IM 7.3.1 Lesson: How Well Can You Measure?

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

A student got 16 out of 21 questions correct on a quiz. Use mental estimation to answer these questions.

Did the student answer less than or more than 80% of the questions correctly?

Did the student answer less than or more than 75% of the questions correctly?

Your teacher will assign your group 3 squares to examine. For each of your assigned squares, measure the length of the diagonal and the perimeter of the square in centimeters. After you come to an agreement, record your measurements in the table.

Plot the diagonal and perimeter values from the table above on the coordinate plane.

What do you notice about the points on the graph? Record measurements of the other squares to complete your table.

In the table, record the length of the diagonal for each of your assigned squares from the previous activity. Next, calculate the area of each of your squares. Then pause here so your teacher can review your work. Be prepared to share your values with the

Plot the diagonal and area values from the table above on the coordinate plane.

Examine the graph of these values. What do you notice?

How is the relationship between the diagonal and area of a square the same as the relationship between the diagonal and perimeter of a square from the previous activity? How is it different?

Here is a rough map of a neighborhood.

There are 4 mail routes during the week.

On Monday, the mail truck follows the route A-B-E-F-G-H-A, which is 14 miles long.
On Tuesday, the mail truck follows the route B-C-D-E-F-G-B, which is 22 miles long.
On Wednesday, the truck follows the route A-B-C-D-E-F-G-H-A, which is 24 miles long.
On Thursday, the mail truck follows the route B-E-F-G-B.

How long is the route on Thursdays?