 Spring Hill Schools
 Teaching & Learning
 High School Program Planning Guide 2024
 Mathematics Course Descriptions 2024
Teaching & Learning
Page Navigation

Teaching & Learning

High School Program Planning Guide 2024
 Spring Hill Schools Courses Required for Graduation Through 2027
 Spring Hill Schools Courses Required for Graduation Class of 2028
 Fine Arts, Communications, and STEM Course List

Career and Technical Education 2024
 Agriculture, Food and Natural Resources Pathway 2024
 Business Marketing Pathway 2024
 Programming and Software Development Pathway 2024
 Visual Arts  Graphic Design Pathway 2024
 Construction and Design Pathway 2024
 Digital Media Pathway 2024
 Visual Arts  Fashion, Apparel, and Interior Design (FAID) Pathway 2024
 Business Finance Pathway 2024
 Health Science Pathway 2024
 Restaurant and Event Management Pathway 2024
 Web & Digital Communications Pathway 2024
 Engineering Pathway 2024
 Teaching and Training Pathway 2024
 Language Arts Course Descriptions 2024
 Mathematics Course Descriptions 2024
 Music/Performing Arts Course Descriptions 2024
 Physical Education and Health Course Descriptions 2024
 Science Course Descriptions 2024
 Social Science Course Descriptions 2024
 Theatre/Performing Arts Course Descriptions 2024
 Visual Arts Course Descriptions 2024
 World Language Course Descriptions 2024
 Special Category 2024
 Middle School Program Planning Guide
 Elementary Program Planning Guide
 Assessment

High School Program Planning Guide 2024
Math Course Descriptions

Algebra I
Grade: 9 (*Students MAY receive credit for this course when taken in 8th grade, provided the proper paperwork is returned to the counseling office.)
Prerequisite: 9^{th} grade: students will be assigned based on performance in current math class
Length of Course: Year
Descriptions: A oneyear course designed as an introduction to algebra, geometry, and trigonometry. Algebra I will focus primarily with terminology and basic methods of the study of known and unknowns. The topics covered are:

The 4 fundamental operations on real numbers and their use in the solution of simple equations and related problems.

Polynomials, factoring, and fractions, leading to the solution of more complicated problems. Division of polynomials.

Solving equations with more than one unknown and graphing of straight lines in the coordinate plane.

Work with irrational numbers, quadratic functions and equations.
This course is designed in part to prepare students for admission to a university.
Instructional Resource
Into Algebra 1, 2020
Publisher: Houghton Mifflin Harcourt


Algebra II
Grade: 912 Prerequisite: Geometry Length of Course: Year
Description: An elective course dealing primarily with algebraic techniques and methods as an introduction for trigonometry and analysis and college math. Topics covered are:

Sets and axioms, open sentences in one variable, systems of linear open sentences

Polynomials and factoring, rational numbers and expressions, relations and junctions

Irrational numbers, quadratic equations and systems, exponential functions.

Logarithms, trigonometric functions, complex numbers and trigonometric identities.
This course is designed in part to prepare students for admission to a university.
Instructional Resource
Into Algebra 2, 2020
Publisher: Houghton Mifflin Harcourt


AP Calculus & Analytic Geometry Honors
JCCC College Now Course5 credits (dual credit course taught at the high school)
Grade: 1112 Prerequisite: Trigonometry/PreCalculus. To receive college credit a student must have a 28 on the math subscore of the ACT or a qualifying score on the JCCC free assessment test (taken at JCCC). Approximate cost $465$575. Length of Course: Year
Description: The students will explore topics which include elementary functions (polynomial, algebraic, trigonometric, exponential and logarithmic), limits, differential calculus with applications, integral calculus with applications, techniques of integration, and plane analytic geometry. College credit through JCCC is available. This course is designed in part to prepare students for admission to a university.College credit is available for this course through JCCC.

AP Statistics
JCCC College Now Course3 credits (dual credit course taught at the high school)
Grade: 1112 Prerequisite: Concurrent enrollment in College Algebra, Calculus, or Trig preferred; to be eligible to take as credit course through JCCC, the student must have a 23 on the math section of the ACT qualifying score on the JCCC free assessment test (taken at JCCC). Approximate cost $280$315.
Length of Course: Year
Description: At the end of this course students will be able to: critically
read and analyze basic statistical study, perform onetailed & twotailed hypothesis tests, perform a linear regression analysis, solve basic counting and probability problems, construct a confidence interval and explain its meaning, compute measures of central tendency and dispersion, and explain the meaning of central tendency and dispersion as related to a problem. College credit is available for this course through JCCC. This course is designed in part to prepare students for admission to a university. College credit is available for this course through JCCC.

BronCore
Grade: 912 Prerequisite: Teacher Recommendation & Student need
Length of Course: Semester or Year
Description: BronCore is a class designed to provide support for students who show a need for additional instruction in the areas of reading and math. BronCore is structured in a way to individually assist students in building key gradelevel skills, as well as to monitor a student’s progress and adjust learning to their progress. The class may also supplement curriculum in a student’s English and math classes.

