Essentials of Geometry
Instructor Name Phone Extension Email Address
Textbook:
Geometry: Concepts and Skills McDougal Littell, 2003 * Book must be brought to class every day *
General Course Description: Essentials of Geometry is a college preparatory class that focuses on spatial mathematics and gives students the tools to analyze figures in one, two, and three dimensions. Students will learn properties of different geometric figures, as well as concepts of comparison including measurement, congruence, and similarity. Basic problem solving and reallife modeling will be included to help students understand the relationship between the course curriculum and the world in which they live. Materials: Students must be prepared with their textbook, a notebook, a pencil, and a calculator at each class. Extra Help: Available by arrangement with the teacher. Assessment: Each unit may consist of the following items, based on the discretion of the teacher. • Tests • Quizzes • Projects • Writing Activities • Open-Ended Tasks • Homework It is your job to have your assignments in on time. Late assignments will only be accepted in the case of absence. Any missed test or quiz is your responsibility to make up. Be aware of due dates and tests. Grading: Grades are determined on a point basis, according to the policy of the teacher. Each student’s points will be added and then divided by the points available. Grades will be given numerically.
Course Schedule:
Time Frame Unit Language of Geometry Terminology Notation Reasoning Models Properties of Geometric Shapes Classification of Polygons Properties of Polygons Circles Description Students will learn the basics of geometry, including simple terminology and notation, classification of angles and lines, and introductory inductive reasoning. This section prepares students for more complex analysis and problem solving in the course. Students will use the basic components to create and explore polygons and circles. Properties of each polygon will be discerned, and general rules will be formulated. Students will apply the properties of the geometric shapes that they have learned to compare geometric shapes and their component parts. This comparison will yield an understanding of congruence, which will then be applied to solve problems. Students will also use these properties to write elementary deductive proofs. Students will examine geometric shapes to look at ratios between their component parts. This comparison will yield an understanding of similarity, which will be used to solve more complex problems. Students will also use this comparison to continue writing proofs.
40-42 days
50-52 days
20-22 days
Congruence Proof Comparison Corresponding Parts
15-17 days
Similarity Comparison Proportion Ratio
13-15 days
Transformations Image/Pre-Image Reflection Rotation Dilation
25-27 days
Measurement Significant Digits Perimeter Area Volume
5-7 days
Introductory Triangle Trigonometry and Algebra Review Trigonometry Functions Solving Equations Algebraic Manipulation
Students will draw two- and threedimensional figures and examine the effects of different types of transformations. Students will incorporate their knowledge of symmetry and graphing to form general rules for each transformation, and understand the effect of the translation in real-life situations. Students will explore a variety of techniques of measurement, for both two- and threedimensional figures. Students will examine component parts of both solid and plane figures to determine their effect on different types of measurement. Students will also create nets to examine specific characteristics of solid figures. Students will be introduced to triangle trigonometry, and learn how to define and use the basic functions. Students will also review the solving of algebraic equations in one and two variables, and reexamine the rules of algebraic manipulation. This section recalls much of the material learned throughout the course, and allows the student to examine more complex geometric and algebraic problems.