Linear functions and graphs
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problemFavouriteParallel Lines
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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problemFavouriteReflecting 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.
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problemFavouriteTranslating Lines
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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problemFavouriteHow Steep Is the Slope?
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?
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gameFavouriteDiamond Collector
Collect as many diamonds as you can by drawing three straight lines.
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problemFavouriteWhich Is Cheaper?
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
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problemFavouritePerpendicular Lines
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
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problemFavouriteNegatively Triangular
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
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problemFavouriteAt Right Angles
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?