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Chapter 1--Introducing Geometry

Essential Question:  How are geometric definitions and notation used to classify and differentiate geometric figures and to verify measures?

Unit Rationale:  Definitions, postulates, and theorems build a foundation for using mathematical logic to solve problems.

As a result of this unit, students will be able to:

Ø  Write a definition to Classify and Differential terms

Ø  Use appropriate geometric notation

Ø  Use geometric tools to measure lengths and angles

Ø  Write congruence statements

Ø  Identify Corresponding parts

Ø  Construct isosceles, equilateral, and right triangles


·         Defined/Undefined Terms

·         Postulate/Theorem/Example/Counterexample

·         Point/Endpoint/Plane

·         Line/Line Segment/Ray

·         Perpendicular/Parallel

·         Collinear/Coplanar

·         Midpoint/Bisect/Angle Bisector

·         Angle/Vertex

·         Right/Acute/Obtuse

·         Protractor/Degree

·         Venn Diagram

·         Locus

Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. 

Focus Standards:

*G.1.F Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems.

G.2.D Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space.

Supporting Standards:

G.3.K Analyze cross-sections of cubes, prisms, pyramids, and spheres and identify the resulting shapes.

*G.4.B Determine the coordinates of a point that is described geometrically.

*G.1.E Identify errors or gaps in a mathematical argument and develop counterexamples to refute invalid statements about geometric relationships.

Reasoning, Problem Solving, and Communication Standards:

*G.7.A Analyze a problem situation and represent it mathematically.

*G.7.B Select and apply strategies to solve problems.

G.7.E Read and interpret diagrams, graphs, and texts containing the symbols, language and conventions of mathematics.