Geometry
Syllabus
C. Reyna
(956) 580-5300 ext 1219
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.
Grading:
60% Major Assignments: Tests, Reports, Projects
40% Minor Assignments: Classwork, Homework, Quizzes, Binders
**see district grading policy for specifications**
Required Materials:
- Loose leaf paper/Folder or Binder
- Pencil &colored pencils
- Composition book (graph paper)
- Tissues
Expectations:
* Be on time and prepared
* Be Respectful
* Bring your Device and Supplies
* Follow School Rules
Tutoring: Monday and Wednesday 4:15-4:45
My conference time is 2nd Block 9:40 AM to 11:12 AM.
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
Unit 6: Probability
Topic 15: Probability
15-1: Experimental and Theoretical Probability
15-2: Geometric Probability
15-3: Permutations and Combinations
15-4: Compound Probability
15-5: Conditional Probability With Frequency Tables
15-6: Conditional Probability Formulas