Mathematics

Department Head: Mrs. Amie Adams
 
DEPARTMENT OVERVIEW
 
The Teurlings Catholic Math Department seeks to fulfill two main goals: preparing students for college mathematics courses and helping students score well on the ACT exam.
 
The Mathematics section of the ACT contains sixty multiple-choice questions:
*Twenty-four questions dealing with pre-algebra and elementary algebra
*Eighteen questions dealing with intermediate algebra and coordinate geometry
*Fourteen questions dealing with geometry
*Four questions dealing with trigonometry
 
As a result, students at Teurlings are encouraged to take four years of mathematics courses and are required to complete Algebra I, Algebra II, and Geometry. Upper-level courses in Advanced Mathematics and Calculus are offered along with Math II, a course designed for college-bound students who have completed math graduation requirements but who need remediation work in Algebra and Geometry. In this area, students concentrate on making mathematical connections and using principles of mathematics to communicate, reason, and solve problems. Students complete projects requiring them to apply number systems, operations, and forms in real-world contexts.
 

MATH TRACKS CHART

TRACKS:

9TH:

10TH:

11TH:

12TH:

9th Grader who took Algebra I as an 8th Grader

Geometry

Algebra II

Advanced Math I/Precalculus

Calculus or Adv. Math II/Functions & Statistics**

9th Grade Algebra I Accelerated

Algebra I

Geometry and    Algebra II*

Advanced Math I/Precalculus

Calculus or Adv. Math II/Functions & Statistics**

9th Grade Algebra I

Algebra I

Geometry

Algebra II

Advanced Math I/Precalculus or Financial Math***

 

*Note: 10th grade students who wish to accelerate their progress in math may schedule Geometry and Algebra II concurrently.
** Note: Placement into the senior math course is dependent on the course taken in the junior year, the level of the course (regular or honors), the student’s grade in the junior course, and the student’s ACT or PLAN test scores.
***Note: Financial Math fulfills basic graduation requirements for the fourth math course, but does not meet TOPS, Core 4, or Board of Regents Admission Standards.
 

 

SENIOR MATH TRACKS

11th Grade Math Course

12th Grade Recommended Math Course

Algebra II, Grade of A, B, C

Advanced Math I/PrecalculuS

Algebra II Honors, Grade of A or B

Advanced Math I/Precalculus Honors

Algebra II Honors, Grade of C or D

Advanced Math I/Precalculus

Algebra II, Grade D or ACT/PLAN score less than 18

Financial Math (does not meet TOPS , Core 4, or  BESE Board entrance requirements)

Advanced Math I/Precalculus, Grade A, B, C

Advanced Math II/Functions and Statistics

Advanced Math I/Precalculus Honors

Calculus Honors

Advanced Math I/Precalculus Honors, Grade C or D

Advanced Math II/Functions and Statistics

 


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.
 
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.
 
ALGEBRA II
 
This course is designed for students who have satisfactorily completed the requirements for Algebra I and Geometry and who plan to attend college upon graduation. This course satisfies college requirements for a 3rd year of college-prep math. 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.
 
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.
 
ADVANCED MATH I/PRECALCULUS
 
This course is for students who have completed Algebra II. The course prepares the student for college trigonometry and college algebra. The first semester is a study of linear equations and systems, matrices, polynomial and rational functions, inequalities, and logarithmic and exponential functions. The second semester is a study of trigonometric ratios, acute angles and right triangles, circular functions and graphs, solving triangles, identities and equations, inverse trigonometric functions, and polar graphs. The graphing calculator and computer software are used extensively throughout the course.
 
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 as Advanced Math I/Precalculus. In addition, the factor theory and synthetic substitution are studied. The second semester covers the same topics as in Trigonometry but in more depth. The graphing calculator and computer software are used extensively throughout the course. Applicants must meet honors program standards.
 
ADVANCED MATH II FUNCTIONS AND STATISTICS (Honors)
 
In this course, students continue the study of Advanced Math begun in Advanced Math I/Precalculus, with an emphasis on polynomial functions, trigonometric functions and equations, sequences, series, limits and rational functions and are introduced to the basics of statistics.
 
ADVANCED MATH II FUNCTIONS AND STATISTICS (DUAL ENROLLMENT)
 
In this course, students continue the study of Advanced Math begun in Advanced Math I/Precalculus, with an emphasis on polynomial functions, trigonometric functions and equations, sequences, series, limits and rational functions 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
 
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.