Interpreting Distance -Time Graph!
(9th Grade - Integrated Algebra)
Mathematical goals
This lesson is intended to help you assess how well you are able to interpret distance –time graphs, and in particular, to help you identify following difficulties:
- Interpreting distance–time graphs as if they are pictures of situations rather than abstract representations of them.
- Relating speeds to slopes of these graphs.
Every morning Mark walks along a straight road from his home to a bus stop, a distance of 160 meters. The graph below shows his journey on one particular day.
Mark walks straight on the street heading to the bus stop. Use the information in the graph to create a story on what might had happened during his journey. Locate at what time did he go back a certain distance towards home and find out at what time did he reached the bus stop.
On the next morning, Mark rode his bike east from his home up a steep hill to go to his school.
After a while the slope eased off and rode his bike in a slow phase.
At the top of the hill he raced down the other side and find a faster phase going down the hill.
The following day, Mark decided to jog from home to the park in less than 2 hours. He jog, warm-up for a couple of minutes and started to do the walkathon towards the park all the way home. He often uses this routine to condition his body for the upcoming tournament that he is going to participate in school.
Mark's classmates, Caroline and Mary, started to set out for a bicycle trip. The distance-time graph shows their progress as they reach their destination.
Mary went ahead to begin the bicycle trip and followed by Caroline as she wants to know if given the gap of the race, will she be able to beat Mary in the race to their destination.
CREDITS for Graphics and Resources
http://www.merriam-webster.com/dictionary/
http://www.patana.ac.th/secondary/science/anrophysics/unit1/images/s-t%20graph.png
http://resources.curriculum.org/csc/library/profiles/9/html/2PAPFMX_files/image008.gif
http://map.mathshell.org/materials/lessons.php?taskid=208
golfranger.co.ukgolfranger.co.ukhttp://www.golfranger.co.uk/images/distance_time.gif