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Algebra II w/ AP AB AP Calculus BC AP Calculus III College Algebra Pre-Calculus Pre-Calculus Career Internship Program

Mathematics

101 Mr. Collin Voigt, Chair TEL: SC: (708) 579-6580, NC: (708) 579-6410 FAX: (708) 579-6038 EMAIL: [email protected]

Mr. Joseph Barker, Assistant Division Chair Ms. Annette Orrico, Assistant Division Chair TEL: SC (708) 579-6581, NC (708) 579-6412 TEL: SC: (708) 579-6583, NC: (708) 579-6411 FAX: (708) 579-6038 FAX: (708) 579-6038 EMAIL: [email protected] EMAIL: [email protected]

Mathematics Department Philosophy Th e mathematics curriculum has been developed to help students value mathematics, become confi dent in their abilities to do mathematics, become mathematical problem solvers, and to communicate and reason mathemati- cally. Students, as a result of the high school mathematics experiences, should be able to model problems with the appropriate operations and , apply a variety of approaches and techniques to solve problems, understand the underlying mathematical features of problems, see the applicability of mathematical ideas to common and complex problems, use logical reasoning to present an argument, and employ technology to explore mathematical ideas and solve problems.

Students who successfully completed Algebra (Accel) in Grade 7th or 8th grade will receive one unit of high school credit on a pass/fail basis. Th e high school credit will be awarded aft er successful completion of one year of mathematics while enrolled in high school. Mathematics

102 Mathematics c academic c fi 103 regularity Look in repeated reasoning. and express for Look and make use structure. of for Construct viable others. of and critique the reasoning arguments Model with mathematics. with precision. Model to Attend and persevere sense Make in solving problems of them. Reason abstractly and quantitatively. tools strategically. appropriate Use Mathematics Department Standards Mathematics Standard VII Standard VIII Standard Standard VI Standard Standard V Standard IV Standard Standard II Standard III Standard Standard I Standard Common Core State Standards for Mathematical Practice Mathematical for Standards Common Core State LTHS Mathematics Principles Principles Mathematics LTHS The LTHS Mathematics Department has adopted the following eight principles in conjunction principles the following eight has adopted Department Mathematics The LTHS These principles and State Standards. and the Common Core State Standards with both the Illinois speci Additionally, challenge students. courses and academic programs, guide standards course standards have also been developed. These are distributed to students at the beginning of distributed to students at are have also been developed. These course standards annual course. each semester or Requirements Mathematics and Advanced Placement (AP)

While a minimum of three years of high school math- A student may enroll in the following mathematics AP ematics is required for graduation, many students courses: take four years of mathematics. Th e state of Illinois requires each student to take an Algebra and a Geom- 1. AP Calculus AB Students who have successfully com- etry course for two of the three required credits. It is pleted Trig/Pre-Calculus (Accel or Prep) may enroll in suggested that students who desire to attend college AP Calculus AB. Th is two-semester course is especially study requirements specifi c to their school of inter- designed for strong students with interest in mathemat- est. Most state universities in Illinois require three ics and/or science. Completion of this course qualifi es years of mathematics through Advanced Algebra for students to take the AP Calculus AB Examination. unconditional admission. Pre-Calculus may also be required. 2. AP Calculus BC Students who have successfully completed (Trig)/Pre-Calculus (Honors or Accel) may Placement enroll in AP Calculus BC. Th is two-semester course is especially designed for excellent students with high Th e Division Chair evaluates the performance of each interest in mathematics and/or science. Completion of incoming student. Placements is based upon the fol- this course qualifi es students to take the AP Calculus BC lowing performance indicators. examination.

• Information from the eighth grade teacher’s about the 3. AP Statistics Students who have successfully complet- incoming freshman using current math grades and ed Algebra II or above may enroll in AP Statistics. Th is student ability. two-semester course is especially designed for students • LT will review the results and recommend further with an interest in an introductory, non-calculus based changes based on skills and supports. course in statistics. Many college majors require a statis- tics course. Th is course qualifi es students to take the AP Parents are then notifi ed of the fi nal placement. Stu- Statistics examination. dents must achieve specifi c grade in Algebra Accel for placement into Geometry.

