Linear functions and graphs

There are 27 NRICH Mathematical resources connected to Linear functions and graphs
The square under the hypotenuse
problem
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The square under the hypotenuse

Age
14 to 16
Challenge level
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Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
Kite in a Square
problem
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Kite in a square

Age
14 to 18
Challenge level
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Can you make sense of the three methods to work out what fraction of the total area is shaded?
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?

Negatively Triangular
problem
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Negatively triangular

Age
14 to 16
Challenge level
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How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

At right angles
problem
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At right angles

Age
14 to 16
Challenge level
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Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
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.
Translating Lines
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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.
Diamond Collector
game
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Diamond collector

Collect as many diamonds as you can by drawing three straight lines.

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?