Georgia 7.GSR.5.6
The Standard
Solve realistic problems involving surface area of right prisms and cylinders.
Georgia's K-12 Mathematics Standards · Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify which surfaces of a prism or cylinder must be covered in a given situation. They use dimensions to calculate the needed area and report it in square units.
What Mastery Looks Like
- Students choose the correct dimensions and formula, then calculate the area of every needed surface. They explain whether to include all faces and label answers in square units.
Common Misconceptions
- Students may use diameter in place of radius or confuse circumference with circle area. They may omit a base, count hidden faces, or give linear units instead of square units.
How to Assess It
- Exit ticket: A closed can has radius 3 cm and height 8 cm. Using 3.14 for pi, find the metal needed and show your equation.
Lesson moves
Ways to Teach It
Give pairs cereal boxes and cans to measure, sketch as nets, and calculate the total area of packaging.
Ask students to explain how removing a cylinder's top changes its surface area calculation.
Run a matching game with object diagrams, dimensions, surface area expressions, and calculated answers.
Compare two shipping box designs for the same product and determine which uses less cardboard.
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Printable 7.GSR.5.6 Worksheet
A ready-to-print activity worksheet aligned to 7.GSR.5.6, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.GSR.5
Solve relevant problems involving area, surface area, and volume.
- 8.GSR.8.4
Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve in relevant problems.
- 7.GSR.5
Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms compose...
- 7.GSR.5.8
Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.
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