Incoming Freshmen

Students who are placed beyond Algebra (Accel) will receive credit for Algebra only aft er s/he has success- fully completed Geometry. Please note that credit will not appear on the student’s transcript until the end of the second semester of sophomore year. Th is credit will not apply to the three years of math credit required by the state of Illinois for high school gradu- ation, nor will the level be designated.

Due to the sequential nature of mathematics courses, students who receive F’s for fi rst semester grades may have a level change, be dropped to a diff erent course, and/or enter a staggered semester course.

Calculator Requirements

All Math/Science courses require a graphing . Families should only purchase a graphing calculator if they do not already own one. Please call your student’s math teacher if you have any questions. Mathematics

104 Algebra (Prep) 131/132 Algebra (Accel) 141/142 Credit: 1 Level: III Credit: 1 Level: IV Grade Off ered: 9, 10 Annual MA4136 Grade Off ered: 9 Annual MA4146 MA4137 MA4147 Prerequisite: None Prerequisite: None

Th is introductory course in algebra intensively studies In Algebra (Accel), the language of algebra is studied the language of algebra. Students begin their study of intensely. Students begin their study of the real num- the real system and its properties. Th e course ber system and its properties. Th e course is designed is designed to convey an understanding of the meaning to convey an understanding of the meaning and use of and use of variables, formulas, equations and inequali- variables, formulas, equations and inequalities, expo- ties, exponents, functions, graphs, and an introduction nents, functions, and graphs. Several real life applications to probability and statistics. Th e fundamental processes are used to enhance these concepts. Th e signifi cance of with algebraic expressions are taught, including simple word problems and of strategic problem solving is em- cases of factoring and work with algebraic fractions. Th e phasized throughout the course. Algebra (Accel) moves signifi cance of problems and of problem solving is em- at a quicker pace than Algebra (Prep) and requires profi - phasized throughout the course. Material covered in this ciencies with and without the calculator. course will not only provide students with a foundation of algebra to be applied in future courses, but will also prepare students for college level course work.

Algebra (Prep) 132/131 (staggered) Credit: 1/2 Level: III Grade Off ered: 9, 10 Fall MA4936 Spring MA4937

Prerequisite: Failure of 1st semester Algebra (Prep) or Accel)

Did You Know?

Th e National Science Foundation estimates that 80% of the jobs created in the next decade will require some form of math and science skills.

Real advice about actuary jobs: As with many other fi nancial jobs, communication skills are almost as important as mathematical savvy. “Students planning an actuarial career can choose a school that off ers an actuarial science major, or take appropriate courses in calculus, probability, statistics, accounting, Mathematics , and fi nance to be prepared to learn actuarial techniques and applications.”

