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The last topic! And it’s a big one. Here is the overall plan.
We start with a day on distance—finding the distance between two points, finding the distance from a point to a line—this will form a basis for the whole unit.
Then we do our shapes: circles, parabolas, ellipses, and hyperbolas. For each shape, there are really two things the students need to learn. One is the geometric definition of the shape. The other is what I call the machinery associated with the shape—the standard equation and what it represents. I cover these two things separately, and then connect them at the end.
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