Course Title:  Geometry.  Geometry.  Prentice Hall.

Level: 

Prerequisite:  Algebra I

Credit:  1 year; 1 unit

Description:      Geometry is a course in plane, spatial, and coordinate Geometry.

Emphasis is placed on correct language usage and on the logical thinking skills necessary for problem solving.  Concepts and patterns from logic will be presented.  The student will practice the writing of formal geometric proofs.  Geometry should encourage the student to apply inductive and deductive thinking when faced with difficult problems.

PROGRAM OBJECTIVES:

I.                    At the end of first semester each student should be able to:

1.      Make and test conjectures about mathematical and real-world patterns.

2.      Draw and measure two- and three-dimensional figures.

3.      Understand congruency and similarity.

4.      Apply their Algebra skills to parallel and perpendicular lines in the coordinate plane.

5.      Understand the properties of the basic figures of Geometry – Triangles, quadrilaterals, and other polygons, as well as circles.

6.      Understand the properties of reflection, translation, rotation, glide reflections, and dilations.

7.      Recognize and solve problems related to properties of triangles, areas of polygons and circles, and special right triangles.

8.      Develop and use formulas for surface area and volume of prisms, cylinders, pyramids, cones, and spheres.

II.                 At the end of the second semester each student should be able to:

1.      Write deductive arguments to justify conclusions in two-column format (proofs).

2.      Apply properties of parallel lines to real-world situations.

3.      Construct parallel and perpendicular lines as well as other figures given certain specifications.

4.      Recognize and prove triangles congruent.

5.      Use the properties of parallelograms, trapezoids, and kites to solve problems and complete proofs.

6.      Write coordinate proofs.

7.      Prove triangles are similar.

8.      Solve problems involving similar figures, scale drawings and the connections between areas and volumes of similar figures.

9.      Apply right triangle trigonometric ratios to a variety of real-world problems.

10.  Write the equation of a circle in a coordinate plane.

11.  Solve problems involving circles, tangents, chords, secants, arcs and angles.