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Rapid Geometry Syllabus



Prerequisite: At least a B average in Algebra 1 plus teacher recommendation

Textbooks:

Discovery Geometry by Sierra
Basic Geometry by Jurgenson and Brown
Gometry by Holts, Rinehart and Winston
Students Practice handbook (Homework workbook) by Holts, Rinehart and Winston

Course Description:

This course is designed for those students who are independent learners with an above average aptitude for mathematics. This course employs the axiomatic development of geometry. Deductive proofs are emphasized. Topics covered include symbolic logic, indirect reasoning, probability, congruency, parallelism, triangles, quadrilaterals and other polygons and circles. Solid shapes such as spheres, cylinders, pyramids, prisms and cones are explored as well. The course continues with coordinate geometry, constructions, triangle trigonometry, area and volume. Students will get a chance to discover ideas using technology. Although a graphing calculator is not required, one would be helpful. A TI-83 is recommended. Rapid Geometry has an increased emphasis on formal proofs and creative applications to challenge the advanced student.

Course Goals:

Identify parts of an axiomatic system described by undefined terms, postulates, and theorems.

Establish the validity of geometric conjectures using deductive reasoning, prove theorems and construct valid arguments.

Identify, classify and analyze properties of two and three-dimensional shapes.

Identify relationships among lines and angles formed.

Calculate and determine reasonableness of measures including slope, distance, circumference, perimeter, surface, area, volume and angles.

Identify, create and solve practical problems involving right triangles and the Pythagorean theorem.

Apply basic trigonometric concepts such as sine, cosine, and tangent.

Construct geometric shapes by hand and using technology.

MAJOR UNITS APPROXIMATE TIME

I. Points, Lines and Planes 13%
II. Conditional Sentences 2%
III. Reasoning and Proof 6%
IV. Parallels and Transversals 9%
V. Triangles 14%
VI. Triangle Inequalities 7%
VII. Polygons 9%
VIII. Similarity 8%
IX. Right Triangles 13%
X. Circles 9%
XI. Area 5%
XII. Surface Area and Volume 5%


Grading

Tests, quizzes, projects, class work, and homework is integrated. School district policy on weighting will apply. Tests will be announced. Quizzes may be announced or unannounced.

Make-Up work

All work missed should be made up within three days after return to school. This is the responsibility of the student. Missed test and quizzes will be made up by appointment, after school hours (3pm-4pm)

Rules and Regulations
Students are required to abide by the rules and expectations outlined in the student handbook as well as the classroom rules posted in the classroom.

Supplies
A graphing calculator,notebook, three folders, a geometry set, and a graph book