American Council on Education, Sept. 2008

105 Mathematics (Accel) 241/242 Algebra IIw/Trigonometry ments. or preparation forentrance school post-high require- foundation for future study of mathematics and science of students desire who astrong four year mathematical ofmethod presentation isdesignedto needs meetthe , law of ,and .Th and right , trigonometry, and logarithms, complex , conic sequences sections, matrices, quadratic functions, , exponents, It includes following the topics: systems of equations, III Level: MA6232 an algebraic and graphic approach to learning concepts. main topics of Algebra. It contains an emphasis on both MA6237 Th Prerequisite: (Prep) Geometry Annual 11, MA6231 12 Grade Off Credit: 1 231/232 Algebra IIw/Trigonometry (Prep) tions, ,law of cosines,and radian measure. culus (Accel) such unit as the circle, trigonometric func- will introduce many for concepts Trig necessary Pre-Cal- ability. In , Algebra IIw/Trigonometry (Accel) andces, logarithmic prob- functions, series sequences, IV Level: MA7242 includesalso topics the of functions, matri- topics listed for Algebra IIw/Trigonometry (Prep) and MA7247 Th Annual Prerequisite: (Accel) Geometry MA7241 11 Grade Off Credit: 1 iscourse presents amore indepth treatment of the is course focuses on iscourse reviewing focuses and extending the • and administration approval. Independent Study may asan not taken semester/annual 8th be course. application for Independent Study. In students allcases, must parent, secure teacher, counselor, divisional, Independent StudyIndependent ee: 0 Annual MA6236 10 ered: ee: ,1 Ana MA7246 Annual 9, 10 ered: Under specifi c conditions asoutlined on p. 25of the e 106 course. with graphing the calculator isamajor emphasis inthis conic and sections, rational functions. Problem solving probability, elementary functions, series, sequences, polynomial functions, equations, logarithmic (Honors)Geometry V Level: MA8252 w/Trigonometry (Prep) and includes also topics the of Th MA8257 or (Accel) Geometry Annual Prerequisite: MA8251 11 Grade Off Credit: 1 Algebra IIw/Trigonometry (Hon) 251/252 iscourse presents topics the contained inAlgebra II ee: ,1 Ana MA8256 Annual 9, 10 ered: Guide , students may make Mathematics e is course course is Th also includes e course is course can earn dual credit Th erential calculus of several variables several variables of calculus erential ered: ered: only 12 Annual MA6321 ered: ered: 12 11, Spring MA9852 Th post course. calculus is a one-semester is course College (Prep) Algebra 1 Credit: Off Grade Prerequisite: Algebra II w/Trigonometry (Prep) Algebra is designed to smooth the transition to College completion math at a community college. Successful Algebra places the student in credit bearing of College MA6322 any other commu- math at the College of DuPage and of the part- nity college in the state of Illinois. Because Level: III the full year of nership with COD, students must take Algebra to be eligible for placement into credit- College on connecting bearing math. Course content will focus math concepts with real-world problem solving, college and career readiness, and career exploration. Students ALEKS tests and pathways will also use computerized to enhance basic mathematical skills. Students who plan to study engineering, advanced math or advanced sci- Prep. Trig/Pre-Calculus ence in college should take Algebra does not count towards the 3 year math College graduation requirement. one-third of the course will involve the concept of math- of the concept will involve the course of one-third algebra. linear to as applied proofs ematical Valley. canearn Moraine dual credit through Calculus III 1/2 Credit: Off Grade Prerequisite: APCalculus BC Th Included calculus. in multivariable topics covers course solid ana- three-dimensions, and two in vectors are diff geometry, lytic and gradients), and derivatives directional (including Level: V Th surface . line and spaces in n-dimensional vector of a study algebra, linear inner numbers, the complex over and Euclidean linear eigenvectors, and spaces, eigenvalues product and spaces, vector of applications transformations, methods. numerical Valley. Moraine through 107 ear independence,ear linear erent representations of func- of representations erent erent representations of functions, to to functions, of representations erent Successful completion of AP Calculus of completion Successful Trig/ (Accel) or Pre-Calculus or (Accel) Trig/Precalculus applica- methods series and its with nite rm written work, to implement experi- implement to work, rm written ered: ered: 12 11, Fall MA9951 ered: ered: 12 11, Annual MA9651 ered: ered: 12 11, Annual MA9551 a multi-representational emphasizes e course Calculus BC rm written work, to implement experimentation, experimentation, implement to work, rm written

