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Fruity Totals - This interactivity provides an opportunity for students to become familiar with an unknown quantity being represented by a symbol and to begin developing the reasoning skills needed when manipulating algebraic expressions. For older students, it is an engaging context in which to practise solving simultaneous equations.
All Tangled Up - This problem follows on from Twisting and Turning and More Twisting and Turning, and offers students the opportunity to explore sequences of fractions, make generalisations, and prove conjectures.
Which Spinners? - The interactivity offers an ideal context in which to observe the "messy" randomness of results after a small number of experiments, compared with the predictability of results after a large number of trials. The problem also offers a good starting point for considering different probability distributions and their features.
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