Off Canvas Desktop

Off Canvas Mobile

Summer School - Mathematics

The following courses are offered within the Mathematics Department. Horace Mann students please note: No Summer School Mathematics courses may be taken to accelerate. They are only available to students who may need to repeat a course or who need to get on sequence with their peers.

Algebra I

Non-Horace Mann students entering grade 8 may enroll for this course. This course is NOT open to Horace Mann students entering the 8th grade unless there are specific circumstances that warrant entrance to the 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.

This course runs Monday, June 29- Friday, July 31, 2020.

Click here for the application form.

Algebra I syllabus 

Mr. Luis Franco will teach this course.


Prerequisite: Satisfactory completion of Algebra I. This course covers a full year's work in Geometry. Horace Mann students may NOT take this course for the purpose of acceleration in the summer after 8th grade.

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 year, students will engage in a series of guided explorations using the dynamic software program, Geometer’s Sketchpad.

This course runs Monday, June 29 - Friday, July 31, 2020.

Click here for the application form

Geometry syllabus 

Mr. Aaron Thompson will teach this course.

Algebra II & Trigonometry 

Prerequisites: Algebra I and Geometry. This course is equivalent to our full-year Algebra II course. This workload is intense. Students from outside of Horace Mann may take this course for credit provided their schools have granted permission. Please contact Caroline Bartels, Director of Summer School, if your school requires more information about this course.

The thematic thread that ties this course together is the mathematical concept of a function. Students learn to interpret functions algebraically and graphically, as well as how to connect the two. Functions of particular interest are the sine, cosine, exponential, logarithmic, linear, quadratic, and absolute value. There is a substantial treatment of trigonometry and complex numbers. The course is presented in a spirit of investigation, facilitated by the use of the graphing calculator. Skill-building is emphasized as students learn to attack problems with a toolbox of acquired algorithms. Of equal importance, students encounter open-ended problem-solving in which they learn how to devise their own strategies for tackling non-routine problems.

This course runs Monday, June 29- Friday, July 31, 2020.

Click here for the application form.

Algebra II & Trigonometry syllabus

Ms. Bri Gzik will teach this course.


Prerequisite: Satisfactory completion of Algebra II and Trigonometry. It is not available to current Horace Mann 10th graders in Algebra II & Trigonometry who may want to accelerate.

Non-Horace Mann students will receive information from the instructor before the course to determine what topics the student has not yet covered.

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, reciprocal, rational, exponential, and logarithmic. Students will learn to graph and transform trigonometric functions and analyze problems with sinusoidal modeling.  Other major topic areas include combinatorics, the binomial theorem, elementary probability, sequences, sigma notation, and arithmetic and geometric series. 

This course runs Monday, June 29 - Friday, July 31, 2020.

Click here for the application form.

Ms. Linda Itani will teach this course.