IM 8.6.1 Lesson: Organizing Data

Here is a table of data. Each row shows two measurements of a triangle.

  What do you notice? What do you wonder?

Here is the table of isosceles right triangle measurements from the warm-up and an empty table. How can you organize the measurements from the first table so that any patterns are easier to see? Write the organized measurements in the empty table.

For each of the following lengths, estimate the perimeter of an isosceles right triangle whose short sides have that length. Explain your reasoning for each triangle.

length of short sides is 0.75 cm

length of short sides is 5 cm

length of short sides is 10 cm

In addition to the graphic representations of data you have learned, there are others that make sense in other situations. Examine the maps showing the results of the elections for United States president for 2012 and 2016. In red are the states where a majority of electorate votes were cast for the Republican nominee. In blue are the states where a majority of the electorate votes were cast for the Democrat nominee. What information can you see in these maps that would be more difficult to see in a bar graph showing the number of electorate votes for the 2 main candidates?

Why are these representations appropriate for the data that is shown?

Here are four scatter plots and a table of data. Match one of the scatter plots to the table (delete the others). Use information from the table to label the axes on the scatter plot.

Here are four scatter plots and a table of data. Match one of the scatter plots to the table (delete the others). Use information from the table to label the axes on the scatter plot.

Here are four scatter plots and a table of data. Match one of the scatter plots to the table (delete the others). Use information from the table to label the axes on the scatter plot.

Here are four scatter plots and a table of data. Match one of the scatter plots to the table (delete the others). Use information from the table to label the axes on the scatter plot.