Ø Apply the Pythagorean Theorem and its converse to: § Real world situations § Finding distance on a coordinate grid § Circles
· Pythagorean Theorem · Special Triangles · Distance formula · Converse · Inverse · Contrapositive · Validity · Counterexample
*G.3.C Use the properties of special triangles to solve problems. *G.3.D Know, prove, and apply the Pythagorean Theorem and its converse. G.4.D Determine the equation of a circle that is described geometrically in the coordinate plane, and , given equations for a circle and a line, determine the coordinates of their intersection(s).
*G.1.C Use deductive reasoning to prove that a valid geometric statement is true. G.1.B Use inductive reasoning to make conjectures, to test the plausibility of a geometric statement, and to help find a counterexample. *G.1.D Write the converse, inverse, and contrapositive of a valid proposition, and determine their validity.
G.7.D Generalize a solution strategy for a single problem to a class of related problems and apply a strategy for a class of related problems to solve specific problems. G.7.F Summarize mathematical ideas with precision and efficiency for a given audience and purpose. |