Geometry
8/25-26 Organization of Class and Syllabus
Pre-AP Geometry
8/25-26 Organization of Class and Syllabus
8/27-28 Geometric Figures
8/31 & 9/1 Inductive and Deductive Reasoning
9/2-3 Definitions and Proof
9/4 & 9/7 Conditional Statements and Related Conditionals (Converse, Inverse and Contrapositive)
9/8-9 Start Unit B
9/10 & 11 Unit A Assessment
Focus TEKS
G.4A distinguish between undefined terms, definitions, postulates, conjectures, and theorems. (S)
G.4B identify and determine the validity of the converse, inverse and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse. (S)
G.4C verify that a conjecture is false using a counterexample. (R)
Student will know...
the difference between undefined and defined terms.
various naming conventions of geometric objects (e.g., points. lines. rays, angles, and planes).
characteristics of an axiomatic system of geometry
Student will be able to ...
identify, describe, and write the names of points, lines, line segments, rays, angles, vertex, and planes using correct notation.
make conjectures by applying inductive reasoning.
use deductive reasoning to prove that a conjecture is true
identify the hypothesis and conclusion of a conditional statement.
determine if a statement is true or false by providing a counterexample (if it exists).
identify the truth values of the converse, inverse, and contrapositive of a conditional statement.
write and interpret bi-conditional statements.
use algebraic properties to complete two column proofs.
Pre-AP Students will also be able to ...
explain the limits of inductive reasoning.
develop geometric and algebraic arguments based on deductive reasoning.