Gradients

There are 27 NRICH Mathematical resources connected to Gradients
Reflecting Lines
problem
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Reflecting lines

Age
11 to 14
Challenge level
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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.
Doesn't add up
problem
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Doesn't add up

Age
14 to 16
Challenge level
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In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

Translating Lines
problem
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Translating lines

Age
11 to 14
Challenge level
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Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Surprising Transformations
problem
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Surprising transformations

Age
14 to 16
Challenge level
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I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

How steep is the slope?
problem
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How steep is the slope?

Age
11 to 14
Challenge level
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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?

Parabella
problem
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Parabella

Age
16 to 18
Challenge level
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This is a beautiful result involving a parabola and parallels.

Which is cheaper?
problem
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Which is cheaper?

Age
14 to 16
Challenge level
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When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
Which is bigger?
problem
Favourite

Which is bigger?

Age
14 to 16
Challenge level
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Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
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.

Up and across
problem
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Up and across

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 vertical and horizontal movement at each stage.