Mathematics Teachers

Page Updated: August 24, 2018

Mrs. Amanda Bariana

E-Mail: abariana@nlsd.org

**Click here**for a list of American High School Mathematics Exam (AHSME) winners from NLHS!

**Courses Offered:**

Prerequisite: 8th grade Pre-Algebra; also considered is PSSA scores and teacher recommendation - Meets Daily - 1.0 Credit

Due to the increase demands by the core curriculum and in order to prepare students for the Algebra I Keystone Exam, the Algebra I curriculum will be split into separate courses. Algebraic Concepts will be the first course offered. Note: Students who are scheduled for this course will automatically be scheduled for Algebra IA and Algebra IB.

Units covered: Foundations for Algebra, Solving equations, Solving Inequalities, Data Analysis.

Units covered: Foundations for Algebra, Solving equations, Solving Inequalities, Data Analysis.

Prerequisite: Algebraic Concepts - Meets Daily - 1.0 Credit

Due to the increased demands put in place by the Core Curriculum and in order to prepare students for the Algebra I Keystone Exam, Algebra I will be split into two separate courses. NOTE: Students who are scheduled for Algebraic Concepts will also take Algebra IA in lieu of an elective during their 9th grade year. They will then take Algebra IB in the fall of their 10th grade year.

Units covered in these courses are: Equations & Inequalities, Graphing Linear Equations, Systems of Equations, Polynomials, Rational Expressions, Square Roots, Quadratic Equations, and Data Analysis.

Units covered in these courses are: Equations & Inequalities, Graphing Linear Equations, Systems of Equations, Polynomials, Rational Expressions, Square Roots, Quadratic Equations, and Data Analysis.

Prerequisite: Algebra 1A - Meets Daily - 1.0 Credit

Due to the increased demands put in place by the Core Curriculum and in order to prepare students for the Algebra I Keystone Exam, Algebra I will be split into two separate courses. NOTE: Students who are scheduled for Algebra IA will automatically be scheduled for Algebra IB.

Units covered in these courses are: Equations & Inequalities, Graphing Linear Equations, Systems of Equations, Polynomials, Rational Expressions, Square Roots, Quadratic Equations, and Data Analysis.

Units covered in these courses are: Equations & Inequalities, Graphing Linear Equations, Systems of Equations, Polynomials, Rational Expressions, Square Roots, Quadratic Equations, and Data Analysis.

Prerequisite: 80% in Pre-Algebra; also considered is PSSA scores and teacher recommendation - Meets Daily - 1.0 Credit

Academic Algebra is recommended for any student who plans to further their education beyond high school. Some units covered in this course include: Linear equations; Graphing; Linear inequalities; Linear systems; Factoring; Fractional equations; Rational expressions; and Algebraic expressions (monomials, binomials, polynomials).

Prerequisite: Academic Algebra IA or 90% or better in Algebra IA, or teacher recommendation - Meets Daily - 1.0 Credit

Students will review and expand on the topics covered in Academic Algebra IA. Student will be introduced to new topics, which will provide a foundation for any advanced math courses in high school or college. This course is strongly recommended for any student who plans a college or university degree.

Some units covered in this course include: Linear equations and Inequalities; Imaginary Numbers; Absolute value involving equations and inequalities; Rational Expressions; Simplifying Polynomials; Distance and Slope; Quadratic Equations and Inequalities; Graphing Linear Equations; Using Formulas; Parallel and Perpendicular Lines; Radicals; and Systems of Equations.

Some units covered in this course include: Linear equations and Inequalities; Imaginary Numbers; Absolute value involving equations and inequalities; Rational Expressions; Simplifying Polynomials; Distance and Slope; Quadratic Equations and Inequalities; Graphing Linear Equations; Using Formulas; Parallel and Perpendicular Lines; Radicals; and Systems of Equations.

Prerequisite: 80% or better in 8th grade Algebra I, and/or teacher recommendation. - Meets Daily - 1.0 Credit

This course will expand on topics covered in Algebra I. Students will also be introduced to new topics which will provide a foundation for any advanced math courses in high school or college. This course is strongly recommended for students who excel in mathematics and/or intended on pursuing a career that requires a high level of mathematical skills.

Some Units covered in this course include: Linear Equations and Inequalities; Absolute value involving equations & inequalities; Simplifying Polynomials; Quadratic Equations and Inequalities; Using Formulas; Radicals; Imaginary Numbers; Radical Equations; Rational Expressions ; Complex Rational Expressions; Synthetic Division; Distance and Slope; Graphing Linear Equations; Parallel and Perpendicular Lines; Linear Functions; Systems of Equations; Dimensional Analysis; and Arithmetic and Geometric progressions and series.

