Mount St. Mary Academy
Mathematics Department

ALGEBRA I
CREDITS: 1
OPEN TO:  GRADE 9

PREREQUISITE:  DEPARTMENT RECOMMENDATION

 

Algebra I  is a first year comprehensive course that includes the skills necessary for success in future math courses.  Topics covered include: fundamentals of algebra; solving linear, absolute value, and quadratic equations in one variable; graphing linear, absolute value, and quadratic equations in two variables; simple and compound linear inequalities and absolute value inequalities in one variable; systems of linear equations and inequalities; laws of exponents; polynomials and factoring; rational expressions; radical expressions; and problem solving.  A TI-Nspire CX (not CAS model) graphing calculator is required.

 

HONORS ALGEBRA I
CREDITS: 1
OPEN TO:  GRADE 9

PREREQUISITE:  DEPARTMENT RECOMMENDATION

 

Honors Algebra I is a comprehensive course taught at a pace and depth necessary for success in honors math courses.  Topics covered include: solving linear, absolute value, and quadratic equations in one variable; graphing linear, absolute value, and quadratic equations in two variables; simple and compound linear inequalities and absolute value inequalities in one variable; systems of linear equations and inequalities; laws of exponents; polynomials and factoring; rational expressions and equations; radical expressions and equations; data analysis. probability; and problem solving.  A TI-Nspire CX (not CAS model) graphing calculator is required.

 

GEOMETRY
CREDITS: 1
OPEN TO:  GRADE 9- 10

PREREQUISITE:  AN ALGEBRA I COURSE AND DEPARTMENT RECOMMENDATION

 

Geometry is a comprehensive course that explores the properties of two- and three- dimensional figures, with limited exposure to formal proof writing.  Topics covered include: points, lines, planes, segments and angles, coordinate geometry, transformations, inductive and deductive reasoning, parallel and perpendicular lines, properties and attributes of triangles, polygons, special quadrilaterals, congruent and similar figures,  right triangles and basic trigonometry, circles, area of plane figures, and volume and surface area of solid figures.   A TI-Nspire CX (not CAS model) graphing calculator is required.

 

HONORS GEOMETRY
CREDITS: 1
OPEN TO: GRADES 9-10

PREREQUISITE: HONORS ALGEBRA I AND DEPARTMENT RECOMMENDATION

 

Honors Geometry is a comprehensive course exploring the properties of two- and three- dimensional figures taught at a pace and depth necessary for success in Honors Precalculus and Advanced Placement math courses. This course more fully develops the concepts of proofs and proof writing techniques.  Topics covered include: polygons, special quadrilaterals, similar figures, Pythagorean Theorem, special right triangles, trigonometry, circles, perimeter, and area of polygons, surface area and volume of regular three-dimensional figures, and transformations. A TI-Nspire CX (not CAS) graphing calculator is required.

 

HONORS ALGEBRA II
CREDITS: 1
OPEN TO:  GRADES 9-11

PREREQUISITE: HONORS ALGEBRA I AND DEPARTMENT RECOMMENDATION OR A GEOMETRY COURSE AND DEPARTMENT RECOMMENDATION  

 

Honors Algebra II is a comprehensive course taught at a pace and depth necessary for success in  Honors Precalculus and Advanced Placement math courses.  Topics covered include: systems of linear equations and inequalities, matrices and determinants, quadratic equations, complex numbers, elementary and compound functions, powers, roots, and radicals, exponential and logarithmic functions, polynomial functions, rational functions, conic sections, elementary sequences and series, trigonometry, modeling, probability, and data analysis.  A TI-Nspire CX (not CAS model) graphing calculator is required.

