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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?
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
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.
Collect as many diamonds as you can by drawing three straight lines.
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
Can you find sets of sloping lines that enclose a square?
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?
This task requires learners to explain and help others, asking and answering questions.
This article describes a practical approach to enhance the teaching and learning of coordinates.