MATHEMATICS

UPDATED: 1-2015

MATHEMATICS COURSE PROGRESSIONS


The Mathematics Department seeks to serve students by assisting each student in developing the knowledge and skills he or she will find useful in further courses of study or in real life situations. Most freshman enter this progression at the Algebra I level.  Students that have not previously taken honors math courses may enter the honors math program through an application process.

The Standards for Mathematical Practices from the Common Core:
  1. Make sense of problems and persevere in solving them. 
  2. Reason abstractly and quantitatively. 
  3. Construct viable arguments and critique the reasoning of others. 
  4. Model with mathematics. 
  5. Use appropriate tools strategically. 
  6. Attend to precision. 
  7. Look for and make use of structure. 
  8. Look for and express regularity in repeated reasoning.
In order to meet the varying demands, needs and abilities of our students and to address all of the Performance Indicators in the Common Core, the Mathematics Department offers a wide range of courses. We strongly encourage students to take a math course in each of their four years in high school since the single greatest predictor of success in college or technical college courses is completion of four years of high school mathematics. Three credits in mathematics are required for graduation.


NOTES:

Honors courses are available in Geometry, Algebra II, Pre-calculus and Calculus. AP classes are offered in Calculus and Statistics. Students wishing to take an honors math class must meet the prerequisite criteria for the desired class and complete a time management activity. An honors application must be completed to enter an honors math class for the first time. Specific criteria for each course are listed below. To continue in honors math classes, students must meet all standards and work to exceed on some standards.


Entry into any course is dependent upon successful completion of the prerequisites listed for that course in the Program of Studies. When a student has not met the standards in a math course, that student is inadequately prepared for success in the next math course.


Students who are having difficulty succeeding in their math course may change from one course to another with the permission of the teachers involved in the change. This change must take place by the 5th week of the course. Any course changes after that time will be done only if initiated by the teacher of the course. No changes will be made without the permission of the parent.


Students are required to take at least three math classes, and should plan to leave MDIHS having met the geometry standards. This may mean that some students will take 4 or more math courses. Most 2- or 4-year colleges require Algebra II and many standardized tests (SAT, ACT) include Algebra II skills.




MATH LAB
Open to: 9-12
Elective Credit: 0.5 for semester, 0.25 for quarter

The Math Lab is a supported study hall for any student enrolled in a math class or needing to reinforce math skills from previous grade level math work. Students will receive support for their math class, including review of prerequisite skills, reteaching new concepts, assistance on homework and meeting standards in current or prior math classes. Students enrolled in the Math Lab are expected to use the time to complete their math homework and have the Math Lab supervisor check their work before moving on to homework for other courses. In addition, students may use the Math Lab to practice for the PSAT, SAT, or the Accuplacer Exam. Students successfully attending Math Lab receive 0.5 elective credits for a semester, 0.25 for a quarter. Successfully attending means being present in the Math Lab, working constructively on either their math class work or assigned prerequisite review work or steadily practicing for future exams or courses.


PRE-ALGEBRA
Open to: 9, 10
Credit: 1
Prerequisite: A RIT score of less than 220 on the NWEA Math 6+ exam or recommendation by the 8th grade teacher.

In this course, students will focus on the essential skills needed to be successful in Algebra I. The course will begin by building students’ number sense and computation skills, setting the foundation for higher level algebra concepts. Students will also be introduced to solving equations, inequalities, functions, and graphing. After successful completion of this course, students will be prepared to enroll in Algebra I - Part I.


ALGEBRA I – PART 1
Credit: 1
Open to: 9, 10, 11
Prerequisite: 220 or greater on the NWEA Math 6+ Exam

In Algebra I - Part 1 and Part 2, students will learn Algebra I concepts. This two-part Algebra course is divided into two credits and is studied over two semesters so that students have more time to process and practice the Algebra I standards. In Part 1, students will focus on three major units: solving equations, graphing linear functions, and solving systems of equations. After successful completion of this course, students will take Algebra I Part 2.


