Linear functions and graphs

There are 27 NRICH Mathematical resources connected to Linear functions and graphs
Painting between the lines
problem

Painting between the lines

Age
11 to 16
Challenge level
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In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?
Reflect Again
problem

Reflect again

Age
16 to 18
Challenge level
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Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.
Graphical Triangle
problem

Graphical triangle

Age
14 to 16
Challenge level
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What is the area of the triangle formed by these three lines?
Spot the difference
problem

Spot the difference

Age
16 to 18
Challenge level
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If you plot these graphs they may look the same, but are they?
Four on the Road
problem

Four on the road

Age
14 to 16
Challenge level
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Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
spaces for exploration
article

Spaces for exploration

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.