# Mathematics

The Mathematics Department at Jesuit Dallas encourages curiosity and appreciation for the beauty and practice of mathematics by leading students in their encounter with and exploration of eternal truths. We provide tools that facilitate a transformation of mathematical thinking from procedural to theoretical and practical. Students at every level are empowered to become active learners and critical thinkers who are able to examine the needs of our world and respond with confidence and competence. To achieve this end, we work with students as individuals, taking them from their current level of understanding through a rigorous four-year curriculum designed to challenge each student to reach his potential.

## Booklist

Jesuit will provide digital copies of all books; hard copies of these books are optional. Students are responsible for obtaining all other texts. Please read notes carefully.

## Mathematics [600]

The four year Math requirement may be fulfilled with courses listed in this section. All students must receive credit for Algebra 1, Geometry, and Algebra 2. All courses require a graphing calculator. Incoming freshmen will be placed in honors or advanced level math classes based on their performance on the ISEE Admissions Exam and the Jesuit Algebra Skills Assessment Exam. Transfer students will be placed in an appropriate level math class based on their previous transcript and performance on the appropriate level placement exam.

- Important Placement Information for Class of 2023
- ALGEBRA 1 [612]
- Advanced ALGEBRA 1 [613]
- ALGEBRA 2 [614]
- HONORS ALGEBRA 2 [615]
- HONORS GEOMETRY [621]
- GEOMETRY [622]
- HONORS ALGEBRA 2/TRIGONOMETRY [631]
- ALGEBRA 2/ Trigonometry [632]
- HONORS ADVANCED ALGEBRA 2/TRIGONOMETRY [639]
- AP STATISTICS [657]
- STATISTICS [658]
- HONORS PRECALCULUS [665]
- PreCalculus [670]
- HONORS PRECALCULUS [667]
- PRECALCULUS [668]
- SUMMER PRECALULUS
- AP CALCULUS BC [677]
- AP CALCULUS AB [678]

## Important Placement Information for Class of 2023

All incoming students are required to take the Algebra Skills Assessment prior to the start of their Jesuit career. Based on the results of the Algebra Skills Assessment and their ISEE performance, students are placed in one of the following courses for their freshman year: Algebra 1 [612], Advanced Algebra 1 [613], Algebra 2 [614], or Honors Algebra 2 [615]. All of these courses are freshman-only courses and are intended to prepare them for their subsequent coursework at Jesuit and beyond. To help you understand the four year opportunities available based on the initial placements, below is a listing of the potential course progression:

**Initial Placement: Algebra 1 [612] or Advanced Algebra 1 [613]**

- Freshman Year: Algebra 1 or Advanced Algebra 1
- Sophomore Year: Geometry or Honors Geometry (based on grades and recommendations)
- Junior Year: Algebra 2 or Honors Algebra 2 (based on grades and recommendations)
- Senior Year: Statistics, AP Statistics, Precalculus, Calculus*, or AP Calculus AB* (based on previous year course, grades, and interest)

*requires recommendation and placement in summer Precalculus before senior year

**Initial Placement: Algebra 2 [614] or Honors Algebra 2 [615]**

- Freshman Year: Algebra 2 or Honors Algebra 2
- Sophomore Year: Geometry or Honors Geometry (based on grades and recommendations)
- Junior Year: Precalculus/Trigonometry or Honors Precalculus/Trigonometry (based on grades and recommendations)
- Senior Year: Statistics, AP Statistics, Calculus, AP Calculus AB, AP Calculus BC (based on grades, recommendations, and interest)

All initial placements are evaluated during the first 6 weeks of class and, when warranted, a change can be recommended between levels and/or courses at the 6-week grade check. For example, a student initially placed in Algebra 1 [611] has the potential to move into Advanced Algebra 1 [613] if his performance, motivation, and participation level warrants a change. All recommendations are required to be initiated from the teacher and be approved by a Mathematics Department Chair and the Assistant Principal for Student Academics.

