Slope of a line

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Textbook

Please click here for Karnataka and other text books.

Additional Information

Useful websites

For more video lessons on Slope click

Teaching Outlines

understanding what is a Slope

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 understanding what is Slope of a line

Positive and Negetive Slope

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

1. Activity No 1Positive and negetive slope
   

Slopes of Parallel and perpendicular lines

1. Activity1 Slope 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