Mathematics Courses Descriptions/Publishers

1200300 Pre-Algebra

Develops the skills necessary for success in Algebra I.  Topics include, but are not limited to, variables, number theory, equations, and inequalities, rational numbers, exponents, formulas, algebraic equations, and the Pythagorean theorem. This course does not meet the Algebra I requirement, or qualify as a math course for the FAS or FMS scholarships. This course is normally taken in the 7th or 8th grades. If used by a high school student, it is considered a remedial course.

1200310 Algebra I     Duplicate course Algebra IA & IB, Algebra I Honors

Provides the foundation for more advanced mathematics courses.  Topics shall include, but not be limited to, sets, variables, structure and properties of the real number system, first-degree equations/inequalities, relations, functions, polynomials, factoring, algebraic expressions, equalities, inequalities, graphs, systems of equations/inequalities, and rational algebraic expressions.

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1200320 Algebra I Honors     Duplicate course Algebra IA & IB, Algebra I

Provides a rigorous and in-depth study of Algebra I emphasizing deductive reasoning skills and including all the topics listed under Algebra I. This course is a graduation requirement.

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1200330 Algebra II     Duplicate course Algebra II Honors, Prerequisite: Algebra I

Continues the study of algebra.  Including, but not limited to, the review and extension of the structure and properties of the real number system, relations, functions and graphs, polynomials and rational expressions, irrational exponents, quadratic equations/inequalities, functions, logarithms, complex numbers, and word problems. This course or Algebra II Honors is a graduation requirement for all students who begin high school during the 2011-2012 academic school year or after.

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1200340 Algebra II Honors     Duplicate course Algebra II, Prerequisite: Algebra I

An in-depth study of the topics of Algebra II with emphasis on theory, proof and development of formulas and their application.  Topics include, but are not limited to, algebraic structure, 1st degree equations in one and two variable, solved algebraically and graphically, systems of equations and inequalities, functions and relationships, radicals, complex numbers. This course or Algebra II is a graduation requirement for all students who begin high school during the 2010-2011 academic school year or after.

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1200370 Algebra IA     Duplicate course Algebra I, Algebra I Honors

Must also take Algebra IB to meet Algebra I requirement. In combination with Algebra IB, provides the foundation for more advanced mathematics courses.  Topics shall include, but not be limited to, sets, variables, structure and properties of the real number system, first-degree equations/inequalities, relations, functions, polynomials, factoring, algebraic expressions, equalities, inequalities, graphs, systems of equations/inequalities, and rational algebraic expressions.

1200380 Algebra IB     Duplicate course Algebra I, Algebra I Honors

Must also have taken Algebra IA to meet Algebra I requirement. In combination with Algebra IB, provides the foundation for more advanced mathematics courses.  Topics shall include, but not be limited to, sets, variables, structure and properties of the real number system, first-degree equations/inequalities, relations, functions, polynomials, factoring, algebraic expressions, equalities, inequalities, graphs, systems of equations/inequalities, and rational algebraic expressions.

1202300 Calculus

Provides a foundation for the study of college-level advanced mathematics.  Topics shall include, but not be limited to, elementary functions, hyperbolic functions, limits and continuity, derivatives, differentiation, including partial differentiation, applications of the derivative, and application of the integral.

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1202310 Advanced Placment Calculus AB

Students must take the Advanced Placement Exam in order to receive Advanced Placement credit and possible College credit.

This course is designed to prepare the student for the AP Calculus AB exam given each year in May.
An Advanced Placement (AP) course in calculus consists of a full high school year of work that is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning.
Most colleges and universities offer a sequence of several courses in calculus, and entering students are placed within this sequence according to the extent of their preparation, as measured by the results of an AP examination or other criteria.

• Review of Precalculus topics, including Trigonometry, Finding Limits Graphically and Numerically,
  Evaluating Limits Analytically, Continuity and One-Sided Limits, Infinite Limits, Differentiation, The Derivative and Tangent Line Problem, Basic Differentiation Rules and Rates of Change, The Product and Quotient Rules and Higher Order Derivatives, The Chain Rule, Implicit Differentiation
  Related Rates, Applications of Differentiation, Extrema on an Interval, Rolle's Theorem and the Mean Value Theorem, Increasing and Decreasing Functions and the First Derivative Test, Concavity and the Second Derivative Test, Limits at Infinity, Summary of Curve Sketching, Optimization Problems, Differentials and Linear Approximation, Integration, Antiderivatives and Indefinite Integration, Area, Riemann Sums and Definite Integrals, The Fundamental Theorem of Calculus, Average Value of a function and the Mean Value Theorem for Integrals, Integration by Substitution, Numerical Integration, The Integral as a Function, Logarithmic, Exponential, and Other Transcendental Functions., The Natural Logarithmic Function and Differentiation, The Natural Logarithmic Function and Integration, Inverse Functions, Exponential Functions:  Differentiation and Integration, Bases other than e and Applications, Inverse Trigonometric Functions and Differentiation, Differential Equations: Slope Fields, Differential Equations: Growth and Decay, Differential Equations: Separation of Variables, Applications of Integration, Area of Region between Two Curves, Volume: Disk Method, Basic Integration Rules, Integration Techniques, Indeterminate Forms and L'Hopital's Rule, AP Exam Review and Test Taking Tips and Practice

