 # Mathematics

#### Goal:

##### The Mathematics Department contributes to the students’ total development by cultivating skills in the basic Mathematical fields, while instilling in them an appreciation of the art and application of mathematics. #### Objectives

• To create a degree of mathematical literacy and proficiency among the students.
• To motivate students in order that they may acquire an appreciation of the practicality of mathematics.
• To prepare the mind of the students in areas of logic and reason in coordination with giving the students the basis of a liberal education.
• To cultivate in the students an appreciation of mathematics as a language of its own.
• To coordinate mathematics instruction with related disciplines.
• To acquaint the students with the application of mathematics in the development of technology.

Pre-Algebra

1 Unit – Grade Level 8

Text:  Mathxlforschool Pre Algebra by Martin-Gay

Course Description:  This course provides the student with the fundamental algebraic skills necessary to achieve success in high school mathematics. It includes: the study of whole numbers, decimals, percents, fractions, mixed numbers, ratios, rates, proportions, unions and intersections of set form, positive and negative numbers, simplifying algebraic expressions, algebraic properties, solving linear equations, working with exponents, polynomials, rational and irrational numbers, the arithmetic of radicals, statistics using mean, median and mode, geometry and measurement, and an introduction to word problems.

Algebra I

1 Unit – Grade Level 9

Text:  Mathxlforschool Algebra I
by Martin-Gay

Course Description: This course provides the student with the fundamental algebraic skills necessary to achieve success in high school mathematics. It includes: the study of unions and intersections of set form, positive and negative numbers, simplifying algebraic expressions, algebraic properties, solving linear equations and inequalities, working with exponents, ratios and proportions, factor, solving quadratic equations, rational and irrational numbers, the arithmetic of radicals, statistics using mean, median and mode, and an introduction to word problems.

Algebra I Honors

1 Unit – Grade Level 8&9

Text:  Mathxlforschool Algebra I by Martin-Gay

Course Description: This honors course offers an in-depth study of various concepts of Algebra with an integration of Geometry. It includes: the study of unions and intersections in set form, variables and equations, working with real numbers, solving equations and inequalities, solving absolute value equations and inequalities, polynomials and problem solving, factoring polynomials, algebraic fractions, applying fractions, linear equations and systems, introduction to functions, inequalities, rational and irrational numbers, quadratic functions, radical expressions, radical equations, variation problems, and the coordinate plane. It also includes an introduction into basic statistics and geometrical concepts.

Geometry

1 Unit – Grade Level 10
Required: Algebra I; Departmental approval

Text:  Mathxlforschool Geometry by Martin-Gay

Course Description:  A fundamental study of Euclidean (Plane) Geometry with an introduction to development of basic geometric concepts. Specific attention is given to the following topics: points, lines, planes; angle relationships; parallel lines and planes; congruent triangles; similar polygons and right triangles; quadrilaterals and circles; and perimeter, area and volume.

Algebra II

1 Unit – Grade Level 11
Prerequisite: Geometry; Departmental approval

Text:  Mathxlforschool Algebra 2 by Martin-Gay

Course Description: This course concentrates on fundamental Algebra skills, with emphasis on the real number system, equations and inequalities, complex number system, relations and functions, algebraic fractions, quadratic equations, radicals, the coordinate plane, exponential and logarithmic functions, and conic sections.

Algebra II Honors

1 Unit – Grade Level 10&11
Prerequisite: Geometry Honors or Geometry Honors concurrent; Departmental approval

Text:  Mathxlforschool Algebra 2 by Martin-Gay

Course Description: This honors course offers an in-depth study of various concepts of Algebra: analyzing equations and inequalities, exploring polynomials and radical expressions, exploring quadratic functions and inequalities, exploring rational expressions, graphing linear relations and functions, solving systems of linear equations and inequalities, using matrices, exploring the conic sections, and exploring exponential and logarithmic functions. This course also involves a study of some basic probability and statistics, as well as an introduction into trigonometry.

