# Course Description

## Graduation Requirements

Students must successfully complete 20 credits in mathematics. Students must complete all three (3) of the following courses: Algebra I, Geometry, Algebra II; and one (1) of the following courses: Statistics and Probability, AP Statistics, or Precalculus.

## Course Description: Mathematics

**Algebra I** *MA10211 (5 credits) *

**Honors Algebra I*** *MA10212 (5 credits) *

**Pre-AP Algebra I** *MA90011 (5 credits)*

Prerequisite(s): Successful completion of Grade 8 Mathematics or Pre-Algebra.

Algebra 1 is designed to deepen students’ understanding of linear, exponential, and quadratic relationships by emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Algebra II** *MA10411 (5 credits)*

**Honors Algebra II*** *MA10412 (5 credits)*

Prerequisite(s): Successful completion of Algebra 1 and Geometry; or successful completion of Algebra 1 and concurrent enrollment in Geometry.

Algebra II is designed to build on algebraic and geometric concepts. It develops advanced algebra skills such as systems of equations, advanced polynomials, imaginary and complex numbers, exponential, logarithmic, and trigonometric functions. Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Calculus** *MA10611 (5 credits) *

**AP Calculus**** *MA10512 (5 credits) *

Prerequisite(s): Successful completion of Precalculus

AP Calculus is designed to be the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. The course focuses on students’ understanding of calculus concepts and provides experience with methods and applications.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). Teacher must have completed the AP Summer Institute. ______________________________________________________________________________________________________________________________________

**Geometry** *MA10311 (5 credits)*

**Honors Geometry*** *MA10312 (5 credits) *

**Pre-AP Geometry with Statistics** *MA91011 (5 credits) *

Prerequisite(s): Successful completion of Algebra I

Geometry includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence, trigonometry, and analytic geometry. Emphasis is placed on developing critical thinking skills as they relate to logical reasoning and argument. Students are required to use different technological tools and manipulatives to discover and explain much of the course content.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Precalculus** *MA10511 (5 credits) *

**Honors Precalculus*** *MA10512 (5 credits) *

Prerequisite: Successful completion of Algebra II

Honors Precalculus introduces the foundations of analysis designed to precede a calculus or other advanced mathematics sequence with an emphasis on functions. Topics include functions, trigonometry, analytic geometry, and sequences and series. The foundations of calculus--lines tangent to a curve and the area under a curve--are embedded in each topic.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Statistics and Probability** *MA40111 (5 credits)*

Prerequisite: Successful completion of Algebra II

Statistics & Probability introduces students to the major concepts and tools for collecting, organizing, analyzing, presenting and drawing conclusions from data. Statistics lies at the heart of the type of quantitative reasoning necessary for making important advances in the sciences, such as medicine and psychology, and for making important decisions in business and public policy.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**AP Statistics**** *MA45013 (5 credits) *

Prerequisite: Successful completion of Algebra II with teacher recommendation

AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). Teacher must have completed the AP Summer Institute ______________________________________________________________________________________________________________________________________

*This course is graded on the Honors Grade Scale and requires teacher and/or parent recommendation. **This course is graded on the AP Grade Scale and requires teacher and/or parent recommendation.

______________________________________________________________________________________________________________________________________

## Course Description: Elective Courses (Math)

**Discrete Mathematics** *MA30111 (5 credits)*

Prerequisite: Successful completion of Grade 8 Mathematics or Pre-Algebra; and concurrent enrollment in Algebra I

Discrete Mathematics is designed to introduce students to the topics of graph theory. codes and ciphers, game theory, apportionment, and patterns. The course focuses on the uses of mathematics in environmental and economic decisions that dominate modern life.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Financial Algebra** *MA11411 (5 credits)*

Prerequisite: Successful completion of Geometry and Algebra II; or successful completion of Geometry and concurrent enrollment in Algebra II.

Financial Algebra is designed to connect algebra and problem-solving skills to the topics of investing, banking, credit, income taxes, insurance, and budgeting. The course prepares students for the mathematics they will frequently use in their daily life to make crucial financial decisions.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Linear Algebra** *TBD (5 credits) *

Prerequisite: Successful completion of Geometry and Algebra II; or successful completion of Geometry and concurrent enrollment in Algebra II.

Linear algebra is the study of linear systems of equations, vector spaces, and linear transformations. Solving systems of linear equations is a basic tool of many mathematical procedures used for solving problems in science, computer science, and engineering.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

**Math Applications and Problem-Solving** *TBD (5 credits) *

Prerequisite: Successful completion of Algebra 1; or successful completion of Grade 8 Mathematics or Pre-Algebra and concurrent enrollment in Algebra I.

Mathematical Problem Solving is designed to develop mathematical problem-solving strategies that can be used across mathematical disciplines. Problem-solving strategies include unit analysis, physical representations, and algebra.

Teacher must possess a Teacher of Mathematics Certificate (NJDOE Endorsement Code 1900). ______________________________________________________________________________________________________________________________________

*This course is graded on the Honors Grade Scale and requires teacher and/or parent recommendation. **This course is graded on the AP Grade Scale and requires teacher and/or parent recommendation.