This lesson is designed to introduce students to the concept of surface area and how to find the
surface area of rectangular prisms.

Objectives

Upon completion of this lesson, students will:

have a basic understanding of the concept of surface area.

understand how to solve problems using the surface area of a rectangular prism.

Standards Addressed:

Grade 10

Geometry

The student solves problems (including real-world situations).

Grade 6

Geometry

The student solves problems (including real-world situations) using perimeter, area, or volume.

Grade 7

Geometry

The student solves problems (including real-world situations).

Grade 8

Geometry

The student solves problems (including real-world situations).

Grade 9

Geometry

The student solves problems (including real-world situations).

Grades 8-12

Geometry

8.0 Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.

9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

Geometry

Geometric Measurement and Dimension

Visualize relationships between two-dimensional and three- dimensional objects

Seventh Grade

Geometry

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Sixth Grade

Geometry

Solve real-world and mathematical problems involving area, surface area, and volume.

Third Grade

Measurement and Data

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Grades 9-12

Geometry

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

Geometry

Geometry and Measurement

Competency Goal 2: The learner will use geometric and algebraic properties of figures to solve problems and write proofs.

Geometry

Geometry

Standard G-7: The student will demonstrate through the mathematical processes an understanding of the surface area and volume of three-dimensional objects.

7th Grade

Geometry

The student will develop an understanding of geometric concepts and relationships as the basis for geometric modeling and reasoning to solve problems involving one-, two-, and three-dimensional figures.

8th Grade

Geometry

The student will develop an understanding of geometric concepts and relationships as the basis for geometric modeling and reasoning to solve problems involving one-, two-, and three-dimensional figures.

Geometry

Measurement

Students will apply appropriate units of measurement; develop effective estimation and computation strategies for solving real world problems involving length, area, and volume; and choose appropriate techniques and tools to measure quantities in order to

Geometry

Congruence and the Geometry of Size

8. The student uses tools to determine measurements of
geometric figures and extends measurement concepts to find perimeter, area, and volume in
problem situations.

Secondary

Geometry

G.13 The student will use formulas for surface area and volume of three-dimensional objects to solve practical problems. Calculators will be used to find decimal approximations for results.

A measure of the number of square units needed to cover the outside of a figure

Lesson Outline

Focus and Review

Remind students what has been covered in previous lessons and have students review the following:

Area of shapes (squares and rectangles)

Basic concept of surface area

Basic properties of three-dimensional figures

Objectives

Let students know what they will be doing and learning today. Say something like this:

Today we are going to be discussing surface area and finding the surface area of rectangular
prisms.

We are going to continue to use the
Surface Area and Volume applet that we have used previously to find the volume of prisms. Please don't open your
computers until I instruct you to do so.

Make sure that students are using
Rectangular Prism under the drop-down menu.

Note: If students will be using the
Compute mode for finding only the surface area of the rectangular prism, be sure to show students the
error message that will appear.

Independent Practice

Have students open
Surface Area and Volume applet to
Compute mode and choose
Rectangular Prism from the drop-down menu.

Teacher should monitor the room for questions and make sure that students are on the correct
website.

Closure

You may wish to bring the class back together to discuss any problems that were especially hard
for students to solve. Once the students have been allowed to share what they found, summarize
once more the main points of the lesson.

You may wish to have students discuss the second question on the Record Sheet that asks students
to look for a relationship between the volume and surface area of a rectangular prism.

Alternate Outline

This lesson can be rearranged for if there is only one computer available in the classroom.

Instead of having students complete Record Sheet in pairs, display the Compute mode on a
classroom computer, record the dimensions on the whiteboard, and have students work
independently to solve for the surface area. Once students have computed the surface area, have
one student enter the number to check answer.

Suggested Follow-Up

This lesson is designed to be followed by a
lesson that generalizes the formula for surface area to all prisms.