Geometry

Overview

Course Description

Semester A

Geometry is the study of the measurement of the world. What makes Geometry so engaging is the relationship of figures and measures to each other, and how these relationships can predict results in the world around us. Through practical applications, the student sees how geometric reasoning provides insight into everyday life. The course begins with the tools needed in Geometry. From these foundations, the student explores the measure of line segments, angles, and two-dimensional figures. Students will learn about similarity, triangles and trigonometric ratios. Geometry A consists of six modules. Each module comprises ten lessons for a total of 60 lessons in the course.

Semester B

This course builds on the foundation of the first terms in Geometry. As in previous courses, deductive and inductive reasoning are emphasized, while applying problem-solving techniques to real-world problems. Students explore quadrilaterals and circles and learn how an object is transformed, as well as how to represent that transformation algebraically and geometrically. Students calculate area and volume of two-dimensional and three-dimensional objects. Geometry B consists of six modules. Each module comprises ten lessons for a total of 60 lessons in the course.

Course Requirements

Grade Level

10

Materials

  • GeoGebra, or other geometry software (optional)
  • Compass
  • Protractor
  • Straightedge (such as ruler)
  • Calculator (or GCalc)
  • Graph Paper

Duration

2 Semesters

Prerequisites

Algebra 1

Technology Skills

  • Internet Navigation
  • Word Processing
  • Email Communication

Outline

Semester A

Major Concepts

  • Geometry Tools
  • Logic and Proofs
  • Angles and Lines
  • Congruence and Similarity
  • Triangles
  • Trigonometric Ratios

Semester B

Major Concepts

  • Quadrilaterals
  • Transformations
  • Circles
  • Area
  • Volume
  • Probability