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High School Geometry

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Description

In Geometry, students explore geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments as geometric experiences are formalized and extended. Standards for mathematical practice are followed so that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

Segment One

Module 01 - Geometry Foundations

  • Basics of Geometry
  • Basic Constructions
  • Advanced Constructions
  • Introduction to Proofs
  • Line and Angle Proofs

Module 02 - Transformations and Congruence

  • Translations and Reflections
  • Rotations
  • Rigid Motion and Congruence
  • Triangle Proofs
  • Quadrilateral Proofs

Module 03 - Dilations and Similarity

  • Dilations
  • Similarity
  • Triangles and Similarity
  • Triangle Congruence and Similarity
  • Applications of Congruence and Similarity


Segment Two

Module 04 - Coordinate Geometry

  • Using the Coordinates
  • Slope
  • Coordinate Applications

Module 05 - Right Triangles and Trigonometry

  • Solving Right Triangles
  • Trigonometric Ratios
  • Applying Trigonometric Ratios

Module 06 - Volume and Figures

  • Formulas
  • Applications of Volume
  • Density
  • Three-Dimensional Figures

Module 07 - Circles

  • Properties of a Circle
  • Inscribed and Circumscribed Circles
  • Applications of Circles