Graph sketching

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

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?

Exploring cubic functions
problem
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Exploring cubic functions

Age
14 to 18
Challenge level
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Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Area L
problem
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Area l

Age
16 to 18
Challenge level
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By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Immersion
problem
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Immersion

Age
14 to 16
Challenge level
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Various solids are lowered into a beaker of water. How does the water level rise in each case?
Tangled Trig Graphs
problem
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Tangled trig graphs

Age
16 to 18
Challenge level
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Can you work out the equations of the trig graphs I used to make my pattern?

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?