Gradient of a Line
Use this activity to investigate gradients of lines.
Below is a blue line, with the gradient of the line calculated. Can you work out how the gradient was calculated? (Hint: look at the green triangle)
purple points and move them up and down the blue line. What happens to the gradient? Explain why this happens.
Now select the orange points to change the blue line. Can you make a line with gradient of 1? What about 3 or 4?
Deselect the checkbox to hide the gradient of the line.
Use the pen tool to write down a prediction for the gradient of the lines between the following pairs of points, then check your answer by choosing select mode and moving the orange and purple points to find the gradient. Select the checkbox to reveal the gradient of the line you have made, to check your answer.
1. (-1,-4) and (2,5)
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2. (-4,-2) and (8,4)
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3. (8,-4) and (10,6)
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4. (-6,-1) and (6,2)
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5. (-3,6) and (6,-3)
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6. (-2,4) and (3,-6)
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What was different about questions 3 and 4?
What was different about questions 5 and 6?
Use the pen tool to draw a line that has gradient -0.5. Now try -2/3. Move the orange points to check.
An investigation in to gradients could be done for homework, with a follow up discussion in the next lesson.
Deselect the check box to remove the gradient from the screen, and you can then move the points around as you like to create different lines and gradients on the board. You can then reselect the checkbox to check students results.
If you want to get rid of the green triangle, then just move the two purple points so that they are on top of each other.
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gradient.agg | |
File Size: | 7 kb |
File Type: | agg |