Theta Mathematics links

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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(xh)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
















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?