**Geometry**

Course Overview

__Course Goals and Contents:__

Geometry is everywhere around us, in both the natural and Anthropocene worlds, and we can gain practical knowledge and personal satisfaction from understanding its rules and operating principles. This course covers the foundational content of plane geometry including points, lines, planes, angles, parallel lines, the theorems for similar and congruent triangles, right triangles, two-column proofs, circles, quadrilaterals, areas, the distance formula and the midpoint formula.

__Pre-requisites:__

Students shall be proficient in the skills listed in the Algebra 1 course description.

__Topic Areas:__

- Points, lines, planes and angles.
- Theorems about angles and perpendicular lines.
- Parallel lines and planes.
- Properties of triangles: Theorems of triangle similarity and congruence (including SSS, SAS, ASA and Hypotenuse Leg theorems), CPCTC rule, two-column approach to proof.
- Right triangles and their special properties.
- Circles: tangents, arcs and chords; central and inscribed angles.
- Quadrilaterals: properties of parallelograms.
- Areas of plane figures.
- Analytic geometry: distance and midpoint formulas.
- Marine Navigation using NOAA charts
- Elements of trigonometry and their applications

__Typical Class Session:__

**Review**: Homework is assigned at the end of each class session. At the start of the following session the teacher provides a short review and then offers to work through problems the students may not have been able to solve. Homework is collected.

**New Instruction**: New content is presented with discussion, questions, and whiteboard examples. Students participate in solving additional problems at the whiteboard and at their desks.

**Hands-On Activity:**One of the following is typically done: mechanical drafting problems, math puzzles, math games, exercises with surveying equipment and other math challenges. Students may work individually or in groups.

**Quiz**: A very short quiz provides a quick assessment of the student’s grasp of the new material.

**Homework**: Homework on the new material is assigned. Students are given a few minutes to begin the assignment.

__Grading:__

20% for classroom participation, 20% for homework completion, and 60% for quizzes.

__Required Materials:__

Calculator: Texas Instruments Model TI-30XS

Text: McDougal Littell’s Geometry, by Jurgensen, Brown and Jurgensen. ISBN 978-0-395-97727-9