June, 2012 Dear prospective Algebra 2 and Trigonometry Honors students,

I very much look forward to beginning our mathematical journey together in the fall and would like to take this opportunity to welcome you to this wonderful course. I’m delighted that you are on board and hope that you will look back on this course as a significant milestone in your growth as a student of mathematics. I hope that you will find this course to be rewarding, enjoyable, and appropriately challenging. There is no doubt in my mind that this course offers us the opportunity to explore some very interesting mathematical ideas which combined with your previous experiences will form the foundation of your future studies in mathematics.

What follows is some information regarding an assignment which I would like you to complete over the summer.

Algebra 2 and Trigonometry Honors Summer Assignment

As a way of connecting those topics which you have studied in Geometry this year with concepts and skills which we will be developing further in Algebra 2 and Trigonometry Honors, you are asked to complete a summer assignment in preparation for the course next year. This is an important assignment designed to get your mind engaged in studying a range of interesting problems prior to beginning our adventure together in Algebra 2 and Trigonometry Honors.

Details of the Assignment

The summer packet consists of seven questions based on ideas, concepts, and skills many of which you are most likely to have encountered in your prior Geometry and Algebra 1 courses. Nonetheless, you should not be surprised if some problems might appear unfamiliar to you and/or may require some creative problem solving. It is intended that this problem set be more than just a set of routine exercises.

A total of five hours should be more than sufficient to make a solid attempt at this assignment. It is suggested that you not spend more than 30 minutes on any given problem. You may work on the problems in any order, though clearly it would be beneficial to focus on one problem at any given time. In the event that a particular problem appears to present some challenges, you may find it helpful to make an initial attempt and then revisit the problem at a later time. Nonetheless, you are expected to devote quality time in completing this assignment. You are welcome to refer to books or notes from previous courses, but I ask that no other resources (ex. internet resources) be used in completing this assignment. Please note that you are asked to complete this assignment without assistance from other individuals.

The work should be done in pencil and neatly presented on loose-leaf paper. It is particularly important that you show all work as you will be graded on the correctness of your methods in addition to the accuracy of your final answers. A partial solution attempt may be invaluable in terms of the process and thinking behind your efforts. A problem left blank or not attempted is clearly of less value.

So that it is fresh in your mind, you are strongly advised to complete this assignment during the 2-3 week period prior to the start of school. Beyond the fact that this work is a graded assignment, it will serve as an important transition into the kind of thinking which you can expect to be engaged in next year in the Algebra 2 and Trigonometry Honors course.

The assignment will be due on the first day of class next year. Should you have any questions regarding the course or the summer assignment, you may contact me via email (acaglieris@ You are encouraged to seek any clarifications before you leave for summer break. I look forward to seeing you in the fall.

Thank you in advance for your efforts.

Have a wonderful summer!

Dr. Caglieris