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Mathematics

Centennial High School offers a full mathematics curriculum to prepare students for college and technical
careers.  The college preparatory classes Algebra II, Geometry, Pre-Calculus, and Calculus, also have the
option of an honors class, which is more challenging than regular classes.  All students are required to have
 three math classes for graduation. 

All college-bound and technical school students are encouraged to take a math course during their senior year. 
Many colleges give math placement tests and require students to take remedial math for which parents
must pay, but students do not receive credit.  Advanced Algebra helps prepare the student for college math.

The following pages present the possible course sequences for Centennial High School students in the field of
mathematics.  We encourage all students, regardless of career or educational plans, to take as much math as possible.

(Math Teacher’s Signature is required for ALL math courses on student registration form).

      Traditional Mathematics Course Sequence

 

 Level 1

 

 

 

Foundations II

 

This level is for students not ready to enter Algebra I or equivalent.  Courses at this level are not required.

 

 Level 2

 

 

 

Algebra I

 

At least one of the three mathematics credits required for graduation must be from Level 2 or beyond.

 

 Level 3

 

 

 

Algebra II, *Geometry, or Technical Geometry

 

The University Path mathematics requirements are Algebra I, Algebra II, and an advanced mathematics course.

 

 Level 4

 

 

 

Algebra II, *Geometry, or Technical Geometry

 

The University Path mathematics requirements are Algebra I, Algebra II, and an advanced mathematics course.

 

 Level 5

 

Adv. Algebra &      Trigonometry             Statistics

 

Pre-Calculus Calculus

 

Courses at this level provide study in advanced mathematics.

*Geometry is considered an advanced mathematics course.

       

Foundations II
Grade Level:  9th and 10th
Credit:  1 (full-year)
Foundations II is a review of topics taught in Foundations I with emphasis given to algebraic thinking, statistics & probability, and spatial sense.

Algebra IB
Grade Level:  9th
Credit:  1 (full-year)
Successful completion of Algebra 1A
Algebra IB includes a brief review of first semester Algebra I.  It explores additional topics, such as, solving linear inequalities, systems of equations, polynomials, factoring, quadratic and exponential functions, and rational and radical expressions. 

Algebra I
Grade Level:  9th and 10th
Credit:  1 (full-year)
(Recommend B minimum in prior math)
Algebra I includes basic properties, rational numbers, exponents, radicals, polynomials, factoring, linear function and inequalities, linear equations, graphing, and open sentences.  Students become acquainted with the language of algebra and its application to the real world.  Strong arithmetic skills and the ability to use fractions, percents, and decimals are required.

Geometry Standard
Grade Level: 9th thru 12th 
Credit:   1 (full-year)
Successful completion of Algebra I
In Geometry students gain an understanding of basic geometry structures with emphasis on developing reasoning skills.  Content includes relationships between points, lines, and planes, congruence, similarity, polygons, circles, area and volume, coordinate geometry, and introductory trigonometry.  A scientific calculator is required for second semester.

Geometry Honors
Grade Level:  9th thru 12th
Credit:   1 (full-year)
Successful completion of Algebra I & approval
Geometry Honors covers all topics of Regular Geometry, but in considerably greater depth and at a faster pace.  Students are required to do individual projects regularly.  Additional units covered include transformations in the plane, space coordinate geometry, introductions to topology and non-Euclidean Geometry, logic, and history of geometry.  A scientific calculator is required for second semester. 

Algebra II
Grade Level: 10th thru 12th 
Credit:   1 (full-year)
Successful completion of Algebra I and Geometry       
Algebra II is a college preparatory course that builds upon skills acquired in Algebra I.  A command of the uses of fractions and negative numbers is needed.  Topics include number systems, relations and functions, exponents and radicals, polynomial functions, quadratic equations, systems of equations, rational expressions, probability and statistics, and the complex number system.  A graphing calculator is required for this course.

Algebra II Honors
Grade Level: 10th and 11th 
Credit:   1 (full-year)
Successful completion of Geometry Honors with a minimum of B average recommended 
Algebra II Honors covers all of the topics in Regular Algebra II, but is considerably faster paced and goes into greater depth in most topics.  A strong background in Honors Algebra I is required for this class.  A graphing calculator is required for this course.

