Exploring and noticing
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problemFavouriteHow Far Does It Move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
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problemFavouriteSubstitution Cipher
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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problemFavouriteParallel Lines
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
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problemFavouriteIn the Bag
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
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problemFavouriteInteractive Spinners
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
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problemFavouriteCrossed Ends
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
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problemFavouriteElevenses
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
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problemFavouriteReflecting Lines
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.