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MATHEMATICS
GRADUATION REQUIREMENT: All students are required to pass a minimum of three credits of Math to graduate. One of the four ninth grade math courses must be passed as a graduation requirement.
A fourth year of mathematics will be counted as an elective credit.
NOTATIONS: The following courses are the ONLY courses which may be taken concurrently:
- Regular Algebra II & Regular Geometry (must have earned an “A” in Algebra I and have their Algebra I teacher’s recommendation)
- Regular Precalculus & Discrete Math (with Algebra II teacher’s recommendation)
- Regular Calculus & Discrete Math (with Precalculus teacher’s recommendation)
- Algebra I & Regular Geometry ONLY IF THE STUDENT HAS ALREADY TAKEN ALGEBRA I AND IS RETAKING FOR A BETTER GRADE
- AP Statistics & Regular Precalculus (with Algebra II teacher’s recommendation)
- AP Statistics & Regular Calculus (with Algebra II teacher’s recommendation)
- AP Statistics & Discrete Math (with Algebra II teacher’s recommendation)
- Students may NOT double-up with any Honors or AP mathematics courses, except AP Statistics.
The following recommendation is made for students who have earned a D in Algebra I and want to take Algebra II:
- not take Geometry but instead retake Algebra I
- take Geometry and retake Algebra I concurrently
- take Geometry, and retake Algebra I during the summer before Geometry or the summer after Geometry-moving on to Algebra II if a C is earned in summer school Algebra I.
Students who have not yet taken Algebra I CANNOT enroll in Algebra I and Geometry concurrently.
Math Course Descriptions
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Algebra 1.1
Grade: 9, 10
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: None
NCAA Approved Course for .5 Credit
Description:
Algebra 1.1 is the first year of a two-year Algebra I sequence. Students will study all the concepts and topics described in the Algebra I description but will take the course over two years instead of one.
(ALGEBRA 1.1 IS NOT CURRENTLY OFFERED)
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Algebra I
Grade: 9, 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Placement in Algebra I by the student’s 8th grade mathematics teacher and counselor
NCAA Approved Course
Description: Students enrolled in Algebra I will study the real number system and its properties, equations (linear and quadratic), inequalities, graphing, operations with polynomials, algebraic fractions and irrational numbers. Students will also apply this knowledge and skill to solve word problems.
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Geometry
Grade: 9, 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Placement in Geometry by the student’s 8th grade mathematics teacher and counselor or Full credit earned in Algebra
NCAA Approved Course
Description: Students will use inductive and deductive reasoning to develop an axiomatic system which describes the properties of two and three dimensional objects. A solid, working knowledge of Algebra I skills is necessary.
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Geometry Honors
Grade: 9, 10
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Placement in Geometry Honors by the student’s 8th grade mathematics teacher and counselor or Full credit earned in Algebra I; students who earned less than an A in Algebra I must have approval of KHS Algebra I teacher.
NCAA Approved Course
Description: Like the regular Geometry course, students will use inductive and deductive reasoning to develop an axiomatic system which describes the properties of two and three dimensional objects. Students in Geometry Honors, however, will proceed at an accelerated pace. Students will be expected to perform a significant number of proofs of geometric theorems. Students will also engage in the study of elementary analytic geometry by combining their knowledge of and skill in both algebra and geometry.
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Algebra II
Grade: 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Algebra I and Geometry; students who earned less than a C in Algebra I must have approval from KHS Geometry teacher
NCAA Approved Course
Description: Students in this course will extend their study of Algebra. In addition to a brief review of Algebra I, students will examine systems of equations and inequalities, powers, roots and complex numbers. Students will also examine a variety of functions and relations including radical, polynomial, exponential, logarithmic, rational, and quadratic functions.
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Algebra II Honors
Grade: 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Geometry Honors (recommended B) and in Algebra I (recommended A) or Full credit earned in Geometry (recommended A) and in Algebra I (recommended A)
NCAA Approved Course
Description: Like students in the regular Algebra II course, students enrolled in Algebra II Honors will extend their study of Algebra by exploring topics listed in regular Algebra II more in depth, with greater application, and at an accelerated pace.
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Statistics
Grade: 10, 11, 12
Course Credit: .5 Math Credit
Course Length: Semester
Prerequisite: Full credit earned in Algebra II
NCAA Approved Course
Description:
Students enrolled in Statistics will learn to collect, organize, compare and summarize data and create visual representations of data. Topics will include: measure of central tendency, normal distributions, probabilities, statistical error. Students will extend their study to include real-world situations. This course will be offered each semester.
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Discrete Mathematics A / Discrete Mathematics B
Discrete Mathematics A (MA306C) - FALL SEMESTER
.5 Math Credit Per Semester
Discrete Mathematics B (MA307C) - SPRING SEMESTER
Grade: 11, 12
NCAA Approved Course
Semester
Prerequisite: Full credit earned in Algebra II or Algebra II Honors
Discrete Mathematics A is only offered during the first semester. Discrete Mathematics B is only offered the second semester. Students do not have to take Discrete Mathematics A before taking Discrete Mathematics B. Students enrolled in this course will use rigorous thought and reasoning skills to explore areas of mathematics not traditionally covered in the algebra-precalculus-calculus sequence. Topics include secret codes and encryption, infinity and different levels of infinity, different geometries, topology, chaos and fractals and probability. Discrete mathematics lends itself to a wide variety of “real world” applications. Problems discussed will range from determining if there are two people on earth with the exact same number of hairs on their bodies to devising secret codes to examining the probability of winning the lottery.
