## Topic outline

•  •  ### Unit 1: Reasoning

•  •  ### Unit 3: Triangle Properties & Proof

State Standards

M2.3.A         Use deductive reasoning to prove that a valid geometric statement is true. Valid proofs may be presented in paragraph, two-column, or flow-chart formats. Proof by contradiction is a form of deductive reasoning. Embed

M2.3.B         Identify errors or gaps in a mathematical argument and develop counterexamples to refute invalid statements about geometric relationships.

M2.3.D         Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems.

M2.3.E         Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle.

M2.3.F         Determine and prove triangle congruence (and similarity) and other properties of triangles.

M2.3.G         Know, prove, and apply the Pythagorean Theorem and its converse.

M2.6.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.

M2.6.E          Read and interpret diagrams, graphs, and text containing the symbols, language, and conventions of mathematics.

M2.6.G          Synthesize information to draw conclusions and evaluate the arguments and conclusions of others.

•  ### Unit 4: Quadrilateral Properties

•  ### Unit 5: Quadrilateral Proofs

•  ### Unit 6: Coordinate Geometry & Proof

•  ### Unit 7: Parabolas

•  ### Unit 8: Quadratic Functions

•  ### Unit 9: Fun with Functions & Systems

•  ### Unit 10: Probability (Binomial Theorem)

•  ### Unit 11: Series

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