math olympics information booklet

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    Instructions to the multiple choice

    questions

    1. Number your questions 1-20.2. Use Arial font size 12 and Equation Editor or Math Type to write the

    problems to ensure the correct usage of mathematical symbols.3. Use only a, b, c, and das the answer choices for each question.4. Do not use as answers all of the above or none of the above5. Make sure to revise the correct answer is provided as one of the choices of

    h ti

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    Math Olympics Rules andRegulations (taken from the ABSH

    Members Handbook)

    Brief Description The objective of this activity is to promote the interest of students

    and schools in the different areas of mathematics covered in the;high school curriculum this would be achieved by means of

    .celebrating a Math Olympics competition on a yearly basis

    In this competition each participating school can participate with20 -one team of up to three students to answer a multiple choice

    question exam in each of the seven categories described below

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    . , - ,equivalent in other brands The Basic Math Pre Algebra and.Algebra I participants are NOT allowed to use calculators at all

    Participants

    :Students are eligible to participate if

    1. The school has paid the annual membership fees of the.Association If a school participates and has not paid these

    ,fees its participation shall be nullified by the ABSH on this.particular tournament

    2. The student in dully registered in the respective school on.the day when the competition takes place

    Registration

    a. Each institution must notify the participation of its teams nolater than 29pril

    ,Notification must be sent via fax mail or internet and must:include the following

    .I Letterhead of the participating school

    II Number of participating students per category and

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    .are able to answer the exam The fourth member is.considered a backup student

    .d . 300.00Each school must pay a registration fee of L for.50.00 .registering the school and L per participating student

    .e All schools that register for the event and do not show up.will incur in a monetary fine

    Competition and Regulationsa. There will be a Math Coaches meeting on 13ay to clear

    .up any last minute details and pay registration fees

    b. ,If a school is not represented during the meeting it agreesto abide by ALL the decisions taken by the representedschools

    .c .All Math Coaches will help grade the exams

    d The Host School ill pro ide proctors to monitor the taking

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    `Student s Arrival 9:40 . .a m

    Opening Ceremony 10:00 . .a m t o10:30 . .a m

    Exams 10:30 . . 12:00 . .a m to p m

    Student s Activity Exam Checking 12:00 . . 1:30p m t o . .p m

    Lunch1:30 . . 2:00

    p m t o

    . .p m

    Award and Closing Ceremony 2:00 . .p m

    9:40All students are required to be at the hosting school at . . .a m on the day of the event If for any circumstance

    ;students need to arrive earlier the host school will provide a.study area where they will be required to wait

    . 10:30 . .h The exam will begin at a m in different classrooms of.the host school and it will last one hour and thirty minutes

    . 2:00 . .i The award ceremony will take place at p m Awards:handed will consist of special diplomas as described below

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    .b Proctors must make sure the there is NO talking among the

    different teams and discussion among team members is done in a.quiet manner

    . .c Proctors are NOT allowed to assist students during the exam

    . .d They should verify that calculators are according to rules

    TESTS

    The exams for the Math Olympics are going to be generated in:the following way

    . 20 -a Each school participating will bring a complete multiplechoice question with answers exam for each participating

    . ,category Exams will be saved in a USB or CD typed in2009, 12Microsoft Word Arial font size using Equation Editor or

    Math Type to write the problems to ensure the correct usage of.mathematical symbols

    . ,b The exams must try to include all the topics therefore no

    t ti i th h ld b f th t i f

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    .f A simple majority in the group of three is enough to accept.or reject a question

    .g If a school agrees to bring an exam for a category and does, .not do so their students will be disqualified in that category

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    Topics List

    Basic MathA. Problem Solving

    B. Order of Operations

    C. Evaluating Expressions

    D. Powers and Exponents

    E. Equations

    One step equations

    Multi-step equations

    F. Inequalities

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    Multiplication

    DivisionEquations

    J. Fractions

    Addition

    Subtraction

    Multiplication

    Division

    Equations

    Pre-AlgebraA. Problem Solving

    B. Order of Operations

    C. Variables and Expressions

    D. Solve equations and inequalities

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    Rules of exponents

    Prime FactorizationGCF

    LCM

    Negative Exponents

    G. Rational Numbers

    Addition

    Subtraction

    Multiplication

    Division

    H. Functions

    Relations and Functions

    Graphing Linear Equations

    Slope

    Intercepts

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    Addition, subtraction, multiplication, division

    B. Equations

    One step equationsMulti -step equations variable on both sides

    C. Ratio and Proportion

    The Coordinate Plane Relations

    Graphing Linear EquationsFunctions

    D. Expressions

    PatternsOrder of Operations

    E. Linear Equations

    SlopeWriting Linear EquationsPoint-Slope FormSlope-Intercept FormStandard Equation of a Line

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    I. Systems of Linear Equations

    GraphingSubstitutionLinear Combination

    Algebra II

    A. Real Numbers and Equations

    The set of real numbersOperations with Real NumbersVariables and ExpressionsProperties of Real NumbersSolving Equations in one variableTranslating word sentences into equationsProblem Solving

