Mathematics

We offer four different programs for students. Courses are taken sequentially. Based on performance, students may have the ability to move to a different program. However, prerequisites must be completed prior to enrolling in any class.

The Elementary Program:

This program is for students who have consistently struggled with mathematics and need to begin with basic Algebra and Geometry principles.

Suggested sequences: Algebra IA, Algebra IB, Geometry, Algebra II

The Pre-Calculus Program:

This program is for students who have had PreAlgebra, Math 8, or Algebra I, however, who would benefit from an additional year of high school Algebra.

Suggested sequences: Algebra I, Geometry, Algebra II, Pre-Calculus.

The Calculus Program:

This program is for students who have successfully completed a year of Algebra I and have mastered Algebra I topics.

Suggested courses: Geometry or Secondary Math II Honors, Algebra II, Pre-Calculus, Calculus Honors.

The Honors/AP Program:

This program is for students who have successfully completed a year of Algebra and who are recommended to work at an accelerated pace. Students who are highly motivated but have not taken geometry may take Advanced Geometry Honors and Algebra II concurrently their freshmen year, or an approved summer course.

Suggested sequences: Advanced Geometry Honors, Advanced Algebra II Honors, AP PreCalculus, or AP Calculus AB.

3101 Algebra I

(1 credit) Grades: 9th, 10th, 11th, 12th

Prerequisite: Pre-Algebra

In course students will extend their knowledge of polynomials and equations. Students learn to work with variables, perform operations with real numbers, solve first-degree equations and inequalities, factor polynomials, simplify rational expressions, and work with radicals.

Required Materials: any type of calculator.

3107 Secondary Math II Honors

(1 credit) Grades: 9th, 10th, 11th, 12th

Recommended Prerequisite: Secondary Math 1/1H

This fast-paced course extends students' knowledge of Algebra and Geometry topics and prepares students for an Algebra II class. Algebra topics will include writing linear equations, graphing linear equations and inequalities, working with slope, factoring polynomials, simplifying rational expressions, working with radicals, modeling, systems of equations and inequalities, and solving quadratic equations. Geometry topics will include algebraic and geometric proof, constructions, congruence, similarity, right triangles, trigonometry, expressing geometric properties with equations, and geometric measurement.

Required Materials: any type of calculator, compass, protractor, and ruler.

3108 Algebra IA

(1 credit) Grades: 9th, 10th

Prerequisite: Pre-Algebra or teacher recommendation

In this year-long course designed to study the first semester of a standard Algebra 1 course while strengthening foundational math concepts as well as work with variables, expressions, functions, relations, linear equations, and inequalities. This course will be followed by Algebra 1B.

Required Materials: any type of calculator.

3109 Algebra IB

(1 credit) Grades: 10th, 11th

Prerequisite: Algebra IA or teacher recommendation

In this year-long course designed to study the second semester of a standard Algebra 1 course while continuing to strengthen foundational math concepts as well as work with systems of linear equations and inequalities, polynomials, factoring, quadratic equations and functions, radicals, rational functions and equations. Required Materials: any type of calculator.

3201 Geometry

(1 credit) Grades: 9th, 10th, 11th, 12th

Prerequisite: Algebra I

This course covers the three key aspects of geometry: measuring, reasoning, and applying geometrical concepts. Students will learn geometric properties for polygons, triangles, circles, area and volume of polygons and solids, similarity and congruence, trigonometry, as well as the development of a logical proof. Compass and straightedge constructions will also be introduced.

Required Materials: any type of calculator, protractor, compass, and ruler.

3202 Advanced Geometry Honors

(1 credit) Grades: 9th, 10th, 11th, 12th

Prerequisites: Recommended letter grade of B+ or better in Algebra I and teacher recommendation. This fast-paced, course introduces students to the basic notions of geometry, introduction and emphasis on proof and logic, parallelograms and polygons, triangle congruence, perimeter and area, shapes in space, surface area and volume, similar shapes, circles, trigonometry including Law of Sines and Cosines, golden ratio and fractals. Compass and straightedge constructions will also be introduced. With teacher recommendation, Advanced Geometry Honors may be taken concurrently with a JMCHS Algebra II class.

Required Materials: any type of calculator, protractor, compass, and ruler.

3301 Algebra II

(1 credit) Grades: 9th, 10th, 11th, 12th

Prerequisites: Geometry, Secondary Math II Honors or Advanced Geometry and teacher recommendation

Highly motivated students who have demonstrated proficiency in Algebra I and Geometry may take Algebra II as freshmen. This year-long course is designed as a follow-up to Algebra I. The course will begin with a review of solving single variable equations, polynomials, and factoring. The course will continue to cover radicals, exponents, the quadratic formula, complex numbers, conics, and an introduction to trigonometry. The course will continue to provide preparation for higher level math.

Required Material: A TI-83 Plus, TI-84 or TI 84 Plus calculator. TI-Nspire CAS prohibited.

3302 Advanced Algebra II Honors

(1 credit) Grades: 9th, 10th, 11th, 12th

Prerequisites: Recommended letter grade of B+ or better in Geometry, Secondary Math II Honors or Advanced Geometry Honors and teacher recommendation.

This course reviews and expands the student’s knowledge of Algebra through the study of properties of real numbers, operations on real and complex numbers, and solutions to equations and systems of equations. Quadratic systems, investigation of polynomial functions, matrices, conic sections, and an introduction to trigonometry is also studied.

Required Material: A TI-83 Plus, TI-84 or TI 84 Plus calculator. TI-Nspire CAS prohibited.

