Geometry Syllabus 2020-2021

Teacher: J. Vela

Phone: (956) 271-1600 ext. 4169


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:

• 1 subject notebook/composition *Be on time

• Post it 3 inch by 3 inch   *Be Respectful

• protractor     *No Horseplay

• 1 box of tissues   *Bring Supplies

• Hand sanitizer *Follow School Rules       

• Glue bottle

• 500 index cards

• 2 boxes of Markers

• 2 Book rings (Dollar tree or office depot)

Materials for projects I will let you know when to bring them.

• 2 white poster boards (Dollar tree)

• White foam board (Dollar tree or Walmart)

• 1 Yarn

• Canvas needle (Walmart or Michaels)

Tutoring: TBA

Conference: 5th Block 2:30 – 4:00



Course Schedule: This is tentative and subject to change.

Unit 1: Logical Argument and Constructions; Proofs and Congruence

Topic 1: Tools of Geometry

1-1: Points, Lines, and Planes

1-2: Measuring Segments

1-3: Measuring Angles

1-4: Exploring Angle Pairs

1-5: Basic Constructions

Topic 2: Reasoning and Proof

2-1: Patterns and Conjectures

2-2: Conditional Statements

2-3: Biconditional and Definitions

2-4: Deductive Reasoning

2-5: Reasoning in Algebra and Geometry

2-6: Proving Angles Congruent

Topic 3: Parallel and Perpendicular Lines

3-1: Lines and Angles

3-2: Properties of Parallel Lines

3-3: Proving Lines Parallel

3-4: Parallel and Perpendicular Lines

3-5: Parallel Lines and Triangles

3-6: Constructing Parallel and Perpendicular Lines

3-7: Equations of Lines in the Coordinate Plane

3-8: Slopes of Parallel and Perpendicular Lines

3-9: Comparing Spherical and Euclidean Geometry

Topic 4: Congruent Triangles

4-1: Congruent Figures

4-2: Triangle Congruence by SSS and SAS

4-3: Triangle Congruence by ASA and AAS

4-4: Using Corresponding Parts of Congruent Triangles

4-5: Isosceles and Equilateral Triangles

4-6: Congruence in Right Triangles

4-7: Congruence in Overlapping Triangles

Topic 5: Relationships within Triangles

5-1: Midpoint and Distance in the Coordinate Plane

5-2: Midsegments of Triangles

5-3: Perpendicular and Angle Bisector

5-4: Bisectors in Triangles

5-5: Medians and Altitudes

5-6: Indirect Proof

5-7: Inequalities in One Triangle

5-8: Inequalities in Two Triangles

Topic 6: Polygons and Quadrilaterals

6-1: The Polygon Angle-Sum Theorems

6-2: Properties of Parallelograms

6-3: Proving That a Quadrilateral Is a Parallelogram

6-4: Properties of Rhombuses, Rectangles, and Squares

6-5: Conditions for Rhombuses, Rectangles, and Squares

6-6: Trapezoids and Kites

Unit 2: Coordinate and Transformational Geometry

Topic 7: Coordinate Geometry

7-1: Polygons in the Coordinate Plane

7-2: Applying Coordinate Geometry

7-3: Proofs Using Coordinate Geometry

Topic 8: Transformational Geometry

8-1: Translations

8-2: Reflections

8-3: Rotations

8-4: Symmetry

8-5: Compositions of Rigid Transformations

8-6: Congruence Transformations

8-7: Dilations

8-8: Other Non-Rigid Transformations


Unit 3: Similarity, Proof, and Trigonometry

Topic 9: Similarity

9-1: Similar Polygons

9-2: Similarity Transformations

9-3: Proving Triangles Similar

9-4: Similarity in Right Triangles

9-5: Proportions in Triangles

Topic 10: Right Triangles and Trigonometry

10-1: The Pythagorean Theorem and Its Converse

10-2: Special Right Triangles

10-3: Trigonometry

10-4: Angles of Elevation and Depression


Unit 4: Circles

Topic 11: Circle Measurement

11-1: Circles and Arcs

11-2: Radian Measure

11-3: Areas of Circles and Sectors

11-4: Circles in the Coordinate Plane

Topic 12: Theorems about Circles

12-1: Tangent Lines

12-2: Chords and Arcs

12-3: Inscribed Angles

12-4: Angle Measures and Segment Lengths


Unit 5: Two-Dimensional and Three-Dimensional Figures

Topic 13: Area

13-1: Areas of Parallelograms and Triangles

13-2: Areas of Trapezoids, Rhombuses, and Kites

13-3: Areas of Regular Polygons

13-4: Perimeters and Areas of Similar Figures

13-5: Trigonometry and Area

Topic 14: Surface Area and Volume

14-1: Three-Dimensional Figure and Cross Sections

14-2: Surface Areas of Prisms and Cylinders

14-3: Surface Areas of Pyramid and Cones

14-4: Volumes Prisms and Cylinders

14-5: Volumes of Pyramids and Cones

14-6: Surface Areas and Volumes of Spheres

14-7: Surface Areas and Volumes of Related Solids