Geometry

Course Overview

This intensive summer course is designed to provide an accelerated path through the traditional high school geometry curriculum. Focusing on Euclidian geometry, students will examine topics relating to parallel lines, similar and congruent triangles, quadrilaterals, polygons, and circles. Students can expect to analyze lengths, areas, and volumes of two and three dimensional figures, and will explore transformations and other manipulations. Particular attention will be paid to introductory trigonometry with right triangles and the study of circles (radians, sectors, arc length etc). In addition, the development of a mature, logical thought process will begin through a formal introduction to arguments, deductions, theorems, and proofs. Because this course will cover topics that are typically presented in a yearlong course, students should expect to dedicate 15-20 hours per week during the intensive 7-week summer session. Prerequisite: A strong background in Algebra 1 or similar.

Recommended resource: This course will draw significantly from McDougal-Littell's Geometry, Jurgensen, Brown, and Jurgensen 2011. It is not required that students purchase it - though they may find it useful as a companion resource for this course.

Recommended Material

NCAA-approved course

UC-approved course

Course Outline

View Course Outline

Competencies

• Reflect on and take responsibility for your learning and that of others
• Organize your time and tasks to learn independently
• Apply Axioms, Postulates, and Theorems to New Contexts with Accuracy and Flexibility
• Develop Logical Arguments and Use Deductive Reasoning