Pre-unit diagnostic assessment
Assess students’ ability to • find the circumference of a circle from its area; • find the volumes of various shapes including cylinders, cones,prisms; • describe two-dimensional figures that result from slicing a right triangular prism.
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.