article
Coordinating classroom coordinates
This article describes a practical approach to enhance the teaching
and learning of coordinates.
Linear functions and graphs
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problemGraphical triangle
Age14 to 16Challenge level
What is the area of the triangle formed by these three lines? -
problemOn the road
Age14 to 16Challenge level
Four vehicles travelled on a road. What can you deduce from the times that they met? -
problemEnclosing squares
Age11 to 14Challenge level
Can you find sets of sloping lines that enclose a square? -
problemReflect again
Age16 to 18Challenge level
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. -
articleSpaces for exploration
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
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problemParallel lines
Age11 to 14Challenge level
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
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problemReflecting lines
Age11 to 14Challenge level
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.
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problemTranslating lines
Age11 to 14Challenge level
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
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problemHow steep is the slope?
Age11 to 14Challenge level
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?