School District of Menomonee Falls Math Course Sequence
School District of Menomonee Falls Math Course Sequence
School District of Menomonee Falls Math Course Sequence
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<strong>School</strong> <strong>District</strong> <strong>of</strong> <strong>Menomonee</strong> <strong>Falls</strong><strong>Math</strong> <strong>Course</strong> <strong>Sequence</strong>Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12Acc.Honors<strong>Math</strong> 7AlgebraH GeometryH Algebra IIH Pre-CalculusH AP CalculusAB or BCH AP StatsHonorsH GeometryH Algebra IIH Pre-CalculusH AP CalculusAB or BC<strong>Math</strong> 6 <strong>Math</strong> 7 AlgebraH AP StatsGeometry Algebra II Pre-CalculusRegularPre-CalculusPrep (Co-taught)Pre-AlgebraAlgebraPrepAlgebraGeometryPrepAlgebra/GeoAlgebra IIPrepGeometryAdvanced<strong>Math</strong>IntermediateAlgebraNotes:Students will be placed in the appropriate 9 th grade course based on their 8 th grade EXPLORE test, MAP scores, and their score onthe Freshman Placement Exam.Students will need to be pr<strong>of</strong>icient in all standards taught in a course to move to the next courseStudents need an “A” in H Pre-Calculus and teacher recommendation to take AP Calculus BCHonors Algebra II students with an “A” may take both H AP Stats and H Pre-Calculus as a juniorStudents below a “C” in Geometry or teacher recommendation should enroll in Intermediate Algebra before taking Algebra IIAlthough the IMP curriculum is being phased out, IMP3 & IMP4 will still be <strong>of</strong>fered to students grades 10-12.
<strong>Math</strong>ematicsMission Statement:The mission <strong>of</strong> the MFHS <strong>Math</strong>ematics Department is to create students whose mathematical literacyallows them to be successful critical thinkers, problem solvers, and users <strong>of</strong> modern technology in realworld settings.<strong>Math</strong>ematics<strong>Course</strong> Title Length Year TakenAdvanced <strong>Math</strong> Year 12Algebra 1 Year 9Algebra 2 Year 10-12Algebra 2-Honors Year 10AP Calculus AB-Honors Year 12AP Calculus BC-Honors Year 12AP Statistics-Honors Year 11-12Functions, Statistics & Trig-Honors Year 11-12Geometry Year 9-12Geometry-Honors Year 9-10Intermediate Algebra Year 11-12IMP 3 Year 11-12IMP 3-Honors Year 10-11IMP 4 Year 12IMP 4-Honors Year 11-12Pre-Calculus Year 11-12Pre-Calculus-Honors Year 11-12ADVANCED MATHOne Year <strong>Course</strong>Grades 12Prerequisite: Algebra 2 & Geometry<strong>Course</strong> Number: MA109*Zero Hour <strong>Course</strong> Number: MA07Z*THIS COURSE OFFERED BEFORE SCHOOL7:10 AM-7:54 AM (ZERO HOUR)Advanced <strong>Math</strong> is an excellent course for the student whowants to increase his/her math skills and problem solvingabilities but is not ready for Pre-Calculus. Advanced <strong>Math</strong>begins with fundamental number properties and operationsand continues through a review <strong>of</strong> the major topics <strong>of</strong> Algebraand Geometry. A commitment to doing daily homework andsolving lots <strong>of</strong> problems is a must in this course. The ultimategoal <strong>of</strong> the senior taking the class should be to improve his/hermath skills to avoid remedial math placement as a freshman incollege. The student must have a graphing calculator. TI-83 orTI-84 preferred.68
ALGEBRA 1One Year <strong>Course</strong>Grade 9No Prerequisite<strong>Course</strong> Number: MA129Algebra 1 is the generalized study <strong>of</strong> arithmetic. Students willstudy the order <strong>of</strong> operations, properties the real numbersystem, equations and inequalities, systems <strong>of</strong> equations,polynomials, exponents and radicals, products and factoring,quadratic equations, and an introduction to relations andfunctions. The student must have a graphing calculator. TI-83or TI-84 preferred.