Download GEOMETRY DESCRIPTION This course provides an understanding

Geo
GEOMETRY
DESCRIPTION
This course provides an understanding of the practical uses of geometry and the
application of deductive reasoning in proofs. Skills are developed in the traditional
topics of Euclidean geometry. Problem-solving aspects of this course call upon the
skills developed in Algebra 1.
OUTLINE
1.
Geometric thinking
a.
undefined terms
b.
definitions
c.
axioms, postulates and theorems
d.
deductive reasoning
e.
conditionals and converses
2.
Linear and planar relationships
a.
definition- segment, ray parallel perpendicular, skew
b.
angles
i.
measurement and classification
ii.
angle pairs
c.
compass and straightedge constructions
i.
copy and bisect segments and angles
ii.
perpendiculars and perpendicular bisectors
iii.
constructing parallels
iv.
using ratios
v.
constructing the geometric mean
vi.
constructing tangents
3.
Parallel lines and planes
a.
Parallel Postulate
b.
proving lines parallel- theorems and converses
4.
Polygons
a.
classification
b.
angle sums
c.
properties
d.
congruence proofs
e.
related segments
f.
triangle inequalities
5.
Ratio and proportion
a.
similarity and proofs for triangles
Geo
b.
trigonometric ratios and applications
6.
Right triangle geometry
a.
theorems using the geometric mean
b.
Pythagorean theorem
c.
special right triangles
7.
Circles
a.
definitions of related lines and segments
b.
measures of related angles and segments
c.
circumference
8.
Locus
a.
definition and applications
b.
intersection of loci
9.
Area and perimeter
a.
basic formulas
b.
ratio of areas
c.
surface area of 3-dimensional figures
10.
Volume
a.
basic formulas
b.
ratio of volumes
11.
Geometric transformations
a.
distance preserving transformations- reflection, translation
b.
symmetry relationships
COURSE OBJECTIVES
The student will demonstrate acquisition and mastery of the skills and concepts of the
course as measured by achievement on quizzes, tests, class work, assignments,
participation in class discussion and completion of homework.
METHODS OF INSTRUCTION
1.
2.
3.
4.
5.
6.
7.
8.
Reading of text and resource material.
Lectures.
Teacher directed small and large group instruction.
Homework assignments.
Cooperative learning groups.
Student projects.
Use of overhead projector and other audio-visual materials as appropriate.
Appropriate use of calculators
Geo
METHODS OF EVALUATION
1.
2.
3.
4.
5.
Attendance in accordance with school policy.
Assessment of homework and class assignments.
Assessment of group labs and /or projects.
Results of tests and quizzes.
Results of departmental examinations.
INSTRUCTIONAL MATERIALS
1.
2.
Textbook: Geometry, by Larson, Boswell, Kanold, Stiff; McDougal Littell 2001
Supplementary materials.
Rev 2002