math olympics information booklet[2]

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TEGUCIGALPA, MAY, 14 th 2011

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Page 1: Math Olympics Information Booklet[2]

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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 d as the answer choices for each question.4. Do not use as answers “all of the above” or “none of the above”5. 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 with 20 -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 no later 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 Regulations 

a.    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 agrees to abide by ALL the decisions taken by the represented schools

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

. .p m

• Lunch 1:30 . . 2:00p 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

AWARDS

 SUPERIOR PERFECT SCORE 20 correct answers

SUPERIOR 17 19to correct answers

EXCELLENT 14 16t t

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. .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 multiple choice question with answers exam for each participating 

. ,category Exams will be saved in a USB or CD typed in 2009, 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 two questions in the exam should be from the same topic from 

.the topic list

. ,c On the day of the exam Math Coaches will be assigned in 

f th t d l t th fi l f th 

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Multi-step inequalities

G. Decimals

Addition

Subtraction

Multiplication

Division

H. Divisibility

I. Integers

Addition

Subtraction

Multiplication

Division

Equations

J. Fractions

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With variables on both sides

E. Integers

Addition

Subtraction

Multiplication

Division

F. Factors

Powers

Exponents

Rules of exponents

Prime Factorization

GCF

LCM

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I. Ratios

Ratio and ProportionFractions, Decimals and Percents

Algebra I

A. Rational Numbers

Addition, subtraction, multiplication, division

B. Equations

One step equationsMulti -step equations variable on both sides

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Solving InequalitiesFour Basic Operations

Multi-step inequalitiesInvolving Absolute ValueGraphing Inequalities in Two Variables

G. Factorization

GCFPerfect SquareDifference of SquaresGrouping

H. Polynomials

Adding, subtracting, multiplying

Dividing polynomials by monomialsDividing polynomials by binomials

I. Systems of Linear Equations

GraphingSubstitutionLinear Combination

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Absolute value inequalitiesProblem solving using equations and inequalities

C. Functions and Graphs

The coordinate planeRelations and functions

Graphing EquationsComposition of FunctionsInverse FunctionsThe slope of a lineParallel and Perpendicular linesEquations of a LineProblem solving strategy: Use coordinate geometry

D Li t f ti d i liti i t i bl

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Special MatricesMatrix addition

Matrix multiplicationProblem solving with matricesSolving systems of equations in three or more variables by the elimination andGauss-Jordan methodsInverse matricesDeterminants and Cramer’s rule for systems of n equations in n variablesWord problems: systems of n equations in n variables

G. Polynomials

Exponents and MonomialsPolynomials: Classification, addition, and subtraction, multiplication

Advanced problems on factoring polynomials completelySolving polynomial equationsProblem solving: using polynomial equations

H. Rational Expressions

Negative exponents and scientific notationSimplifying rational expressions

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Segment Addition PostulateDistance between points

MidpointBisector of congruent segments

C. Angles and their measure

Angles and their measureClassification of anglesAngle bisectors

Congruent, vertical and complementary and supplementary angles

D. Reasoning and Proof 

Inductive reasoningDeductive reasoningWriting two-column proofs

Verify angle and segment relationships

E. Perpendicular and Parallel Lines

Parallel lines and transversalsAngles and parallel linesProving lines parallel

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Proving parallelogramsRectangles

SquaresRhombusTrapezoids

I. Proportion and Similarity

Using Ratios and ProportionsSimilar polygons

Parallel lines and proportional parts of similar triangles

J. Circles

Parts of a CircleCircumferenceMeasure and length of arc

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

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Period, frequency, amplitude and phase shift

Graphical behavior of the d c xa x f  d c xba x f  ++=++=

)cos()(,)(sin)(and d c xba x f   ++= )(tan)( functions

The inverse trigonometric functions: their properties and graphicalbehavior 

Modeling: Simple Harmonic Motion

C. Trigonometric Identities and Equations

Sum and difference identities

Double angle and half angle identities

Product/Sum identities

Proving advanced trigonometric identities by algebraic manipulations

Verifying advanced trigonometric identities by the graphical method

Solving trigonometric equations

D A li ti f T i t

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Reflections and transformations

