NY Next Generation Math NY-6.G.4
The Standard
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent right rectangular prisms, right rectangular pyramids, and right triangular prisms with nets of rectangles and triangles. Using supplied measurements, they find each face area and total surface area in context.
What Mastery Looks Like
- A student labels all faces on a right triangular prism net, calculates each rectangle and triangle area, and adds them once. The student verifies that the net folds into the intended solid.
Common Misconceptions
- Students may omit a face, count one face twice, or pair dimensions that do not belong to the same face. They may confuse the net's total area with the solid's volume.
How to Assess It
- Give students a net for a right rectangular prism with all needed dimensions. Ask them to label corresponding faces, find each face area, and calculate the surface area.
Lesson moves
Ways to Teach It
Cut and fold measured nets for the permitted prism and pyramid types, then unfold them to total the face areas.
Ask students how matching edges on a net reveal which faces meet when the solid is folded.
Play net audit by finding omitted, duplicated, or mismatched faces before calculating surface area.
Determine the material needed to cover a rectangular box or right triangular-prism package.
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Printable NY-6.G.4 Worksheet
A ready-to-print activity worksheet aligned to NY-6.G.4, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-6.G.1
Find area of triangles, trapezoids, and other polygons by composing into rectangles or decomposing into triangles and quadrilaterals. Apply these techniques in ...
- NY-7.G.6
Solve real-world and mathematical problems involving area of two-dimensional objects composed of triangles and trapezoids.
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