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Section: G.5.7

Summative Assessment

Students demonstrate their ability to

• explain where formulas for the volume of various shapes come from;
• use volume to solve a real-world problem;
• sketch two-dimensional cross-sections of a rectangular prism;
• describe a three-dimensional shape generated by rotating a shape around a line.

In this unit students give more sophisticated, although still informal, arguments for the circumference, area, and volume formulas that they learned in earlier grades. These arguments rely on dissections, informal limits, and Cavalieri’s Principle. After giving arguments for the volume formulas, students use these formulas in solving a variety of modeling problems, including problems that involve density.

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