ALGEBRA I - PART 2
Credit: 1
Open to: 9, 10, 11
Prerequisite: Successful completion of Algebra I - Part 1.

Students in Algebra I-Part 2 will continue the study of Algebra I concepts that they started in Algebra I-Part 1. There are three major units in this course including exponents, quadratics and statistics. After completion of Algebra I-Part 2, students will be prepared to take Geometry or Applied Geometry.


ALGEBRA I
Credit: 1
Open to: 9, 10
Prerequisite: 240 or greater on the NWEA 6+ exam

Algebra I is a one semester, one credit course. There are six major units studied in Algebra I: solving equations, graphing linear functions, solving systems of equations, exponents, quadratics and statistics. Students satisfactorily completing Algebra I should be academically prepared to successfully complete Geometry and Algebra 2.



APPLIED GEOMETRY
Credit: 1
Open to: 10, 11, 12
Prerequisite: Algebra I - Parts 1 and 2

In this course students will study geometry with a focus on applying mathematical rigor to real-world problems. Students will learn in a discovery approach, identifying the properties of geometry by observing, investigating and forming their own conclusions. Much of the work in class is “hands on.” Students will learn about inductive reasoning, dimensions, symmetry, common geometric shapes, perimeter, area, volume, congruence, similarity, scaling and trigonometric relationships. Students successfully completing this course will be prepared to take Math 11/12.


GEOMETRY 
Credit: 1
Open to: 10, 11, 12
Prerequisite: Algebra I or Algebra I-Parts 1 and 2 

In this geometry course, students learn using a discovery approach, which encourages them to identify the properties of geometry by observing, investigating and forming their own conclusions. Students will learn about inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, congruence, similarity and trigonometric relationships. Students completing this course should plan to take Algebra 2. 


HONORS GEOMETRY
Credit: 1
Open to: 9, 10
Prerequisite: Formal application and acceptance to this course is required. Students eligible for application include those who have scored 255 or higher on the NWEA Algebra I subject test and have been recommended by the 8th grade teacher. (A student who took Algebra I in the 8th grade and who does not meet the prerequisites for this class will be advised to take Algebra I as a first high school math course.)

In this course, students will study geometry with a focus on transformations and logical rigor, with an emphasis on formal proof. Topics include inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, congruence, similarity and trigonometric relationships. This course is designed for students who are excited about math and are willing to work independently to achieve mastery. Students successfully completing this course will be prepared for Honors Algebra II.


MATH 11/12
Open to: 11, 12
Credit: 1
Prerequisite: Completion of previous math courses

Math 11/12 is designed for students who need a third math credit. In this course students will reinforce and extend mastery of basic mathematical concepts. Instruction is provided using a variety of realistic, consumer-oriented applications. Experiential learning provides an introduction to personal banking, buying new and used cars, rents and mortgages, utility bills and more.


ALGEBRA II - Part 1
Credit: 1
Open to:10, 11, 12
Prerequisite: Successful completion of Algebra I and Geometry standards

Algebra II Parts 1 and 2 is a two semester sequence designed for students who wish to continue their math studies beyond Geometry, but need more time to process the material. Together, Algebra II Parts 1 and 2 cover all the standards of the Algebra II curriculum. Each semester students will earn one math credit. Successful completion of this two course sequence will prepare students for either Pre-calculus or Probability and Statistics (CP).


ALGEBRA II- Part 2
Credit: 1
Open to: 10, 11, 12
Prerequisite: Successful completion of Algebra II- Part 1

See description above for the Algebra II, two semester sequence. Topics are listed below in the Algebra II course description.


ALGEBRA II
Credit: 1
Open to: 10, 11, 12
Prerequisite: Successful completion of Algebra I and Geometry standards

In Algebra II, students will review linear equations, systems of equations, and linear functions. Topics include quadratic, polynomial, radical, rational, exponential, logarithmic and trigonometric functions and introductory statistics. Students successfully completing this course will be prepared for Pre-calculus or Probability and Statistics (CP).


