Logic & Reasoning (4 Block Days)
The foundation of geometry is logical thinking and proving geometric relationships. Allowing students to formulate both conjectures and counter-examples deepens their understanding of geometric concepts.
Focus TEKS
G.3A Determine the validity of a conditional statement, its converse, inverse, and contra-positive (S)
G.3B Construct and justify statements about geometric figures and their properties (S)
G.3C Use logical reasoning to prove statements are true and find counter-examples to disprove statements that are false (R)
G.3D Use inductive reasoning to formulate a conjecture (S)
G.3E Use deductive reasoning to prove a statement (S)
G.5A Use numeric and geometric patterns to develop algebraic expressions representing geometric properties (R)
Students will know…
the difference between inductive and deductive reasoning
the structure of conditional statements
the truth value of the converse, inverse, and contrapositive statements
Students will be able to…
use deductive or inductive reasoning to prove statements.
determine the truth value of a statement and identify the counterexamples as needed.
write the converse, inverse, contrapositive, and bi-conditional statements as needed.
Lesson Plan (Regular and Pre-AP Geometry)
9/22-23 Inductive Reasoning
9/24-25 Conditional Statements
9/26 & 29 Deductive Reasoning and Review
9/30 & 10/1 Unit B Logic & Reasoning Exam