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Learning Probability Through Mathematical Modelling
Moving from the particular to the general, then revisiting the particular in that light, and so generalising further.
problem
2 out of 3
Square Difference
16 to 18
2 out of 3
Which numbers can you write as a difference of two squares? In how many ways can you write $pq$ as a difference of two squares if $p$ and $q$ are prime?
problem
1 out of 3
Who Is Cheating?
14 to 16
1 out of 3
A practical experiment provides data. Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability.
problem
1 out of 3
Triangle in a Square
7 to 11
1 out of 3
Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
problem
1 out of 3
Healthy Snack Shop
7 to 11
1 out of 3
What information do you need to know to set up a healthy snack shop for your class?
problem
2 out of 3
The Olympic Torch Tour
14 to 16
2 out of 3
Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
problem
2 out of 3
Favourite
Factor-Multiple Chains
7 to 11
2 out of 3
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?