In class today students had about 1/2 hour to work silently on the chapter review assignment and then time to compare. I answered questions on a few area problems. One nice question was whether a square peg in a circular hole is a tighter fit than a circular peg in a square hole? The ratio of the area of a square peg to the smallest round hole it can fit through is which we can reason must be less than while the ratio of the area of the round peg to the smallest square hole's area is which we can reason is greater than 75%. So, the round peg in a square hole is a tighter fit.
- Be able to explain the area formula for any 3- or 4-sided polygon and also any regular n-gon.
- Explain why the area of a circle is and the circumference is or
- Explain why the lateral surface area of any pyramid with a regular polygon base is
- Explain why the formula for the surface area of a cone is or
- Solve problems involving area of geometric shapes, express answers in exact form (in terms of , in simplest radical form, using fractions)
- Understand problems similar to homework problems throughout the unit.
Assignment: Chapter 8 Review on p. 455: 1-47 (odds) + 38. Priority problems (to be done first) were 25, 38, 39, 45.