MIDDLE / UPPER SCHOOL – GEOMETRY I

Geometry – Year I Course: Introduction to Geometry

This is the first year of a comprehensive two-year Geometry course that covers the full scope of high school geometry. Meeting once per week over 32 weeks, this course emphasizes the study of properties and applications of two- and three-dimensional geometric figures.

Students will explore key geometric concepts through a combination of visual reasoning, logical deduction, and real-world problem solving. Inductive and deductive thinking are emphasized, along with foundational proof-writing techniques used to establish the properties of geometric figures. This course also introduces basic right triangle trigonometry and geometric transformations.

Topics Covered Include:

    • Points, lines, planes, and angles: definitions, postulates, and relationships
    • Angle relationships with parallel lines and transversals
    • Triangle congruence: SSS, SAS, ASA, AAS and corresponding parts
    • Perimeter and area of two-dimensional shapes
    • Similar figures: ratios, proportions, and similar triangles
    • Right triangles and the Pythagorean Theorem
    • Quadrilaterals and special parallelograms

Recommended For:

  • Returning AlphaMinds students who have successfully completed our Math MS I course or higher
  • New students in grades 7–9 who have completed a Pre-Algebra course or higher.  New students are encouraged to take our placement assessment to ensure proper placement. Please email us at info@alphamindsacademy.com to request the test.
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