    B. Equations and Inequalities

    Literal equations and formulas

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    Solving linear systems using graphsSolving systems by the substitution method

    The elimination methodProblem solving: Using linear systems of equationsSolving linear systems of inequalitiesProblem solving: Linear programming

    E. Quadratic Functions

    Graphing Quadratic FunctionsThe Quadratic FormulaProblem solving with quadratic equationsThe DiscriminantThe sum and product of rootsSolving equations in quadratic formSolving quadratic inequalities

    F. Matrices and Determinants

    Special MatricesMatrix additionMatrix multiplicationProblem solving with matricesSolving systems of equations in three or more variables by the elimination and

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    Solving rational equationsProblem solving: using rational equations

    I. Irrational and Complex Numbers

    Roots and radicalsAdding, subtracting, multiplying, dividing radicalsSolving equations with radicalsDistance and midpoint formulasImaginary numbers

    Addition, subtraction, multiplication and division of complex numbers

    Geometry

    A. Points, Lines and Planes

    Points (set of points, space, collinear, coplanar)PlanesIntersections

    B. Measuring Segments

    Segment Addition Postulate

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    F. Congruent triangles

    Classifying trianglesMeasuring and finding angles of trianglesCongruent trianglesProving triangles congruent by ASA, SAS, SSS, HL, and AASAnalyzing isosceles triangles

    G. Applications of Right Triangles

    Special segments in trianglesRight trianglesThe Pythagorean TheoremGeometric meanSpecial right trianglesRatios in right triangles

    Angles of elevation and depressionUsing the law of sines and cosines

    H. Quadrilaterals

    ParallelogramsProving parallelograms

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    Properties of angles and arcsInscribed angles

    TangentsSecants, tangents and angle measuresSpecial segments on circlesArea for circles and regular polygonsVolume of polyhedrons: regular prism, spheres, cylinders, pyramids, and cones

    Trigonometry

    A. Introduction to trigonometric functions

    Angles in the coordinate plane

    Angle measures in degree and radians

    Applications: angular and linear velocity

    Circular functions

    The trigonometric functions

    Functions of special and quadrant angles

    Evaluating expressions that contain trigonometric functions

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    Double angle and half angle identities

    Product/Sum identitiesProving advanced trigonometric identities by algebraic manipulations

    Verifying advanced trigonometric identities by the graphical method

    Solving trigonometric equations

    D. Applications of Trigonometry

    Solving tight triangles

    Solving triangles by the Law of Sines

    Solving triangles by the Law of Cosines

    Applications to geometry: navigation, sports, aviation, physics and surveying

    Pre-calculus

    A. Introduction to Functions and their graphs

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    Synthetic division and the remainder and factor theorems

    Graphs of polynomial functions: zeros, relative extrema, inflection points,area between the graph and the x-axis, distance between any two points onthe curve, arc length between any two points on the curve, tangent line toany point on the curve

    Integral and rational zeros

    The fundamental theorem of algebra and its corollaries

    Factorizing completely a polynomial over the field of complex numbers

    Descartes Rule, the Intermediate value theorem; and the sum and productof zeros

    Rational functions: their graphical behavior; domain and range; vertical,horizontal and oblique asymptotes

    Radical functions: their graphical behavior; domain and range; vertical,horizontal and oblique asymptotes

    Modeling and solving real world situations with polynomial, rational andradical functions

    C. Matrices and Linear Systems of Equations and Inequalities

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    Participating Schools

    Academia Americana

    Academia Los Pinares

    Centro Escolar AldebaranCentro Escolar Antares

    gape Christian School

    Del Campo International School

    Discovery School

    El Alba Bilingual School

    Episcopal El Buen Pastor

    Escuela Bilinge Mesoamericana

    Freedom High School

    International School of Tegucigalpa

    La Estancia SchoolLiceo Bilingue Centroamericano

    Macris School

    Mayan School

    Sacred Heart Academy

    Santa Teresa Bilingual School

    Palmeras Bilingual School

    Progreso International School

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    Agenda

    Friday May 13Math Coaches Meeting 5:00pm AST High School Library

    Saturday May 14

    Exams 7:00 a.m. to 10:00 a.m. HS Computer Lab BMS Computer Lab

    Elaboration and Revision***

    Student`s Arrival 9:40 a.m. GYM

    Opening Ceremony 10:00 a.m. to 10:30 a.m. GYM

    Testing 10:30 a.m. to 12:00 p.m. MS and HS

    Rooms

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    Invited Schools

    Teachers Participation

    Exam Elaboration

    The following teachers will elaborate the tests used in the competition:

    Category School

    Basic Math

    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Pre- Algebra

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    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Geometry

    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Pre-Calculus

    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Trigonometry

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    ______________________________ ______________________________

    ______________________________ ______________________________

    Pre- Algebra

    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Algebra I

    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Algebra II

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    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

    Trigonometry

    ______________________________ ______________________________

    ______________________________ ______________________________

    ______________________________ ______________________________

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    The following teachers will participate as proctors:

