math olympics information booklet[2]
TRANSCRIPT
8/6/2019 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