# Understanding what is Slope of a line

# 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