Mathematics Course Descriptions and Prerequisites

ADVANCED MATH CP
CRS 08328 Grades 11-12 CR 1 S 1 block
PREREQUISITE: C average in Trigonometry CP
This course stresses a functions approach and the use of graphing calculators. Topics include the graphs and transformations of polynomial functions theory of equations, analysis of elementary functions, exponential functions, logarithmic functions, conic sections, probability and combinatorics, matrices, vectors, and sequence and series. This course completes the foundation for the study of Calculus.
Note: Upon completion of this course, students are prepared to take the Math SAT II level II-C exam.

ADVANCED MATH H
CRS 08330 Grade 11-12 CR 1 S 1 block
PREREQUISITE: C average in Trigonometry Honors or recommendation of the Trigonometry CP teacher.
This course stresses a functions approach and the use of graphing calculators. Topics include the graphs and transformations of polynomial functions, analysis of elementary functions, exponential functions, logarithmic functions, conic sections, probability, combinatorics, sequence and series, matrices and vectors. This course provides a foundation for the study of Calculus.
Note: Upon completion of this course, students are prepared to take the Math SAT II level II-C exam.

ALGEBRA 1-A CP
CRS 08312 Grade 9 CR 1 S 1 block
PREREQUISITE: Recommendation of 8th grade math teacher. Please review note below.
This course is the first half of Algebra 1. Applications, equations and graphs are emphasized. Topics include: connections to algebra, properties of real numbers, solving linear equations, graphing linear equations and functions, writing linear equations, and solving and graphing linear inequalities.
Note: This course is currently offered at the Rochester Middle School. Students receiving a D in
Algebra 1A CP are advised to elect Math Connections 1A.

ALGEBRA 1-B CP
CRS 08295 Grades 9-10 CR 1 S 1 block
PREREQUISITE: Recommendation of 8th grade math teacher or passing grade in Algebra 1-A CP AT.
This course is the second half of Algebra 1 CP. Applications, equations and graphs are emphasized.
Topics include: systems of linear equations and inequalities, exponents and exponential functions, quadratic
equations and functions, polynomials and factoring, radicals and connections to geometry.
Note: Students are recommended for Algebra 1 B CP by their eighth grade math teacher after successful completion of Algebra 1A CP. A grade of C in Algebra 1-B CP is the prerequisite for Chemistry CP. Students receiving a D in Algebra 1 B CP are advised to elect Math Connections 1B AT.

ALGEBRA 1 H
CRS 08284 Grade 9 CR 1 S 1 block
PREREQUISITE: Recommendation of 8th grade math teacher.
This course is an integrated approach to Algebra 1. Structure and method are emphasized. Topics include: equations and inequalities, factoring, linear systems of equations, irrational numbers, quadratic equations, the Cartesian plane and an introduction to probability and statistics.
Note: Students are recommended for Algebra 1 H and Geometry H by their eighth grade math teacher after successful completion of Algebra 1A CP. Both courses should be elected in the freshman year.

ALGEBRA 2 CP
CRS 08314 Grades 10-11 CR 1 S 1 block
PREREQUISITE: C average in both Geometry CP and Algebra 1-B CP.
This course emphasizes the use of graphing calculators. Topics include properties and structure of the complex number system, solution of first and second degree equations and inequalities, factoring, polynomial operations, systems of equations and inequalities, rational and irrational numbers, quadratic theory, functions, matrices, polynomial, exponential and logarithmic equations.
Note: A “C” in Algebra 2 CP is the prerequisite for Physics CP. Students receiving a D in Algebra 2 CP are advised to elect Math Connections 3A AT.

ALGEBRA 2 H
CRS 08316 Grades: 10-11 CR 1 S 1 block
PREREQUISITE: C average in Algebra 1 Honors and Geometry Honors
Topics include: properties and structure of the complex number system, solution of first and second degree equations and inequalities, factoring, polynomial operations, systems of equations and inequalities, rational and irrational numbers, quadratic theory, functions, variation, logarithms, sequences and series, binomial expansion, and theory of equations.
Note: Algebra 2 Honors is the prerequisite for Trigonometry Honors.

CALCULUS AP
CRS 08324 Grades 12 CR 1 S 1 block
PREREQUISITE: C average in Advanced Math Honors.
Advanced Placement Calculus is a nationally standardized course. Spaulding High School strictly adheres to the College Board AP Calculus AB syllabus. The AP Calculus AB exam is taken in May (a fee is required for the exam). Topics include: analysis of graphs, limits of functions, asymptotic and unbounded behavior, continuity as a property of functions, concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of derivatives, computation of derivatives, interpretations and properties of definite integrals, applications of integrals, fundamental theorem of calculus, techniques of antidifferentiation, applications of antidifferentiation, and numerical approximations to definite integrals. The Calculus is approached from numerical, graphical and symbolic points of view.

CALCULUS RUNNING START CP
CRS 08320 Grade 12 CR 1 S 1 block
PREREQUISITE: C average in Advanced Math CP.
This course is an introduction to calculus. Topics covered include the concept of a limit, computing limits, the derivative, applications of the derivative, the integral, and applications of the integral. This course covers the topics included in Calculus 425 offered at the University of New Hampshire.
Note: This is a Running Start Course and students can receive college credit see page 38.

CONSUMER MATH AT
CRS 08305 Grades: 10-12 CR 1 S 1 block
PREREQUISITE: Passing grade in Math Connections 1-B AT.
This calculator-based course stresses applications of arithmetic in the areas of consumer and career math to include budgeting, banking, credit, and taxes.