space. vector and vectors of is the study is course ap- a multi-representational emphasizes e course infi elds, and transformations, eigenvalues, eigenvectors, and applica- and eigenvectors, eigenvalues, transformations, Approximately transformations. and matrices of tions Credit: 1/2 Credit: Off Grade Th deter- spaces, matrices, vector vectors, include Topics lin algebra, matrix minants, Level: V Linear Algebra Prerequisite: BC AB or approach to calculus with concepts, results, and prob- and results, concepts, with calculus to approach and numerically, geometrically, expressed being lems and students by used regularly is Technology verbally. diff reinforce to teachers confi to tions, AP results. assist in interpreting to and mentation, college of semesters two of Calculus BC is the equivalent to plan who should take this course Students calculus. thetake AP Calculus BC Exam. tions. Th tions. AP Calculus BC is primarily concerned with developing developing AP Calculus with BC concerned is primarily calculus: of the concepts of understanding the student’s integrals, derivatives, limits, and graphs Functions, fi AP 1 Credit: Off Grade (Honors) Prerequisite: Pre-Calculus MA9652 Level: V AP Calculus AB is primarily concerned with developing developing with concerned AP Calculus AB is primarily calculus: of the concepts of understanding thestudent’s integrals. and derivatives, limits, and graphs Functions, Th problems and results, concepts, with calculus to proach verbal- and numerically, geometrically, expressed being teachers and students by used is regularly Technology ly. diff reinforce to Prerequisite: MA9552 (Honors) confi AP Calculusis AB results. in interpreting assist to and Students calculus. college a semester of of the equivalent take the to AP Calcu- plan who take should this course AB Exam. lus AP CalculusAP AB 1 Credit: Off Grade Level: V Mathematics of right using Pythagorean the Th students for college level calculus courses. gated. Material covered course inthis willhelp prepare trigonometry and conics investi- willbe problems, and various enrichment topics. Additionally, V Level: course willstudy coordinate problems, geometry locus cel) at agreater depth and faster pace. Students inthis Th Prerequisite: Algebra (Accel) Grade Off Credit: 1 (Hon) 151/152 Geometry MA8167 using Pythagorean the Th cosine, and tangent for acute of right triangles tions. Students willinvestigate defi the areand taught symmetry using geometric transforma- diverse context. Th canthey apply skillsfrom algebra toinamore geometry attributes and relationships of geometric that objects so coordinatesmerical and geometric points, aswell asthe Students correspondence the willlearn nu- between ences using defi IV Level: Students to willbegin formalize experi- geometry their out coordinates) and analytically (with coordinates). , studied synthetically both (with- Th Prerequisite: Algebra (Accel) Grade Off Credit: 1 (Accel) 141/142 Geometry MA7147 defi to geometric concepts. Students willinvestigate the III Level: ing and proof, and apply existing knowledge of algebra Students willdevelop an understanding of ,reason- MA5137 lines, angles, polygons, circles and 3-dimensional solids. orems and properties of Euclidean geometry, including: Th (Prep) Algebra Prerequisite: Grade Off Credit: 1 (Prep) 132/131 Geometry iscourse includes topics all the (Ac- inGeometry iscourse includes topics devoted primarily to iscourse includes athorough investigation of the- the nitions of , cosine, and tangent for acute angles ee: ,1 Annual MA8166 9,10 ered: MA7146 Annual 9, 10 ered: MA5136 Annual 10 ered: nitions and developing careful proofs. econcepts of congruence, similarity, eorem. nitions of sine, eorem. 108 failure of Algebra IIw/Trig (Hon)Pre-Calculus 351/352 III Level: Prerequisite: (Prep)Staggered or Geometry 1/2 Grade Off Credit: 222/221 (staggered) Algebra IIw/Trigonometry (Prep) MA6241 Geometry Fall III Level: Algebra (Prep Staggered) or Failure of Prerequisite: Grade Off Credit: 1 MA6147 (Prep) 131/132(staggered) Geometry MA6142 Annual MA6146 MA8352 MA8357 MA8351 approach. class inorder to mathematics learn from amultifaceted culator graphing isincorporated technology into the tistics, and other topics indiscrete mathematics. Cal- 12 11, topics intrigonometry, matrices, , sta- Th V Level: Algebra II(Accel) (Accel) and Geometry Prerequisite: Grade Off Credit: 1 iscourse isan extensive study of functions, advanced ee:1,1 Srn MA6242 Spring ered: 11,12 MA6141 Annual ered: 10 ee: 0 nul MA8356 Annual 10 ered: Mathematics er attend- er will e student

