Surface Area and Volume
This unit helps students to understand the difference between volume and surface area and begins with two formative assessments. Next, the unit reviews finding the area and perimeter of rectangular prisms and finding the area and circumference of cylinders. Then, students are introduced to the volume and surface area of rectangular prisms and of cylinders through the use of PowerPoint presentations and student handouts.
As a final project, the students use a sheet of 8.5" x 11" paper and make a rectangular prism by folding the paper into fourths and adding a bottom. They then turn the paper in the landscape position and do the same. They must determine which shape has a greater volume and which has a greater surface area. The next part of the lesson asks the students to repeat the process, but this time to make a cylinder using a sheet of paper, both in the portrait and the landscape position and then determine which has a greater volume. Popcorn is the tool that will help them visually see the results.
The unit is followed by a summative assessment.
Benchmarks and Standards
Measurement
Grade 6
0507 Benchmark
G. Understand and demonstrate the independence of perimeter and area for twodimensional shapes and of surface area and volume for threedimensional shapes.
Y2003.CMA.S02.G0507.BG.L06.I01 Measurement Units /
01. Understand and describe the difference between surface area and volume.
0507 Benchmark
F. Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed.
Y2003.CMA.S02.G0507.BF.L06.I01 Measurement Units /
01. Understand and describe the difference between surface area and volume.
