Accessible Shapes: Geometry   Western Reserve Public Media
Surface Area and Volume

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

05-07 Benchmark

G. Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for three-dimensional shapes.

Y2003.CMA.S02.G05-07.BG.L06.I01 Measurement Units /

01. Understand and describe the difference between surface area and volume.

 

05-07 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.G05-07.BF.L06.I01 Measurement Units /

01. Understand and describe the difference between surface area and volume.

 
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Overview Geometry and Spatial Sense Angles, Triangles and Quadrilaterals Surface Area and Volume Online Resources Teacher Materials Watch Accessible Shapes: Geometry Online Surface Area and Volume Overview Surface Area and Volume Vocabulary Review: Area, Perimeter, Circumference What Am I? PowerPoint Presentation Review: Area and Perimeter PowerPoint Presentation Circles: Area and Circumference PowerPoint Presentation Graphing Area and Perimeter Introduction to Volume and Surface Area Volume of a Rectangular Prisms PowerPoint  Presentation Surface Area of Rectangular Prisms PowerPoint  Presentation Volume of a Cylinder PowerPoint Presentation Surface Area of a Cylinder PowerPoint Presentation Introduction to Surface Area and Volume: Popcorn  Prisms Introduction to Surface Area and Volume: Popcorn  Cylinders Important Formulas (PDF file) Formative Assessment — Vocabulary: What Am I? (PDF file) Formative Assessment: Volume and Surface Area (PDF file) Formative Assessment: Volume and Surface Area Answers (PDF file) Review: Area and Perimeter (PDF file) Review: Area and Perimeter Answers  (PDF file) Pi — π (PDF file) Review: Circles (PDF file) Review: Circles Answers (PDF file) Graphing Area and Perimeter — Fixed Perimeter (PDF file) Graphing Area and Perimeter — Fixed Perimeter Answers (PDF file) Graphing Area and Perimeter — Fixed Area (PDF file) Graphing Area and Perimeter — Fixed Area Answers (PDF file) Volume of a Rectangular Prism (PDF file) Volume of a Rectangular Prism Answers (PDF file) Surface Area of a Rectangular Prism (PDF file) Surface Area of a Rectangular Prism Answers (PDF file) Volume of a Cylinder (PDF file) Volume of a Cylinder Answers (PDF file) Surface Area of Cylinders (PDF file) Surface Area of Cylinders Answers (PDF file) Popcorn Prisms (PDF file) Popcorn Cylinders (PDF file) Summative Assessment: Volume and Surface Area (PDF file) Summative Assessment: Volume and Surface Area Answers (PDF file)