Teacher: Ms. Teresa Ortiz
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**
Tutoring: Tuesday and Thursday 730-8:00 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
________________________________________
6-1 Classifying Quadrilaterals
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