Syllabus

Geometry I Honors- Syllabus

M.A.S.T. High School @ Homestead

Instructor: Mr.lee

Room: 230

Email: wlee11@dadeschools.net

 

Course Website: http://Mrwlee.educatorpages.com

 

The Following topics will be covered in this course throughout the four nine weeks. The schedule is tentative and flexible, and in the event of unforeseen circumstances the instructor will try to adhere to the syllabus as much as possible and make any necessary adjustments.

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