Some Units covered in this course include: Linear Equations and Inequalities; Absolute value involving equations & inequalities; Simplifying Polynomials; Quadratic Equations and Inequalities; Using Formulas; Radicals; Imaginary Numbers; Radical Equations; Rational Expressions ; Complex Rational Expressions; Synthetic Division; Distance and Slope; Graphing Linear Equations; Parallel and Perpendicular Lines; Linear Functions; Systems of Equations; Dimensional Analysis; and Arithmetic and Geometric progressions and series.

Prerequisite: Algebra I and/or teacher recommendation - Meets Daily - 1.0 Credit

Academic Geometry (15303)

Prerequisite: 80% in Algebra 1B, or 8th grade Algebra I - Meets Daily - 1.0 Credit

Geometry is recommended for students anticipating a formal education beyond high school. It includes the study of both plane and solid figures. Emphasis is placed on logical and sequential development of geometric ideas.

Some units covered in this course include: Basic vocabulary; Postulates; Proofs of theorems; Constructions; Parallel lines; Problem solving using ideas of congruency; Problem solving using ideas of similarity; A study of circles; A study of polygons; Areas-surface areas-volumes; and A study of solids.

Some units covered in this course include: Basic vocabulary; Postulates; Proofs of theorems; Constructions; Parallel lines; Problem solving using ideas of congruency; Problem solving using ideas of similarity; A study of circles; A study of polygons; Areas-surface areas-volumes; and A study of solids.

Prerequisite: A 90% or better in Algebra I or II or 80% in Honors Algebra II - Meets Daily - 1.0 Credit

This course will cover all of the topics in Geometry. The course will cover the topics in greater depth with more emphasis on proofs, applications, using technology and real life. Geometry is recommended for students anticipating a formal education beyond high school. It includes the study of both plane and solid figures.

Some Units covered in this course include: Geometry vocabulary; Proofs of Theorems; Parallel lines; Problem solving using ideas of similarity; a study of circles; Areas-surface areas-Volumes; Postulates; Constructions; Problem solving using ideas of congruency; a study of Polygons; and A study of solids.

Some Units covered in this course include: Geometry vocabulary; Proofs of Theorems; Parallel lines; Problem solving using ideas of similarity; a study of circles; Areas-surface areas-Volumes; Postulates; Constructions; Problem solving using ideas of congruency; a study of Polygons; and A study of solids.

Prerequisite: Geometry and Algebra IB and/or teacher recommendation - Meets Daily - 1.0 Credit

Academic Algebra II/Trigonometry (15307)

Prerequisite: 80% in Academic Geometry and Academic Algebra IB, or Honors Algebra II, or teacher recommendation - Meets Daily - 1.0 Credit

This course is designed for those students anticipating formal education beyond high school. Students contemplating a mathematics, science, or business-related field are urged to complete this course. The Math Department feels that a good background in algebra is essential for success in this course.

Some units covered in this course include: Pythagorean Theorem; The distance formula; The trigonometric functions; Radian and degree measure of angles; Laws of Sines and Cosines; Graphs of the trigonometric functions; Navigations; Linear Functions and Graphs; Trigonometric identities; Finding the line of best fit; Solving Right Triangles; Quadratic Functions and the Parabola; Amplitude, Period, Phase Shift; Relations and Functions; Values of Special Angles; Solving Oblique Triangles; and Exponents and Logarithms.

Some units covered in this course include: Pythagorean Theorem; The distance formula; The trigonometric functions; Radian and degree measure of angles; Laws of Sines and Cosines; Graphs of the trigonometric functions; Navigations; Linear Functions and Graphs; Trigonometric identities; Finding the line of best fit; Solving Right Triangles; Quadratic Functions and the Parabola; Amplitude, Period, Phase Shift; Relations and Functions; Values of Special Angles; Solving Oblique Triangles; and Exponents and Logarithms.

Prerequisite: 90% in Academic Geometry or 80% in Honors Geometry and a 90% in Algebra II or an 80% in Honors Algebra II - Meets Daily - 1.0 Credit

This course will cover all of the topics in Trigonometry. Trigonometry is recommended for students anticipating a formal education beyond high school. It includes the study of trigonometry, functions, relations and graphs.

Some Units covered in this course include: Pythagorean Theorem; Trigonometric function; Laws of Sines and Cosines; The distance formula; Radian and degree measure of angles; Identities; Graphs of trig functions; Right Triangles; Amplitude, Period and Phase Shift; Exponential and Logarithmic functions; Linear functions; Quadratic functions; Relations; Complex numbers; Inverse trigonometric functions; and Graphs of exponential, logarithmic, linear, quadratic, relations and inverse trig functions.

Some Units covered in this course include: Pythagorean Theorem; Trigonometric function; Laws of Sines and Cosines; The distance formula; Radian and degree measure of angles; Identities; Graphs of trig functions; Right Triangles; Amplitude, Period and Phase Shift; Exponential and Logarithmic functions; Linear functions; Quadratic functions; Relations; Complex numbers; Inverse trigonometric functions; and Graphs of exponential, logarithmic, linear, quadratic, relations and inverse trig functions.

