Slope of a line

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= Concept Map =

= Textbook = Please click here for Karnataka and other text books.

=Additional Information=

Useful websites
For more video lessons on Slope click

Reference Books
= Teaching Outlines =

Learning objectives

 * 1) Slope is measure of the steepness of a line.
 * 2) Students will understands that slope increases with the steepness.
 * 3) Students will recognize and make a connection between the magnitude of the slope and the steepness of a line.
 * 4) Students will understands that Slope is a number (magnitude).
 * 5) Students understands that Slope is the orientation or inclination of a line with the X-axis.
 * 6) Students should also be able to draw a line with a specific slope.

Notes for teachers
Slope is a number which represents the steepness of a line Students can relate the slope of line to the tangent of the angle of elevation.

Activities

 * 1) Activity No #1 Activities on Slope of a line

Learning objectives

 * 1) Students should also be able to visualise a line with positive and negetive Slope
 * 2) Students should also be able to differentiate a line with positive and negetive Slope

Notes for teachers
If the change in Y with the value of X decreases corresponding line will have Negetive Slope If the change in Y with the value of X increases corresponding line will have Positive Slope

Activities
Observe the following table and analyse the relation between X and Y (X,Y). You will find that in one case the value of Y goes on incresing with the value of x ,but in the other case the value of Y goes on decreasing with the value of x. In both the cases visualise the orientation of line segment. If the value of Y decrease with the value of X the line will have negetive slope If the value of Y increse with the value of X the line will have negetive slope The following Geogebra applet helps in visualising Positive and negetive Slope
 * 1) Activity No 1
 * 1) Activity No 2

<ggb_applet width="1368" height="551" version="4.2" 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Slopes of Parallel and perpendicular lines
Play with the following Geogebra applet From the following geogebra applet we can visualise that slope of two parallel lines are same and slope of two perpendicular lise are negetive resiprocals of each other Slopes of Parallel and Perpendicular lines <ggb_applet width="1366" height="558" version="4.2" 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= Project Ideas =

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