Class Description

Real life applications will illustrate geometric concepts. Exploration problems will be designed to use drawing and measuring. Algebra concepts will be integrated with the geometry. Students will develop their reasoning skills using formal justifications (two-column proofs) and informal justifications (proof using paper folding). Practice exercises will include hands-on activity, visualization skills and plenty of practical problems.

Class Expectations

Daily Assignments:

1. Assignments will be given daily.
2. Assignments will be corrected the following day so they can receive immediate feed back on how they are doing.
3. Assignments are always passed in and scored by the teacher.
4. Credit for the daily work is given for the effort, amount of work shown, and number correct.
5. Most students average 20-30 minutes a day on the daily work.

Tests:

1. Tests are given after each chapter
2. Numerous quizzes will be given to determine student's understanding of material.
3. Grades will be determined by the accuracy of answers and the work shown.

Final Grade:

1. The nine weeks grade is determined by having daily work counting 25%, quizzes counting 15%, and test grades counting 60%.
2. The semester grade is calculated as follows: first nine weeks 40%, second nine weeks 40% and the semester exam (20%).

If you have any questions, please contact me at school (737-3865 ext 120) or at home (722-4347).

Class Outline

Basics of Geometry

* Finding and describing patterns
* Inductive Reasoning
* Points, Lines, and Planes
* Sketching intersections
* Segments and their measures
* Angles and their measures

Segments and Angles

* Segment bisectors
* Angle bisectors
* Complementary and supplementary angles
* Vertical angles
* If-Then statements and deductive reasoning
* Properties of equality and congruence

Parallel and Perpendicular Lines

* Relationships between lines
* Theorems about perpendicular lines
* Angles formed by transversals
* Showing lines are parallel
* Using perpendicular and parallel lines
* Translations

Triangle Relationships

* Classifying triangles
* Angle measures of triangles
* Isosceles and equilateral triangles
* The Pythagorean theorem and the distance formula
* The converse of the Pythagorean theorem
* Medians of a triangle
* Triangle inequalities

Congruent Triangles

* Congruence and triangles
* Proving triangles are congruent: SSS and SAS
* Proving triangles are congruent: ASA and AAS
* Hypotenuse-leg congruence theorem: HL
* Using congruent triangles
* Angle bisectors and perpendicular bisectors
* Reflections and symmetry

Quadrilaterals

* Polygons
* Properties of parallelograms
* Showing quadrilaterals are parallelograms
* Rhombuses, rectangles, and squares
* Trapezoids
* Reasoning about special quadrilaterals

Similarity

* Ratio and proportion
* Similar polygons
* Showing triangles are similar: AA
* Showing triangles are similar: SSS and SAS
* Proportions and similar triangles
* Dilations

Polygons and Area

* Classifying polygons
* Angles in polygons
* Area of squares and rectangles
* Area of triangles
* Area of parallelograms
* Area of trapezoids
* Circumference and area of circles

Surface Area and Volume

* Solid figures
* Surface area of prisms and cylinders
* Surface area of pyramids and cones
* Volume of prisms and cylinders
* Volume of pyramids and cones
* Surface area and volume of spheres

Right Triangles and Trigonometry

* Simplifying square roots
* 45-45-90 triangles
* 30-60-90 triangles
* Tangent ratio
* Sine and cosine ratios
* Solving right triangles

Circles

* Parts of a circle
* Properties of tangents
* Arcs and central angles
* Arcs and chords
* Inscribed angles and polygons
* Properties of chords
* Equations of circles
* Rotations