College Algebra
JCCC Quick Step Plus Course3 credits (dual credit course taught at the high school)
Grade: 1112 Prerequisite: To receive college credit a student must have a 22 on the math subscore of the ACT or a qualifying score on the JCCC free assessment test (taken at JCCC). Approximate cost $280$315.
Length of Course: Year
Description: This course focuses on the study of functions and their graphs, techniques of solving equations and the recognition and creation of patterns. Students will analyze and graph functions, including constant, linear, absolute value, square root, polynomial, rational, exponential and logarithmic functions and nonfunctions; solve equations and inequalities, including polynomial equations, exponential equations, logarithmic equations, systems of linear equations and systems of linear inequalities; and analyze and create algebraic and numerical patterns. College credit is received for this course through JCCC. This course is designed in part to prepare students for admission to a university. College credit is available for this course through JCCC.

College Prep Math
Grade: 1112 Prerequisite: Algebra II Length of Course: Year
Description: This course is designed for students who struggle with proficiency in requisite skills needed for successfully completing College Algebra or Trigonometry. Students not performing at the identified level on normreferenced tests, the state mathematics assessments from 10^{th} grade, and their previous high school math coursework will be invited to take this course. This course will focus on teaching strategies that enhance the student’s ability to find success within a college level mathematics class in addition to the following math concepts: properties of the real number system and an introduction to the complex number system, first degree and quadratic equations and inequalities and an introduction to polynomial and exponential functions, indepth analysis of the graphs of various functions, applications of geometry, rational functions, complex numbers, probability and statistics, and an introduction to conic sections and sequences/series. This course is designed in part to prepare students for admission to a university.

Consumer Math
Grade: 1112 Prerequisite: Completion of two years of math classes Length of Course: Semester
Description: This is a course designed for Juniors and Seniors to learn how mathematics is used in real world situations. Some of the topics covered are calculating earnings, net pay, savings, taxes, loans, and credit cards. This course is NOT recognized by the Kansas Regents as part of the required coursework for admission to a Kansas Regent University.

Geometry
Grade: 910
Prerequisite: 9^{th} grade: students will be assigned based on performance in current math class
10^{th} –12^{th}: completion of Algebra I or Algebra A/B
Length of Course: Year
Description: An elective course that begins with basic definitions and postulates for a formal development of geometry through proofs. The topics covered are listed by the quarter as follows:

Basic geometric figures, lines and angles.

Parallel lines, congruent triangles, and congruent quadrilaterals.

Similar polygons, right triangle, circle

Constructions, areas, volumes, and coordinate geometry.
This course is designed in part to prepare students for admission to a university.
Instructional Resource
Into Geometry, 2020
Publisher: Houghton Mifflin Harcourt


Honors Algebra II
Grade: 912 Prerequisite: A in both semesters of Geometry or completion of Honors Geometry with a B or better in both semesters and Teacher Recommendation. A 70% in the first semester is required to continue to the 2nd semester. Length of Course: Year
Description: An elective course dealing primarily with algebraic techniques and methods as an introduction for trigonometry and analysis and college math. Topics covered are:

Sets and axioms, open sentences in one variable, systems of linear open sentences

Polynomials and factoring, rational numbers and expressions, relations and junctions

Irrational numbers, quadratic equations and systems, exponential functions.

Logarithms, trigonometric functions, complex numbers and trigonometric identities.
Honors Algebra II is a more rigorous version of traditional Math II. This course is intended for students that are planning a career in mathematics and to prepare students for upper level math courses such as Trigonometry and Calculus. This course is designed in part to prepare students for admission to a university.
Instructional Resource
Into Algebra 2, 2020
Publisher: Houghton Mifflin Harcourt


Honors Geometry
Grade: 910 Prerequisite: A in both semesters of Algebra 1 and Teacher Recommendation. A 70% in the first semester is required to continue to the 2nd semester. Length of Course: Year
Description: An elective course that begins with basic definitions and postulates for a formal development of geometry through proofs. The topics covered are listed by the quarter as follows:
Basic geometric figures, lines and angles., Parallel lines, congruent triangles, and congruent quadrilaterals., Similar polygons, right triangle, circle, Constructions, areas, volumes, and coordinate geometry.
Honors Geometry is a more vigorous version of traditional Geometry. This course is intended for students that are planning a career in mathematics and to prepare students for upper level math courses such as Trigonometry and Calculus.
This course is designed in part to prepare students for admission to a university.
Instructional Resource
Into Geometry, 2020
Publisher: Houghton Mifflin Harcourt

Practical Math
Grade: 1112 Prerequisite: Completion of 2 years of math Length of Course: Semester
Description: This is a course designed for juniors and seniors to learn how mathematics is used in real world situations. Some of the topics covered are: measurements, fractions, and percents. This course is NOT recognized by the Kansas Regents as part of the required coursework for admission to a Kansas Regent University.

Honors PreCalculus/Trigonometry
Grade: 1012 Prerequisite: Algebra II Length of Course: Year
Description: An elective course that is divided into two parts: Mathematical Analysis and Trigonometry. The topics covered are:

Functions, graphs, inverses, and matrices

Conics, exponential functions, and logarithmic functions

Trigonometric functions, graphs, and identities

Vectors, polar coordinates, complex numbers, and sequences & series

Problem solving and data is incorporated throughout
This course is designed in part to prepare students for admission to a university.
