Slope of a line

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= Concept Map =

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

=Additional Information=

Reference Books
= Teaching Outlines =

Concept 1
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.

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
Procedure 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.)
 * 1) Activity No1 understanding What is a slope? 

Assessment Questions
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) 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?
 * 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?

Concept 2
Positive and Negetive Slope

Notes for teachers
These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

 * 1) Activity No #1 Concept Name - Activity No.
 * 2) Activity No #2 Concept Name - Activity No.

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