Summer School - Mathematics
The following courses are offered within the Mathematics Department. All math courses run from Monday, July 1-Friday, August 2 (5 weeks).
Algebra I -- Credit
Prerequisite: Successful completion of Math 7, Algebra 1 8B, or an introductory Algebra course, and, for Horace Mann students, approval of the Middle Division Department Chair. Non-Horace Mann students entering grade 8 may enroll for this course. Please be aware that Horace Mann students may not use this course for the purpose of acceleration in the summer after their 7th grade year.
The course begins with a thorough review of the material studied in the Math 7 course. Topics such as coordinate graphing and polynomials continue to be investigated on a more abstract level. Factoring, quadratic equations, algebraic fractions, systems of equations, inequalities, irrational numbers, and the quadratic formula are taught. Word problems remain an integral part of the course.
Five of six periods per day.
Mr. Luis Franco will teach this course.
Geometry -- Credit
Prerequisite: Satisfactory completion of Algebra I and, for Horace Mann students, approval of the Upper Division Math Chair. This course covers a full year's work in Geometry and is designed for Horace Mann students who are entering the 10th grade in the next school year and who have had a full course in Algebra I (or who will be new to the school and have passed our placement test for entry into Geometry). Horace Mann students may NOT take this course for the purpose of acceleration in the summer after their 8th grade year.
The course is designed to convey an appreciation of geometry as a deductive system. Starting with undefined terms, postulates, and definitions, the students follow the progressive development of theorems and their proofs to create a mathematical structure with rich aesthetic and practical value. In building this axiomatic structure, they improve their ability to recognize and organize the various relationships among points, lines, triangles, polygons, and circles in the plane. Throughout the summer, students will engage in a series of guided explorations using the dynamic software program, Geometer’s Sketchpad.
Five of six periods per day.
Mrs. Susan Garrison, Ms. Kristin Josephson, and Mr. Mike Jaros will teach this course.
Algebra II & Trigonometry -- Credit
Prerequisites: Algebra I and Geometry. This course is equivalent to a full-year Algebra II course. This workload is intensive. Horace Mann students may take this course for credit only if they are repeating the course. Students from outside of Horace Mann may take this course for credit provided their schools have granted permission.
Five of six periods per day.
Mr. Chance Nalley will teach this course.
Pre-Calculus -- Credit
Prerequisite: Satisfactory completion of Algebra II and Trigonometry and approval of the department chair for Horace Mann students. Within the Horace Mann community, this course is open ONLY to students who will be seniors in the following academic year.
This course lays the foundation for college-level Advanced Placement Calculus AB. As problem-solving is a central theme of this course, students will develop their ability to solve problems that require them to apply what they have learned in new and seemingly unfamiliar situations.
In terms of content, this course is a combination of theoretical study and practical applications of the elementary functions, including trigonometric, polynomial, exponential, and logarithmic. Other major topic areas include combinatorics, elementary probability, sequences, series, the conic sections, and an introduction to the intuitive concept of a limit.
This course may be used for advancement within the Horace Mann sequence in the following ways:
(i) A student who achieves a grade of C+ or higher and has the approval of the department chair will be eligible for Contemporary Calculus (0450)
(ii) A student who achieves a grade of B or higher and has the approval of the department chair will be eligible for Advanced Placement Statistics (0462)
(iii) A student who achieves a grade of B+ or higher and has the approval of the department chair will be eligible for Advanced Placement Calculus AB (0451)
Five of six periods per day.
Mr. Rick Somma will teach this course.
