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Syllabus~ Geometry

Geometry Honors

 

 

M.A.S.T.  @ Homestead

Geometry Honors

 

 

Instructor:     Dr. L. Carter

 

Course:          Geometry Honors

 

Geometry provides students with experiences that deepen the understanding of two and three-dimensional objects and their properties. Deductive and inductive reasoning as well as investigative strategies in drawing conclusions are stressed. Topics of study include: points, lines, angles and planes; polygons, with a special focus on quadrilaterals, triangles, right triangles; circles; and polyhedra and other solids. An understanding of proof and logic is developed. The use of graphing calculators and computer drawing programs is encouraged. This class will cover all aspects of regular geometry, but will place more emphasis on the principles of logic, the formalizing of proofs, and on the theory of geometry. Problem simulations are explored in multiple representations ~ algebraically, analytically, graphically, and numerically. Mathematical skills are applied to real world problems to make meaningful connections to life experiences. Consistent with a constructivist approach, each student must take an active responsibility for his or her own learning. The book’s focus on critical problem-solving skills will help cultivate a classroom of self-motivated, independent thinkers.

 

Dear Parent & Student,

 

It is my pleasure to instruct your child at M.A.S.T. @ Homestead. As your child’s math teacher, I want to emphasize the importance of your participation in his/her academic activities. To ensure their success, I have outlined certain behavioral and academic rules that must be followed.

 

The behavioral requirements are as follows:

 

  1. Be seated.
  2. Raise your hand and wait to be called upon.
  3. No profanity in the classroom.

 

The academic requirements are as follows:

 

  1. Notebook:

 

A notebook is required. There should be 5 separate sections for the syllabus, classwork/notes, vocabulary, handouts and homework assignments. Every sheet should be headed with your name, date, period, and page number (when applicable). Students will keep an Assignment Log. Every 10 assignments, the Homework Package (Assignment Log and 10 assignments) will be graded.

 

  1. Homework:                                         

 

Homework is a major part of the overall grade. It is assigned daily and checked the following day in class. It may be checked for a grade or for completion (effort grade). In order to receive full credit for a homework assignment, the student must:

 

  1. Copy the problems completely as they appear in the text.
  2. Show all work next to or beneath the problem.
  3. Complete the entire assignment.
  4. Have the homework on the top of your desk, ready to be checked on the due date.
  5. Provide neat, organized work written in pencil only.

 

 

  1. Classwork:

 

Classwork is assigned after each daily lesson. Sometimes classwork will be finished in class and checked if time allows. Otherwise, it should be finished at home and will be graded as homework the following day.

 

If you are present (in class) when assignments are given or explained and you make the decision not to do the assignments, there is no make up. There will be no alternate assignment(s) given for this loss.

 

  1. Quizzes:

 

Quizzes are given weekly and are not always announced in advance.

 

  1. Unit Tests:

 

Tests are given at the end of each unit (chapter) and are always announced well in advance.

 

  1. Absenteeism:

 

It is the student’s responsibility to get all missed assignments when absent. The teacher will not pursue you. Daily homework assignments are posted on the web.

 

  1. Fieldtrips:

 

Students going on a fieldtrip or attending in-house activities are responsible for getting assignments prior to the activity. They are expected to have the work completed upon their return to class or, at the latest, within the week the assignment was given.

 

 

  1. Average:

 

Homework -  Homework Package (Assignment Log and 10                     assignments) worth 2 grades

Quizzes -       worth 2 grades

Test-               worth 3 grades

Projects-         worth 3 5 grades

Gizmos -         worth 1 grade

 

These grades are added and then divided by the number of grades in order to obtain a student’s nine-week grade.

 

Students will be graded according to the work they produce. If the student does not produce then he will receive a zero.  A zero will destroy the GPA.

 

 

 

 

 

Standard District Grading Scale

 

A         90% - 100%                Outstanding

B          80% - 89%                  Good

C         70% - 79%                  Satisfactory

D         60% - 69%                  Minimal

F          0%  -  59%                  Unsatisfactory

 

 

 

Because each lesson is built on the skills learned in the previous lesson, consistent class attendance is essential to your success.

 

Please take a few minutes to review these requirements prior to signing this form.

 

A sense of accomplishment is a good feeling to have! I look forward to ensuring that this occurs.

 

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YEAR-AT-A GLANCE

 

1ST Nine Weeks

2nd Nine Weeks

3rd Nine Weeks

4th Nine Weeks

  1. Introducing Geometry
  1.  Geometry in Art and Nature      
  2.  Building Proficiency with Geometric Tools
  3. Geometric Designs
  1. Building Blocks of Geometry

A.  Basic Terminology

B.  Defining Angle and Line Relationships

C.  Defining Polygons

D.  Defining Triangles

E.  Special Quadrilaterals Definitions

F.  Circle Definitions

G. Space Geometry Terminology

  1. Reasoning In Geometry

A.  Inductive Reasoning

B.  Deductive Reasoning

  1. Constructing Geometric Sense: Line and Angle Properties
  1. Angle Relationships
  2. Line Properties
  3. Points of Concurrency
  1. Triangle Properties

A.  Triangle Sum

B.  Properties of Isosceles Triangles

C. Triangle Inequality

D. Triangle Congruence

E.  Flowchart Thinking

F.  Applications in the Real-World

  1. Polygon Properties
  1. Polygon Sum Properties
  2. Trapezoid Properties
  3. Kite Properties
  4. Midsegment Properties
  5. Properties of Parallelograms
  6. Applications in the Real-World
  1. Circles
  1. Chord Properties
  2. Tangent Properties
  3. Arc and Angle Properties
  4. Circumference/Diameter/Ratio
  5. Arc Length
  6. Applications in the Real-World
  1. Coordinate Geometry

A.   The Cartesian Plane

B.   Algebra Topics

C.   Algebraic and Geometric Connections

D.  Transformations on the Coordinate Plane

  1. Area
  1. Area of Polygons
  2. Area of Circles
  3. Total Surface Area
  4. Applications in the Real-World
  1. Right Triangles
  1. Pythagorean Theorem and Its Converse
  2. Special Right Triangles
  3. Distance Formula
  4. Equation of a Circle
  5. Right Triangle Trigonometry
  1. Volume
  1. Polyhedrons
  2. Prisms and Cylinders
  3. Pyramids and Cones
  4. Real World Applications
  5. Displacement and Density
  6. Spheres

 

  1. Similarity
  1. Proportion and Reasoning
  2. Similar Polygons
  3. Proportional Relationships
  4. Proportions with Area and Volume
  5. Proportional Segments by Parallel Lines
  1. Deductive Reasoning
  1. Forms of Valid Reasoning
  2. Symbols of Logic
  3. Types of Proof
  4. Proof Formats
  5. Geometric Proof
  1. Transformations
  1. Transformations and Symmetry
  2. Transformations on a Coordinate Plane
  3. Tessellations with Regular Polygons

 

 

 

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