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Algebra III
Grade: 10,11,12
Course Credit: .5 Math Credit
Course Length: Semester
Prerequisite: Full credit earned in Algebra II
NCAA Approved Course
Description:
Algebra III is an option offered to students who have successfully completed Algebra II but do not want/need to proceed to Precalculus or Discrete Math. The course will involve students gaining further mastery for solving problems typically found in and extending beyond traditional Algebra II courses. In addition, time will be spent helping students learn how to solve problems typically found on college placement tests. This is not an appropriate course for, and is not recommended for students who have already earned a C or higher in Precalculus or B or higher in Algebra II.
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Precalculus
Grade: 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Algebra II (recommended B) or Algebra II Honors
NCAA Approved Course
Description:
Students enrolled in Precalculus will extensively study operations on functions including solving equations, graphing, and finding domain and range. Specific functions to be studied include polynomials, rational, exponential, logarithmic and trigonometric functions. Students will also apply their knowledge and skill to the study of analytic geometry.
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Precalculus Honors
Grade: 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Algebra II (recommended A) or Full credit earned in Algebra II Honors (recommended B)
NCAA Approved Course
Description:
Students in Precalculus Honors will study all the topics studied in the regular Precalculus course as well as conics and area approximations. Students are also expected to be able to reproduce proofs of important applicable theorems. This course is the course taken by students who expect to enroll in Advanced Placement Calculus the following year. Like students in regular Precalculus, students in Precalculus Honors will also apply their skills and knowledge attained in previous mathematics courses to examine the trigonometric functions. Students in the honors section will also extend their study to include vectors and complex numbers. Students in the honors section will proceed at an accelerated pace through this more rigorous course.
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Calculus
Grade: 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Precalculus (recommended B) or Precalculus Honors
NCAA Approved Course
Description:
In Calculus, the student brings together all the skills learned in Algebra through Precalculus and applies them to the study of limits. Students will find themselves in a course traditionally taken by first and second semester college students. During the first semester, the student will engage in a complete analysis of limits of ratios (derivatives). During the second semester the student will perform the same analysis on limits of sums (integrals).
*Dual Credit through UMSL is offered in this course.
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AP Calculus AB
Grade: 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Precalculus (recommended A) with teacher recommendation or Full credit earned in Precalculus Honors (recommended B)
NCAA Approved Course
Description:
Students enrolled in AP Calculus AB will study the same topics as regular Calculus but will have the additional challenge of the AP exam. Because of the timing of the AP exam, AP Calculus AB students will proceed at an accelerated pace. Throughout the course, students will practice AP type problems and questions.
*Dual Credit through UMSL is offered in this course.
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AP Calculus BC
Grade: 10, 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in regular Calculus (recommended A) with teacher recommendation or AP Calculus AB (recommended B)
NCAA Approved Course
Description:
Students enrolled in AP Calculus BC will enhance their understanding of topics covered in AP Calculus AB and will also engage in a complete analysis of parametric equations, vectors, series and sequences. Because of the timing of the AP exam, AP Calculus BC students will proceed at an accelerated pace. Throughout the course, students will practice AP type problems and questions in preparation for the AP exam. This course encompasses two full semesters of university level calculus.
*Dual Credit through UMSL is offered in this course.
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AP Statistics
Grade: 11, 12
Course Credit: 1 Math Credit
Course Length: Year
Prerequisite: Full credit earned in Algebra II (recommended B)
NCAA Approved Course
Description:
Students enrolled in AP Statistics will be introduced to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students will be exposed to four broad conceptual themes: exploring data; sampling and experimentation; anticipating patterns; and statistical inference. Students will find themselves in a course similar to a college level Elementary Statistics course. Throughout the course, students will practice AP type problems and questions.
*Dual Credit through UMSL is offered in this course.
| Course Number | Course Name | Grade Level | Semester or Full Year | Prerequisite |
|---|---|---|---|---|
| MA100A/B | Algebra 1.1 (NOT CURRENTLY OFFERED) | 9-12 | Full Year | None |
| MA102A/B | Algebra I | 9-12 | Full Year | Algebra 1.1 OR 8th grade teacher approval |
| MA103A/B | Geometry | 9-12 | Full Year | Algebra I OR 8th grade teacher approval |
| MA190A/B | Geometry Honors | 9-10 | Full Year | Algebra I (recommended A) OR 8th grade teacher approval |
| MA200A/B | Algebra II | 10-12 | Full Year | Algebra I and Geometry OR Algebra II and Geometry concurrently |
| MA290A/B | Algebra II Honors | 10-12 | Full Year | Geometry Honors (recommended B) AND Algebra I (recommended A) OR Geometry (recommended A) AND Algebra I (recommended A) |
| MA300C | Statistics | 10-12 | Semester | Algebra II |
| MA306C | Discrete Mathematics A | 11-12 | Semester (Fall Only) | Algebra II Honors OR Algebra II |
| MA307C | Discrete Mathematics B | 11-12 | Semester (Spring Only) | Algebra II Honors OR Algebra II |
| MA302C | Algebra III | 10-12 | Semester | Algebra II |
| MA303A/B | Precalculus | 10-12 | Full Year | Algebra II Honors OR Algebra II (recommended B) |
| MA390A/B | Precalculus Honors | 10-12 | Full Year | Algebra II Honors (recommended B) OR Algebra II (recommended A) |
| MA400A/B | Calculus* | 12 | Full Year | Precalculus Honors OR Precalculus (recommended B) |
| MA500A/B | AP Calculus AB* | 10-12 | Full Year | Precalculus Honors (recommended B) OR Precalculus (recommended A) with teacher recommendation |
| MA501A/B | AP Calculus BC* | 10-12 | Full Year | Calculus (recommended A) with teacher recommendation OR AP Calculus AB (recommended B) |
| MA502A/B | AP Statistics* | 11-12 | Full Year | Algebra II (recommended B) |