Visualising and representing
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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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problemFavouriteRound and Round and Round
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
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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.
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problemFavouriteTranslating Lines
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
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problemFavouriteDiminishing Returns
How much of the square is coloured blue? How will the pattern continue?
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problemFavouriteYour Number Was...
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
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problemFavouritePerimeter Expressions
Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
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problemFavouriteAt Least One...
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?