Graph sketching
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problemFavouriteSlide
This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain. -
problemFavouriteSquareness
The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases? -
problemFavouriteTake Your Dog for a Walk
Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
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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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problemFavouriteSpeeding 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.
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problemFavouriteFill Me Up
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
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problemFavouriteUp 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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problemFavouriteMathsJam Jars
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
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problemFavouriteNegatively Triangular
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?