|
Chapter 1 - Basic algebra
Page 5 Expanding
cubics
Chapter 3 - Factorising and quadratic expressions
Page 24 The
peg puzzle
Page 26 Two-stage
factorising
Page 26 Factorising quadratics where the coefficient
of x2 is greater than 1
(Contributed by Joel Dodd, HOF Mathematics, Coastal Taranaki
School, Okato, NZ)
Chapter 4 - Rearrangements of algebraic formulae
Page 33 Filling
the bath
Chapter 5 - Simultaneous equations
Page 41 Simultaneous
equation solver
Page 42 Multiplying
through by suitable numbers
Chapter 6 - Quadratic
equations
Page 53 Proof
of the quadratic formula
Page 53 Completing
the square
Page 54 Quadratic
equation solver
Chapter 7 - Non-linear
simultaneous equations
Page 63 Where
does a line cut a parabola?
Page 67 Where
does a line cut a circle?
Chapter 8 - Indices
Page 78 Exponent
rules (1)
Page 78 Exponent
rules (2)
Chapter 9 - Logarithms
Page 86 Log
conversions
Chapter 10 - Factored polynomials
and their graphs
Page 97 Quadratic
grapher
Page 98 y
= a(x – h)2 + k
Chapter 13 - Transformation of graphs
Page 146 Vertical
translations of functions
Page 146 Translations
of graphs (1)
Page 146 Translations
of graphs (2)
Page 149 Changes
of scale (1)
Page 149 Changes
of scale (2)
Page 151 Reflection
of graphs (1)
Page 151 Reflection
of graphs (2)
Page 151 Reflection
of graphs (3)
Page 152 Varying
a, h and k in the parabola a(x – h)2
+ k
Page 152 Placing
a parabolic mirror
Page 152 Several
transformations at once - exponential (1)
Page 152 Several
transformations at once - exponential (2)
Chapter 14 - Introducing differentiation
Page 160 The
gradient of the tangent
Page 163 The tangent line
problem
Page 000 Derived
function graph (relevant to new Theta 4Ed)
Chapter 17 - Calculus
applications
Page 204 Enclosed
area under a curve
Page 206 Maximising
the volume of a box (1)
Page 206 Maximising
the volume of a box (2)
Page 206 Maximising
the volume of a box (3)
Chapter 18 - Coordinate geometry
Page 213 Midpoint
calculator
Page 221 Two
points: distance, gradient, line
Page 221 Point-gradient
grapher
Page 221 Point-point
equation
Chapter 19 - Further
Coordinate geometry
Page 225 Parallel
line through a point
Page 227 Perpendicular
line through a point
Page 233 Medians
concurrent at the centroid
Page 233 Medians
of a triangle
Chapter 21 - Sampling
processes and making inferences
Page 279 Simple
random sampling (1)
Page 279 Simple
random sampling (2)
|
Chapter 22 - Theoretical probability
Page 293 A
monkey can eventually type Shakespeare
Page 306 Venn
diagrams (1)
Page 306 Venn
diagrams (2)
Page 306 Venn
diagrams (3)
Chapter 23 - Experimental probability
and simulation
Page 322 ETAOIN
SHRDLU
Page 323 Probability trees -
burn!!
Page 323 Bridge
control applet
Page 324 Heads
or tails simulation
Page 327 The
cereal box problem
Page 327 Collecting
coupons
Page 333 The Monty Hall
problem (1)
Page 333 The Monty Hall
problem (2)
Page 333 The
Monty Hall problem (3)
Page 333 The
Monty Hall problem (4)
Page 334 Predator-prey
simulation
(applet at bottom)
Page 334 Predator-prey
simulation (rabbits and wolves
Chapter 24 - Normal distribution
Page 340 The
normal distribution
Page 340 The
normal distribution graph
Page 346 Standard
normal probability calculator
Page 350 Calculating
any normal probability (1)
Page 350 Calculating
any normal probability (2)
Page 355 Witch
of Agnesi (1)
Page 355 Witch
of Agnesi (2)
Page 355 Witch
of Agnesi (3)
Page 359 Inverse
normal calculator
Chapter 25 - Introducing sequences
Page 378 Fibonacci
sequence (1)
Page 378 Fibonacci
sequence (2)
Page 378 Fibonacci
sequence and the golden ratio
Page 378 The
Fibonacci in Lateralus
Page 378 Fibonacci
spirals in nature
Chapter 26 - Arithmetic sequences
Page 382 Calculating
a and d
Page 383 Summing terms in arithmetic
sequences
Page 383 Sum
of the first n counting numbers
Chapter 27 - Geometric sequences
Page 383 Arithmetic
or geometric?
Chapter 28 - Growth
and decay
Page 402 Simple
and compound interest
Page 403 The
Reserve Bank CPI calculator
Chapter 30 - The sine rule
Page 423 Sine
rule (1)
(halfway down)
Page 423 Sine
rule (2)
Page 424 Proof of the sine rule
Chapter 31 - The cosine rule
Page 442 Solving
triangles (1)
Page 442 Solving
triangles (2)
Chapter 33 - Circular measure
Page 454 Degrees-radians
conversions (1)
Page 454 Degrees-radians
conversions (2)
Page 454 Degrees-radians
conversions (3)
Page 457 Using
the arc length formula
Page 462 Area
of a sector
Page 465 Area
of a segment
Page 469 The Releaux
triangle (1)
Page 469 The
Releaux triangle (2)
Chapter 34 - Trig graphs and equations
Page 473 Sine
curve applet
Page 474 Generating
the sin, cos and tan graphs
Page 476 Trig graphs - the
sin graph (1)
Page 476 Trig
graph tracer
Page 477 Trig graphs - the cos
graph
Page 482 Quadrants
(sin equations)
Page 482 Quadrants
(cos equations)
Page 482 Quadrants
(tan equations)
Chapter
35 - Further trig graphs and equations
Page 489 The graph of y
= sin(ax)
Page 491 The
graph of y = a sin(bx - c)
Chapter 4 - Functions -
domain and range (Theta 4th Edition - coming soon)
Page 000 Function
machine
Page 000 Domain
and range from a graph
Chapter 16 - Networks -
applications (Theta Dimensions - coming soon)
Page 000 Dijkstra's
algorithm
|
