# Mathematics Courses

EHS Academic Course OfferingsStudents should refer to the Career Pathways section for the mathematics requirements of a chosen pathway. These guidelines, along with the progression of classes within the department, help students choose the proper classes. A student who has not decided on a career needs to take enough high school mathematics to keep his/her options open. We recommend students take mathematics during the senior year so that it is

fresh in their minds as they move on to work, technical training or college.

Students should also keep in mind qualified admissions standards for entry into the Kansas Regents’ Universities. Students should complete at least three years of high school math which must include: one year of Algebra I, one year of Geometry and one year of Algebra II.

NCAA eligibility requirements stipulate that students should have completed Algebra I and Geometry in high school.

#### ALGEBRA I

(Gr 9-10) (Two Trimesters, ½ credit each trimester)

This introductory course is the first course that meets the College and Career Ready standards and is the prerequisite for all advanced math courses. The course provides a basic understanding of the skills needed to solve linear equations and inequalities, systems of equations, quadratic equations, and radical equations; to simplify algebraic expressions consisting of monomials, polynomials and radicals; to graph linear equations; and to compute and analyze statistical data.

#### ALGEBRA I ESSENTIALS

(Gr 9-10) (Two Trimesters, ½ credit each trimester)

This course is designed to provide a basic understanding of algebraic approaches through practical business and personal finance applications. The class is designed to motivate students to explore algebraic thinking patterns and functions in a financial context as well as encourages students to be actively involved in applying mathematical ideas to their everyday lives.

#### ALGEBRA I LAB

(Gr 9-10) (One Trimester, 1/2 credit) May be repeated for credit.

Prerequisite: Teacher or Administrator recommendation

Algebra I Lab is designed to support students with difficulties learning math concepts. Students will focus on math fundamentals to solve a variety of problems. Students will receive support in specific math areas based on individual needs. In addition to math strategies, this class will reinforce concepts and skills being taught in grade level math courses. Placement in Algebra I Lab is contingent upon district staff recommendations and test scores.

#### ALGEBRA II

(Gr 10-12) (Two Trimesters, ½ credit each trimester)

Prerequisite: Geometry or Honors Geometry

This course is designed to build on algebraic and geometric concepts. It develops advanced algebra skills and concepts including linear functions and equations, quadratic equations with real and complex solutions, exponential functions, transformations, rational expressions, and systems of equation. The content of this course is important for students’ success on the ACT.

#### ALGEBRA II ESSENTIALS

(Gr 10-12) (Two Trimesters, ½ credit each Trimester)

Prerequisite: Geometry or Geometry in Construction or Geometry Essentials

This course is designed to provide a basic understanding of algebraic approaches through practical business and personal finance applications. The class is designed to motivate students to explore algebraic thinking patterns and functions in a financial context as well as encourages students to be actively involved in applying mathematical ideas to their everyday lives.

#### ALGEBRA II LAB

(Gr 10-12) (One Trimester, 1/2 credit) May be repeated for credit.

Prerequisite: Teacher or Administrator recommendation

Algebra II Lab is designed to support students with difficulties learning math concepts. Students will focus on math fundamentals to solve a variety of problems. Students will receive support in specific math areas based on individual needs. In addition to math strategies, this class will reinforce concepts and skills being taught in grade level math courses. Placement in Algebra II Lab is contingent upon district staff recommendations and test scores.

#### AMPED (Algebra I in Manufacturing Processes, Entrepreneurship and Design)

(Gr 9, 10) (Two Trimesters, ½ credit each Trimester)

Prerequisite: Entrepreneurship enrolled concurrently

This course contains all objectives and standards delivered in a traditional Algebra I course taught through real world, project-based lessons, labs, and activities. Students will be engaged in Career and Technical Education (CTE) content using mathematics as a tool for solving real-world, career skill-ready problems. All students will work on developing and understanding the skills necessary to thrive in the modern workplace and develop a viable, self-funded business. Students must be enrolled in Entrepreneurship to receive one credit of Algebra I and one-half credit of Entrepreneurship.

#### AP CALCULUS

(Gr 11-12) (Two Trimesters, ½ credit each trimester)

Prerequisite: Trig and Analysis

This course covers elementary differentiation and integration of algebraic and trigonometric functions. Instruction emphasizes applications to multiple disciplines will be stressed throughout the course. Students will have the opportunity to take the AP Calculus AB exam in May.

#### AP STATISTICS

(Gr 11, 12) (Two Trimesters, ½ credit each trimester) Weighted class

Prerequisite: Honors Algebra II or Algebra II or instructor approval

This course introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four major broad conceptual themes: 1) exploring data: describing patterns and departures from patterns; 2) sampling and experimentation: planning and conducting a study; 3) anticipating patterns: exploring random phenomena using probability and simulations; and 4) statistical inference: estimating population parameters and testing hypotheses.