Worth noting is the opportunity for students to move between regular and honors courses during their time at Jesuit. For example, a student who starts in Algebra 1 [612] can move into an honor course during their tenure at Jesuit (and vice versa). Our hope is for each student to find both success and challenge in their coursework. The flexibility between course levels encourages, promotes, and facilitates opportunities for students to find the right course for them to learn most effectively and be prepared to achieve their academic and personal goals. The online catalog is updated annually and it is important for students to take special note of the prerequisites for any course/s they wish to take at Jesuit.

## ALGEBRA 1 [612]

Credit: 1.00

Prerequisites: None.

Description: The first year Algebra course is designed to provide a link between the mathematics which students have already studied and the mathematics courses which they will study in their high school years. Topics include a brief review of algebraic terms, simple equations, and real numbers; other topics concern solving equations, problem solving, factoring, linear systems, functions, inequalities, rational numbers, quadratic functions, and the graphing of linear and quadratic functions both with and without a graphing calculator.

## Advanced ALGEBRA 1 [613]

Credit: 1.00

Prerequisites: Exposure to algebraic concepts during middle school. Placement is based on the Algebra Skills Assessment Test and ISEE.

Description: Topics covered are the same as Algebra 1. Differences include time allotted each section, types of presentations, depth of understanding for some concepts, extended use of graphing calculators and more challenging tests and quizzes. Honors students are expected to finish the course with a more in depth understanding and the ability to be more independent in dealing with new material.

## ALGEBRA 2 [614]

Credit: 1.00

Prerequisites: Exposure to algebraic concepts in middle school. Placement is based on the Algebra Skills Assessment and ISEE.

Description: This freshman level course has topics that include solution techniques for a variety of linear and quadratic equations and inequalities and systems, using both algebraic analysis and matrix algebra on the graphing calculator. This is to be followed by analysis and simplification of exponential, logarithmic, rational, polynomial (including those of degree 3 and greater) and irrational functions. Finally the set of complex numbers, the conic sections, series and sequences and probability and statistics are introduced. Students are encouraged to develop a diverse set of problem solving skills, including technological approaches, through work on numerous application problems in each section.

## HONORS ALGEBRA 2 [615]

Credit: 1.00

Prerequisites: Exposure to algebraic concepts in middle school. Placement is based on the Algebra Skills Assessment and ISEE.

Description: This freshman level course has topics such as solution techniques for a variety of linear and quadratic equations and inequalities and systems, using both algebraic analysis and matrix algebra on the graphing calculator. This is to be followed by analysis and simplification of exponential, logarithmic, rational, polynomial (including those of degree 3 and greater) and irrational functions. Finally the set of complex numbers, the conic sections, series and sequences and probability and statistics are introduced. Students are encouraged to develop a diverse set of problem solving skills, including technological approaches, through work on numerous application problems in each section. Assignments and tests include more challenging problems and more creative solution techniques.

## HONORS GEOMETRY [621]

Credit: 1.00

Prerequisites: Completion of Algebra 1. Sophomore standing. Students must meet the following prerequisites:

- First semester average of at least 82% in Honors Algebra 2, 92% in Advanced Algebra 1 or Algebra 2, or at least 95% in Algebra 1;
- Second semester average (at 4th 6 week grade check) of at least 85% in Honors Algebra II, 92% in Advanced Algebra 1 or Algebra 2, or at least 95% in Algebra 1;
- The current teacher’s recommendation.

Description: This course covers all the topics of Geometry but from an approach heavily centered on the development and use of deductive reasoning. Students are expected to develop conjectures related to the various topics and to prove the same as theorems before using them in related exercises.

## GEOMETRY [622]

Credit: 1.00

Prerequisites: Algebra 1 and sophomore standing.

Description: This course develops the thinking skills of the students. These skills are: reasoning, analysis, interpreting, recall and transfer, classification, spatial perception, synthesis, and application of concepts. The course emphasizes proof and problem solving. Content areas include properties of triangles, polygons and circles, similarity, trigonometry, areas of plane figures, and surface areas and volumes of solids, and constructions of figures. Coordinate and transformational approaches to geometry are also taught.

