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Math E-Geometry-Summer 2008

Section 1241

MTWTh 8-11:45am, SCI 202

Course Description: This course covers the study of plane geometric figures and their relationships.  Topics that will be examined include angles, parallel lines, congruent and similar triangles, circles, geometric constructions, right triangle trigonometry, applications of formulas for perimeter, area, surface area and volume of geometric figures.  The study of mathematical proof and logical reasoning will be investigated and applied to solve problems.  This course will also include topics in analytic geometry.

Prerequisites: Math A or B.

Advisories:  ENGL 41, ENGL A

Expected Student Outcomes: 

Upon completion of this course, the student is expected to be able to:

1)          Express knowledge of Basic Logic and Proof: 

·       demonstrate understanding of basic logic by identifying and giving examples of undefined terms, axioms, theorems, and distinguishing between inductive and deductive reasoning

·       construct and judge the validity of a logical argument and give counterexamples to disprove a statement

·       compose geometric proofs, including proofs by contradiction

2)          Compose and Analyze Geometric Proofs: 

·       prove basic theorems involving congruence and similarity (this includes using the concept of corresponding parts of congruent triangles) and use them to formulate proofs that triangles are congruent or similar

·       prove and apply theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles

·       prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles

·       prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles

·       prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles

·       compose proofs and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles

3)          Distinguish where to apply and utilize geometric relationships: 

·       describe and analyze where to use the triangle inequality theorem

·       prove and apply the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles

·       identify the definitions of the basic trigonometric functions defined by the angles of a right triangle and are able to use elementary relationships between them to solve problems involving right triangles

·       recognize and have the ability to use angle and side relationships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles

4)          Solve problems and perform computations involving Geometric figures and their dimensions:  

·       compute, derive, and solve problems involving perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures, including prisms pyramids, cylinders, cones, and spheres

·       calculate areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids

·       distinguish how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids

·       find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems

5)          Construct basic geometric Constructions: 

·       create basic constructions with a straightedge and compass

·       constructions include angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line.

6)          Experiment with the Motion of Geometric figures in two and three dimensional space:

·       assess the effect of rigid motions on figures in the coordinate plane and space

·       show understanding of the effects of rotations, translations, and reflections.

7)          Make appropriate use of available technology.

Textbook: Geometry by Ray Jurgensen, Richard Brown, and John Jurgensen

Supplies:  You will need a compass, protractor, and a ruler for this course.

Calculator: You will need a basic scientific calculator for this course.  I recommend a TI-30X.

Tutoring:

• There is a tutoring center located in the communications building directly across the grass from the science building; one on one tutoring is available there with a referral signed by me as well as drop in tutoring at specific times.
• 0.5 points of extra credit will be given for each you use any of our tutorial services you must use an extra credit record sheet to keep track of this kind of extra credit.

SI Sessions: 

• This course offers supplemental instruction (SI) by a trained student leader well versed in this subject. 
• The leader will be working with me and attending class in order to determine what is important to study in the sessions outside of class time. 
• You will receive 0.5 points of extra credit towards your homework point total for every hour of SI you attend.
• The study sessions will be held MTWTh 1-3pm (the location will be announced).

Exams:

• There will be 6 or 7 exams; each exam will cover two chapters each.
• We will have an exam at the end of each week.
• You may use your late exam coupon to make-up one exam.  You have 2 school days to do this.
• If you know you will be absent on an exam day you can arrange to take the exam early.
• There are no re-take exams (to improve your exam grade)
• Your lowest exam grade will be dropped.

Homework:

• Homework will be due every day and will be collected at the beginning of class after homework questions have been discussed.
• Some homework assignments may require the use of a computer.
• Each section of homework is graded separately and is worth 10 points for the entire section.
• You may turn in late homework using your late homework coupons; you have two school days to do this.
• One coupon for each assignment; staple the coupon to the assignment.

In Class Work:

• In class work is unannounced; each in class assignment is worth 10 points.
• In class assignments cannot be made up.
• One in class assignment score will be dropped.

Extra Credit: 

• 0.5 point of extra credit will be applied to your homework point total for every time you attend a tutoring session in the Tutorial Center or for each SI Study Session.
• I will collect your extra credit record sheets (for tutorial center or math lab attendance) the day of the final exam.  Your SI extra credit will be recorded by your student leader.
• All extra credit will be included in your homework point totals. 

Final Exam:

·         The final exam is comprehensive and mandatory; you must take the final exam to pass the class.

·         The date for the final exam is Thursday, July 24th – 8 to 10am

 

 

Grading: