Gradients

Explore the relationship between resistance and temperature

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

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?

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?

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?

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.

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

If you plot these graphs they may look the same, but are they?

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?