Students find the distance between points using common fractions and decimals, with the concepts of midpoint and distance. They also learn to solve problems using the Pythagorean theorem.

Before the Activity

See the attached PDF file for detailed instructions for this activity

Print pages 97 - 100 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the activity procedures:

Draw a line segment and label three midpoints as described

Use the calculator to determine the measure of each half segment

Plot a trapezoid on a grid paper

Mark and label the midpoints of three sides

Use the midpoint formula to find the midpoint of the fourth side

Use the distance formula to determine the length of the fourth side

Draw a diagonal along a 3" x 5" card, forming two right triangles

Draw an altitude from the right triangle to the hypotenuse of one of the right triangles, forming three triangles

Measure the lengths of the sides of the three triangles and record the values in a table

Compare side lengths and check if they confirm to the Pythagorean theorem

After the Activity

Students complete the Student Activity pages and solve problems.

Review student results

As a class, discuss questions that appeared to be more challenging