Steep Gradient Math

These printable resources may be useful.

Steep gradient math. The line is less steep and so the gradient is smaller. On a grid like the one below we can draw lines through two points with different gradients. The gradient 3 5 0 6. The slope of this line 3 3 1.

How steep is the slope grid worksheet. You may also notice that the skaters are going down the ramp from the left to the right. The gradient 4 2 2. The gradient 3 3 1.

The gradient of a line tells us how far up or down we go when we take one step to the right. The line is less steep and so the slope is smaller. The slope of this line 4 2 2. We see from the diagram above that the gradient usually written m is given by.

So the slope is equal to 1. You can explore the concept of slope of a line in the following interactive graph it s not a fixed image. The slope of this line 3 5 0 6. The line is steeper and so the gradient is larger.

The line is steeper and so the slope is larger. So the gradient is equal to 1. Check you agree that the blue line is one of several that could be drawn with a gradient of 2 and the red line is one of several that could be drawn with a gradient of frac 2 3. The numbers will update as you interact with the graph.

Gradients of perpendicular lines for example at right angles exploration of pythagoras theorem for example tilted squares possible approach. This makes the slope decreasing or negative. In math steeper means bigger so the slope of that line is bigger than the slope of the second skater s line.