Understanding what is Slope of a line

Activity 1 - Name of Activity

understanding What is a slope?

Estimated Time

1h

Materials/ Resources needed

Graph sheet or Geogebra applet

Prerequisites/Instructions, if any

1. idea about coordinate axis,ploting the points
2. Idea of Rotation of a line/segment-Angle

Process (How to do the activity)

Ask the students to observe the given table describe the pattern using words .
Ask them to plot and join the points on grids and ask how the line segments is visible in the graph.
ask them to write the relation between X and Y.
(we can come to a conclusion that the larger the absolute value of the number,the linebecomes steeper.)

X	Y
6	1
7	2
8	3
9	4

X	Y
4	1
5	3
6	5

X	Y
6	1
7	4
8	7

Developmental Questions (What discussion questions)

1. Write the relation between X and Y(as an equation)
2. plot the other points following the same pattern and join the points
3. How do we differentiate these lines from one another?from the inclination with the x-axis i.e bending of line towards x-axis
4. Can we visualise the angle so formed by the line with the X-axis?
5. What is the relation between the bending of line and angle formed by it with the X-axis?
   

We can conclude that bending(orientation of line)increases with the increse in the angle or we can say line becomes steeper with the angle of inclination.
The slope of a line is a number that measures its "steepness" It is the change in y for a unit change in x along the line.

1. How do we measure the steepness of line?

1. Ask the students to measure Slope of other lines
2. Ask the students to inspect the Slope with the help of relation between X and Y
3. What is the slope of a horizontal and a Vertical line?

[To know more about slope play with this geogebra applet]

Evaluation (Questions for assessment of the child)

Find the slope of three segments of the triangle given below

Activity Keywords

[Back to Co-ordinate geometry Page Link]