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Unit Plans for 2009-2010 First Quarter: Tools of Geometry What determines the precision of a measurement? How are the distance and midpoint formulas derived? How can we figure out surface area and volume without using formulas? Proof What does it mean to prove something? Why is it only necessary to have one counterexample to disprovesomething, but you need more than that to prove something? What does it mean to be logically equivalent? Parallel and Perpendicular What types of angles are formed when two lines are cut by a transversal? Second Quarter: What is slope? Triangles How can we prove two triangles are congruent? Why doesn't AAA work? Does the side length of triangle affect the size of the angle across from it? Quadrilaterals What does the measure of the interior and exterior anges of a polygon depend on? Third Quarter: Proportions and Similarity what are the properties of similar figures and what do they mean? What does it mean to be similar? Transformations What transformations are considered an isometry? Trigonometry What are the relationships between the parts of a right triangle? What are sine, cosine, and tangent and how are they used? Fourth Quarter: Area How can we use areas we know how to find to derive areas we do not know? Circles How is the equation of a circle determined? How are different types of angles related to the arcs they intercept? How is pi derived? Final Projects
Ms. Curci - Mathematics NYOS Charter School  |
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