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Understanding what is Slope of a line (view source)
Revision as of 15:22, 13 August 2014
, 15:22, 13 August 2014Created page with "=Activity 1 - Name of Activity= understanding What is a slope? ==Estimated Time== 1h ==Materials/ Resources needed== Graph sheet or Geogebra applet ==Prerequisites/Instructio..."
=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==
#idea about coordinate axis,ploting the points
#Idea of Rotation of a line/segment-Angle
==Multimedia resources==
==Website interactives/ links/ simulations/ Geogebra Applets==
==Process (How to do the activity)==
Ask the students to observe the given table describe the pattern using words .<br>Ask them to plot and join the points on grids and ask how the line segments is visible in the graph. <br> ask them to write the relation between X and Y.<br>(we can come to a conclusion that the larger the absolute value of the number,the linebecomes steeper.)
{|Class="wikitable"
|-
|X
|Y
|-
|6
|1
|-
|7
|2
|-
|8
|3
|-
|9
|4
|}
{|Class="wikitable"
|-
|X
|Y
|-
|4
|1
|-
|5
|3
|-
|6
|5
|}
{|Class="wikitable"
|-
|X
|Y
|-
|6
|1
|-
|7
|4
|-
|8
|7
|-
|}
[[File:Slope of segment.png|250px]]<br>
==Developmental Questions (What discussion questions)==
#Write the relation between X and Y(as an equation)
#plot the other points following the same pattern and join the points
#How do we differentiate these lines from one another?from the inclination with the x-axis i.e bending of line towards x-axis
#Can we visualise the angle so formed by the line with the X-axis?
#What is the relation between the bending of line and angle formed by it with the X-axis?<br>
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.<br>
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.
#How do we measure the steepness of line?
[[Image:Measure of Slope.png|400px]]
#Ask the students to measure Slope of other lines
# Ask the students to inspect the Slope with the help of relation between X and Y
# What is the slope of a horizontal and a Vertical line?
==Evaluation (Questions for assessment of the child)==
Find the slope of three segments of the triangle given below<br>
[[Image:Assessment question to find the slope.png|400px]]
==Question Corner==
==Activity Keywords==
'''To link back to the concept page'''
[[Topic Page Link]]
understanding What is a slope?
==Estimated Time==
1h
==Materials/ Resources needed==
Graph sheet or Geogebra applet
==Prerequisites/Instructions, if any==
#idea about coordinate axis,ploting the points
#Idea of Rotation of a line/segment-Angle
==Multimedia resources==
==Website interactives/ links/ simulations/ Geogebra Applets==
==Process (How to do the activity)==
Ask the students to observe the given table describe the pattern using words .<br>Ask them to plot and join the points on grids and ask how the line segments is visible in the graph. <br> ask them to write the relation between X and Y.<br>(we can come to a conclusion that the larger the absolute value of the number,the linebecomes steeper.)
{|Class="wikitable"
|-
|X
|Y
|-
|6
|1
|-
|7
|2
|-
|8
|3
|-
|9
|4
|}
{|Class="wikitable"
|-
|X
|Y
|-
|4
|1
|-
|5
|3
|-
|6
|5
|}
{|Class="wikitable"
|-
|X
|Y
|-
|6
|1
|-
|7
|4
|-
|8
|7
|-
|}
[[File:Slope of segment.png|250px]]<br>
==Developmental Questions (What discussion questions)==
#Write the relation between X and Y(as an equation)
#plot the other points following the same pattern and join the points
#How do we differentiate these lines from one another?from the inclination with the x-axis i.e bending of line towards x-axis
#Can we visualise the angle so formed by the line with the X-axis?
#What is the relation between the bending of line and angle formed by it with the X-axis?<br>
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.<br>
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.
#How do we measure the steepness of line?
[[Image:Measure of Slope.png|400px]]
#Ask the students to measure Slope of other lines
# Ask the students to inspect the Slope with the help of relation between X and Y
# What is the slope of a horizontal and a Vertical line?
==Evaluation (Questions for assessment of the child)==
Find the slope of three segments of the triangle given below<br>
[[Image:Assessment question to find the slope.png|400px]]
==Question Corner==
==Activity Keywords==
'''To link back to the concept page'''
[[Topic Page Link]]