    Basic Math

    AST Staff Member Participating School Proctor Rm#

    Iris Borjas ____________________________ HS#51

    Raquel Molina ____________________________ HS#52

    Sarah Willet ____________________________ HS#53

    Pre-Algebra

    Nirmala Chennamsetty ____________________________ HS#54

    Guisela Flores ____________________________ HS#55

    Karen Hesse ____________________________ HS#56

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    Room Distribution

    High School Building

    Basic Math Room #51 Room #52 Room#53

    Centro Escolar Antares El Alba Bilingual School Palmeras Bilingual SchoolCentro Escolar Aldebaran Episcopal El Buen Pastor Freedom High School

    Macris School Seran Sacred Heart AcademyLa Estancia School International School Tegucigalpa Escuela Internacional SPSDel Campo International Discovery School American SchoolAcademia Americana Liceo Bilingue Centroamericano Mayan SchoolAgape Christian School Progreso Bil ingual School

    Pre-Algebra Room #54 Room #55 Room #56

    Centro Escolar Antares Seran American SchoolEl Alba Bilingual School Sacred Heart Academy Academia AmericanaPalmeras Bilingual School La Estancia School Liceo Bilingue Centroamericano

    Centro Escolar Aldebaran International School Tegucigalpa Agape Christian SchoolEpiscopal El Buen Pastor Escuela Internacional SPS Progreso Bilingual SchoolFreedom High School Del Campo International School Academia Los PinaresMacris School Discovery School Escuela Bilingue MesoamericanaMayan School Santa Teresa Bilingual School

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    Algebra I Room #57 Room #58 Room#59

    Macris School Escuela Internacional SPS Liceo Bilingue CentroamericanoDiscovery School Progreso Bilingual School El Alba Bilingual School

    Escuela Bilingue Mesoamericana Centro Escolar Aldebaran Sacred Heart AcademyFreedom High School International School Tegucigalpa Academia AmericanaDel Campo International School Agape Christian School Centro Escolar AntaresAcademia Los Pinares Palmeras Bilingual School SeranEpiscopal El Buen Pastor La Estancia School American School of TegucigalpaSanta Teresa Bilingual School Mayan School

    High School Building Middle School Building

    Algebra II Room #62 Room #63 Room #18

    Centro Escolar Antares Episcopal El Buen Pastor Palmeras Bilingual SchoolCentro Escolar Aldebaran Seran Freedom High SchoolMacris School International School Tegucigalpa Sacred Heart AcademyLa Estancia School Academia Los Pinares Escuela Internacional SPSAcademia Americana Escuela Bilingue Mesoamericana American School of TegucigalpaAgape Christian School El Alba Bilingual School Mayan School

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    Middle School Building

    Geometry Room #1 Room #3 Room #4

    Centro Escolar Antares Centro Escolar Aldebaran Macris SchoolLa Estancia School Del Campo International School Academia AmericanaAgape Christian School El Alba Bilingual School Episcopal El Buen Pastor Seran International School Tegucigalpa Discovery SchoolLiceo Bilingue Centroamericano Academia Los Pinares Palmeras Bilingual SchoolFreedom High School Sacred Heart Academy Escuela Internacional SPSAmerican School of Tegucigalpa Santa Teresa Bilingual School Mayan School

    Pre-Calculus Room #5 Room#12 Room#14

    Macris School Centro Escolar Antares La Estancia SchoolAcademia Americana El Alba Bilingual School SeranInternational School Tegucigalpa Discovery School Academia Los Pinares.Escuela Bilingue Mesoamericana Palmeras Bilingual School Freedom High SchoolSacred Heart Academy Escuela Internacional SPS American School of TegucigalpaSanta Teresa Bilingual School Mayan School

    Trigonometry Room #6 Room #11La Estancia School Centro Escolar AntaresAcademia Americana SeranInternational School Tegucigalpa Freedom High School

    Sacred Heart Academy American School of TegucigalpaMacris School Palmeras Bilingual SchoolEl Alba Bilingual School Escuela Internacional SPS

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    Statistics

    School Basic Math Pre-Algebra

    Algebra I Algebra II Geometry Pre-Calculus

    Trigonometry

    AcademiaAmericana

    Academia LosPinares

    Centro EscolarAldebaran

    Centro EscolarAntares

    gape ChristianSchool

    Del Campo

    InternationalSchoolDiscoverySchool

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    El Alba BilingualSchool

    Episcopal El

    Buen PastorEscuela BilingeMesoamericanaEscuelaInternacionalSPSFreedom HighSchool

    International

    School ofTegucigalpaLa EstanciaSchool

    Macris School

    Liceo BilingeCentroamericano

    Mayan School

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    Sacred HeartAcademy

    Santa TeresaBilingual School

    PalmerasBilingual School

    ProgresoInternationalSchoolSeran

    American Schoolof Tegucigalpa

    ***The following document can be also accessed at: www. astmatholympics2011.blogspot.com