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1202320 Advanced Placment Calculus BC

Students must take the Advanced Placement Exam in order to receive Advanced Placement credit and possible College credit.

This course is designed to prepare the student for the AP Calculus BC exam given each year in May.
An Advanced Placement (AP) course in calculus consists of a full high school year of work that is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning.
Most colleges and universities offer a sequence of several courses in calculus, and entering students are placed within this sequence according to the extent of their preparation, as measured by the results of an AP examination or other criteria.

• Finding Limits Graphically and Numerically, Evaluating Limits Analytically, Continuity and One-Sided Limits, Infinite Limits,  Differentiation,  The Derivative and Tangent Line Problem,  Basic Differentiation Rules and Rates of Change, The Product and Quotient Rules and Higher Order Derivatives,  The Chain Rule,  Implicit Differentiation,  Logarithmic Differentiation,  Related Rates,  Applications of Differentiation, Extrema on an Interval, Rolle's Theorem and the Mean Value Theorem, Increasing and Decreasing Functions and the First Derivative Test, Concavity and the Second Derivative Test, Limits at Infinity, Summary of Curve Sketching, Optimization Problems, Differentials and Linear Approximation, Integration, Antiderivatives and Indefinite Integration, Area, Riemann Sums and Definite Integrals, The Fundamental Theorem of Calculus, Average Value of a function and the Mean Value Theorem for Integrals, Integration by Substitution, Numerical Integration, The Integral as a Function, Logarithmic, Exponential, and Other Transcendental Functions, The Natural Logarithmic Function and Differentiation, The Natural Logarithmic Function and Integration, Inverse Functions, Exponential Functions:  Differentiation and Integration, Bases other than e and Applications, Inverse Trigonometric Functions and Differentiation, Differential Equations: Slope Fields, Differential Equations: Euler’s Method, Differential Equations: Growth and Decay, Differential Equations: Logistic Equations, Differential Equations: Separation of Variables,  Applications of Integration, Area of Region between Two Curves, Volume: Disk Method, Arc length, Work, Basic Integration Rules, Integration by Parts, Integration using Partial Fractions, Indeterminate Forms and L'Hopital's Rule, Improper Integrals, Sequences, Series and Convergence, Integral Test and p-series, Comparison of Series, Alternating Series, Ratio and Root Test, Taylor Polynomials and Approximations, LaGrange Error, Power Series, Representation of Functions by Power Series, Taylor and Maclaurin Series, Plane Curves and Parametric Equations, Differentiation and Integration of Parametric Equations, Arclength of a curve described by parametric equations, Polar Coordinates and Polar Graphs, Area bounded by Polar Graphs, Vector-valued Functions, Differentiation and Integration of Vector-valued functions, Velocity and Acceleration: motion, Tangent and Normal Vectors, Arclength of a vector valued function, AP Exam Review and Test Taking Tips and Practice

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1202340 Pre-Calculus

Emphasizes the study of functions and other skills necessary for the study of calculus.

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1205370 Consumer Math

Applies computational skills to business related situations.  Topics shall include, but not be limited to, whole numbers, fractions, decimals, percents, measurements, and applications in business related situations such as payroll, banking, business records, and financial reports. This course does not meet the Algebra I requirement, or qualify as a math course for the FAS or FMS scholarships

1205500 Explorations In Math I

This is a remedial math course, for students who are not ready for Pre-Algebra or above. Provides experiences in problem solving, communications, reasoning, and connections in mathematics.  Topics shall include, but not be limited to, number and operation sense, estimation, measurement, ratios and proportions, graphs and statistics. This course does not meet the Algebra I requirement, or qualify as a math course for the FAS or FMS scholarships

1205510 Explorations In Math II

This is a remedial math course, for students who are not ready for Pre-Algebra or above. Provides experiences in problem solving, communications, reasoning, and connections in mathematics.  Topics shall include, but not be limited to, number and operation sense, estimation, measurement, ratios and proportions, graphs and statistics. This course does not meet the Algebra I requirement, or qualify as a math course for the FAS or FMS scholarships.