#### COLLEGE ALGEBRA

(Gr 11, 12) (One Trimester, ½ credit, 3 hours college credit and/or dual credit)

Prerequisite: Algebra II/Honors Algebra II/Algebra II Essentials, and must have qualifying ACT or Accuplacer score

This course covers basic operations, products and factoring, linear and quadratic equations, graphs, ration and proportion, inequalities, logarithms, mathematical induction, permutations, combinations and determinants. Students must provide a Texas Instrument graphing calculator. This course is taught at EHS first and/or second trimester, depending on enrollment. There is an additional cost for tuition; textbook is provided. This course can be taken for dual credit through Flint Hills Technical College and Emporia State University for an additional cost.

#### GEOMETRY

(Gr 9-11) (Two Trimesters, ½ credit each Trimester)

Prerequisite: Algebra I or Algebra I Essentials or Honors Algebra I

This course is a Euclidean-based geometry and is the first course in mathematics where formal logical reasoning is stressed. This course provides students with the opportunity to study undefined terms, congruence, constructions, transformations, and inductive and deductive reasoning to develop logical proofs exploring properties of two- and three-dimensional objects. Instruction also stresses improvement of algebraic skills.

#### GEOMETRY ESSENTIALS

(Gr 9-11) (Two Trimesters, ½ credit each Trimester)

Prerequisite: Algebra I

This course covers aspects of plane and solid geometric figures. While all aspects of geometry are discussed, this course is less theoretical and more applied than Geometry. Students explore applications of polygonal shapes and circles, perpendicular and parallel lines, angle relationships, graphing, measurement, area and volume. Students work to improve algebraic skills.

#### GEOMETRY IN CONSTRUCTION

(Gr 9-11) (Two Trimesters, ½ credit each Trimester)

Prerequisite: Algebra I

This course covers aspects of plane and solid geometric figures. While all aspects of Geometry are discussed, this course is less theoretical and more applied than Geometry. Students explore applications of polygonal shapes and circles, perpendicular and parallel lines, angle relationships, graphing, measurement, area and volume as they relate to the field of construction. Students work in teams and will be double-blocked as they complete construction of scale models and work in partnership with Habitat for Humanity to complete a build. Students must be dual enrolled in Construction Technology 1, as well as Geometry to receive 1 credit of Geometry and 1 credit of Construction for each two-trimester class.

#### GEOMETRY LAB

(Gr 9-11) (One Trimester, 1/2 credit) May be repeated for credit.

Prerequisite: Teacher or Administrator recommendation

Geometry Lab is designed to support students with difficulties learning math concepts. Students will focus on math fundamentals to solve a variety of problems. Students will receive support in specific math areas based on individual needs. In addition to math strategies, this class will reinforce concepts and skills being taught in grade level math courses. Placement in Geometry Lab is contingent upon district staff recommendations and test scores.

#### HONORS ALGEBRA I

(Gr 9, 10) (Two Trimesters, ½ credit each trimester) Weighted class

This introductory course meets the College and Career Ready Standards and is the prerequisite for all advanced math courses. The course provides a basic understanding of the skills needed to solve linear equations and inequalities, systems of equations, quadratic equations, and radical equations; to simplify algebraic expressions consisting of monomials, polynomials and radicals; to graph linear, quadratic, and exponential equations; and to compute and analyze statistical data. This course moves at a faster pace and covering concepts in more depth. Students must be highly motivated, have strong foundation skills, and be willing to accept responsibilities beyond those expected in a regular Algebra I class.

#### HONORS ALGEBRA II

(Gr 10-12) (Two Trimesters, ½ credit each trimester) Weighted class

Prerequisite: Honors Geometry or Geometry

This course is designed to build on algebraic and geometric concepts. It develops advanced algebra skills and concepts including linear functions and equations, quadratic and polynomial equations with real and complex solutions, exponential and logarithmic functions, transformations, rational expressions, systems of equations, and conics. Trigonometric functions will also be introduced. The content of this course is important for students’ success on the ACT. Students must be highly motivated, have strong skills, and be willing to accept responsibilities beyond those expected in a regular Algebra II class.

#### HONORS GEOMETRY

(Gr 9-11) (Two Trimesters, ½ credit each trimester) Weighted class

Prerequisite: Honors Algebra I or Algebra I

This course is a Euclidean-based geometry and is the first course in mathematics where formal logical reasoning is stressed. This course provides students with the opportunity to study undefined terms, congruence, constructions, transformations, and inductive and deductive reasoning to develop logical proofs exploring properties of two and three dimensional objects. Instruction also stresses improvement of algebraic skills. This course moves at a faster pace and covers concepts in more depth. Students must be highly motivated, have strong Algebra foundation skills, and be willing to accept responsibilities beyond those expected in a regular Geometry class.

