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Unit 2

Unit Overview

In this unit, students are introduced to the ideas and concepts that provide a basis for understanding the deductive nature of geometry. The concept of proof is introduced as a means of verification. Students define and model conditionals and their converses with Euler diagrams, and construct logical chains. Arguments are analyzed to determine whether they are valid or invalid. The converse, inverse, and contrapositive of conditional statements are used in logical arguments. In Honors Geometry, students also determine the truth values of conjunctions, disjunctions, and negations using truth tables.

A focus of instruction is to identify and apply inductive and deductive reasoning. These types of reasoning are introduced using non-geometric examples. Inductive reasoning is applied to making conjectures. Deductive reasoning and valid arguments are used to draw logical conclusions. The concept of indirect proof, or proof by contradiction, is introduced. Students will apply their understanding of logical arguments to the development of 2-column, paragraph, and flowchart proofs, beginning in Unit 3.

Instructional Flow

Instructional Flow (PDF)

Description of the typical order of textbook sections and topics taught in the unit.

Expectations, Essential Questions, Enduring Understandings and Vocabulary

Unit 2 Standards for Geometry(PDF)

Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).

Content Map

Content map for Geometry Unit 2 (PDF)

Web Resources

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Unit 1  Unit 2  Unit 3  Unit 4  Unit 5  Unit 6  Unit 7  Unit 8  Unit 9