Mathematics

POG

PRE-ALGEBRA         1 CREDIT

Pre-Algebra is designed to give students the fundamental skills necessary to succeed in the Algebra 1 course.  Students will explore Real Numbers, Solving Multi-Step Equations and Inequalities, Writing Linear Equations, Graphing Linear Equations and Factoring. Students develop quantitative reasoning and problem-solving skills, and develop an awareness of the connection between mathematics and other disciplines by modeling real world situations. This course utilizes various learning and teaching styles.  

ALGEBRA IA (Honors option available)                                                                1 CREDIT EACH

Algebra IA is designed to provide a strong foundation of mathematical concepts and applications in order to prepare students for more advanced work in mathematics or science fields. Students develop quantitative reasoning and problem-solving skills, and develop an awareness of the connection between mathematics and other disciplines by modeling real world situations. This course utilizes various learning and teaching styles. Students are encouraged to be active learners by analyzing and interpreting given information and formulating conjectures. Students explore mathematics in individually and group-oriented activities and may use journal writing to develop the ability to understand and to communicate mathematical ideas effectively. An embedded honors option is available which will include studying additional topics independently with guidance and assessment. All students are expected to be independent learners and are encouraged to research problems and perform assignments at a higher level.


ALGEBRA IB (Honors option available)                                                                1 CREDIT EACH

Prerequisite: Algebra I part I or teacher recommendation.

Algebra IB continues the Algebra I standards where Algebra IA leaves off.  Once this course is completed, students will have successfully met all of the Algebra I standards and are ready for further study in mathematics.  An honors option is also available for this course.  

GEOMETRY                                                                                                      1 CREDIT Prerequisite:  Algebra IA/B

Geometry is designed to introduce students to the relationship between mathematics and the shapes in his/her surroundings.  The course uses an informal approach to the study of shapes, their size (i.e. measurement) and its application in practical ways to the solution of real-world problems.  This course emphasizes the learning of geometric properties in an experiential, hands-on approach through graphing, drawing, designing and paper folding. The course begins with the introduction of given facts and observations and by a process of inductive reasoning arrives at the body of geometric properties.  The course progresses from the introduction of the basic undefined terms of geometry (points, lines and planes) through a study of plane and solid figures to a study of elementary trigonometry.

GEOMETRY, Honors                                                                                                      1 CREDIT Prerequisite:  Algebra IA/B; Teacher recommendation.

Geometry Honors is a course designed to show students the relationship between mathematics and real-world applications in a very formal setting.  Writing proofs is an integral part of the course and allows students to develop the logical and sequential steps necessary to produce a finished product.  This course, although traditional in content, enables students to work collaboratively on many assignments. They learn to be educators as well as students through active participation.  This course uses a variety of manipulatives and constructions to strengthen students’ understanding of geometrical concepts. They also become aware of the interrelationship between algebra and geometry topics.  Students are strongly encouraged to pursue alternate methods of solving problems and are often asked, sometimes through journal writing, to explain solutions to problems solved by themselves or someone else.

ALGEBRA II (Honors option available)                                                                             1 CREDIT Prerequisite:  Algebra IA/B and Geometry

Algebra II relies heavily on the foundations and material presented in Algebra I.  One of the most important transferable concepts to be learned and practiced is problem solving (building academic stamina, perseverance, and developing strategies).  The topics to be studied include Absolute Value Equations and Inequalities; Piecewise Functions, Quadratic Functions and Factoring; Polynomials and Polynomial Functions; Rational Exponents and Radical Functions.  Graphing is embedded in all topics as is solving real world problems. Technology tools are taught and used in the context of the course. An embedded honors option is available which will include studying additional topics independently with guidance and assessment.

ADVANCED MATH  - Honors                                                                                        1 CREDIT              Prerequisite:  Algebra II and all prior prerequisites; Teacher recommendation.

Advanced Math will extend and reinforce Algebra and problem solving skills.  The topics include more complex Factoring, Solving Rational Equations, Exploring Exponential and Logarithmic Functions, Trigonometric Ratios and Functions with Applications.  Students need a high level of commitment, academic endurance and self-motivation in order to be successful in this course.

