Creating Story Graphs


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Introduction to Explore This

 

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Explore This 1


Created with GeoGebra. Author: University of Waterloo. Adapted from “Distance vs. Time Graphs” by Tim Brzezinski and Tom Button. CC BY-SA 3.0. https://ggbm.at/gfscy7je#


Explore This 1 Summary

You may have noticed:

  • The line segments on the graph display the distance the vehicle is along the the road with respect to the amount of time that has passed.
  • A horizontal line segment means a vehicle is not moving.

Explore This 2


Created with GeoGebra. Author: University of Waterloo. Adapted from “Distance vs. Time Graphs” by Tim Brzezinski and Tom Button. CC BY-SA 3.0. https://ggbm.at/ebaywdmm#


Explore This 2 Summary

You may have noticed:

  • The slope or steepness of the line indicates how fast the vehicle is traveling. When the vehicle is moving slower, the steepness of the line segment is less than when the vehicle is traveling faster.
  • The slope of each line segment represents the constant speed of the vehicle.

Explore This 3


Created with GeoGebra. Author: University of Waterloo. Adapted from “Distance vs. Time Graphs” by Tim Brzezinski and Tom Button. CC BY-SA 3.0. https://ggbm.at/rwf9pn9j#


Explore This 3 Summary

You may have noticed:

  • The two vehicles start at different spots along the road. This starting point along the road corresponds to each line's initial value.

The two cars start at two different points along the road, represented by each car's displacement graph having a different y-intercept

  • The point of intersection represents the point in time when the two vehicles are at the same distance along the road. In this instance, it happens when one vehicle is passing another.​​

The two cars are at the same point along the road when their graphs meet, the point of intersection (4,80)


Explore This 4


Created with GeoGebra. Author: University of Waterloo. Adapted from “Distance vs. Time Graphs” by Tim Brzezinski and Tom Button. CC BY-SA 3.0. https://ggbm.at/kgmbqzgn#


Explore This 4 Summary

You may have noticed:

  • A negative slope represents a vehicle moving towards the \(0\) m marker on the road. In this animation the vehicle is moving backwards.

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Example 1

Carla walks from her home to school every day. The distance between the two locations is \(900\) metres. 

 

 

Example 1 Continued

Create a distance-time graph to represent Carla's distance from home on her walk to school.

Solution

Step 1: Create and label the axes

Sources: House - Vdant/iStock/Getty Images; School - Gunay Aliyeva/iStock/Getty Images

 

Example 1 Continued

Create a distance-time graph to represent Carla's distance from home on her walk to school.

Solution

Step 2: Plot points on the grid

Sources: House - Vdant/iStock/Getty Images; 
Girl - Meth Mehr/iStock/Getty Images; School - Gunay Aliyeva/iStock/Getty Images

 

Example 1 Continued

Create a distance-time graph to represent Carla's walk to school.

Solution

Step 3: Connect the points

Sources: House - Vdant/iStock/Getty Images; School - Gunay Aliyeva/iStock/Getty Images

 

Example 1 Continued

Create a distance-time graph to represent Carla's walk to school.

Solution

Let's consider the solution if the vertical axis was labelled as Distance From School.

Sources: House - Vdant/iStock/Getty Images; School - Gunay Aliyeva/iStock/Getty Images

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Check Your Understanding 1


Created with GeoGebra. Author: University of Waterloo. Adapted from “Distance vs. Time Graphs” by Tim Brzezinski and Tom Button. CC BY-SA 3.0. https://ggbm.at/n4mtvugh#