Text(s)/Materials:

Daily handouts written by IMSA Math Team

Course Description:

Mathematical Investigations is a four semester algebra II/pre-calculus sequence of courses. MI-IV is the fourth course in this sequence and will concentrate on the study of sequences and series, trigonometry, vectors, polar coordinates, and conics.

Teaching and Learning Methodology and Philosophy:

Students need to be engaged in the exploration of mathematical concepts so that they can make those concepts their own. Often this takes more effort on the student's part than simply absorbing what the teacher is saying. Computer and calculator technology can provide tools for these investigations, but the student must provide the positive attitude and honest effort. In order to be successful in mathematics, students must eventually learn a basic set of skills and relationships and have them "at hand" to use when necessary. Students develop a basic set of understandings through conscientious attention to regular class assignments. If assignments are not completed, or are done at the last minute, such understandings are usually not learned as thoroughly as they need to be. Students are also encouraged to develop their abilities to express mathematical ideas orally and in writing, to explain what they are doing, what conjectures they are forming, and what conclusions they have reached. It is hoped that by expressing these experiences in words, the student will gain a deeper understanding of them.

Student Expectations:

All students are expected to
• be involved in class discussions and explorations.
• maintain a notebook containing class notes, homework assignments, Cycle Problem Sets, vocabulary list, formula lists, "Things that are not clear to me" sheet and other handouts.
• complete all assignments and problems sets in a timely manner.
• take responsibility for learning certain basic skills and relationships.
• take responsibility for seeking additional help as it is needed.
• have a graphing calculator with them during each class.

Assessment Practices, Procedures, and Processes:

Students have a variety of opportunities to demonstrate their abilities to fulfill the expectations of this course. Primarily, students will be evaluated on the quality and completeness of their notebooks, their involvement in class discussions and explorations, homework assignments, successful completion of the weekly problem sets, and their demonstration of knowledge and skills on exams.

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