CCSS.Math.Content.6.G.A.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.
Common Core State Standards for Mathematics · Geometry
What this standard means
Students need to turn a 3D figure into a flat net made of rectangles and triangles, then use that net to find total surface area. They should label side lengths, find the area of each face, and add the face areas without missing or double-counting any pieces.
Mastery looks like drawing or choosing a correct net, matching each face to the solid, and showing organized area work with units squared. Students often get stuck seeing which faces match, using the wrong height for triangles, or adding only the visible faces instead of every outside face.
Ways to teach it
- Give students cereal boxes and triangular prism templates, then have them cut, unfold, label, and calculate total surface area.
- Ask students to explain which net cannot fold into the given solid and support their answer with face matches.
- Show a rectangular prism net with dimensions and have students find the surface area on an index card in four minutes.
- Have students design wrapping paper for a gift box, calculating the minimum paper needed using a net.
Plan a lesson for CCSS.Math.Content.6.G.A.4
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Related standards
- CCSS.Math.Content.6.G.A.1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other sha...
- CCSS.Math.Content.7.G.B
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
- CCSS.Math.Content.7.G.B.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, ...
- CCSS.Math.Content.6.G.A
Solve real-world and mathematical problems involving area, surface area, and volume.