Highlands High School s1

Highlands Middle School 8th Grade Advanced – Geometry 2011-2012 Course Syllabus

Instructors Judy Manning (815-2524) E-mail: [email protected]

Grade 8th

Prerequisites Successful completion of Algebra I and has met all placement criteria and teacher recommendation.

Description This course is a requirement for high school graduation and gives the necessary foundation for future mathematics courses. This course enhances the traditional approach to geometry by integrating coordinates and transformations. Formulas and their real life applications are carefully developed. Logical reasoning and deductive reasoning are employed to carefully develop the concept of proof. Extensive problem solving, mathematical communication, reasoning, and mathematical connections are woven throughout the course. Connections to Algebra are frequently made in order to maintain skills necessary to Algebra II and to build upon the natural relationship between the two branches of mathematics. Emphasis will be given to real-world applications and modeling, constructions to develop intuitive understanding, and the use of computer and graphing utilities to explore and strengthen understanding, Comment The main goal of the class is to provide a strong background in 2-dimensional and 3-dimensional geometry as well as deductive reasoning while maintaining algebra skills. The development of critical thinking skills and the ability to see relationships between strands are perhaps the most important aspects of the course. The ability to think critically, apply knowledge in order to solve problems, and see relationships can open many doors for students not just in mathematics, but also in all areas of life.

Course Standards Students will be introduced to . Shapes: characteristics, structure, and relationships of two and three dimensional figures. . Spatial Relationships: specifying and describing a variety of spatial relationships. such as those involving angles, lines, triangles, and quadrilaterals. . Systems: the use of coordinate geometry and other representational systems. . Transformations: investigations and application of transformations such as reflections, rotations, and translations. . Visualization: use of spatial reasoning and geometric modeling to solve problems. . Tools and Constructions: use of traditional geometric tools as well as dynamic geometric software for measurement and constructions. . Proofs and Problem Solving: investigation and evaluation of geometric conjectures, problem solving techniques, and proofs. . Formulas and procedures: formulas and procedures finding perimeter, area, and volume as well as other applications, will be developed. . Congruence and Similarity: use of congruence properties and proportional reasoning as it relates to similarity. . Trigonometry: exploration of the Trig relationships in right triangles . Real Life Application: continual real world application and connections of concepts studied. Textbook University of Chicago School Mathematics Project: Geometry The Wright Group/McGraw Hill ISBN# 0-07-611023-0 Required Materials . 3 ring binder (1½ to 2 inch) . Spiral Notebooks – college rule – 1 per semester . Graph paper . Loose-leaf paper . Grading Pen . Pencils . TI – 84 graphing calculator (or TI-Nspire with the snap in 84 keyboard) . Protractor . Compass . Ruler with 6" metric and English units . Angle ruler from the bookstore Grading Scale: A (90 – 100), B (80 – 89), C (70 – 79), D (60 – 69), F (0 – 59) Students will be evaluated on class assignments and activities which may include the following:  Daily homework  Quizzes  Tests  Binders  Open Response Questions . Projects (when applicable) Participation & Attendance Students must be in attendance daily, ready and prepared for class. The material presented is the basic component of all future math courses. To achieve the credit unit for high school, students must be able to complete this course with a C average and pass the final exam. If the student is unable to attend class he/she should check my teacher webpage, e-mail my school account, and/or see me before or after school (not before 7:55AM) for further information and direction. It is also a good idea to have a class partner that can get any handouts and/or notes. Course Content/Calendar Topic presentation and the time frame of presentation are subject to change.

FIRST SEMESTER Ch. 1: Points and Lines 2 weeks Ch. 2: The Language and Logic of Geometry 2 weeks Ch. 3: Angles and Lines 3 weeks Ch. 4: Congruence Transformations 2 ½ weeks Ch. 5: Proofs Using Congruence 2 weeks Ch. 6: Polygons and Symmetry 3 weeks SECOND SEMESTER Ch. 7: Applications of Congruent Triangles 3 weeks Ch. 8: Lengths and Areas 2-3 weeks Ch. 9: Three Dimensional Figures 2 weeks Ch 10: Formulas For Volume 3 weeks Ch. 11: Indirect Proofs and Coordinate Proofs 2 weeks Ch. 12: Similarity 3 weeks Ch. 13: Similar Triangles and Trigonometry 2 weeks