• 3-5: 1A/E2. Science is a process of trying to figure out how the world works by making careful observations and trying to make sense of those observations.
• 6-8: 1A/M3. Some scientific knowledge is very old and yet is still applicable today.

• 6-8: 1B/M1b. Scientific investigations usually involve the collection of relevant data, the use of logical reasoning, and the application of imagination in devising hypotheses and explanations to make sense of the collected data.

• 6-8: 9C/M7. For regularly shaped objects, relationships exist between the linear dimensions, surface area, and volume.
• 6-8: 9C/M10. Geometric relationships can be described using symbolic equations.
• 9-12: 9C/H3a. Geometric shapes and relationships can be described in terms of symbols and numbers—and vice versa.

• 6-8: 12B/M3. Calculate the circumferences and areas of rectangles, triangles, and circles, and the volumes of rectangular solids.
• 6-8: 12B/M7b. Convert quantities expressed in one unit of measurement into another unit of measurement when necessary to solve a real-world problem.

• 5.MD.3.b A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
• 5.MD.5.b Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

• 5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

• 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.

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

One of the best lessons we've found to help students get the connection between dimension and volume. They conduct an experiment to create two rectangular prisms and two cylinders, then determine which design holds the most popcorn. They will test ideas, graph outcomes, and present findings. Includes printable worksheets with answer keys.

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