1205540 Business Math

Applies computational skills to business related situations.  Topics shall include, but not be limited to, whole numbers, fractions, decimals, percents, measurements, and applications in business related situations such as payroll, banking, business records, and financial reports. This course does not meet the Algebra I requirement, or qualify as a math course for the FAS or FMS scholarships.

1206310 Geometry     Duplicate course Geometry Honors

Study of Euclidean geometry, emphasizing proofs and skill in applying the deductive method to mathematical situations.  Including, but not be limited to, logic and reasoning, the study of lines, planes, angles, triangles, similarity, congruence, geometric inequalities, polygons and circles, area and volume, and constructions. This course or Geometry Honors is a graduation requirement for all students who begin high school during the 2010-2011 academic school year or after.

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1206320 Geometry Honors     Duplicate course Geometry

A rigorous in-depth study of Euclidean geometry including all topics listed in 1206310 Geometry with practice in separation properties, quadrilaterals, lines, topology, transformation and non-Euclidean geometry

1206330 Analytic Geometry      .5 credit

Provides students with the study of circular and trigonometric functions and their applications.  Topics shall include, but not be limited to, trigonometric identities graphs of trigonometric functions, inverses of circular functions, particular and general solutions of trigonometric equations, solution of right and oblique triangles and vectors.

1208300 Liberal Arts Math

This course is designed to give you the math tools to answer everyday questions. Equations, geometric relationships, and statistical probabilities are concepts that show how things work and how mathematics provides valuable tools for everyday living. 

Reinforces your existing algebra and geometry skills to learn solid skills with the algebraic and geometric concepts you’ll need for further study of mathematics.

1210320 Advanced Placment Statistics     Prerequisite: Algebra II "B" or higher

Students must take the Advanced Placement Exam in order to receive Advanced Placement credit and possible College credit.

This course is designed to prepare the student for the AP Statistics exam given each year in May.
An Advanced Placement (AP) course in calculus consists of a full high school year of work that is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning.
Most colleges and universities offer a sequence of several courses in calculus, and entering students are placed within this sequence according to the extent of their preparation, as measured by the results of an AP examination or other criteria.

• Dotplots, stemplots (back-to-back stemplots), histograms, cumulative frequency plots, and parallel boxplots, Center, shape, spread, clusters, gaps, outliers and other unusual features, Position using quartiles, percentiles, and standardized (z) scores, Boxplots (and modified) with the five number summary, Center and spread both within a group and between groups, Position of different distributions using standardization, Correlation and linearity, Least-squares regression lines, Transformations to achieve linearity (logarithmic and power), Marginal and joint frequencies for two-way tables, Conditional relative frequencies and determine association, Distributions in bar charts and residual plots, Populations, samples, and random selection, Sources of bias in sampling and surveys (undercoverage, voluntary response, including confounding variables, the placebo effect, and blinding), Sampling methods (simple random sampling, stratified random sampling, and cluster sampling), Treatments, control groups, experimental units, random assignments, and replication, Completely randomized designs, Different experimental designs (randomized block design, matched pairs design), Generalize results from collected data, Probability models, Long-run relative frequencies, Law of Large Numbers, Independence and disjoint, Conditional probability, Mean and standard deviation for sums and differences of independent random variables, Binomial and Geometrical distribution, finding the mean and standard deviation, Properties of the normal distribution as a model for measurements, Sampling distribution of a sample proportion and sample mean, Central Limit Theorem, Sampling distribution of a difference between two sample proportions and means, Conduct significance tests, Probabilities in Type I, Type II errors, and Power, Confidence intervals and significance tests of means (both 1 sample and 2 sample), Sample size for a desired margin of error, Confidence intervals and significance tests of proportions (both 1 sample and 2 sample), Determine sample size for a desired margin of error, Chi-squared goodness of fit and chi-squared test of independence, Assumptions for inference for regression or a linear regression test, Conduct significance tests for linear regressions, Useful language for symbolically modeling and thus simplifying and analyzing our world, Mathematics is a logical and objective means of analyzing and solving problems, Effective communication of mathematics is essential to its application, Analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns, Data must be collected according to a well-developed plan if valid information is to be obtained, Probability is the tool used for anticipating what the distribution of data should look like under a given model, Statistical inference guides decision making

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1211300 Trigonometry     .5 credit

Stresses the relationship between algebra, geometry, and trigonometry, preparing the student for calculus.  Including, but not limited to, straight lines, graphs and curve sketching, vectors, families of curves, and conic sections.

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