FUNDAMENTAL MATH AT
CRS 08319 Grades: 9-10 CR 1 S 1 block
Prerequisite: teacher recommendation
This course is a Standards based approach designed for students not ready to begin Math Connections 1A. Math Scape Course 3 provides the topics to be covered which include a review of arithmetic skills, an overview of statistical measures, scatter plots, probability, measuring and estimating, distance – time graphs and using graphs to solve problems.

GEOMETRY CP
CRS 08313 Grades 9-10 CR 1 S 1 block
PREREQUISITE: A “C” average in Algebra 1-B CP or recommendation of the Algebra 1 Honors teacher.
Traditional Euclidean Geometry is studied with emphasis on structure, method and formal proof. Topics include: lines and angles, parallel lines and planes, congruent triangles, similar triangles, right triangles, circles, area of plane figures, area and volume of solids and construction.
Note: Students receiving a D in Geometry CP are advised to elect Math Connections 2A AT.

GEOMETRY H
CRS 08317 Grades 9-10 CR 1 S 1 block
PREREQUISITE: Recommendation of 8th grade math teacher or Algebra 1-B CP teacher.
Traditional Euclidean Geometry is studied with emphasis on structure and formal proof. Topics include: logic and set theory, lines and angles, parallel lines and planes, congruent triangles, similar triangles, right triangles, circles, area of plane figures, area and volume of solids, locus and construction and transformations.
Note: Students are recommended for Algebra 1 H and Geometry H by their eighth grade math teacher after successful completion of Algebra 1A CP. Both courses should be elected in the freshman year.

MATH CONNECTIONS 1-A
CRS 08307 Grades 9-12 CR 1 S 1 block
Prerequisite: 8th grade math teacher or Fundamental Math teacher recommendation or a D average in Algebra 1A CP.
A Standards Based approach which connects experiences with mathematics and relates these experiences to everyday life. Course 1-A begins and ends with data analysis. Students will utilize the linear regression feature of a graphing calculator to forecast after first mastering the algebra of first degree equations and the coordinate geometry of the straight line.
Note: Students that successfully complete Math Connections 1-A and 1-B will have covered the concepts of Algebra 1.

MATH CONNECTIONS 1-B
CRS 08304 Grades 9-12 CR 1 S 1 block
Prerequisite: Passing grade in Math Connections 1-A or a D average in Algebra 1B CP.
A Standards Based approach which connects experiences with mathematics and relates these experiences to everyday life. This course expands on the ideas learned in course 1-A. Students learn to solve linear equations in two unknowns. Functional relationships in everyday life are linked with algebra, coordinate geometry, discrete math and probability. Note: Students that successfully complete Math Connections 1-A and 1-B will have covered the concepts of Algebra 1.

MATH CONNECTIONS 2-A
CRS 08321 Grades 10-12 CR 1 S 1 block
Prerequisite: Passing grade in Math Connections 1-B or a D average in Geometry CP.
A Standards Based approach which connects experiences with mathematics and relates these experiences to everyday life. Algebraic ideas from course 1-A and 1-B are elaborated by using geometric interpretations.
Similarity, angular measure and right triangle trigonometry are explored.
Note: Students that successfully complete Math Connections 2-A and 2-B will have covered the concepts of Geometry.

MATH CONNECTIONS 2-B
CRS 08322 Grades 10-12 CR 1 S 1 block
Prerequisite: Passing grade in Math Connections 2-A.
A Standards Based approach which connects experiences with mathematics and relates these experiences to everyday life. Circles and spatial relationships are expanded to three dimensions. Coordinate geometry is
used to connect the spatial world to tools of Algebra.
Note: Students that successfully complete Math Connections 2-A and 2-B will have covered the concepts of Geometry.

MATH CONNECTIONS 3-A
CRS 08329 Grade 11-12 CR 1 S 1 block
PREREQUISITE: Passing grade in Math Connections 2B or a D average in Algebra 2 CP.
A Standards Based approach which connects experiences with mathematics and relates these experiences to everyday life. Topics include matrices, algebraic functions, transformations and inverses; exponential and logarithmic functions; and introductory trigonometric functions.
Note: Students that successfully complete Math Connections 3A will have covered concepts of Algebra 2.

TRIGONOMETRY AT
CRS 08311 Grade 12 CR 1 S 1 block
PREREQUISITE: C in Algebra 2 AT or passing grade in Algebra 2 CP.
This course is an informal approach to Trigonometry. Topics include: definition of trig functions, applications with right and oblique triangles, rectangular and polar graphs, identities, inverse functions, trig equations, and complex numbers.
Note: Trigonometry AT does not prepare students for Calculus. Students intending to elect Calculus in college are urged to elect Trigonometry CP and Advanced Math CP.

TRIGONOMETRY CP
CRS 08326 Grade 11, 12 CR 1 S 1 block
PREREQUISITE: C+ average in Algebra 2 CP or Math Connections 3A.
This course stresses a functions approach and the use of graphing calculators. Topics include: definitions, identities, equations, graphs, applications, inverse functions, functions of several angles, law of sines, law of cosines, polar coordinates and graphs, trig form of complex numbers and DeMoivre's Theorem.
Note: Students planning on a math-related career or who plan on taking Calculus in college are urged to elect both Trigonometry CP and Advanced Math CP. Students planning to take Calculus CP Running Start must elect this course in their junior year.

TRIGONOMETRY H
CRS 08331 Grade 11-12 CR 1 S 1 block
PREREQUISITE: C average in Algebra 2 Honors or recommendation of the Algebra 2 CP teacher.
This course stresses a functions approach and the use of graphing calculators. Topics include: definitions, identities, equations, graphs, applications, inverse functions, law of sines, and law of cosines. Additional topics include trig form of complex numbers, DeMoivre’s Theorem and vectors.