<strong>Math</strong>ematicsALGEBRA 2One Year <strong>Course</strong>Grades 10-12Prerequisite: “C” or better in Algebra 1 andGeometry or Intermediate Algebra<strong>Course</strong> Number: MA149*Zero Hour <strong>Course</strong> Number: MA02Z*THIS COURSE OFFERED BEFORE SCHOOL7:10 AM-7:54 AM (ZERO HOUR)Algebra 2 reviews and extends the concepts presented inAlgebra 1. Special emphasis is given to the language <strong>of</strong>relations and functions. New topics include matrices, systems<strong>of</strong> equations with three variables, complex numbers, andlogarithmic and exponential functions. The students musthave a graphing calculator. TI-83 or TI-84 preferred.ALGEBRA 2-HONORSOne Year <strong>Course</strong>Grade 10Prerequisite: “B” or better in H Geometry, “A”for both semesters <strong>of</strong> Geometry orDepartment Approval<strong>Course</strong> Number: MA169This is a two-semester course covering the material in Algebra2 in greater depth, as well as series and sequence, conics andstatistical concepts. The students must supply their owngraphing calculator. TI-83 or TI-84 preferred. Students in thetraditional program, who plan to include Calculus in theirsenior year, should take this class.AP CALCULUS AB-HONORSOne Year <strong>Course</strong>Grade 12Prerequisite: "A" in Pre-Calculus or "B" orbetter in H Pre-Calculus or H IMP 4<strong>Course</strong> Number: MA189Calculus is a rigorous mathematics course intended for thosestudents who are interested in pursuing careers inmathematics, science, engineering, or business. The coursecontent is similar to that <strong>of</strong>fered in freshman level Calculusclasses at most major universities. Topics included in thesyllabus will be a brief review <strong>of</strong> trigonometry and someadvanced algebra topics, limits, differential calculus and itsapplications, and integral calculus and its applications. Thestudents must supply their own graphing calculator. TI-83 orTI-84 preferred.Upon successful completion <strong>of</strong> this course students may electto take the Advanced Placement Calculus AB Exam in May.Based on the performance on this test, college credits (usually4 or 5) may be earned.69
AP CALCULUS BC-HONORS*One Year <strong>Course</strong>Grade 12Prerequisite: “A” in H Pre Calculus or H IMP 4and Department Approval<strong>Course</strong> Number: MA119AP CALCULUS BC-LABORATORY-REQUIRED*<strong>Course</strong> Number: MA219*Must sign up for both courses.Calculus BC was designed for students who havedemonstrated outstanding mathematical progress in previousmath courses and enjoy challenging work. The topics coveredin Calculus BC are those covered in Calculus AB plus infinitesequences and series, parametric and polar equations, andtwo-dimensional vectors. A graphing calculator is required.TI-83 or TI-84 preferred. This course will be taught in a 2-hourblock. Upon successful completion <strong>of</strong> this course students mayelect to take the Advanced Placement Calculus BC Exam inMay. Based on the performance on this test, college credits (4-10) may be earned.<strong>Math</strong>ematicsAP STATISTICS HONORSOne Year <strong>Course</strong>Grades 11-12Prerequisite:” A” in Alg. 2 or IMP 3 for bothsemesters or a “B” or better in H Alg. 2 orH IMP 3<strong>Course</strong> Number: MA279*Zero Hour <strong>Course</strong> Number: MA04Z*THIS COURSE OFFERED BEFORE SCHOOL7:10 AM-7:54 AM (ZERO HOUR)FUNCTIONS, STATISTICS & TRIG-HONORSOne Year <strong>Course</strong>Grade 11-12Prerequisite: Algebra 2 and Geometry<strong>Course</strong> Number: MA299*Zero Hour <strong>Course</strong> Number: MA05Z*THIS COURSE OFFERED BEFORE SCHOOL7:10 AM-7:54 AM (ZERO HOUR)The purpose <strong>of</strong> this course is to introduce students to themajor concepts and tools for collecting, analyzing, and drawingconclusions from data. The class has four basic themes:• Exploring Data: Describing patterns and departuresfrom patterns• Sampling and Experimentation: Planning andconducting a study• Anticipating Patterns: Exploring random phenomenausing probability and