ACADEMICS

Departments

The Math Department focuses instruction so that students will:

- Use logical reasoning and problem solving for everyday life situations.
- Add, subtract, multiply, and divide rational numbers.
- Use methods of individual and collaborative problem solving and decision making.
- Use technology resources to research and solve problems.
- Recognize geometric shapes and understand the properties that apply to the shapes.

**1500 Pre-Algebra**

(Grade 9; 2 semesters; 1 credit)

Prerequisite: 8th grade standardized test scores and/or recommendation of teacher

Topics include computational skills in multiplication, division, subtraction, and addition. This course is taught with an intuitive approach to the study of these skills through problems related to everyday life activities and graphs. Also included is a basic study of probability and statistics using probability proportion. Students will work on developing their ability to estimate answers and measurements, as well as work with simple algebraic equations, metric systems, integers, fractions, decimals, equations, and inequalities.

**1501 Algebra I-B**

(Grades 9–10; 2 semesters; 1 credit)

Prerequisite: 8th grade standardized test scores

This course is an introduction to Algebra. Material is presented with more time for classroom help and review than Algebra I. Axioms and proofs are not included.

**1502 Algebra I-A**

(Grades 9-10; 2 semesters; 1 credit)

Prerequisite: 8th grade standardized test scores

This course is an introduction to Algebra. Topics covered are properties of real numbers, solving equations and inequalities, and systems of equations relations. Graphs, polynomials, factors and rational expressions, irrational numbers, radicals, and quadratic equations are also covered.

1503 Geometry B

(Grades 10-11; 2 semesters; 1 credit)

Prerequisite: Algebra I-A or Algebra I-B

This course is an introduction to a deductive mathematical system. To develop the power for such reasoning, the topics covered include spatial visualization, working with lines and figures in a plane, theorems, the relation of parallel and perpendicular lines, similar and congruent triangles, and the studying of these topics. Geometric constructions are created by using straight edge and compass.

**1504 Geometry A**

(Grades 9-11; 2 semesters; 1 credit)

Prerequisite: C average in Algebra I-A or in Algebra I-B with Instructor's approval

This course is an introduction to a deductive mathematical system. To develop the power for such reasoning, the topics covered include spatial visualization, working with lines and figures in a plane, theorems and their proofs, the relation of parallel and perpendicular lines, similar and congruent triangles, finding area and volume of three-dimensional figures, and the studying and proving of theorems on these topics. Geometric constructions by using straight edge and compass are also covered.

**1508 Algebra II B**

(Grades 11-12; 2 semesters; 1 credit)

Prerequisite: Completion of Algebra I-A or B and Geometry A or B

This course is designed to further students’ algebraic knowledge from Algebra I. Algebra II B stresses both the structure of algebra and the development of computational skills. Topics include linear functions and relations, systems of linear equations and inequalities, determinants, polynomials, rational expressions, radicals, irrational numbers, and exponents.

**1505 Algebra II A**

(Grades 10-12; 2 semesters; 1 credit)

Prerequisite: at least a B average in Geometry A, or special permission from Math instructor

This course is designed to further students’ algebraic knowledge from Algebra I. Students are introduced to the complex number system, exponential functions, logarithms, and trigonometry, as well as how to apply these concepts. Algebra II both stresses the structure of algebra and the development of computational skills. Topics include linear functions and relations, systems of linear equations and inequalities, determinants, polynomials, rational expressions, radicals, irrational numbers, exponents, trigonometric functions, identities, and formulas.

**1509 College Algebra**

(Grades 11-12; 2 semesters; 1 credit)

Prerequisite: Successful completion of Algebra II-A or Pre-Calc

Dual Credit though Lincoln University

College Algebra is a college level math course for seniors who wish to take their entry level college math course for dual credit. After completion of this course students will be ready to move on to Calculus I. Course content includes a thorough analysis of polynomial, rational, logarithmic, and exponential functions and their graphs. It also includes the study of trigonometric identities and applications, problem solving, matrices, solving equations within the complex number system, and solving systems of equations and inequalities.

1506 Pre-Calculus

(Grades 11-12; 2 semesters; 1 credit)

Prerequisite: C average in math and College Algebra, with Instructor’s signature

Pre-calculus is an introduction to mathematical analysis with additional study of ordered fields and math logic. Students will use of the principle of math induction in proofs and will be introduced to sequences and series--both finite and infinite. This course covers an advanced study of higher degree equations and functions and relations including different methods of equation-solving of upper degree functions. It further studies the exponential and logarithmic functions with a study of trigonometry.

**1512 AP Accelerated Pre-Calculus**

(Grades 11-12; 2 semesters; 1 credit)

Prerequisite: Math Instructor’s signature

Dual Credit through Lincoln University

Accelerated Pre-Calculus would include the topics taught in course 1506, as well as topics from Analytic Geometry such as a detailed analysis of lines, vectors, matrices, and conic sections. This course prepares students to take AP Calculus.

**1507 AP Calculus AB **

(Grade 12; 2 semesters; 1 credit; available for college credit)

Prerequisite: Pre-calculus, and/or Accelerated Pre-Calculus, and signature of the teachers of those courses.

Dual Credit through Lincoln University (5 hrs)

Advanced Placement Calculus AB is a college level mathematics course which prepares able seniors to take an Advanced Placement test in May. Most colleges and universities grant advanced placement and credit hours to students who have successfully completed the test. After completion of this course students will be able to move on to Calculus II. The course content includes properties of functions, limits including continuity, the derivative including the mean value theorem and applications, anti-derivatives and their applications, techniques of integration, the definite integral, and applications of the integral. This course is intended for students who want a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry (rectangular coordinates, equations and graphs, lines, and conics)

**1515 Math Analysis & Trigonometry**

(Grades 11-12; 2 semesters; 1 credit)

Prerequisite: Algebra I-A or I-B, Geometry A or B, and Algebra II-A or B

In this course, students will expand on the topics of Algebra II and learn about logic and sets, sequences and series, graphing, probability, statistics, exponential functions, logarithms, in-depth study of three-dimensional shapes, trigonometry, critical thinking and problem solving.

**1516 AP Calculus BC **

(Grade 12; 2 semesters; 1 credit; available for college credit)

Dual Credit through Lincoln University (10hrs)

Prerequisite: A grade of ‘C’ or higher in Accelerated Pre-calculus and signature by the Instructor of this course.

Advanced Placement Calculus BC is a college level mathematics course which prepares able seniors to take an Advanced Placement test in May. Most colleges and universities grant advanced placement and credit hours to students who have successfully completed the test. The course content includes properties of functions, limits (including continuity), the derivative (including the mean value theorem and applications), anti-derivatives and their applications, techniques of integration, the definite integral, applications of the integral, infinite series including Taylor Series, parametric equations, and polar equations. This course is intended for students who want a thorough knowledge of college preparatory mathematics including algebra, axiomatic geometry, trigonometry, and analytic geometry (rectangular, parametric, and polar coordinates, equations and graphs, lines, and conics).

College Credit Courses

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