High School Geometry

Discover the beauty of shapes, patterns, and spatial reasoning through hands-on projects and creative problem-solving with real-world connections

4.9 (47 reviews)
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Course Description

Discover the beauty of shapes, patterns, and spatial reasoning through hands-on projects and creative problem-solving! In this engaging Geometry course, learners will explore geometric concepts while making real-world connections. From designing architectural structures to understanding the mathematical principles behind art and nature, students will develop visual and analytical thinking skills. Collaborative projects, geometric proofs, and technology integration make learning both rigorous and enjoyable, preparing learners for advanced mathematics and STEM fields.

Format Options:

Live Virtual: Interactive real-time sessions with immediate feedback, collaborative problem-solving, and peer engagement in geometric investigations and constructions.

Hybrid: This flexible, self-paced Geometry course allows learners to explore spatial concepts and geometric reasoning at their own speed. With engaging pre-recorded lessons and interactive activities, learners develop visual thinking skills while receiving personalized feedback from facilitators on major projects. Parents/guardians support routine grading, creating a comprehensive learning experience that balances independence with guidance.

What You'll Learn

  • Explore geometric concepts including lines, angles, and polygons
  • Master geometric proofs and logical reasoning
  • Understand congruence, similarity, and transformations
  • Calculate area, perimeter, surface area, and volume
  • Apply the Pythagorean Theorem and trigonometric ratios
  • Design architectural structures and analyze geometric patterns
  • Develop visual and spatial reasoning skills
  • Connect geometry to art, nature, and real-world applications

Course Features

  • Hands-on projects including architectural design and pattern analysis
  • Real-world connections to art, nature, and construction
  • Creative problem-solving challenges and investigations
  • Geometric proof writing and logical reasoning development
  • Technology integration for geometric constructions
  • Collaborative projects fostering teamwork and communication
  • Visual and spatial thinking skill development
  • Flexible format options (Live Virtual or Hybrid)

Key Geometric Topics

  • Points, Lines, and Angles - Basic geometric relationships and properties
  • Triangles and Polygons - Congruence, similarity, and special properties
  • Circles - Arcs, chords, tangents, and sector calculations
  • Transformations - Reflections, rotations, translations, and dilations
  • Area and Volume - Two-dimensional and three-dimensional measurements
  • Coordinate Geometry - Graphing and analyzing geometric figures

Materials Needed

  • Digital course materials and geometric software (provided)
  • Geometric construction tools (compass, protractor, straightedge)
  • Scientific calculator for calculations
  • Project materials for architectural design activities
  • Math notebook for proofs and problem-solving work

Prerequisites

Completion of Algebra 1 or equivalent skills in basic algebraic operations, equation solving, and mathematical reasoning. Students should be comfortable with coordinate graphing, basic trigonometry, and logical thinking. This course is designed for high school students ready to develop spatial reasoning and geometric thinking skills.

Course Curriculum

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