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K12-MATHS-GEOMETRY

Geometry 1.0 credit

This course introduces the student to the deductive

method of proof with the use of points, lines, and planes.

Solid geometry is integrated with plane geometry to lead

the student to consideration of two-and three-dimensional figures and to develop the ability to visualize space relationships. Students who successfully complete this course with a grade of “C” or higher should be prepared for Algebra II.

This Course Covers The Following Geometry Concepts:

Congruence

Experiment with transformations in the plane

Understand congruence in terms of rigid motions

Prove geometric theorems

Make geometric constructions

Similarity, Right Triangles & Trigonometry

Understand similarity in terms of similarity

transformations Prove theorems involving similarity

Define trigonometric ratios and solve problems

involving right triangles

Apply trigonometry to general triangles Circles

Understand and apply theorems about circles

Find arc lengths and areas of sectors of circles

Expressing Geometric Properties with Equations

Translate between the geometric description and the equation for a conic section

Use coordinates to prove simple geometric theorems algebraically

Geometric Measurement & Dimension

Explain volume formulas and use them to solve problems

Visualize relationships between two-dimensional and three-dimensional objects

Modeling with Geometry

Apply geometric concepts in modeling situations

Geometry is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It includes the study of transformations and right triangle trigonometry. Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed. It also emphasizes writing proofs to solve (prove) properties of geometric figures. Students who complete Geometry should take Algebra II next.

Course Objectives

When you have completed this course, you will be able to:

Name various types of special lines and angles as well as various properties of lines and angles.

Name various types of geometric figures as well as various properties of these figures.

Identify and apply the properties of rays and angles.

Identify and apply the properties of parallel and perpendicular lines.

Write conditional statements.

Write and graph linear functions.

Identify and apply the properties of triangles.

Identify and apply the properties of quadrilaterals.

Identify and apply the properties of polygons.

Identify and apply the properties of circles

Prove figures are congruent.

Prove figures are similar.

Apply transformations to various figures.

Determine perimeter, area, surface area, and volume of geometric figures.

Use several types of statements to construct proofs.

Course Outline

Module 1 Tools of Geometry

Module 2 Transformations and Congruence

Module 3 Congruent Figures

Module 4 Lines and Angles

Module 5 Triangle Congruence Criteria

Module 6 Applications of Triangle Congruence

Module 7 Properties of Triangles

Module 8 Special Segments in Triangles

Module 9 Properties of Quadrilaterals

Module 10 Coordinate Proof using Slope andDistance