1. Use inductive reasoning to find the nth term. 2. Generalize linear and geometric patterns to find the nth term. 3. Write a conjecture using inductive reasoning. 4. Apply angle relationships to solve for an unknown.
· Inductive/Deductive reasoning · Conjecture · Converse/Inverse/Contrapositive · Linear Pair · Vertical Angle · Parallel Lines · Corresponding sides · Alternate Exterior/Interior Angles · Same Side
G.1.A Distinguish between inductive and deductive reasoning. G.2.A Know, prove, and apply theorems about parallel and perpendicular lines G.2.B Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal. 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.C Use deductive reasoning to prove that a valid geometric statement is true. G.3.K Analyze cross-sections of cubes, prisms, pyramids, and spheres and identify the resulting shapes.
*G.7.A Analyze a problem situation and represent it mathematically. *G.7.B Select and apply strategies to solve problems. 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.E Read and interpret diagrams, graphs, and texts containing the symbols, language and conventions of mathematics. G.7.H Use inductive reasoning to make conjectures, and use deductive reasoning to prove or disprove conjectures. |