Advanced Algebra & Trigonometry
Grade Level: 11th and 12th 
Credit:   1 (full-year)
Successful completion of Algebra I, Algebra II, & Geometry
Advanced Algebra and Trigonometry is designed for college bound seniors and juniors who plan to take Pre-Calculus as their next math course..  This course reviews concepts taught in Algebra II and explores additional topics such as sequences, series, matrices probability, statistics and trigonometry.  A graphing calculator is required for this course.

Pre-Calculus
Grade Level:  11th and 12th  
Credit:   1 (full-year)
Successful completion of Algebra I, II (min. B
average)  and Geometry              
Pre-Calculus is a full year course that integrates Trigonometry and areas of higher mathematics including analytical geometry, sequences and series, probability, and functions.  It should be taken in preparation for college math.  A graphing calculator is required for this course.

 

Pre-Calculus Honors
Grade Level:  11th and 12th  
Credit:   1 (full-year)
Successful completion of Algebra II Honors
(minimum B average recommended)
Pre-Calculus Honors is a one-year course designed for the student who plans to seek a four-year college education with a technical major such as business, science or mathematics.  This class is a challenging, fast-paced, in-depth study of the following topics:  trigonometry, complex numbers, analytical geometry, sequences and series, probability, exponential and logarithmic functions, graphs, and vectors.  Students are required to have a graphing calculator for this course. 

Calculus AP (AB)
Grade Level:  12th  
Credit:   1 (full-year)
Successful completion of Algebra II, Geometry, Honors Pre-Calculus (min.. B avg. recommended)
  
Calculus AP is a preparatory course for the Advanced Placement Test for college credit.  First semester covers functions, limits, differentiation, and application of differentiation.  Second semester covers integration and its application. The course moves quickly and emphasizes the theoretical aspects of calculus as well as its applications.  Students will practice with a comprehensive review prior to the AP exam and are expected to take the College Board AP exam in May.  A graphing calculator is required for this course.

Calculus AP (BC)
Grade Level:  11th- 12th
Credit:  1 (full-year)
Successful completion of Honors Pre-Calculus & Teacher recommendation
(Students receiving 1 credit in AB may only receive .5 credit in BC)
AP Calculus BC is an extension of Calculus AB rather than an enhancement; common topics require a similar depth of understanding.  A graphing calculator is required for this course.  In May students will take the College Board AP Calculus BC examination; many universities grant credit based on the score attained.  Calculus BC includes concepts of the AB course as well as additional concepts beyond those of AB course:  further applications of integrals, parametric, polar, and vector functions; sequences, series, and polynomial approximations; advanced techniques of integration. 

Statistics AP                                
Grade Level: 11th or 12th  
Credit:   1 (full-year)
Prerequisites:  B in Pre-Calculus Honors
Statistics AP is intended for the college bound student, but it is not a preparation for calculus.  Topics include data analysis, data interpretation, systematic counting, probability, sampling distribution, and statistical inference. Students will practice with a comprehensive review prior to the AP exam and are expected to take the College Board AP exam in May.  A TI-83t calculator is required for this course.  (There must be a minimum number of 15 students for this class to be a scheduled course).

ACT Review Mathematics A or B
(Pending State approval)
A:  Successful completion of Algebra II
B:  Not completed Algebra II
Credit:  .5 (fall semester course)
This course provides students with skills and competencies needed to be successful on the mathematics ACT.   Students will become familiar with the format and the scoring of the ACT, cover mathematics standards useful for the ACT, learn test taking skills, and receive individualized instruction to improve scores.

Gateway Algebra
Credit:  1 (full-year) elective
Prerequisite:  Non-passing Score on Gateway Test
This course is designed to provide remedial practice through a different approach to all students who have not been successful in passing the Gateway Algebra Test.  Problem solving skills will be explored through hands-on activities involving real life situations.  The credit for this course does not apply to the three years of mathematics credit required by the state of Tennessee and WCB.

Technology Based Intervention
Credit: 1 (full-year) elective
This course or the specific Gateway course is required of any student not successfully completing the Gateway end of course test.  The course may be offered as a credit course or through the directed study class.  The credit is an elective credit only and may not be used as a credit towards the three (3) math required credits.  Placement will be assigned.

Consulting and/or Direct Services through Student Support Services are available through an IEP for:  Foundations II, Algebra I, & Geometry

 

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