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High School Geometry

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Suggested Prerequisites

Algebra 1

Description

Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving.

Module One: Geometry Foundations

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

Module Two: Transformations and Congruence

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

Module Three: Dilations and Similarity

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

Module Four: Coordinate Geometry

  • Using the Coordinates
  • Slope
  • Coordinate Applications

Module Five: Right Triangles and Trigonometry

  • Solving Right Triangles
  • Trigonometric Ratios
  • Applying Trigonometric Ratios

Module Six: Volume and Figures

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

Module Seven: Circles

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