Advanced Geometry Appendix C





Students will do homework problems and group projects involving the use of the computer for geometric construction, the use of Geometers' Sketchpad software.

Facilitating the building of student conceptual and procedural understanding.

Students use computer software including computer animation to enhance geometric intuition. Homework and projects are used to assess this.

Helping all students build understanding of the discipline including:

. Confidence in their abilities to utilize mathematical knowledge.

. Awareness of the usefulness of mathematics.

. The economic implications of fine mathematical preparation.

Students working in groups and using cooperative/discovery based learning techniques will produce written results on the theory of similarity of quadrilaterals based upon triangle similarity.


The written results produced by students together with examination questions on quadrilateral similarity theory, geometric constructions and projective geometry will assess students' problem-solving skills.


Student's homework on geometric constructions will assess their ability to pose mathematical problems, use multiple strategies and evaluate results. Effective use of problem-solving techniques are assessed in homework and exam questions.


This course tests all these abilities through appropriate exam questions, group projects, and homework problems.




Individual's homework and group projects allow students to show they understand the concepts and procedures used in geometric constructions, similarity theory, and projective geometry.


Students draw diagrams of geometric structures in order to guide problem solving and proofs for homework, projects, and exams

Mathematical processes including:

. Problem solving.

. Communication.

. Reasoning and formal and informal argument.

. Mathematical connections.

. Representations.

. Technology.

To pass the exams in this course, students must be successful at problem solving, communication, and reasoning both at formal and informal levels. Students use Geometer's Sketchpad software in solving some homework problems. Group projects and an individual's projects are used to assess students ability to give formal and informal arguments.


. Number sense.

. Set theory.

. Number and operation.



. Computational procedures.

. Proportional reasoning.

. Number theory.

NA to this course.



. Algebraic and transcendental numbers.

. The complex number system, including polar coordinates.




NA to this course.


. Formal and informal argument.


. Spatial sense.








Students present formal and informal arguments involving quadrilateral similarity theory and geometric constructions in their homework and in answering examination questions. Three dimensional transformations are studied extensively and understanding is assessed in exams and homework.





Students are assessed using exams questions, and homework on their understanding of projective geometry. Three-dimensional geometric transformations concepts are tested on exams, homework and projects. Students are required to give informal proofs, and counter-examples as part of their answers on exams, in their solutions to homework problems and in their projects.


. Use of data to explore real-world issues.



. Analysis and interpretation of data.

. Randomness, sampling, and inference.


. Outcome prediction based on experimentation or theoretical probabilities.

NA to this course.




. Probability theory and its link to inferential statistics.

. Discrete and continuous probability distributions as bases for inference.


NA to this course.


. Patterns.







NA to this course.



. Modeling to solve problems.




. Multivariate calculus.

. Differential equations.

NA to this course.


. Counting techniques.


. Iteration and recursion.

NA to this course.




. Developing and analyzing algorithms.

NA to this course.

Contact Us

Department of Mathematics
Kathy Tomlinson, Department Chair
207 North Hall