Geometry Syllabus

Geometry

Syllabus 2019-2020

Course Description:

Topics covered include the language of geometry (points, lines, planes and angles), reasoning and proofs (paragraph, two column, flow, indirect, and coordinate), parallel and perpendicular lines, congruent triangles, applications of congruent triangles, quadrilaterals, similarity, right triangles and trigonometry, circles, polygons and area, surface area and volume, coordinate geometry, and transformations.

Course Objective:

Students will acquire and demonstrate knowledge of concepts, definitions, properties, and applications of the topics listed above as well as develop the computational skills and strategies needed to solve problems. Students will develop critical thinking and decision making skills by connecting concepts to practical applications.

60% Major Assignments: Tests, Reports, Projects

40% Minor Assignments: Classwork, Homework, Quizzes, Binders

**see district grading policy for specifications**

Required Materials:                                                Expectations:

• Loose leaf paper/Folder or Binder                 *Be on time and prepared
• Pencil &colored pencils                                   *Be respectful
• Compass & protractor                                     *No horse playing
• Composition book (graph paper)                    *Bring your workbook and supplies
• Batteries/Hand sanitizer/ Tissues                    *Follow School Rules

Tutoring:  Monday and Wednesday 4:00-4:30 or by appointment

Course Schedule:

This is tentative and subject to change.

1-1 Patterns and Inductive Reasoning

1-2 Drawing nets and other models

1-3 Points, Lines and Planes

1-4 Segments, Rays, Parallel lines and Planes

1-5 Measuring Segments

1-6 Measuring Angles

1-7 Basic Construction

1-8 Coordinate Plane

1-9 Perimeter, Circumference, and Area

2-1 Conditional Statements

2-2 Bi-conditional and Definitions

2-3 Deductive Reasoning

2-4 Reasoning in Algebra

2-5 Proving Angles Congruent

3-1 Properties of Parallel Lines

3-2 Proving Lines Parallel

3-3 Parallel and Perpendicular Lines

3-4 Parallel Lines and the Triangle Angle Sum Th.

3-5 The Polygon Angle Sum Th.

3-6 Lines in the Coordinate Plane

3-7 Slope of Parallel and Perpendicular Lines

3-8 Constructing Parallel and Perpendicular lines

4-1 Congruent Figures

4-2 Triangle Congruency by SSS and SAS

4-3 Triangle Congruency by ASA and AAS

4-4 Using Congruent Triangles CPCTC

4-5 Isosceles and Equilateral Triangles

4-6 Congruency in Right Triangles

4-7 Using CPCTC

5-1 Mid-segment of Triangles

5-2 Bisector of Triangles

5-3 Concurrent Lines, Medians and Altitudes

5-4 Inverse, Contrapositive and Indirect Reasoning

5-5 Inequalities in Triangles

6-2 Properties of Parallelograms

6-3 Proving that a Quad. is a Parallelogram

6-4 Special Parallelograms

6-5 Trapezoids and Kites

6-6 Placing Figures in the Coordinate Plane

6-7 Proof Using Coordinate Geometry

7-1 Ratios and Proportions

7-2 Similar Polygons

7-3 Proving Triangles Similar

7-4 similarity in Right Triangles

7-5 Proportions in Triangles

8-1 The Pythagorean Th. And its converse

8-2 Special Right Triangles

8-3 The Tangent Ratio

8-4 Sine and Cosine Ratios

8-5 Angles of Elevation and Depression

8-6 Vectors

9-1 Translations

9-2 Reflections

9-3 Rotations

9-4 Symmetry

9-5 Dilations

9-7 Tessellations

10-1 Areas of Parallelograms and Triangles

10-2 Areas of Trapezoids, Rhombuses and Kites

10-3 Areas of Regular Polygons

10-4 Perimeters and Areas of Similar Figures

10-6 Circles and Arcs

10-7 Areas of Circles and Sectors

10-8 Geometric Probability

11-1Space Figures and Cross Sections

11-2 Surface Area of Prisms and Cylinders

11-4 Volume of prisms and Cylinders

11-3 Surface Area of Pyramids and Cones

11-5 Volume of Pyramids and Cones

11-6 Surface Area and volume of Spheres

11-7 Area and Volume of Similar Solids

12-1 Tangent Lines

12-2 Chords and Arcs

12-3 Inscribed Angles

12-4 Angle Measures and Segment Lengths

12-5 Circles in the Coordinate Plane

12-6 Locus

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