# This activity investigates and compares the surface areas and lateral areas of prisms in a photo story

Subject:

Math

10

Title – Discovering by Measuring – Surface Area
By – Jaime Villarreal
Primary Subject – Math

Concept / Topic To Teach:

Using formulas to find surface area of two and three dimensional objects and using percentages to compare.

• Measurement
• Using percentages to compare
• Using formulas to find area

General Goal(s):

• Student recognizes that mathematics is developed for a variety of purposes
• Student selects an appropriate representation (concrete, pictorial, graphical, verbal or symbolic) in order to solve problems.
• Student uses nets to represent and construct 3-dimensional objects.
• Student finds surface area of two and three dimensional objects.

Specific Objectives:

• Investigate the surface areas and lateral areas of prisms.
• Use surface areas of prisms in daily life, from CD cases and videocassette boxes to cereal boxes.
• Use PhotoStory 3 software to display process of investigation in order to answer the following questions:
• How does an unfolded and flattened prism-shaped package differ from a net or a prism?
• Compare the percents you calculated. What did you find out about the amount of extra material needed for prism-shaped containers?
• Why would a manufacturer be concerned about the surface area of a package? About the amount of material used to make the package?

Required Materials:

• Some empty cardboard containers shaped like prisms.
• Rulers
• Calculator