# Mathematics

The math faculty boasts many years of teaching experience and dedication to Catholic education while ongoing professional development enables these teachers to continually fine-tune the learning environment. To prepare our students for the future the staff has developed a curriculum that intgrates various forms of technology coupled with traditional problem-solving strategies.

Althoff Catholic offers an 8th grade Algebra 1 Program to qualifying students in participating Catholic feeder schools. Students from these schools who complete the Algebra 1 Program in 8th grade and take four years of math while in high school will have five math credits on their Althoff Catholic transcript at graduation. Students who take algebra in 8th grade while attending a school that does not participate directly in Althoff Catholic's Algebra 1 Program may take our exam and, if he/she passes, the student will be registered for geometry and the algebra 1 requirement will be waived by Althoff Catholic. Such students will have four math credits on their Althoff Catholic transcript at graduation.

### Courses offered

#### ALG1 101 ALGEBRA 1 (Fr) NCAA All Year 1 credit

Prerequisite: 7th and 8th grade math scores, placement test score and teacher recommendation

This course will include: linear equations, functions, inequalities, exponents and exponential functions, quadratic functions and equations.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Homework, quizzes, tests, and exams.

#### ALG1 102 ACCELERATED ALGEBRA 1 (Fr) NCAA All Year 1 credit

Prerequisite: 7th and 8th grade math scores, placement test score and teacher recommendation

This course covers linear equations and functions, inequalities, systems, exponents, and exponential functions, radicals and radical functions, rational expressions and equations; as well as quadratic expressions, equations, and functions.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Quizzes, tests, and exams.

#### ALG1 103 HONORS ALGEBRA 1 (Fr) NCAA All Year 1 credit

Prerequisite: 7th and 8th grade average of "A" or "B" in math, placement test score and teacher recommendation.

This course covers all the elements of algebra 1 in greater depth and includes radical work related to geometry and trigonometry.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Quizzes, tests, and exams.

#### GEOM 201 GEOMETRY (Sophs) NCAA All Year 1 credit

Prerequisite: Completion of Algebra 1B, or completion of Algebra 1A with a grade lower than a B.

Students will learn to: recognize and understand concepts and terms from plane and solid geometry, apply postulates and theorems in proofs and problems, use perimeter, area and volume formulas, apply the Pythagorean Theorem and work with special right triangles, and do basic trigonometry involving right triangles. Algebraic skills will be used in solving geometric problems.

Student Activities: Note taking, projects, homework, and class participation.

Student Evaluation: Homework, quizzes, tests, and exams.

#### GEOM 202 ACCELERATED GEOMETRY (Sophs) NCAA All Year 1 credit

Prerequisite: Completion of Algebra 1 with an A, B, or C.

This course covers concepts from plane and solid geometry including application of postulates and theorems in proofs and problems, algebraic and two-column geometric proofs, triangle congruence, quadrilaterals, proportions & similarity, right triangles & trigonometry, polygons, circles, and transformations & symmetry. Measurement, unit conversion and algebra skills will be required in problem solving.

Student Activities: Note taking, homework, projects, and class participation.

Student Evaluation: Homework, quizzes, tests, projects, and exams.

#### GEOM 203 HONORS GEOMETRY (Fr, Sophs) NCAA All Year 1 credit

Prerequisite: Completion of Hon Algebra 1 with an "A" or "B", or Algebra 1 with an "A" and recommendation by the math teacher.

In addition to the material covered in Geometry, this course will study Geometry with greater depth. Logic is introduced and deductive thinking is emphasized through two-column proofs. Algebraic skills are stressed in solving geometric problems. The course includes an introduction to analytic geometry.

Student Activities: Note taking, projects, homework, and class participation.

Student Evaluation: Homework, tests, quizzes, and exams.

#### ALG2 301 ALGEBRA 2 (Jrs) NCAA All Year 1 credit

Prerequisite: Completion of Geometry B, or completion of Geometry A with a “C”, or “D”.

This course will include: linear, quadratic, polynomial, radical, exponential, logarithmic, and rational functions and relations. Graphing calculator technology is introduced in this course.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Homework, quizzes, tests, projects and exams.