their for is responsible e student the internship for will apply e student ered: ered: 12 11, Fall MA5551 Th nal grade. is the It credit. duplicate be taken for may is course student the career-minded for is designed is course during 90 hours of a minimum will work e student 109 Career Internship Program Program Career Internship own transportation to and from the work place. place. the work from and to transportation own Th recommend to team each department of sole discretion does not Application internship. a work for the student admission. guarantee Credit: 1/2 (dc) Credit: Off Grade Spring MA5552 Th the stu- that experiencewho area is seeking in an work aft or graduation upon Level:IV pursue wishes to dent Th college. ing credit. they receive wish to that the department through MA5558 Summer Th MA5559 Th the course. for credit thesemester for devel- the supervising with weekly contact teacher, have the experience, based be upon project a culminating op the supervising the employer by and teacher evaluated the fi for is is is ered: 11, 12 MA7341 Annual ered: 11, 12 Annual MA6331 ered: 11, 12 MA9451 Annual dence intervals. Strong writing skills are as impor- skills are writing intervals.dence Strong including functions of study extensive is an is course Algebra Advanced look in depth at is a more is course level in college course introductory is an is course trigonometric, linear, quadratic, polynomial, rational, rational, polynomial, quadratic, linear, trigonometric, addition, sequences. In and logarithmic, exponential, vectors, graphs, polar numbers, complex of the topics Th studied. are continuity and limits, parametrics, Credit: 1 Credit: Off Grade Prerequisite: II (Accel) Algebra MA7342 Th Level: IV who do not students and course rigorous extremely an (Accel) w/Trigonometry Algebra Advanced complete in the enrolling about cautioned are better a B or with an with this course who complete Students course. for higher will be B or prepared grade of average above Calculus in college. Pre-Calculus (Accel) 341/342 Pre-Calculus (Accel) Th is a pre-requisite a perspective and from topics Course top- taking Calculus in college. student any for radicals, exponents polynomials, functions, ics include: para- sequences & series, trigonometry, & logarithms, and labs Exploratory probability. and metric equations, both for will be foundation the investigations calculator devel- and Algebra Advanced from concepts reviewing topics. between deeper connections oping Pre-Calculus (Prep) 331/332 Pre-Calculus (Prep) 1 Credit: Off Grade (Accel) or (Prep) II Algebra Prerequisite: MA6332 Level: III better a C or with Th includ- most careers and majors college Most statistics. and engineering, business, care, health education, ing statistics. of knowledge the social sciences all require students prepares this course of completion Successful include: Course topics exam. the AP Statistics for experi- design of regression, linear statistics, descriptive 10 weeks and probability, of study in depth an ments, and tests hypothesis including statistics, inferential of confi succeed. skills to algebra strong as tant AP Statistics AP 1 Credit: Off Grade II Algebra Prerequisite: MA9452 Level: V A17 GeometryPrep131(Staggered) AlgebraPrep131(Staggered) MA6147 MA4937 Spring only GeometryPrep132(Staggered) AlgebraPrep132(Staggered) MA6146 MA4936 Fall only Staggered Semester Pre-Calc Accel 341/342 Pre-CalculusHonors351/352 MA7341/2 GeometryHonors151/152 MA8356/7 MA8166/7 MA7146/7 Geometry Geometry Prep131/132 MA5136/7 Accel AlgebraIIw/Trig Accel 241/242 MA8256/7 AlgebraIIw/Trig Prep231/232 141/142 MA7246/7 MA6236/7 Algebra Prep131/132 MA4136/7 Algebra Accel 141/142 MA4146/7 Annual Sophomore Courses AlgebraPrep131(Staggered) MA4937 Spring Only GeometryHonors151/152 MA8166/7 Geometry Accel 141/142 Algebra Accel 141/142 MA7146/7 AlgebraPrep131/132 MA4146/7 MA4136/7 Annual Freshman Courses Mathematics When choosing Annual Courses,youwillneedthe Mathematics Classes Algebra IIw/Trig Honors251/252 110 A12 GeometryPrep131(Staggered) MA6142 AlgebraIIw/Trig Prep221 Calculus MA6242 III (Staggered) MA9852 Spring only GeometryPrep132(Staggered) MA6141 AlgebraIIw/Trig Prep222 Linear MA6241 Algebra (Staggered) MA9951 Fall only Staggered Semester Career Internship MA5551/2 Fall orSpring College Algebra (Senioronly) MA6321/2 AP Statistics MA9451/2 MA7341/2 Pre-CalculusHonors351/352 Pre-CalculusPrep331/332 MA8351/2 MA6331/2 MA6321/2 College AP CalculusBC MA9651/2 AP Calculus AB Algebra MA9551/2 AlgebraIIw/Trig Accel 241/242 MA7241/2 AlgebraIIw/Trig Prep231/232 MA6231/2 AlgebraPrep MA4136/7 Annual Junior andSeniorCourses fi rst andsecondsemestercodes. Pre-Calculus Accel 341/342 341/342 Pre-Calculus Accel