1 Unit – Grade Level 11 & 12
Prerequisite: Algebra II; Departmental approval and placement

Text:  Mathxlforschool Pre-Calculus by Lial and Mathxlforschool Intermediate Algebra by Martin-Gay

Course Description:  This course is intended for the college-bound student who will pursue advanced studies involving mathematics. The course includes, but is not limited to, a basic introduction to trigonometry including solving right and oblique triangles, graphing basic trig functions, and solving trig equations. Other topics studied in this course include relations and functions and their graphs, variation, synthetic division, rational exponents, logarithmic functions, parallel and perpendicular lines with their slopes and equations, 2×2 and 3×3 systems, matrices and analytic geometry.

Algebra III

1 Unit – Grade Level 12
Prerequisite: Algebra II; Departmental approval and placement

Text:  Mathxlforschool Pre-Calculus by Lial and Mathxlforschool Intermediate Algebra by Martin-Gay

Course Description:

Pre Calculus DE - Adv Math I Honors (Southeastern Louisiana University)***FEE

FEEThe total cost for two semesters of dual enrollment credit is \$450 for the 2021-2022 school year. Students will receive 3 hours of college credit each semester through Southeastern Louisiana University. Students only receive honors credit at Archbishop Shaw High School if enrolled for DE credit.

Fall161 E College Algebra
Spring162 E Trigonometry

1 Unit – Grade Level 11
Prerequisite: Algebra II Honors; Departmental approval

Text(s):  MathXL College Algebra & Trigonometry by Sullivan

Course Description: The object of this course is to prepare the student for modern courses in calculus, abstract algebra, and probability. The first semester of this course will cover development and use of sets, the real number system, functions and graphs, exponential and logarithmic functions, systems of equations and inequalities, polynomial functions, complex numbers. The second semester will cover development and use of trigonometric functions, relations between functions, solutions of triangles with practical applications, trigonometric formulas and identities, radian measure, graphical representations of trigonometric functions, inverse trigonometric functions, trigonometric equations and applicable trigonometric word problems.MUST HAVE AN UNWEIGHTED GPA OF 2.5 A MINIMUM ACT MATH OF 19

Advanced Mathematics 2 DE - (University of Holy Cross)***FEE

FEEThe total cost for two semesters is \$300 for the 2021-2022 school year. Students will receive 3 hours of college credit for each semester of instruction through University of Holy Cross. This course may be taken for high school credit only. Students only receive honors credit at Archbishop Shaw High School if enrolled through University of Holy Cross.

Fall105 College Algebra
Spring106 Trigonometry

1 Unit – Grade Level 12
Prerequisite: Algebra II and Departmental approval

Text(s):  College Algebra and Trigonometry by Sullivan

Course Description: The first semester of this course will cover development and use of sets, the real number system, functions and graphs, exponential and logarithmic functions, systems of equations and inequalities, polynomial functions, complex numbers, matrices, determinants, and conic sections. The second semester will cover development and use of trigonometric functions, relations between functions, solutions of triangles with practical applications, trigonometric formulas and identities, radian measure, graphical representations of trigonometric functions, inverse trigonometric functions, trigonometric equations and applicable trigonometric word problems.
MUST HAVE AN UNWEIGHTED GPA OF 2.5, ACT MATH OF 19 AND COMPOSITE 19 (SENIORS MUST ALSO HAVE AN ACT ENGLISH OF 18)

Calculus DE(University of Holy Cross)***FEE

FEEThe total cost for the year long course is \$150 for the 2021-2022 school year. Students will receive 4 hours of college credit through University of Holy Cross. Students only receive honors credit at Archbishop Shaw High School if enrolled through University of Holy Cross.

1 Unit – Grade Level 12
Prerequisite: Pre-Calculus College Level; Departmental approval

Text(s):  Mathxlforschool Calculus and Applications by Lial; Supplement text: Calculus by Larson

Course Description: This course includes limits, continuity, the derivative, an introduction to the integral, and the methods of integration. Upon completion of the course, the student will be able to evaluate limits, differentiate polynomial and trigonometric functions, graph all functions, do related rate and maximal/minimal word problems, do basic integration, solve basic differential equations, and handle word problems which apply both definite and indefinite integration. MUST HAVE AN UNWEIGHTED GPA OF 2.5, ACT MATH OF 19 AND COMPOSITE 19 (SENIORS MUST ALSO HAVE AN ACT ENGLISH OF 18)