Math Department

IMPORTANT THINGS TO REMEMBER ABOUT SELECTING A MATH COURSE.

  • All 9th grade students will be enrolled in either Algebra 1A in the fall and Algebra 1B in the spring or similarly in Honors Algebra for a semester. In order for a student to be enrolled in the honors course, they must complete the Algebra Readiness Test with a passing score and receive a final grade of A in 8th grade math.
  • Any 9th grade student who has a goal of taking AP Calculus AB or BC must take Geometry and Algebra 2 by their sophomore year (for Calculus BC the student needs to be in the honors sequence of courses).
  • Any student who takes regular Algebra 2 and wishes to take Honors Precalculus 1 and 2 must have a teacher recommendation from their Algebra 2 teacher in order to take the honors course rather than the regular course.

  • Any 9th grade student who took Algebra 1 in middle school will start in Geometry or Geometry Honors.
  • AP Calculus AB can be taken after completing Precalculus 1 with a grade of A or B with a recommendation of also taking Pre-Calculus 2.

To satisfy graduation requirements, each student must earn four credits of Math and attempt a new math each year: Algebra 1, Geometry, Algebra 2 and one more math above Algebra 1


ALGEBRA 1A

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 9
  • Math Elective Credit

This course is the foundation of algebra. Essential topics include solving, graphing, and writing linear equations and inequalities. Other important topics include solving and graphing absolute value equations and inequalities. Linear systems and basic statistics will also be included in the course content.


ALGEBRA 1B

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 9-10
  • Prerequisite: Algebra 1A; Regular or honors is required for graduation

This course will continue the study of algebra with an in-depth look at properties of exponents, quadratic equations, radicals and rational expressions, and equations with rational expressions. General statistics and probability, along with operations and applications of matrices, will also be topics of interest.


ALGEBRA 1A & 1B HONORS

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 9
  • Prerequisite: An A in 8th grade math and passing grade on Algebra Readiness test; required for graduation

These courses will cover similar to those in Algebra 1A and 1B.  A greater emphasis will be placed on concept development and completing investigative tasks.  Topics will be dealt with in much greater depth.


ALGEBRA 1 HONORS 

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 9
  • Prerequisite: An A in 8th grade math and passing grade on Algebra Readiness test; required for graduation

This course will cover the same topics as the regular Algebra 1A & 1B courses but in one semester. This is a fast-paced, challenging course.


GEOMETRY

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 10-11
  • Prerequisite: Algebra 1B; Regular or honors Geometry required for graduation

In this course students will strengthen their logical and mathematical reasoning as they study the formal structure of geometric concepts.  In addition, students will develop problem solving skills through applying geometric concepts in real world situations.


GEOMETRY HONORS

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 10-11
  • Prerequisite: A or B in Honors Algebra 1B/Adv Algebra 1 or an A for each term in Algebra 1A and 1B with teacher recommendation; Regular or honors Geometry required for graduation

This course will cover topics similar to those in Geometry with a greater emphasis on the subject as a axiomatic system.  A much greater emphasis will be placed on the development of mathematical proofs and the completion of investigative tasks.


ALGEBRA 2

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 10-12
  • Prerequisite: Geometry; Regular or Honors required for graduation

As students continue their study of algebra, they will begin a look at transformations of functions and revisit quadratics as they are introduced to complex numbers.  They will also learn concepts of exponential and logarithmic functions, polynomial and rational functions, the conic sections, sequences and series, and an introduction to trigonometric functions.  Additional topics in statistics and probability will also be presented.


ALGEBRA 2 HONORS

  • One Semester
  • 1 credit
  • EOC: YES
  • Grade 10-12
  • Prerequisite: A or B in Geometry Honors or an A in Geometry; Regular or Honors is required for graduation

This course will cover essentially the same topics as the regular Algebra 2 course with much greater depth and emphasis on investigative type tasks.


