Geometry Honors
The syllabus contains basic classroom information as well as proposed units of study for the year. Please note that the units of study are subject to change based on the learning needs of the students. An overview of the course is detailed below.
Course Overview
Course Description: Geometry Honors is a one-semester course of instruction based on the South Carolina College-and Career-Ready (SCCCR) standards for Geometry. According to the state’s standards document, “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.” It is designed to build upon prior mathematical understanding and give learners a solid foundation for success in all future math courses. At the honors level, learning experiences with greater complexity are provided with the expectation that students will consistently demonstrate advanced thinking and accelerated performance on all tasks.
Units of Study
Unit 1: Foundations of Geometry
Unit Essential Question: What are some of the fundamentals of Geometry?
Concepts include: Measurement, Basic Constructions, Midpoint and Distance, Inductive and Deductive Reasoning, Writing Proofs
Unit 2: Parallel and Perpendicular lines
Unit Essential Question: What properties are specific to parallel lines and perpendicular lines?
Concepts include: Parallel Lines, Proving Parallel Lines, Parallel Lines, and Triangle Angle Sums, Slopes of Parallel and Perpendicular Lines
Unit 3: Transformations
Unit Essential Question: What are the properties of the four types of rigid motion?
Concepts Include: Reflections, Translations, Rotations, Symmetry
Unit 4: Congruence
Unit Essential Question: What relationships between sides and angles of triangles can be used to prove triangles congruent?
Concepts include: Congruence, Isosceles, and Equilateral Triangles, Proving and Applying Congruence Criteria (SAS, SSS, ASA, AAS)
Unit 5: :relationships in triangles
Unit Essential Question: How are the sides, segments, and angles of triangles related?
Concepts include: Perpendicular and Angle Bisectors, Bisectors in Triangles, Medians and Altitudes, Inequalities in Triangles
Unit 6: Quadrilaterals and Other Polygons
Unit Essential Question: How are properties of parallelograms used to solve problems and classify quadrilaterals?
Concepts include: The Polygon Angle-Sum Theorems, Properties of Parallelograms and Special Parallelograms
Unit 6: Similarity
Unit Essential Question: How are properties of similar figures used to solve problems?
Concepts include: Dilations, Similarity Transformations, Proving Triangles Similar, Similarity in Right Triangles, Proportions
Unit 7: Right Triangles and Trigonometry
Unit Essential Question: How are the Pythagorean Theorem and trigonometry useful?
Concepts include: Right Triangles and the Pythagorean Theorem, Trigonometric Ratios, The Law of Sines, The Law of Cosines
Unit 8: Coordinate Geometry
Unit Essential Question: How can geometric relationships be proven by applying algebraic properties to geometric figures represented in the coordinate plane?
Concepts include: Proofs using Coordinate Geometry, Circles in the Coordinate Plane, Parabolas in the Coordinate Plane
Unit 9: Circles
Unit Essential Question: When a line or lines intersect a circle how are the figures formed related to the radius, circumference, and area of the circle?
Concepts include: Arcs and Sectors, Lines Tangent to a Circle, Chords, Inscribed Angles, Secant Lines and Segments
Unit 10: Two- and three-dimensional models
Unit Essential Question: How is Cavalieri’s Principle helpful in understanding the volume formulas for solids?
Concepts include: Three-Dimensional Figures and Cross-Sections, Volumes of Prisms and Cylinders, Pyramids and Cones, Spheres
Unit 11: Describing Data
Unit Essential Question: How can the properties of data be communicated to illuminate its important features?
Concepts include: Data Displays, Statistics and Data Distribution, Shape, Center, and Spread of Data
Supply List:
Notebook: A binder or notebook with lined paper and graph paper.
Pencils and erasers: Work needs to be done in pencil.
Ti-84 Graphing Calculator – This is optional. The school provides calculators for in-class use.
Headphones or Earbuds – Students will use these only while completing individual assignments on a computer where sound is required for instruction.
It is my goal to have all my students be successful in Math class. Assignments and expectations will always be clearly posted, and I am always here to help! All students need to make math a priority and put in the effort- you will use it for the rest of your life!