#### ALG2 302 ACCELERATED ALGEBRA 2 (Sophs, Jrs) NCAA All Year 1 credit

Prerequisite: Completion of Geometry with an “A”, “B”, or “C”.

This course will include: Linear, quadratic, polynomial, radical, exponential, logarithmic, and rational functions and relations as well as conic sections. Graphing calculator technology is fully integrated throughout this course.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Homework, quizzes, tests, projects, and exams.

#### ALG2 303 HONORS ALGEBRA 2 (Sophs, Jrs) NCAA All Year 1 credit

Prerequisite: Completion of Geometry A with an “A” and recommendation of math teacher, or Honors Geometry with an “A” or “B” and recommendation of math teacher.

In addition to the material covered in Algebra 2A, this course will cover linear programming, series and sequences, and probability. Word problems and essay writing are fully integrated throughout the course.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Homework, quizzes, tests, projects, and exams.

#### AL&TR 401 INTERMEDIATE ALGEBRA AND TRIGONOMETRY (Jrs, Srs) NCAA All Year 1 credit

Prerequisite: Completion of Algebra 2B, or completion of Algebra 2A with a “D”.

This course is designed to further develop algebraic skills before College Algebra. This course covers Algebra for the first three quarters and trigonometry for the fourth quarter.

Student activities: Note taking, homework, tests, quizzes and class participation.

Student evaluation: Homework, quizzes, tests, and exams.

#### TRIG 412 TRIGONOMETRY (Jrs, Srs) NCAA SEM 1 .5 credit

Prerequisite: Completion of Algebra 2A with an “A”, “B”, or “C”.

This course will include the definition of trigonometry and circular functions, how to find both sides and angles of right and oblique triangles, how to prove and simplify trigonometry functions, graphing the six trigonometry functions, usage of the Laws of Sines and Cosines, and half, double and composite angle formulas.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Quizzes, tests, and exams.

#### TRIG 413 HONORS TRIGONOMETRY (Jrs, Srs) NCAA SEM 1 .5 credit

Prerequisite: Completion of Hon Algebra 2 with an “A” or “B” and recommendation of math teacher, or Algebra 2 with an “A” and recommendation of teacher.

All material covered in Trigonometry will be included in this course. Real world applications will be stressed.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Quizzes, tests, and exams.

#### COLAL 422 COLLEGE ALGEBRA (Jrs, Srs) NCAA SEM 2 .5 credit

Prerequisite: Completion of Algebra 2A with an “A”, “B”, or “C”.

This course will provide the essential concepts and skills of algebra and the study of functions that are needed for further study in mathematics. Topics include: linear, quadratic, exponential, logarithmic, rational functions; conic sections, matrices, graphing, sequence and series and probability.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Quizzes, tests, and exams.

#### COLAL 423 HONORS COLLEGE ALGEBRA (Jrs, Srs) NCAA SEM 2 .5 credit

Prerequisite: Completion of Hon Algebra 2 with an “A” or “B” and recommendation of math teacher, or Algebra 2A with an “A” and recommendation of teacher.

This course will include all the material in College Algebra, but a special emphasis is given to the preparation for the study of higher mathematics. Topics include: conic sections, graphing, linear programming, functions and matrices.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Tests, quizzes, and exams.

#### PCAL 402 PRE-CALCULUS (Srs) NCAA All Year 1 credit

Prerequisite: Completion of Trigonometry and College Algebra and recommendation of math teacher.

This course will include intense function graphing, a quick trigonometry review and a survey of beginning calculus. The presentation of these topics develops an intuitive base and some of the tools for the study of more advanced mathematics.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Homework, tests, quizzes, and exams.

#### CALC 403 HONORS CALCULUS (Srs) NCAA All Year 1 credit

Prerequisite: Completion of Honors Trigonometry and Honors College Algebra with an “A” or “B” and recommendation of math teacher.

In this course the students will learn differential and integral calculus and its applications in business and science. Topics such as domain and range, limits of functions, graphs, exponential and logarithmic functions are also included.

Student Activities: Note taking, homework, and class participation.

Student Evaluation: Quizzes, tests, and exams.