Theta Dimensions links

If you wish to submit a new link that relates to material in Theta Dimensions or report any links that are no longer working please email feedback@mathematics.co.nz

 

Chapter 1 - Factored polynomials and their graphs

Page 3       Quadratic grapher
Page 4       y = a(xh)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(xh)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 graphs - the sin graph (1)
Page 77      Trig graph tracer
Page 78 
    Trig graphs - the cos graph
Page 88      The graph of y = sin(ax)
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 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 (1) (halfway down)
Page 176    Sine rule (2)
Page 177    
Proof of the sine rule


Chapter 13 - The cosine rule

Page 196    Solving triangles (1)
Page 196    Solving triangles (2)



 







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 254   Minimum spanning tree
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 (1)
Page 300   
Simple random sampling (2)
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 433    Witch of Agnesi (3)
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 446    Bridge control applet
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 457    The Monty Hall problem (4)
Page 462    Predator-prey simulation
(applet at bottom)
Page 462    Predator-prey simulation (rabbits and wolves