simulation• Statistical Inference: Estimating populationparameters and testing hypothesesIt is intended that students enrolled in this course take theAdvanced Placement examination in AP Statistics in the spring<strong>of</strong> their year <strong>of</strong> study. TI-83 and TI-84 calculators will besupported by the textbook used in class and by the instructor,therefore, it is highly recommended that students own onethey can bring to class every day.This course is primarily intended for better math students whowant to take course work beyond Algebra 2 and Geometry. Ifyou are thinking <strong>of</strong> a career field that will include somestatistical work, this course will give you a solid background inintroductory statistical concepts. Topics studied will includestatistical concepts, statistical modeling, probability concepts,trigonometry, transformations <strong>of</strong> functions, exponential andlogarithmic functions, sequences and series, and binomial andnormal probability distributions. Several projects will beassigned each semester that will integrate the math learned inthe classroom with data collected outside the classroom. Forstudents to get the maximum benefit from this course, theyshould plan to have regular attendance and homework habits.The students must supply their own graphing calculator. TI-83or TI-84 preferred.70
GEOMETRYOne Year <strong>Course</strong>Grades 9-12Prerequisite; Algebra 1<strong>Course</strong> Number: MA319Students will study the properties <strong>of</strong> both two and threedimensionalfigures. Emphasis is given to the process <strong>of</strong>deductive reasoning in both mathematical and nonmathematicalsituations. Opportunities are provided fororiginal and creative thinking and for the development <strong>of</strong> anunderstanding <strong>of</strong> planar and spatial relationships. The studentmust have a graphing calculator. TI-83 or TI-84 preferred.<strong>Math</strong>ematicsGEOMETRY-HONORSOne Year <strong>Course</strong>Grades 9-10Prerequisite: “B” or better in 8th GradeAlgebra or an “A” in both semesters <strong>of</strong> 9 thgrade Algebra.<strong>Course</strong> Number: MA329INTERMEDIATE ALGEBRAOne Year <strong>Course</strong>Grades 11-12Prerequisite: Algebra 1 and Geometry with a“C” average or lower<strong>Course</strong> Number: MA369IMP 3– (INTERATIVE MATHEMATICSPROGRAM 3)One Year <strong>Course</strong>Grades 11-12Prerequisite: IMP 2<strong>Course</strong> Number: MA389*Zero Hour <strong>Course</strong> Number: MA01Z*THIS COURSE OFFERED BEFORE SCHOOL7:10 AM-7:54 AM (ZERO HOUR)This is a two-semester course covering the material inGeometry R in greater depth, as well as additional topics. Itemphasizes solid geometry, pro<strong>of</strong>s and logic, and anintegration <strong>of</strong> algebraic and geometric concepts. Studentswho plan to include an advanced placement course in theirsenior year should take this class. The student must have agraphing calculator. TI-83 or TI-84 preferred.Intermediate Algebra is intended for students who havecompleted Algebra I and Geometry and need to take Algebra IIbut are not ready. This course will provide a review <strong>of</strong> thecontent <strong>of</strong> Algebra I: simplifying algebraic expressions, solvinglinear and quadratic equations, linear and quadratic graphing,interpretation <strong>of</strong> graphs and charts, solving systems <strong>of</strong>equations, and basic function notation. It will also reviewsome basic geometric concepts including coordinategeometry. The students must supply their own scientificcalculator.This course does not satisfy math requirements for entrance tocollege but may be a necessary step for some students.During the third year <strong>of</strong> IMP, students will solve quadraticequations, work with exponential and logarithmic functions,and extend their ability to solve systems <strong>of</strong> equations using theelimination method and matrices. Linear