Academics at Champion

Covers state standards of Geometry.

GEOMETRY

(1 year - 10 credits - grades 9-12)

Prerequisites: successful completion of Algebra 1

PURPOSES

To develop a student’s problem-solving ability. To provide a background and preparation for Algebra 2 and Trigonometry.

COURSE OBJECTIVES

Students will be able to:

1.  Understand and identify the concepts of point, line and plane - the basis of the study of Euclidean Geometry.

2.  Identify the binary operations of union and intersection and the unary operation of a com~lement.

3.  Use Venn diagrams to illustrate the basic operations on sets.

4.  Identify the structure of a postulational system. (define geometric concepts such as postulate and theorem)

5.  Identify the incidence postulates, to develop some incidence theorems from the incidence postulates.

6.  Define and identify important ideas relating to triangles.

7.  Define, identify and classify polygons according to the number of sides.

8.  Understand the dihedral angle and identify its parts.

9.  Apply Euler’s formula to a simple polyhedron.

10.  Use linear measure and angle measure in the study of inscribed and circumscribed

polygons.

11.  Identify and use the Ruler, Protractor and Angle Addition Postulates.

12.  Use a compass for constructions.

13.  Find the area of different polygonal figures and surface area of the common three-dimensional figures.

14.  Find the volume of geometric solids.

15.  Use Cavalieri’s Principle to develop formulas for finding the volumes of certain geometric solids.

16.  Think logically through symbolic logic.

17.  Complete proofs using given definitions, postulates, and theorems.

18.  Use SAS, SSS, ASA, AAS, and H-L to test for triangle congruence.

19.  Identify a mathematical transformation (to define reflection)

20.  Define dilatation and similar figures.

21.  Use properties of tangents, chords, and secants to solve problems.

22.  Prove a theorem by using analytic geometry.

23.  Recognize the algebraic equations associated with conic sections.

24.  Graph on a Cartesian plane.

MAJOR ACTIVITIES:

1.  Written assignments from text

2.  Discussion of problems and applications

3.  Labs or practical experiments

4.  Student projects & presentations

MAJOR RESOURCE MATERIALS:

Selected Text

MEANS OF STUDENT EVALUATION:

1.  Daily assignments

2.  Quizzes & Tests

3.  Projects