## HONORS ALGEBRA 2/TRIGONOMETRY [631]

Credit: 1.00

Prerequisites:

- Second semester average of at least 85% in Honors Algebra 1, or at least 90% in Algebra 1 during freshman year;
- First semester average of at least 90% in Geometry or 80% in Honors Geometry;
- Second semester average (at 4th 6 week grade check) of at least 90% in Geometry or 80% in Honors Geometry; and,
- The current teacher’s recommendation.

A student who completed Honors Advanced Algebra I may enroll in Honors Algebra 2/Trig with a second semester average of at least 85% in any Geometry course and the current teacher’s recommendation.

Description: In addition to the topics covered in Algebra 2 the course also includes trigonometry. Assignments and tests include more challenging problems and more creative solution techniques.

## ALGEBRA 2/ Trigonometry [632]

Credit: 1.00

Prerequisites: Completion of Algebra 1 and Geometry

Description: Topics include solution techniques for a variety of linear and quadratic equations and inequalities and systems, using both algebraic analysis and matrix algebra on the graphing calculator. This is to be followed by analysis and simplification of exponential, logarithmic, rational, polynomial (including those of degree 3 and greater) and irrational functions. Finally the set of complex numbers, the conic sections, series and sequences and probability and statistics are introduced. Students are encouraged to develop a diverse set of problem solving skills, including technological approaches, through work on numerous application problems in each section.

## HONORS ADVANCED ALGEBRA 2/TRIGONOMETRY [639]

Credit: 1.00

Prerequisites:

- Junior Standing
- Second semester average of at least 92% in Honors Algebra I or 95% in Algebra I during freshman year;
- First semester average of 85% in Honors Geometry;
- Second semester average of at least 85% (at 4th 6 week grade check) in Honors Geometry; and,
- The current teacher’s recommendation.

Students with at least 95% in second semester Geometry may be considered for this course on an individual basis.

Description: This course is designed as preparation for a level of AP Calculus in the student’s senior year. In addition to the topics covered in Algebra 2 the course also includes trigonometry, as well topics from Precalculus of function analysis, mathematical induction, sequences, series, and limits. Assignments and tests include more challenging problems and more creative solution techniques.

## AP STATISTICS [657]

Credit: 1.00

Prerequisites: Completion of Algebra 1, Algebra 2 and Geometry. Students must have a GPA above 85.0 and must meet the following grade requirements at the end of semester 1 and the end of the 4th 6 weeks.

- 70% in Honors Precalculus
- 75% in either Honors Algebra 2 or Precalculus, or
- 80% in Algebra 2.

Description: This course may be taken following Precalculus, concurrently with Calculus, or concurrently with Precalculus. The focus of the course is preparation for successful completion of the AP Statistics Exam. Topics are similar to those for Statistics with emphasis on those topics listed by the College Board.

This class meets four days a week.

## STATISTICS [658]

Credit: 1.00

Prerequisites: Completion of Algebra 1, Algebra 2 and Geometry. Second semester averages of 75% in Algebra 2, 70% in Honors Algebra 2, or 70% in Precalculus. This course can be taken concurrently with or following Precalculus.

Description: Topics include statistics, experimental design, data de the role of analysis, basic probability and probability distributions including binomial, geometric, Poisson, Chi-square and normal, sampling variability and distributions, estimation, confidence intervals, hypothesis testing, analysis of bivariate data, and linear regressions.

*This class meets four days a week.*

## HONORS PRECALCULUS [665]

Credit: 1.00

Prerequisites: Junior standing and completion of Geometry, Algebra 2. Students must have a second semester average (at 4th 6 week grade check) of 85% in Honors Algebra 2/ trigonometry or 95% in Algebra 2/Trigonometry and the teachers’ recommendation.

