Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
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 does the position of the line affect the equation of the line?
What can you say about the equations of parallel lines?
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.
Investigate what happens to the equation of different lines when
you translate them. Try to predict what will happen. Explain your
This task requires learners to explain and help others, asking and answering questions.
Can you find sets of sloping lines that enclose a square?
Can you make sense of the three methods to work out the area of the kite in the square?
Drawing a triangle is not always as easy as you might think!
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?