problem
Treasure Hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
problem
How 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.
problem
Parallel lines
How does the position of the line affect the equation of the line?
What can you say about the equations of parallel lines?
problem
Reflecting 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.
problem
Translating Lines
Investigate what happens to the equation of different lines when
you translate them. Try to predict what will happen. Explain your
findings.
problem
How steep is the slope?
On the grid provided, we can draw lines with different gradients.
How many different gradients can you find? Can you arrange them in
order of steepness?
problem
Speeding up, slowing down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
problem
Route to infinity
Can you describe this route to infinity? Where will the arrows take you next?
problem
Fill Me Up
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
problem
Up and across
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.