Description: This course is designed as preparation for the BC level of AP Calculus in the student’s senior year. In addition to the topics of Precalculus, this course includes mathematical induction, sequences and series, limits, and polar and parametric function representation.

*This class meets five days a week.*

## PreCalculus [670]

Credit: 1.00

Prerequisites: Junior standing and completion of Algebra 1, Geometry, and Algebra 2.

Description: The main objective of this course is to prepare students for a calculus course in their senior year or at the college level. The course emphasizes the study of algebraic, exponential, logarithmic and trigonometric functions and their applications. The course is driven by function analysis, mathematical reasoning and problem solving using appropriate current technology.

## HONORS PRECALCULUS [667]

Credit: 1.00

Prerequisites: Senior standing and completion of Algebra 1, Geometry, Algebra 2. Students must have a first semester average and 4th 6 week average of 85% in Honors Algebra 2/trigonometry or 95% in Algebra 2/Trigonometry and the teachers’ recommendation.

Description: This course is designed as preparation for a rigorous course in Calculus. In addition to the topics of Precalculus, this course includes mathematical induction, sequences, series, limits, limits of functions, and an introduction to the derivative and its applications.

*This class meets four days a week.*

## PRECALCULUS [668]

Credit: 1.00

Prerequisites: Completion of Algebra 1, Geometry, and Algebra 2. Second semester averages of at least 75% in Honors Algebra 2 or 80% in Algebra 2/Trigonometry.

Description: The main objective of this course is to build a solid mathematical foundation in preparation for the student’s entry into college level courses. The course emphasizes the study of algebraic, exponential, logarithmic and trigonometric functions and their applications; complex numbers are also studied. The emphasis will be on function analysis, mathematical reasoning and problem solving using appropriate current technology.

*This class meets four days a week.*

## SUMMER PRECALULUS

Not for Credit – The purpose of this course is to qualify for AP AB Calculus during the student’s senior year.

Prerequisites: Second semester averages of at least 90% in Honors Algebra 2/Trigonometry and the current teacher’s recommendation. A student with at least a 95% in Algebra 2/Trigonometry may be considered on an individual basis.

Description: The main objective of this course is to cover content excluded in Honors Algebra II, but necessary for AP AB Calculus. The course focuses on the understanding of algebraic, exponential, logarithmic and trigonometric functions and their applications. The emphasis will be on function analysis, mathematical reasoning and problem solving using appropriate current technology.

*This class meets four days a week.*

## AP CALCULUS BC [677]

Credit: 1.00

Prerequisites: Completion of Algebra 1, Algebra 2 and Geometry, Precalculus. Students must have a second semester average of at least 85% in Honors Precalculus, a 90% in Honors Advanced Algebra II, or 95% in Precalculus and the current teacher’s recommendation.

Description: The focus of the course is preparation for successful completion of the AP BC Calculus Exam. Topics are presented using graphical, numerical, algebraic, and verbal approaches with an emphasis on the use of appropriate technology. Students who successfully complete this course and the AP exam may qualify to earn credit and/or placement at most colleges and universities.

*This class meets five days a week.*

## AP CALCULUS AB [678]

Credit: 1.00

Prerequisites: Completion of Algebra 1, Algebra 2 and Geometry; Students must have a second semester average of at least 75% in Honors Precalculus or 80% in Precalculus or Honors Advanced Algebra II and the current teacher’s recommendation. Students may also qualify for the course after successful completion of Summer Precalculus and the teacher’s recommendation.

Description: This is an introductory course in differential and integral Calculus with elementary functions. The focus of the course is preparation for successful completion of the AP AB Calculus Exam. Definitions and theorems are precisely stated; proofs of theorems are often deferred to a later course. Topics are presented using graphical, numerical, algebraic, and verbal approaches with an emphasis on the use of appropriate technology. Students who successfully complete this course and the AP exam may qualify to earn credit and/or placement at most colleges and universities.

*This class meets four days a week.*