HONORS ALGEBRA II
Credit: 1
Open to: 10, 11
Prerequisite: Successful completion of Honors Geometry or a score of 255 or better on the NWEA Algebra I Subject Test

In Honors Algebra II, students will quickly review linear equations, systems of equations, and linear functions. Topics include quadratic, polynomial, radical, rational, exponential, logarithmic and trigonometric functions and introductory statistics. This course exposes students to higher level applications. Students successfully completing this course will be prepared for Honors Pre-calculus or AP Statistics.


PRE-CALCULUS
Credit: 1
Open to: 11, 12
Prerequisite: Algebra II

Students in this course will explore topics in Advanced Algebra and Trigonometry. Topics will include the linear and quadratic functions, polynomial functions, trigonometry of triangles, graphs of trigonometric functions, trigonometric identities, exponents and logarithms. This course is designed for students who are interested in continuing their study of algebra based-mathematics beyond Algebra II. Students who successfully complete this course should be prepared for entry-level mathematics courses at most colleges. Students may take this course concurrently with Probability and Statistics (CP), if scheduling allows.


HONORS PRECALCULUS
Credit: 1
Open to: 11, 12
Prerequisite: Successful completion of Honors Algebra II

Honors Pre-calculus is an honors level course where students study and apply linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions with greater complexity and rigor. These functions will be presented in a variety of ways: verbally, geometrically, numerically, and analytically. In addition, students will be introduced to limits. Students successfully completing this course will be prepared to take Honors Calculus.



PROBABILITY AND STATISTICS (CP)
Credit: 1
Open to: 11, 12
Prerequisite: Algebra II

The growing consensus is that students who want an edge in the competition for top jobs need a foundation in statistics. Besides being among the most useful skills for high schoolers, data analysis is fun and interesting.

Probability and Statistics is an introductory course offered to juniors and seniors who have completed Algebra II. Students study four broad conceptual themes including: exploring data, planning experiments and studies, using probability and simulation, and statistical inference.

This course is intended for college-bound students who are interested in taking a mathematics elective and in becoming well prepared for a college level statistics course.


ADVANCED PLACEMENT STATISTICS
Credit: 1
Open to: 11, 12
Prerequisite: Algebra II

Statistics is one of the most useful and interesting courses a high school student can take, and it has become more and more applicable in recent years. In this course, students will explore advanced topics in statistics, with emphasis on the study and collection of data and the inferences one can make from such data. Concepts include: observing patterns in data, planning experiments and studies, using probability and simulation, and inferring information about the real world from smaller samples.

This course is intended for college-bound students who wish to satisfy a college requirement with the AP exam. This class is fast-paced to cover all of the content tested by the AP examination and to allow time for practice for this exam. This course will be offered in the fall semester, with AP exam practice sessions offered after school during the spring semester.


HONORS CALCULUS
Credit: 1
Open to: 11, 12
Prerequisite: Successful completion of Honors Pre-calculus

Students taking Calculus will continue to look at functions and how they change, from a variety of perspectives: geometrically, verbally, numerically, and analytically. This course will cover the four basic tenets of calculus; limits, derivatives, definite integrals and indefinite integrals. “Real life” applications of calculus will be studied throughout the course. This one semester, college level calculus class will cover the content of the AP curriculum. Students who are successful in this course will be encouraged to take Advanced Placement Calculus where the emphasis will be on preparing for the AP exam in May.


ADVANCED PLACEMENT CALCULUS
Credit: 1
Open to: 11, 12
Prerequisite: Honors Calculus

Students who have successfully completed Honors Calculus will have the option of continuing their study of calculus and preparing to take the AP exam in May. It is important for students to realize that after completing first semester calculus, they will have already learned the required material for the AP Calculus AB exam. This Advanced Placement course will have three main focuses: a continuation of advanced calculus topics (some BC topics), preparation for the AP exam and a project of the student’s own choosing. Completion of this course, along with the first calculus course will provide students with the equivalent of a college course in calculus. Students who wish for an extension of the AP Calculus AB curriculum (and who need less practice for that exam) will be offered the option of independently learning the remaining material covered on the BC exam and taking that exam in May.