Prerequisite: Algebra II/Trigonometry or Academic Algebra II/Trig - Meets Daily - 1.0 Credit

Introduction to Calculus is recommended for students who plan to continue their education beyond high school in a math-related field, but who do not feel they are ready for the calculus course. Students who enroll in this course should be proficient in algebra, geometry, and trigonometry. Introduction to Calculus will review and expand upon some trigonometric and algebraic concepts, and also introduce new concepts including limits of functions and trigonometric functions, conic sections, maximum and minimum problems and related rates.

Some units covered in this course include: Relations and Functions; Composite and Inverse Functions; Symmetry; Families of Graphs; Families of Graphs; Tangent to a Curve; Synthetic Division; Natural Logarithms; Sequences and Series; Limits; Derivative of a function; Area under a curve; The area between curves; and Definite integrals.

Some units covered in this course include: Relations and Functions; Composite and Inverse Functions; Symmetry; Families of Graphs; Families of Graphs; Tangent to a Curve; Synthetic Division; Natural Logarithms; Sequences and Series; Limits; Derivative of a function; Area under a curve; The area between curves; and Definite integrals.

Prerequisite: 85% in Algebra II/Trig. or Academic Algebra II/Trig, or 75% in Honors Trigonometry - Meets Daily - 1.0 Credit

Calculus is designed for the student preparing for higher education and training in engineering, science, or other mathematics-related field. The Mathematical Association of America and the National Council of Teachers of Mathematics recommend that the calculus course offered in the 12th grade should be treated as a college-level course. These same organizations recommend that students who enroll in a calculus course in secondary school should have demonstrated mastery of algebra, geometry, trigonometry, and coordinate geometry.

Some units covered in this course include: Conic Sections; Relative External; Functions; Graphs of Polynomial Functions; Limits; Continuity, concavity, and asymptotes; The derivative; The Mean Value Theorem; Velocity and Acceleration; Rolle’s Theorem; Product, quotient and chain rules; Optimization problems; Implicit Differentiation; Integration; Derivatives of Trig Functions; The definite Integral; Related Rates; and Area under a curve.

Some units covered in this course include: Conic Sections; Relative External; Functions; Graphs of Polynomial Functions; Limits; Continuity, concavity, and asymptotes; The derivative; The Mean Value Theorem; Velocity and Acceleration; Rolle’s Theorem; Product, quotient and chain rules; Optimization problems; Implicit Differentiation; Integration; Derivatives of Trig Functions; The definite Integral; Related Rates; and Area under a curve.

Please refer to the Dual Enrollment section of the Program Planning Guide

Primarily intended for students majoring in science, mathematics, or engineering. Topics include: data analysis, limits, differentiation, with applications (optimization and related rates), and integration. A graphing calculator is required.

Prerequisite: 85% Calculus, 80% LCCC Calculus/Analytical Geometry, or teacher recommendation - Meets Daily - 1.0 Credit

This course is designed to prepare students for the AP Calculus AB Exam to be given inMay. Students who have demonstrated mastery in algebra, geometry, trigonometry, and a previous Calculus course are eligible for this course. AP Calculus will follow the topics outline by the College Board, along with additional topics that the instructor deems fit to include. This course will move at a faster pace than the normal calculus course and require students to utilize and apply previously taught material. By doing this, the course will focus on AP Exam questions, material, and test preparation. Students enrolled in the course are expected to sit for the AP Calculus AB Exam in May.

Some units covered include: functions, graphs, limits, derivatives, integrals, and applications of integrals.

Some units covered include: functions, graphs, limits, derivatives, integrals, and applications of integrals.

Prerequisite: Honors Algebra II, Algebra IB, Academic Algebra IB - Meets Daily - 1.0 Credit

This course will offer to students the necessary information in order to work with introductory probability and statistics. Probability and statistics exist in almost every aspect of life and is easily applicable in areas such as sociology, business, ecology, and economics. This course will prepare students for the rigors of college mathematics.

Some units covered in this course include: The Need for Statistics; Probability Concepts; Problem-Solving Methodology; Probability Distractions; Averages; Sampling Concepts; Dispersions; Estimating Parameters; Descriptive Statistics: and Testing Hypotheses.

Some units covered in this course include: The Need for Statistics; Probability Concepts; Problem-Solving Methodology; Probability Distractions; Averages; Sampling Concepts; Dispersions; Estimating Parameters; Descriptive Statistics: and Testing Hypotheses.

Prerequisite: Juniors - Meets every other day - 0.5 Credit

This course is aimed at high school juniors who are planning on taking the SAT exam. Students will learn about the structure and scoring of the SAT exam. Practice SAT exams will be frequently used to gain familiarity with both multiple choice and student-produced response questions. Critical math material needed for the exam will be reviewed by instructors.