Mathematics courses at Springfield High School address the Vermont Grade Level Expectations and the Vital Results, along with preparing students for the New England Common Assessment Program, college entrance, and S.A.T. Exams. The Mathematics Department offers a wide range of upper level courses, such as; Statistics, Algebra III, Pre-Calculus, and College Board Certified A.P. Statistics and A.P. Calculus.

375 Math Lab

¼ elective credit
Open to: teacher recommendation
Prerequisite: none
Scheduled: individually

This course provides support for beginning high school students. Participants will be required to stay organized. In addition to supplementary help in High School Mathematics, participants will work on areas of deficit, identified by their NECAP scores and their primary math teacher. Participants will develop skill sets and gain confidence as they experience sustained success with math.

344 Algebra I (CP)

1 credit
Open to: grades 9-12
Prerequisite: none

This course provides the student with a strong foundation for High School mathematics. Problem solving and mastery are emphasized through whole class, small group, and individual explorations. In addition to algebra and functions, statistics and probability, Geometry and discrete mathematics concepts are developed. A scientific calculator is suggested.

354 Geometry (CP)

1 credit
Open to: grades 9-12
Prerequisite : credit of Algebra I
Scheduled: all year

Plane and solid geometries are explored. Geometric properties will be analyzed using deductive reasoning as well as formal and informal proof. Problem solving and mastery are emphasized through whole class, small group, and individual explorations. Topics covered include angles, parallel lines, triangles, quadrilaterals, polygons, similarity, circles, spheres, areas and volumes of geometric shapes. In addition, this course provides further development of statistics, probability, and discrete mathematics concepts. Trigonometry is introduced. Students are expected to have a scientific calculator.  

355 Geometry CATS (CP)

1 credit
Open to: grades 9-12
Prerequisite : credit of Algebra I
Scheduled: all year

In coordination with the Arts academy, plane and solid geometries are explored. Geometric properties will be analyzed using deductive reasoning as well as formal and informal proof. Problem solving and mastery are emphasized through whole class, small group, and individual explorations. Topics covered include angles, parallel lines, triangles, quadrilaterals, polygons, similarity, circles, spheres, areas and volumes of geometric shapes. In addition, this course provides further development of statistics, probability, and discrete mathematics concepts. Trigonometry is introduced. Students are expected to have a scientific calculator.

362A Algebra II A (CP)

1/2 credit
Open to: grades 10-12
Prerequisite: credit in Geometry or Integrated Math II

A brief review of Algebra I naturally extend to the following topics: equations in three variables, quadratic equations and functions, irrational numbers and polynomials. Students are expected to have a scientific calculator.

 

362B Algebra II B (CP)

1/2 credit
Open to: grades 10 - 12
Prerequisite: credit in 362A

Topics studied this term will include: complex numbers, triangle trigonometry, an introduction to circular functions and quadratic relations. Students are expected to have a scientific calculator.

 

  
333 Applied Algebra II

1 credit
Open to: grades 11-12
Prerequisite: permission of instructor (preference to RVTC enrolled SHS students)
Scheduled: all year

This course employs an interactive, applied approach to teaching advanced topics in high school mathematics. Students build upon their algebra and geometry foundations as they learn abstract concepts through concrete experience. This course is ideal for the technical center student who has completed Algebra I and Geometry or two years of an integrated high school level math program. Students are expected to have a scientific calculator.

361A Advanced Algebra II A (AC)

1/2 credit
Open to: grades 10-12
Prerequisite: teacher recommendation and credit in Geometry or Integrated Math II

This challenging option is specifically designed for the Advanced Placement intending student. A review of the real number system leads to the study of first and second degree equations in both one and two variables. Exponential and logarithmic functions will be introduced. Students are expected to have a scientific calculator.  

 

361B Advanced Algebra II B (AC)

1/2 credit
0pen to: grades 10-12
Prerequisite: credit in 361A

The study of relations and functions will continue with the exploration of the properties of conic sections, polynomial and rational functions, and an introduction to the trigonometric functions. Students are expected to have a scientific calculator.
calculator.

