Mathematics Academic Content Standards
Benchmarks (5 - 7)
E.
Use problem solving techniques and technology as needed to solve problems involving length, weight, perimeter, area, volume, time and temperature.
G.
Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for three-dimensional shapes.
Benchmarks (8 - 10)
B.
Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision.
E.
Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision.
Grade Level Indicators (Grade 5)
3.
Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects.
Grade Level Indicators (Grade 6)
1.
Understand and describe the difference between surface area and volume.
Grade Level Indicators (Grade 7)
8.
Understand the difference between surface area and volume and demonstrate that two objects may have the same surface area, but different volumes or may have the same volume, but different surface areas.
Grade Level Indicators (Grade 8)
10.
Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision.
Mathematical Processes Standard
Benchmarks (5 - 7)
B.
Apply and adapt problem-solving strategies to solve a variety of problems, including unfamiliar and non-routine problem situations.