Math Content Strand
Is there a relationship
between the speed at which the group is able to pass the disk and
the number of times they drop the disk? A visual way to look at
this relationship is through the use of a graph!
Have someone record the time and the number of drops for each
trial. You will need to have done the activity at least three times
for this extension -- the more data, the better!
Each student should be provided with a ruler, graph paper,
and a writing utensil. Have them create a graph with an X-axis and
Y-axis. Label the Y-axis "# of drops." Label the numbers at regular
intervals, going at least as high as the greatest number of drops
found in the activity. (For example, if the most drops made was
eight, make at least eight intervals along the Y-axis.) For the
Y-axis, use "Time in seconds." Use the same method as described
before.
Now, let?s start plotting. For the first trial, have students
locate the number of drops on the X-axis. Then, move along
horizontally until they find the time the first trial took. Make a
dot there and label it "Trial #1." Do the same for Trial #2, #3,
and so on. Once the group is finished, see if they can find a
pattern. As the amount of time decreases (the team was moving
faster), what happened to the number of dropped disks? Were they
dropping fewer disks, showing improvement? What else could explain
the results? Look at each trial and see what was happening.
As a summary, students can either orally or in a paragraph
explain what the graph indicates about the relationship between
speed and dropped disks.
Standards
This activity supports: California Academic Content Standards - Mathematics - Four Statistics, Data Analysis, & Probability. Students organize, represent, and interpret numerical and categorical data and clearly communicate their findings. Standard 1.1: Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts; and Standard 1.3: Interpret one- and two-variable data graphs to answer questions about a situation.