 

325 Integrated Math II (CP)

1 credit
Open to: grades 10-12
Prerequisite: credit of Integrated I
Scheduled: all Year

This second course in the Integrated series continues the study of Algebra and Geometry, probability, statistics, and discrete math. The underpinnings of trigonometry are established. Students who successfully complete both Integrated Math I & II will have the foundation of Algebra I and Geometry needed for Algebra II or Integrated Math III. A TI-83, or TI-84 calculator is suggested.

 

326 Integrated Math III (CP)

1 credit
Open to: grades 11-12
Prerequisite: credit in Integrated Math II
Scheduled: all year

Students will continue collaborating to explore and solve problems with algebra and geometry. They will use multiple-variable, symbolic, and discrete models along with patterns and families of functions as preparation for college math. A TI-82, TI-83, or TI-83+ calculator are suggested.

 

334 Finance I

1/2 credit
Open to: grade 12
Prerequisite: none

Students will develop a long-range view of budgeting, exploring investment options and debt management strategies with an eye toward financial independence. Areas of study include stocks, mutual funds, credit, insurance and retirement. A scientific calculator is required.  

 

335 Finance II 

1/2 credit

Open to: grade 12
Prerequisite: none

Students will develop a long range view of budgeting, exploring investment options and debt management strategies with an eye toward financial independence. Areas of study include stocks, mutual funds, credit, insurance and retirement. A scientific calculator is required.

371A Algebra III A (CP)

1/2 credit
Open to: grades 11 and 12
Prerequisite: credit in Algebra II

This course will focus on refining skills with functions, including linear, quadratic, polynomials, rational, exponential, logarithmic, and the trigonometric functions. Students are expected to have a scientific calculator.

371B Algebra III B (CP)

1/2 credit
Open to: grades 11 and 12
Prerequisite: credit in 371A

This course will include an introduction to counting theory, probability and statistics as well as matrix algebra and mathematical vector and analysis. Students are expected to have a scientific calculator.

 

379A Statistics A (CP)

1/2 credit
Open to: grade 11-12
Prerequisite: credit in Geometry or Integrated II

This course is a non-AP level introduction to statistics. The course covers statistical methods and reasoning as they apply to such fields as medicine, environmental science, sports, politics and entertainment. Students will produce and organize data and will then analyze their findings using measures of central tendency and statistical tests.

379B Statistics B (CP)

1/2 credit
Open to: grade 11-12
Prerequisite: credit in 379A

This course is a continuation of 379A. The focus is on developing and evaluating inferences and predictions that are based on data. Students will understand and apply basic concepts of chance and probability

 

 

381A Pre-Calculus RF (CP)

1/2 credit

Open to: grades 11 and 12
Prerequisite: credit in Advanced Algebra or Algebra II 362 A&B with teacher recommendation

This is a college preparatory course designed for the student with above average interest and ability in mathematics. Topics include polynomial functions, rational functions, and exponential functions. Students are encouraged to have a TI-83+ or TI-84 graphing calculator.

 

 

381B Pre-Calculus TD (CP)

1/2 credit
Open to: grades 11 and 12
Prerequisite: credit in 381A

This college preparatory course includes a thorough study of elementary trigonometry. Other topics introduced include combinations, probability as well as sequences and series. Students are encouraged to have a TI-83+ or TI-84 graphing calculator.

 

380 Statistics AP

1 credit
Open to: grade 12
Prerequisite: teacher recommendation and either Adv. Algebra II (avg 80%) or Pre-Cal (381B)
Scheduled: all year

This is a college level introduction to probability and statistical analysis. The material covered in this course will be sufficient to prepare students to take the Statistics Advanced Placement Examination. A TI-83+ or TI-84 graphing calculator is required for this course.

 

 

390 Calculus AP

1 credit
Open to: grade 12
Prerequisite: credit in 381 A& B Pre-Calculus
Scheduled: all year

This is a college level introduction to differential and integral calculus. The material covered in this course will be sufficient to prepare students to take the AB Calculus Advanced Placement Examination. A TI-83+ or TI-84 graphing calculator is required for this course.