PRE-CALCULUS - Honors                  1 CREDIT     Prerequisite:  Advanced Math and all prior prerequisites; Teacher recommendation

Pre-Calculus is an honors level course designed to provide a strong foundation of pre-calculus concepts and applications in order to prepare students for more advanced work in mathematics and science at the post-secondary level.  Students deepen their quantitative reasoning and problem-solving skills, and develop an awareness of the connection between mathematics and other disciplines by modeling real world situations. This course utilizes various learning and teaching styles.  In addition to the traditional lecture technique, students are encouraged to be active learners by analyzing and interpreting given information and formulating conjectures. Students explore mathematics in individually and group oriented projects. This course makes use of technology to support and extend the teaching and learning of pre-calculus concepts.  Students need a high level of commitment, academic endurance and self-motivation in order to be successful in this course.

CALCULUS - Honors                                                                                                       1 CREDIT Prerequisite:  Pre-calculus and all prior prerequisites; Recommendation

Calculus is designed for students who want to continue their study in a rigorous mathematics course which will enhance their potential success in pursuing a science or mathematics oriented career.  Although this is not an advanced placement course, the material covered is that which is ordinarily covered in a regular college Calculus I course. The emphasis during the year is on understanding, not to get through a certain number of topics.  Throughout the year, greater understanding of topics covered in previous mathematics courses is stressed.  Much effort is made to analyze questions before answering them. Functions, inequalities and graphing concepts are examined on a much more abstract level than is done in algebra and geometry courses.  This course enables students to work collaboratively on many assignments and encourages them to question much of their own work. They develop hypotheses and test those using technology. Students need a very high level of commitment, academic endurance, and self-motivation in order to be successful in this course.

ADVANCED PLACEMENT CALCULUS (AB)                                                                        1 CREDIT Prerequisite:  Calculus and all prior prerequisites; Teacher Permission

Advanced Placement Calculus (AB) is a continuation of Calculus and is designed for students who plan to attend college and would like to earn college credit while at Belmont High School.  Calculus AB is primarily concerned with further developing the student’s understanding of the concepts of Calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus with concepts, results, and problems being expressed geometrically, numerically, analytically, and verbally.  The connections among these representations are also stressed. A passing grade on the national College Board AP exam may entitle students to college credit or waive taking a required college math course. Included in this course is a required paper addressing the importance of mathematics related topic. This paper consists of four areas: background information on the topic; who is given credit for discovering or inventing it; historical data of the time(s) in which it was discovered or invented; and interpretation by the student as to its importance.  Students will also give an oral presentation thus developing their communication skills. Students will need a very high level of commitment, academic perseverance, self-motivation, and be willing to put in extra study time in order to be successful in this course.

RS STATISTICS - Honors                                                                      1 CREDIT/3 CREDITS LRCC Prerequisite:  Algebra II and all prior prerequisites; Teacher Permission

Statistics is an introductory course in statistics and probability covers analysis of single and bivariate data, algebraic and graphical analysis, sample statistics, probability, probability distributions, sample variability, sample distributions, the Central Limit Theorem, estimation, and hypothesis testing.  Emphasis is on applications throughout the course.

RS QUANTITATIVE REASONING                  1 CREDIT/3 CREDITS LRCC   Prerequisite:  Algebra 1A/1B, Geometry and Algebra 2 or Foundations of College Math

Quantitative Reasoning is designed to expose the student to a wide range of general mathematics.  Problem Solving and Critical Thinking Skills - along with the use of technology - will be emphasized and reinforced throughout the course as the student becomes actively involved solving applied problems.  Topics to be covered include: Number Theory and Systems, Functions and Modeling, Finance, Geometry and Measurement, Probability and Statistics, and selected subtopics related to the student’s major field of study.

”TWO-TIER” Math Partnership with NH Community College System

FOUNDATIONS OF COLLEGE MATH  (Formerly Senior Math)             1 CREDIT Prerequisite:  Algebra I and Geometry

Foundations of College Math is a survey course, focusing primarily on the algebra skills needed to enter the workforce or post-secondary education.  Students will develop facility in simplifying and evaluating polynomial and rational expressions, as well as solve linear equations and inequalities, quadratic equations and systems of linear equations.  Emphasis will be placed on applying these skills in solving real world problems.



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