3401 College Prep Math

(1 credit) Grades: 11th 12th

Prerequisites: Algebra II or Advanced Algebra II

Honors and teacher recommendation.

This course is offered as an alternative for college-bound students who were not recommended for Pre-Calculus or do not feel confident taking Pre-Calculus. It is designed to provide students with the foundational skills and understanding prerequisite to College Algebra, Statistics or Pre-Calculus. This course reviews and expands the student’s knowledge and understanding of linear equations, foiling and factoring, and functions and their graphs. Students will solve linear and quadratic equations and linear inequalities. This course will also take a tour into a variety of trigonometry concepts including but not limited to the unit circle, graphing trigonometric functions, and applications of trig. We will also be exploring many college-level math concepts like complex numbers, set theory, and some proof examples.

Required Material: TI-83 Plus, TI-84 or TI 84 Plus calculator. TI-Nspire CAS prohibited.

3402 Pre-Calculus

(1 credit) Grades: 10th, 11th, 12th

Prerequisites: Algebra II or Advanced Algebra II

Honors and teacher recommendation. This course covers linear relations, theory of equations, matrices, vectors, trigonometry, arithmetic and geometric sequences and series, polynomial functions, transformation of functions, polar and parametric equations, linear regression methods, and an introduction to probability and statistical methods. The main goal of Pre-Calculus is to prepare students for further study of mathematics at the college level. Students will expand their knowledge of polynomial, exponential, and logarithmic functions to include rational, piecewise, and trigonometric functions.

Required Materials: TI-83 Plus, TI-84 or TI 84 Plus calculator. TI-Nspire CAS prohibited.

3403 Calculus

Honors

(1 credit) Grades: 11th, 12th

Prerequisites: Pre-Calculus or AP Pre-Calculus and teacher recommendation.

This course covers the three branches of Calculus: limits, differentiation, and integration. Problem solving, applications and processes using Calculus are emphasized. An introduction to multivariable Calculus is also included. This course is for students who prefer an application-based rather than theory-based Calculus course.

Required Materials: TI-83 Plus, TI-84 or TI 84 Plus calculator. TI-Nspire CAS prohibited.

3404 / 3409 AP Calculus AB / AP Calculus Lab AB (1 credit for each course) Grades: 11th, 12th

Must register for both courses.

Prerequisites: Recommended letter grade of B or better in AP Pre-Calculus or Calculus Honors. Students must apply to be considered for this course. Department approval required. This course is designed for learning the three branches of Calculus, limits, derivatives, and integrals using a multi-representational approach (graphical, numerical, analytical, and verbal). Students will study differential and integral Calculus. Problem solving and applications of differential and integral Calculus are emphasized. The Lab portion of the course is provided for students to receive individual help and time to work on Calculus assignments. Tests are frequently given during lab. New material is not covered in the Lab. Required Material: A TI-84 Plus Silver Edition calculator or equivalent.

3405/3409 AP Calculus BC / AP Calculus Lab BC

(1 credit for each course) Grades: 11th, 12th

Must register for both courses.

Prerequisites: AP Calculus AB or AP Pre-Calculus with summer online enrichment. Students must apply to be considered for this course.

Departmental approval required. This course is designed to emphasize conceptual understanding of Calculus using a multirepresentational approach: graphical, numerical, analytical, and verbal. Concepts such as derivatives, integrals, limits, approximation, applications, and modeling sequences and series, vectors, parametric and polar functions are studied. The Lab portion of the course is provided for students to receive individual help and time to work on Calculus assignments. Tests are frequently given during lab. New material is taught in lab.

Required Material: A TI-84 Plus Silver Edition or equivalent.

3406 AP Pre-Calculus

(1 credit) Grades: 10th, 11th, 12th

Prerequisites: Recommended letter grade of B+ or better in Algebra II or Advanced Algebra II Honors and Teacher recommendation. This course covers topics to prepare students for Calculus. Students will develop multiple strategies for solving equations, analyzing polynomial, rational, exponential, logarithmic, trigonometric and polar functions and their graphs. The course will include solving complex problems, modeling and rates of change. Topics include functions involving parameters, conic sections, vectors, matrices, probability and statistics, sequences and series.

Required Material: TI-83 Plus, TI-84 or TI 84 Plus calculator. TI-Nspire CAS prohibited.

3407 Statistics

(1 credit) Grades: 11th, 12th

Prerequisite: Pre-Calculus, AP Pre-Calculus

This statistics course is designed to introduce students to the major statistical concepts and to equip them with tools for collecting, analyzing, characterizing, and drawing conclusions from data. Students will be exposed to four broad conceptual themes: exploring data, statistical inference, planning a study, and using probability and simulation to anticipate patterns. With teacher recommendation, Statistics may be taken concurrently with a JMCHS Pre-Calculus class Required materials: TI-83 or TI 84 calculator.

3408 AP Statistics

(1 credit) Grades: 11th, 12th

Prerequisites: Pre-Calculus or AP Pre-Calculus and teacher recommendation. Students must apply to be considered for this course. Department approval required.

AP Statistics is the high school equivalent of a one semester, introductory, non-calculus-based college statistics course. In this course, students develop strategies for collecting, organizing, analyzing, and drawing conclusions from data. Student’s design, administer, and tabulate results from surveys and experiments. Probability and simulations aid students in constructing models for chance behavior. Sampling distributions provide the logical structure for confidence intervals and hypothesis tests. Students use a TI83/84 graphing calculator, Fathom and Minitab statistical software, and Web-based Java applets to investigate statistical concepts. With teacher recommendation, AP Statistics may be taken concurrently with AP Pre-Calculus.

Required Material: TI-83 or TI-84 calculator.