Functions as mathematical models of real world situations: modeling andsolving word problems

Linear functions: their graphs, different forms of linear equations, paralleland perpendicular lines, the midpoint and distance formulas, distance from apoint to a line, coordinate proofs, modeling and solving real world situationswith linear functions

Quadratic functions: their graphical behavior, solving quadratic equations,modeling and solving real world situations with quadratic equations

B. Polynomial functions

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

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The determinant of 2 x 2, 3 x 3, and n x n matrices

Cramer’s rule to solve a system of n

equations inn

variables

D. Exponential and Logarithmic functions

Rational exponents

Exponential functions and their graphical behavior 

Logarithmic functions and their graphical behavior 

Properties of logarithms

Evaluating expressions that contain logarithms (in any base) andexponents

Solving logarithmic equations in any base

Solving exponential equations

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F. Limits

Graphical introduction to limits of functions

One sided limits

Intuitive definition of the limit

Theorems on limits and their applications

Infinite limits

Limits at infinity

Limits involving trigonometric functions

Continuity of a function at a point

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i i i S

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Progreso International School Seran

American School of Tegucigalpa

Agenda

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Lunch 1:30 p.m. to 2:00 p.m. Cafeteria

Award and Closing Ceremony 2:00 p.m. GYM

***Coaches assigned to exam elaboration and revision are required to be in school at6:45 am.

Invited Schools

´

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 ______________________________ ______________________________ 

Algebra I

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

Algebra II

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

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 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

Exam Revision

The following teachers will revise and check the test elaborated for thecompetition and its grading key:

Category School

Basic Math

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

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 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

Geometry

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

Pre-Calculus

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

 ______________________________ ______________________________ 

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Proctors

The following teachers will participate as proctors:

Basic Math

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Carolina Martinez ____________________________  HS#57

Elsa Dougherty ____________________________  HS#58

Dulce Lopez ____________________________   HS#59

Algebra II

Michelle Simon ____________________________  HS#62

Keely Wrzensinski ____________________________  HS#63

Justa Corea ____________________________   MS#18

Geometry

Mollie Davis ____________________________   MS#1

Collin Roberts ____________________________   MS#3

Eric Lofchie ____________________________   MS#4

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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 SchoolMacris School Seran Sacred Heart AcademyLa Estancia School International School Tegucigalpa Escuela Internacional SampedranaDel Campo International Discovery School American SchoolAcademia Americana Liceo Bilingue Centroamericano Mayan SchoolAgape Christian School Progreso Bilingual 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 CentroamericanoCentro Escolar Aldebaran International School Tegucigalpa Agape Christian School

Episcopal El Buen Pastor Escuela Internacional Sampedrana 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 Sampedrana Liceo Bilingue CentroamericanoDiscovery School Progreso Bilingual School El Alba Bilingual SchoolEscuela 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 SampedranaAcademia 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 #4Centro 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 SampedranaAmerican 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 Sampedrana American School of TegucigalpaSanta Teresa Bilingual School Mayan School

Trigonometry Room #6 Room #11La Estancia School Centro Escolar AntaresAcademia Americana Seran

International School Tegucigalpa Freedom High SchoolSacred Heart Academy American School of TegucigalpaMacris School Palmeras Bilingual SchoolEl Alba Bilingual School Escuela Internacional Sampedrana

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Statistics

School Basic Math Pre-Algebra

Algebra I Algebra II Geometry Pre-Calculus

Trigonometry

AcademiaAmericana

Academia LosPinares

Centro Escolar Aldebaran

Centro Escolar Antares

Ágape ChristianSchool

Del Campo

InternationalSchoolDiscoverySchool

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El Alba BilingualSchool

Episcopal El

Buen Pastor Escuela BilingüeMesoamericana

EscuelaInternacionalSampedranaFreedom HighSchool

InternationalSchool of TegucigalpaLa EstanciaSchool

Macris School

Liceo BilingüeCentroamericano

Mayan School

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Sacred HeartAcademy

Santa Teresa

Bilingual SchoolPalmerasBilingual School

ProgresoInternationalSchoolSeran

American Schoolof Tegucigalpa

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