Academics

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Mathematics

Department Head: Mrs. 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
Become confident in their own ability
 
MATH PATHWAYS:

Pathway 1

Algebra I, Geometry, Algebra II, Advanced Math I
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(in 10th grade), Advanced Math I,  either Advanced Math II or Calculus as a Senior
*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.
 
 

SENIOR Math Course Prerequisites and Recommendations

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
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. 

*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 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.  

*Perquisite:  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.  

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

 

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