programmingconcepts will be extended to problems with several variables.Geometric concepts this year include properties <strong>of</strong> circles,polygons, parallel and intersecting lines. The integratedapproach allows students to look at these topics fromalgebraic and geometric and precalculus perspectives.Precalculus topics include inverse functions and understandingthe meaning <strong>of</strong> the derivative and its relationship toinstantaneous rates <strong>of</strong> change. Statistical topics covered thisyear include finding the probability <strong>of</strong> a sequence <strong>of</strong> events,developing the meaning <strong>of</strong> combinations and permutations inthe real world and developing p0rinciples to compute them,and developing and applying the binomial distribution. Thestudents must supply their own graphing calculator. TI-83 orTI-84 preferred.71
IMP 3-HONORS(INTERACTIVE MATHEMATICS PROGRAM 3-HONORS)One Year <strong>Course</strong>Grades 10-11Prerequisite: “B” or better in IMP 2 H, “A” forboth semesters <strong>of</strong> IMP 2 orDepartment Approval<strong>Course</strong> Number: MA509Students who earned a C or better in IMP 2H will take HInteractive <strong>Math</strong>ematics Program 3 as a sophomore in orderto reach AP Calculus during their senior year. The studentsmust supply their own graphing calculator. TI-83 or TI-84preferred.<strong>Math</strong>ematicsIMP 4(INTERACTIVE MATHEMATICS PROGRAM 4)One Year <strong>Course</strong>Grade 12Prerequisite: IMP 3<strong>Course</strong> Number: MA399IMP 4-HONORS(INTERACTIVE MATHEMATICS PROGRAM 4-HONORS)One Year <strong>Course</strong>Grades 11-12Prerequisite: “B” or better in IMP3 H, “A” forboth semesters <strong>of</strong> IMP 3 orDepartment Approval<strong>Course</strong> Number: MA519PRE-CALCULUSOne Year <strong>Course</strong>Grades 11-12Prerequisite: “C” or better in Algebra 2 or “C”or “D” in Algebra 2 H<strong>Course</strong> Number: MA429PRE-CALCULUS-HONORSOne Year <strong>Course</strong>Grades 11-12Prerequisite: “A” in Algebra 2 or“B” or better in Algebra 2 H<strong>Course</strong> Number: MA449During the final year <strong>of</strong> IMP, students will study polar andparametric equations, geometric transformations in analyticform and using matrices, and families <strong>of</strong> functions fromseveral perspectives. Students will use the least-squaresmethod and the calculator’s regression facility to do curvefitting to examine data. Right triangle trigonometry will beextended to circular functions, graphing variations <strong>of</strong> the sineand cosine functions and inverse trig functions. Trigonometricformulas will be developed and used. Statistical concepts willinclude using the binomial distribution to model a pollingsituation, approximating it by normal distribution to assess thesignificance <strong>of</strong> poll results, and working with the concepts <strong>of</strong>confidence intervals and margins <strong>of</strong> error. The students mustsupply their own graphing calculator. TI-83 or TI-84 preferred.Students who earned a C or better in IMP 3H will take HInteractive <strong>Math</strong>ematics Program 4 as a junior in order toreach AP Calculus during their senior year. The students mustsupply their own graphing calculator. TI-83 or TI-84 preferred.Pre-Calculus is an advanced course in high schoolmathematics. It presents the mathematics that follows thestudy <strong>of</strong> algebra and geometry and precedes the rigorousstudy <strong>of</strong> calculus. It is designed and recommended for thosewho seek careers in mathematics, science, business,engineering or other technical fields. Topics studied includethe following: review <strong>of</strong> algebraic concepts; functions andrelations; circular, trigonometric, polynomial, algebraic,logarithmic and exponential functions. The students mustsupply their own graphing calculator. TI-83 or TI-84 preferred.72
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