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Mathematics

2014-2015 Course Offerings (4 credits to graduate)

**Please note--there are a few summer Mathematics courses at Brophy that are offered as bridge courses for capable students to ascend the curriculum at an expedited pace.  These courses do not count against a student's four credit requirement, however; all students must always be enrolled in a Mathematics course during the regular year.

ALGEBRA I         REQUIRED-FULL YEAR
This course is designed to provide students with a basic foundation in algebra. Topics include linear and quadratic equations, factoring, polynomials, functions and inequalities. Students should plan on twenty to thirty minutes of homework per class session.

HONORS ALGEBRA I         BY RECOMMENDATION-FULL YEAR
Placement is based upon entrance exam score for the class or 2012.
This course covers the same topics as Algebra I, but at a faster pace; the difficulty level is also increased. Thirty minutes of homework can be expected per class session.

HONORS ALGEBRA/GEOMETRY        BY TESTING/RECOMMENDATION-FULL YEAR
This course is designed for incoming 9th graders who can demonstrate mastery of concepts within the first semester content of both Algebra I and Geometry, but possess gaps in their understanding of semester two concepts.  The course speed-reviews semester one content and then immerses students in work toward mastery of semester two concepts.  Students who find success in this course will move into Algebra II or Honors Algebra II as 10th graders and will be on track to take either Honors Calculus or AP Calculus AB as seniors.

GEOMETRY         REQUIRED-FULL YEAR
This course is designed to acquaint students with the basic structure and vocabulary of geometry as well as develop a proficiency in doing formal proofs. Students can expect thirty minutes of homework per class session.

HONORS GEOMETRY         BY RECOMMENDATION-FULL YEAR
Prerequisite: Teacher recommendation.
This course covers the same topics as Geometry but at a quicker pace and greater difficulty level. Thirty to forty minutes of
homework can be expected per class session.

ALGEBRA II         REQUIRED-FULL YEAR
This course is designed to prepare students for college-level mathematics. Students should be prepared for thirty to forty
minutes of homework per class session.

HONORS ALGEBRA II         BY RECOMMENDATION-FULL YEAR
Prerequisite: “B+” or better in Honors Algebra I or “A” in Algebra I and the recommendation of the teacher.
This course covers the same topics as Algebra II but at a faster pace and greater difficulty level. Forty minutes of homework can be expected by students.

THE FOLLOWING COURSES ARE POST-ALGEBRA II ELECTIVES WHICH COMPLETE THE FOUR-YEAR
MATHEMATICS REQUIREMENT FOR SENIORS: ALL PLACEMENTS INCLUDE TEACHER RECOMMENDATIONS.

PROBABILITY AND STATISTICS         FULL YEAR
Prerequisite: Algebra II
A year long course for which no Rio Salado credit will be offered. Basic concepts and applications of statistics, including
data description, estimation and hypothesis tests.

PRE-CALCULUS {Rio Salado eligible}         FULL YEAR
Prerequisite: Algebra II
This course is a full-year pre-calculus course that combines topics from algebra and trigonometry to offer strong preparation for university-level analytical geometry and calculus courses.

HONORS PRE-CALCULUS {Rio Salado eligible}         BY RECOMMENDATION—FULL YEAR
Pre-requisite: Honors Algebra II and Teacher recommendation
This course is a full-year advanced pre-calculus course that combines topics from algebra and trigonometry to offer strong
preparation for AP Calculus AB, as well as advanced university-level analytical geometry and calculus courses.

AP STATISTICS        BY RECOMMENDATION-FULL YEAR
Prerequisite:  Solid success in Algebra II or above math class.
The purpose of the AP course in statistics is to introduce students to the major 
concepts and tools for collecting, analyzing and drawing conclusions from data . 
Students are exposed to four broad conceptual themes:
1 . Exploring Data: Describing patterns and departures from patterns
2 . Sampling and Experimentation: Planning and conducting a study
3 . Anticipating Patterns: Exploring random phenomena using probability 
and simulation
4 . Statistical Inference: Estimating population parameters and testing hypotheses

AP CALCULUS AB         BY RECOMMENDATION-FULL YEAR
Prerequisite: At least a B+ in Honors Pre-Calculus and teacher recommendation.
This full-year course will prepare students to take the Advanced Placement (AP) Calculus AB exam. Five to six hours of
homework per week can be expected.
 

HONORS CALCULUS   {Rio Salado Eligible}         BY RECOMMENDATION--FULL YEAR 

Pre-Requisite: Honors Pre-Calculus or Pre-Calculus and teacher recommendation

This course is a full year calculus course that will examine the theory, techniques and applications of limits, continuity, differential and integral calculus of functions in one variable with problems related to business, the physical and social sciences.

 AP CALCULUS BC         BY RECOMMENDATION-FULL YEAR

Prerequisite: At least a B+ in AP Calculus AB and teacher recommendation.
This full-year course will prepare students to take the Advanced Placement (AP) Calculus BC exam. Six to eight hours of
homework per week can be expected.

DIFFERENTIAL EQUATIONS         FULL YEAR
Prerequisite: This course is for students who have completed multi-variable calculus (AP Calculus BC).
This course will introduce the student to the concepts and methods of solutions for differential equations. There will be some
work with applications


MATH AT XCP

AP STATISTICS IS ALSO OFFERED AT XCP (Pre-requisite is a B or better in Honors Algebra II)

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