Surface+Area+and+Volume

toc

Surface Area and Volume standards and lessons for grades 6-8.

=**6.G.2**=
 * Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas //V = l w h// and //V = b h// to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.**

Illuminations
 * Hay Bale Farmer
 * Fishing for the Best Prism
 * Finding Surface Area and Volume
 * Cubed Cans
 * Tetrahedral Kites
 * Scaling Away

Illustrative Mathematics
 * //multiple tasks//

MARS
 * Optimizing: Packing It In
 * Designing: Candy Cartons

Lessons for Learning - 6th Grade (pdf file)
 * Block Party

=**6.G.4**=
 * 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.**

Illuminations
 * Fishing for the Best Prism
 * Finding Surface Area and Volume
 * Building a Box
 * Tetrahedral Kites
 * Purple Prisms

Illustrative Mathematics
 * Nets for Pyramids and Prisms

MARS
 * Designing: Candy Cartons

=**7.G.6**=
 * Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.**

Illuminations
 * Popcorn, Anyone?

Dan Meyer
 * Popcorn Picker
 * Coffee Traveler
 * Ticket to Ride (zip file)
 * Holes

Illustrative Mathematics
 * Sand under the Swing Set

Lessons for Learning - 7th Grade (pdf file)
 * Changing Surface Areas
 * Packing to Perfection

=**8.G.9**=
 * Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.**

Illuminations
 * Hay Bale Farmer
 * Fishing for the Best Prism
 * Finding Surface Area and Volume
 * Cubed Cans
 * Tetrahedral Kites
 * Scaling Away

Illustrative Mathematics
 * //multiple tasks//

Lessons for Learning - 8th Grade (pdf file)
 * Gift Box Dilemma
 * Meltdown