Difference between revisions of "Understanding what is Slope of a line"
(Created 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...") |
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# Ask the students to inspect the Slope with the help of relation between X and Y | # 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? | # What is the slope of a horizontal and a Vertical line? | ||
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+ | [[http://tube.geogebra.org/material/show/id/130849 To know more about slope play with this geogebra applet]] | ||
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==Evaluation (Questions for assessment of the child)== | ==Evaluation (Questions for assessment of the child)== | ||
Find the slope of three segments of the triangle given below<br> | Find the slope of three segments of the triangle given below<br> | ||
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==Activity Keywords== | ==Activity Keywords== | ||
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− | [[ | + | [[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]] |
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+ | [[Category:Co-ordinate Geometry]] |
Latest revision as of 05:01, 11 November 2019
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 .
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)
- 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?
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.
- How do we measure the steepness of line?
- 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?
[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