#### INTEGRATED MATH

(Gr 9, 10) (One Trimester, 1/2 credit) May be repeated for credit.

Prerequisite: Teacher or Administrator recommendation

This course is designed to support students with deficiencies in required prerequisite standards. Students will work on advancing their understanding of previous content in an effort to create a sound and solid contextual foundation enabling the student’s success in their regular math course.

#### INTRODUCTION TO STATISTICS

(Gr 11-12) (Two Trimesters, ½ credit each Trimester)

Prerequisite: Algebra II Essentials or Algebra II

This course will acquaint students with concepts and tools for collecting, analyzing, and drawing conclusions from data. Included in the course will be many activities involving hands-on gathering and analysis of real world data. This course may include such topics as data analysis involving measures of central tendency and measures of variance, probability, counting theory and regression analysis. Students use computers, the internet and graphing calculators as tools for collection and analysis of data.

#### Transition to College Algebra

(Gr. 12) (Two Trimesters, 1/2 credit each trimester)

Prerequisite: Accuplacer test completion with applicable score.

This is a one-year course (a unit) to be delivered by the high school to seniors who will need College Algebra to meet their postsecondary goals, but require additional academic preparation to be placed into that course. It was developed by high school and two-year college math faculty, charged by the Board of Regents with creating a course to enable more graduating high school seniors to enroll in credit-bearing, college-level math courses when they start college. [via: KSDE website]

#### TRIGONOMETRY AND ANALYSIS

(Gr 11, 12) (Two Trimesters, ½ credit each trimester)

Prerequisite: Algebra II or Honors Algebra II

Exploration into the following topics will be conducted: angles, arcs, sectors, polar coordinates, trigonometric ratios, trigonometric identities, trigonometric equations, triangle solutions using the Law of Sines and the Law of Cosines, areas of plane figures, inverse trigonometric functions, trigonometric formulas and trigonometric graphs. We will also continue the formal study of the elementary functions begun in Algebra 1 and Algebra 2. Students focus on the use of technology, modeling, and problem solving. Functions studied include polynomial, exponential, logarithmic, rational, radical, piece-wise, and trigonometric and their inverses. Infinite sequences and series are also studied. The concept of limit is introduced.

## MATH RESOURCE/LIFESKILLS CLASSES

#### COMMON CORE INTRO TO ALGEBRA

(Two Trimesters, ½ credit each Trimester)

This 9th grade course is the first in the resource College and Career Ready math sequence. It is designed for students who need mathematical background in the skills associated with typical high school math course offerings. The class emphasizes algebraic readiness competencies, including skills needed for formulas, inequalities, linear equations, systems of equations and problem-solving. After successful completion of this course, a student would proceed at the teacher’s discretion to CC Intro to Geometry or CC Geometry (co-taught).

#### COMMON CORE INTRO TO GEOMETRY

(Two Trimesters, ½ credit each Trimester)

This sophomore-level course is the second in the common core resource math sequence. The course covers plane and geometric figures and explores applications of polygon shapes and circles, parallel and perpendicular lines, angle relationships, graphing, measurement, area and volume. After successful completion of this course, a student would proceed to CC Intro to Algebra II.

#### COMMON CORE INTRO TO ALGEBRA II

(Two Trimesters, ½ credit each Trimester)

This junior-level course is the third in the common core resource math sequence. The course covers linear, quadratic, polynomial, rational and conic functions and explores the application of these functions to real world problems.

#### COMMON CORE MATH I

(Two Trimesters, ½ credit each Trimester)

This resource math class is the first in the series. Students will spend the year studying the number system, solving linear equations and inequalities and their application, graphing linear equations and inequalities, and solving systems of equations. After the successful completion of this course, a student would proceed at the teacher’s discretion to either CC Math II or CC Intro to Algebra.

#### COMMON CORE MATH II

(Two Trimesters, ½ credit each Trimester)

This resource math class is the second in the series. Students will spend the year studying simplifying polynomial expressions, quadratic and radical equations and inequalities, statistics and analysis and introduction of functions. After successful completion of this course, a student moves at the teacher’s discretion to CC Math III or CC Intro to Geometry.

#### COMMON CORE MATH III

(Two Trimesters, ½ credit each Trimester)

This resource math class is the third in the series. Students will spend the year studying plane and three-dimensional figures, constructions, area and volume and their application, transformations and introduction to inductive/deductive reasoning. After successful completion of this course, a student would proceed to CC Math IV.

#### COMMON CORE MATH IV

(Two Trimesters, ½ credit each Trimester)

This resource math class is the fourth in the series. Students will spend the year studying consumer mathematics. Topics covered will include but are not limited to balancing a checkbook, creating a budget, personal record keeping and paying taxes. The goal of this course is to enable students to make educated decisions regarding personal finance.