STATISTICS

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Successful completion of Algebra 2 or an A or B in regular Algebra 2

This course develops techniques for organizing data, using graphs and numerical measurements.  Probability is used with statistical tests to make statistical inferences.


DUAL ENROLLMENT STATISTICS @ SHHS

  • One Semester
  • 1 credit
  • EPSO
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Algebra 2 with a recommended grade of B or better and must meet ETSU eligibility requirements (GPA 3.0 or better and at least an ACT subscore of 19 for Math and Reading subsections)

Descriptive statistics and its relevance, including probability, experimentation, measurement, sampling and surveys, informal statistical inference, and hypothesis testing are included.  Students will be able to earn 3 college hours from East Tennessee State University with successful completion of this course.   (Additional work is required for Dual Enrollment Statistics, fee required) Please see counselor for more details.


ADVANCED PLACEMENT STATISTICS

  • One Semester
  • 1 credit
  • EPSO
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Successful completion of Algebra 2

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding



PRE-CALCULUS I

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Algebra 2 with recommended grade of B or better or teacher recommendation

This course will begin building on the concepts of functions that were introduced in Algebra 2, including absolute value, greatest integer, polynomial, rational, exponential, and logarithmic functions.  In addition, students will begin their study of trigonometry including the Unit Circle, the graphs of the trigonometric and inverse trigonometric functions, basic trigonometric identities and application of these identities to solve equations and inequalities, and triangle trigonometry.


PRE-CALULUS I HONORS

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Advanced Algebra 2 with recommended grade of B or better or Teacher Recommendation

This course has similar content as regular Pre-Calculus I, but with more emphasis on the development of concepts.


PRE-CALCULUS II

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Pre-Calculus I with recommended grade of C or better AND recommended grade of C or better in Algebra 2

This course will continue the study of analytical trigonometry.  Other topics to be studied include: polar coordinates, vectors, matrices, sequences and series, and some probability.  Due to the continuing nature of the course, it is recommended that students take Pre-Calculus I and Pre-Calculus II in the same school year.


PRE-CALCULUS II HONORS

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 11-12
  • Prerequisite: Pre-Calculus I Honors or Teacher Recommendation

This course is designed to prepare students for the AP Calculus course.


BRIDGE MATH

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 12
  • Prerequisite: Algebra 2 AND below 19 on the ACT/910 on the SAT; not approved course for NCAA

This course is designed for the student who scores below 19 on the ACT Test (or an equivalent score on the SAT) to bridge the gaps in the student’s understanding of mathematical content to allow them to be successful on the ACT/SAT.  The primary goal is to prepare the student to be better prepared for the workplace or to enter directly into college-level mathematics courses, avoiding having to take developmental mathematics courses when they enter college or community college.


APPLIED MATHMEMATICAL CONCEPTS

  • One Semester
  • 1 credit
  • EOC: NO
  • Grade 12
  • Pre-requisite: Algebra 2

This course is designed for the student not planning to take the traditional course sequencing of Statistics, Pre-Calculus, or Calculus in order to fulfill the mathematics requirement for graduation.   A major emphasis of the course will be to apply concepts from Algebra 2 (such as systems of equations (linear and non-linear), matrices, exponential and logarithmic functions, probability, and statistics) to the areas of business and finance.


 AP CALCULUS AB

  • One Semester
  • 1 credit
  • EPSO
  • EOC: NO
  • Grade 12
  • Prerequisite: Pre-Calculus 1 with a recommendation of also taking Pre-Calculus 2

AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.



ADVANCED PLACEMENT CALCULUS BC

  • Two Semesters
  • 1 credit each semester
  • EPSO
  • EOC: NO
  • Grade 12
  • Prerequisite: Pre-Calculus 1 & 2 Honors

AP Calculus AB/BC is roughly equivalent to both first and second semester college calculus courses. It extends the content learned in AB to different types of equations (polar, parametric, vector-valued) and new topics (such as Euler's method, integration by parts, partial fraction decomposition, and improper integrals), and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.