 

ALGEBRA II
CREDITS: 1
OPEN TO:  GRADES 9-11

PREREQUISITE:  A GEOMETRY COURSE AND DEPARTMENT RECOMMENDATION

 

Algebra II  is a comprehensive course which approaches the study of algebra through functions and their applications.  The topics covered include: systems of linear equations and inequalities, matrices and determinants, probability, and basic statistics, quadratic functions, an introduction to complex numbers, polynomial functions, an introduction to the six trigonometric functions and the unit circle, radical functions, exponential and logarithmic functions, rational functions, modeling application word problems.  A TI-Nspire CX (not CAS model) graphing calculator is required.

 

ALGEBRA III
CREDITS:  1
OPEN TO: GRADE 11-12

PREREQUISITE: AN ALGEBRA II COURSE AND DEPARTMENT RECOMMENDATION

 

Algebra III is a fourth year comprehensive math course designed for students who have successfully completed Algebra II.  This course enhances the higher level thinking skills developed in Algebra II through a more in-depth study of those concepts and exploration of some pre-calculus concepts.  Students in Algebra III are challenged to increase their understanding of algebraic, graphical, and numerical methods to analyze, translate, and solve linear, quadratic, polynomial, rational, exponential, and logarithmic functions.  Modeling real world situations is an important part of this course.  Sequences and series are used to represent and analyze real world problems and mathematical situations.  Algebra III also includes a study of trigonometric functions, right triangles, and oblique triangles.  Matrices are explored by algebraic and technological methods.  Technology will be integrated where appropriate.  A TI-Nspire CX (non-CAS model) graphing calculator is required.

 

PRECALCULUS
CREDITS:  1
OPEN TO: GRADES 10-12

PREREQUISITE: AN ALGEBRA II COURSE AND DEPARTMENT RECOMMENDATION

 

Precalculus is an comprehensive course expanding upon the higher level thinking skills developed in Algebra II/Trigonometry.  Students will have an in-depth study of polynomial, rational, exponential and logarithmic functions.  This course also includes the study of right triangles, trigonometric functions, trigonometric identities, and oblique triangles.  Additional topics covered are systems of equations, vectors, conics, and sequences and series.  A TI-Nspire CX (non-CAS model) graphing calculator is required.

 

HONORS PRECALCULUS
CREDITS:  1
OPEN TO: GRADES 10 – 12

PREREQUISITE: HONORS ALGEBRA II AND DEPARTMENT RECOMMENDATION

 

Honors Pre-Calculus is a comprehensive course taught at a pace and depth necessary for success in Advanced Placement math courses.  Students will have an in-depth study of polynomial, rational, exponential, logarithmic, and piecewise functions.  This course also includes the study of right triangles, trigonometric functions, trigonometric identities, inverse trigonometric, and oblique triangles.  Additional topics covered are systems of equations, vectors, conics, introduction to limits, and sequences and series.  A TI-nSpire CX (non-CAS model) graphing calculator is required.  

 

AP STATISTICS
CREDITS:  1
OPEN TO: GRADES 11-12

RECOMMENDED PREREQUISITE: A PRE-CALCULUS COURSE OR HONORS ALGEBRA II AND DEPARTMENT RECOMMENDATION

 

The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students who successfully complete the course and AP examination may receive credit, advanced placement, or both for a one-semester introductory college statistics course. A TI graphing calculator is required for this course (not CAS).

*For weighted credit to be awarded, students must take the AP Exam in the spring and complete the course for the entire year.

*This course requires payment of an exam fee.

 

AP CALCULUS AB
CREDITS:  1
OPEN TO: GRADE 12

RECOMMENDED PREREQUISITE:  HONORS PRE-CALCULUS AND DEPARTMENT RECOMMENDATION

This course is equivalent to a first semester course of calculus on the college level.  AP Calculus introduces concepts involving limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus.  Students will learn how to approach concepts and problems when they are represented graphically, analytically, numerically, and verbally, and to make connections amongst their representations. Students who successfully complete the course and AP examination may receive credit, advanced placement, or both for a Calculus I course in college.  A TI graphing calculator is required for this course (not CAS).

*For weighted credit to be awarded, students must take the AP Exam in the spring and complete the course for the entire year.

*This course requires payment of an exam fee.