Geometry

  • Course Description

    This course is designed for students who have successfully completed the standards for Algebra I. All students are expected to achieve the Geometry standards. The course includes an emphasis on developing reasoning skills through the exploration of geometric relationships including properties of geometric figures, trigonometric relationships, and mathematical proofs. In this course, deductive reasoning and logic are used in direct proofs. Direct proofs are presented in different formats (typically two-column or paragraph) and employ definitions, postulates, theorems, and algebraic justifications including coordinate methods. This set of standards includes emphasis on two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. A variety of applications and some general problem-solving techniques, including algebraic skills, should be used to implement these standards. Graphing utilities (calculators, computers, and other technology tools) and dynamic geometry applications will be used to assist in teaching and learning. 

     

    Curriculum Objectives by Quarter (subject to change)

     

    Quarter 1

    Logic & Reasoning

      G.1: Logic & Reasoning

    Essentials of Geometry

      G.3a: Distance, Midpoint, and slope

      G.4: Constructions & justify constructions

    Parallel & Perpendicular Lines

      G.2: Parallel cut by a transversal

      G.3ab: Using slope to determine parallel and perpendicular

      G.4bcdg: Constructions and justify constructions

    Quarter 2

    Introduction of Triangles & Congruent Triangles

      G.5: Use real world situations to analyze triangles

      G.6: Prove two triangles congruent

    Similar Triangles

      G.7: Prove two Triangles Similar

    Right Triangles

      G.8: Real world problems, Pythagorean Theorem,

             special right triangles, right triangle trigonometry          

     

    Quarter 3

    Properties of Quadrilaterals, Angles of Polygons, Symmetry & Transformations

      G.9: Quadrilaterals

      G.10: Angles of Polygons

      G.3: Symmetry & transformations

      G.5: Analyze Triangles

    Properties of Circles, Equations of Circles, Constructions

      G.11ab: Properties of Circles

      G.12: Equation of the Circle

    Quarter 4

    Two & Three Dimensional Figures

      G.11c: Arc lengths; area of sectors

      G.13: Three dimensional objects

      G. 14: Comparing geometric objects (2D & 3D)

    Review for SOL Assessment & Post SOL Topics

    • Factoring and simplifying polynomial expressions
    • Graphing linear equations and inequalities in two variables
    • Operations with polynomial expressions
    • Simplifying radicals

     


  • To access any of my geometry class materials, please visit my google classroom.

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