# Mathematics

### MATHEMATICS

**Department Head**: Amie Adams

**DEPARTMENT GOALS**

The Teurlings Catholic Math Department seeks to fulfill two main goals: preparing students for college mathematics courses and providing them with the tools to score well on the ACT exam. Using these tools, students will become mathematical problem solvers, learn to communicate mathematically, learn to reason mathematically, learn to value mathematics and become confident in their own ability.

**COURSE OFFERINGS**

__ALGEBRA I__The course is designed for students who have completed pre-algebra. Topics covered include expressions, equations, functions and their graphs, solving linear equations and inequalities, using proportional reasoning, analyzing linear equations, exploring polynomials, factoring, and solving quadratic equations. The TI-83 graphing calculator is used in the second half of the course.

__ALGEBRA I (HONORS)__The course is designed for students who have completed pre-algebra. Topics covered include expressions, equations, functions and their graphs, solving linear equations and inequalities, using proportional reasoning, analyzing linear equations, exploring polynomials, factoring, and solving quadratic equations. The TI-83 graphing calculator is used in the second half of the course. Applicants must meet honors program standards.

__GEOMETRY__This course is for students who have successfully completed Algebra I. It includes the study of lines, angles, perpendicular lines, and planes, polygons, congruency and similarity of polygons, special quadrilaterals, circles, areas of polygons and volumes of solids. Constructions using a straightedge and a compass are also studied.

*Prerequisite: Algebra I

__GEOMETRY (HONORS)__This course is for students who have excelled in Algebra I or Algebra I (Honors). The course includes all of the topics covered in regular geometry. In addition, proofs, coordinate geometry, right triangle trigonometry, and tessellations are studied. Applicants must meet honors program standards.

* Prerequisite: Algebra I

__ALGEBRA II__This course is designed for students who have satisfactorily completed the requirements for Algebra I and Geometry. This course satisfies university requirements for a 3rd year of college-prep math and prepares students for college upon graduation. Topics covered include sets, the field of real numbers, linear equations and inequalities in one variable, solving simultaneous two and three variable equations, functions and their graphs in the Cartesian coordinate system, quadratic equations and factoring, exponents, radicals, irrational and complex number systems, and polynomials.

*Prequisite: Algebra I and Geometry (or co-requisite of Geometry if following the Math Pathway 3 curriculum)

__ALGEBRA II (HONORS)__This course is opened to students who have satisfactorily completed the requirements for Algebra I or Honors or Geometry or Honors. This course is designed for mathematically capable students. This course is a study of equations and inequalities, graphs and functions, polynomials and factoring, rational expressions, irrational and complex numbers, quadratic equations and functions, systems of two and three equations, exponential and logarithmic functions. Emphasis is on solving word problems as applications of the above. The graphing calculator is used extensively throughout the course. Applicants must meet honors program standards.

*Prequisite: Algebra I and Geometry (or co-requisite of Geometry if following the Math Pathway 3 curriculum

__ALGEBRA III__This course is designed for students who have satisfactorily completed the requirements for Algebra I, Geometry, and Algebra II and who plan to attend college upon graduation. This course satisfies college requirements for a 3rd year of college-prep math. Topics reinforced will include the real number system, linear equations & inequalities, graphs of a line, exponents, polynomials, polynomial functions, factoring, rational expressions & functions, roots, radicals, root functions, quadratic equations & inequalities, function operation & composition, and polynomial & rational functions. New topics include inverse, exponential, & logarithmic functions, conic sections, trigonometric functions, acute angles, and right triangles.

__ADVANCED MATH I/PRECALCULUS__This course is for students who have completed Algebra II. The course prepares the students for college trigonometry and college algebra. The first semester is a study of trigonometric ratio, acute angles, right triangles, circular functions and graphs, solving triangles, identities and equations, inverse trigonometric functions and polar graphs. The second semester is a study of linear equations and systems, matrices, polynomial and rational functions, inequalities, logarithmic and exponential functions. The graphing calculator and MathXL are used extensively throughout the course.

*Prerequisite: Algebra II

__ADVANCED MATH I/PRECALCULUS (HONORS)__This course is for students who have excelled in Algebra II or Algebra II Honors. The emphasis is on preparing students for college calculus. The first semester covers the same topics in trigonometry but in more depth. The second semester covers the same topics as Advanced MathI/Precalculus. Applicants must meet honors program standards. The graphing calculator and MathXL are used extensively throughout the course.

*Prerequisite: Algebra II

__ADVANCED MATH II FUNCTIONS AND STATISTICS (Honors)__In this course, students continue the study of Advanced Math, begun in Algebra II, Advanced Math I/Precalculus, with an emphasis on rational exponents; rational expressions, radical expressions, complex numbers, miscellaneous equations, inequalities, functions, conics, graphs, inverse, exponential, logarithmic functions, applications of equations and inequalities, series, sequences, and are introduced to the basics of statistics. MathXL and scientific calculators are used extensively in this course.

*Prerequisite: Advanced Math I

__ADVANCED MATH II FUNCTIONS AND STATISTICS (DUAL ENROLLMENT)__In this course, students continue the study of Advanced Math, begun in Algebra II, Advanced Math I/Precalculus, with an emphasis on rational exponents; rational expressions, radical expressions, complex numbers, miscellaneous equations, inequalities, functions, conics, graphs, inverse, exponential, logarithmic functions, applications of equations and inequalities, series, sequences, and are introduced to the basics of statistics. To be eligible, students must have earned a 20 composite on the ACT with a sub score of a 22 on the Math section. In addition, students must have an English Act sub score of 18. MathXL and scientific calculators are used extensively in this course.

*Prerequisite: Advanced Math I

__CALCULUS (DUAL ENROLLMENT)__This course is for students who have successfully completed Advanced Math Honors. Following a review of pre-calculus, topics covered include functions, models, limits and derivatives, differentiation and applications, integrals and applications, and differential equations. The graphing calculator & computer software are used throughout the course. To be eligible to enroll, students must have earned a 20 composite on the ACT with a sub score of a 26 on the Math section. In addition, students must have an English Act sub score of 18.

*Prerequisite: Advanced Math I

__Math Pathways__**Pathway 1:**Algebra I, Geometry, Algebra II, and either Algebra III or Advanced Math I as a Senior

**Pathway 2:**(for students with Algebra I credit in 8th grade) Geometry, Algebra II, Advanced Math I, and either Advanced Math II or Calculus as a Senior

**Pathway 3:**(accelerated track for students without Algebra I credit in 8th grade, but wanting to take either Advanced Math II or Calculus as a Senior.) Algebra I, Geometry and Algebra II (both in 10th grade), Advanced Math I (as a Junior), and either Advanced Math II or Calculus as a Senior