Geometry
Course Description
Geometry provides students with tools to solve problems about objects and shapes in two- and three-dimensions, including theorems about universal truths and spatial reasoning. In this course, students are expected to apply mathematics in meaningful ways to solve problems that arise in the workplace, society, and everyday life through the process of modeling. Mathematical modeling involves creating appropriate equations, graphs, diagrams, or other mathematical representations to analyze real-world situations and solve problems. In order to represent and solve problems, students should learn to use a variety of mathematical tools and technologies such as a compass, a straightedge, graph paper, patty paper, graphing utilities, and dynamic geometry software.
Course Goals and Outcomes
Demonstrate an understanding of algebraic and geometric concepts related to the real-world using a variety of problem-solving techniques
Read, understand, and communicate mathematically
Apply technology to solve geometric problems and complete projects
Make learning mathematics enjoyable and rewarding
Course Scope and Sequence Outline
Unit
Topics/Description
Total Days
Unit 1: Foundations of Geometry
Points, Lines, Planes, Segments, Rays, Midpoint and Distance Formula
8 days
Unit 2: Special Angles
Angle types, bisectors, and measuring
5 days
Unit 3: Constructions
Circles and other shapes, Segments, Angles, and Perpendicular Lines
5 days
Unit 4: Logic & Proofs
Conjectures, Deductive and Inductive Reasoning, Conditional Statements, and Algebraic Proofs
8 days
Unit 5: Parallel Lines and their Angles
Parallel lines, skew lines, Perpendicular lines, slopes, and angle types
6 days
Unit 6: Triangles
Classification, Congruence, SSS, SAS, ASA, AAS, HL, dilations, similarity, and proportions in triangles
14 days
Unit 7: Right Triangle Trigonometry
Pythagorean Theorem, Special Right Triangles, and Trigonometric Ratios 9 days
Unit 8: Polygons and Quadrilaterals
Polygons classification and angle-sum theorems, kites, trapezoids, and parallelograms 8 days
Unit 9: Two- and Three- Dimensional Models
Perimeter, Area, Surface Area, and Volume 8 days
Unit 10: Transformations
Symmetry, Translations, Reflections, and Rotations 6 days
Unit 11: Circles
Arcs and Sectors, Chords, Central and Inscribed Angles 4 days
*Please understand that this time frame is tentative, depending on the rate at which the students learn the material. Material may be added, deleted, and/or substituted at the teacher’s discretion based on the individual needs, levels, and learning styles of each class.
Classroom Expectations
Our class is here to foster a sense of community among its participants. Please be respectful of others’ opinions, thoughts, and ideas. All rules of Woodmont High School will be followed.
Be Punctual. (be on time please)
Be Prepared. (remember to bring all of your stuff)
Be Polite. (kind to all)
Be Positive. (look for the good)
Be Respectful. (pause and think before speaking)
Grading Policy
Major Assessments
Tests and Major Projects
60%
Minor Assessments
Quizzes and Minor Projects
40%
The final exam is 10% of your class grade; each quarter will count for 45% of your grade. The final exam will be cumulative.
Late Work / Make-Up Work Policy
Late work is defined as work not completed/turned in on time even though the student attended the class. Missing or late work for Major and Minor assessments will be accepted up to 5 class periods after the assigned due date. There will be a 10-point deduction for each class period the work is late.