Graph sketching

There are 48 NRICH Mathematical resources connected to Graph sketching
Take your Dog for a Walk
problem
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Take your dog for a walk

Age
7 to 11
Challenge level
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Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

Curve fitter
problem
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Curve fitter

Age
14 to 18
Challenge level
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This problem challenges you to find cubic equations which satisfy different conditions.

MathsJam Jars
problem
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Mathsjam jars

Age
14 to 16
Challenge level
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Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
What's that graph?
problem
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What's that graph?

Age
14 to 18
Challenge level
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Can you work out which processes are represented by the graphs?

Slide
problem
Favourite

Slide

Age
16 to 18
Challenge level
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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.
Squareness
problem
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Squareness

Age
16 to 18
Challenge level
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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?
How Many Solutions?
problem
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How many solutions?

Age
16 to 18
Challenge level
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Find all the solutions to the this equation.
How far does it move?
problem
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How far does it move?

Age
11 to 14
Challenge level
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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.

Back fitter
problem
Favourite

Back fitter

Age
14 to 18
Challenge level
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10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Speeding up, slowing down
problem
Favourite

Speeding up, slowing down

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.