Today was our second block on area. We are trying to approach area from a "big picture" concept: what do you think area is? Is there always a formula? Can I estimate an irregular area? Can I find an accurate area for a space for which I don't know a formula? How can I find area by surrounding a figure with a rectangle? What does it mean to "slide a vertex" on a triangle? Can I find an area bordered by linear functions in the coordinate plane? Since we live in a 3-D world, isn't all area actually surface area (because everything has a thickness)? As we work, we are also thinking in terms of potential ASPIRE questions and how we would handle them correctly.
Today we did some warm-up questions that could be ASPIRE questions, went over homework #1 in detail, viewed tests in most classes, and then spent some time with graph paper, making sketches and deriving area formulas for triangle, trapezoid, kite, and regular polygons.
Notes are attached.
HW #2: pp 413-4:7-14, 20-21, p 422: 9-10, 12, 16, p 416:1,4,5. Use formulas, show work!!! IF solving for a dimension: write formula, plug in what you know, solve for what you don’t know algebraically. Answer in correct units.
Quiz next Thurs-Fri, April 4-5, 40 pts.
notes_on_area_formulas.pdf |