Georgia 6.GSR.5.2
The Standard
Given the net of three-dimensional figures with rectangular and triangular faces, determine the surface area of these figures.
Georgia's K-12 Mathematics Standards · Solve relevant problems involving area, surface area, and volume.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students read a net and identify the rectangles and triangles that form the solid. They find each face’s area, then add the areas without skipping or repeating faces.
What Mastery Looks Like
- Students label every face and select the correct area formula for each shape. They organize their work, include every face once, and report the total in square units.
Common Misconceptions
- Students may omit a face, count a face twice, or add side lengths instead of areas. They may also use a triangle’s slanted side as its height or confuse surface area with volume.
How to Assess It
- Give a triangular prism net with triangles of base 6 and height 4, plus rectangles 8 by 5, 8 by 5, and 8 by 6. Ask students to label each face, show its area, and find the total surface area.
Lesson moves
Ways to Teach It
Cut and fold a paper net, color matching faces, then unfold it and calculate the area of each face.
Ask students to explain how they know every face was counted once when finding surface area from a net.
Play an error sort using sample solutions with missing faces, doubled faces, incorrect triangle heights, and wrong units.
Measure a small package, sketch its net, and calculate how much cardboard is needed to make it.
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Printable 6.GSR.5.2 Worksheet
A ready-to-print activity worksheet aligned to 6.GSR.5.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 3.GSR.7.2
Determine the area of rectangles (or shapes composed of rectangles) presented in relevant problems by tiling and counting.
- 7.GSR.5.7
Describe the two-dimensional figures (cross sections) that result from slicing three-dimensional figures, as in the plane sections of right rectangular prisms, ...
- 6.GSR.5.3
Calculate the volume of right rectangular prisms with fractional edge lengths by applying the formula, V = (area of base) x (height).
- 6.GSR.5.1
Explore area as a measurable attribute of triangles, quadrilaterals, and other polygons conceptually by composing or decomposing into rectangles, triangles, and...
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