising and quadratic expressions
Page 234 The
peg puzzle
Page 235 Two-stage
factorising
Page 235 Factorising quadratics where the coefficient
of x2 is greater than 1
(Contributed by Joel Dodd, HOF Mathematics, Coastal Taranaki
School, Okato, NZ)
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Chapter 16 - Solving equations and rearranging formulae
Page 241 Filling
the bath
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 275 Exponent
rules (1)
Page 275 Exponent
rules (2)
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
Page 298 The tangent line
problem
Page 304 Derived
function graph (1)
Page 304
Derived
function graph (2)
Page 304 Derived
function graph (3)
Chapter 23 - Calculus
applications
Page 355 Maximising
the volume of a box (1)
Page 355 Maximising
the volume of a box (2)
Page 355 Maximising
the volume of a box (3)
Chapter 24 - Probability
Page 360 A
monkey can eventually type Shakespeare
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 (1)
Page 419 Calculating
any normal probability (2)
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
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 449 The
Monty Hall problem (4)
Page 454 Predator-prey
simulation
(applet at bottom)
Page 454 Predator-prey
simulation (rabbits and wolves
Chapter 28 - Simultaneous equations
Page 461 Simultaneous
equation solver
Page 462 Multiplying
through by suitable numbers
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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