|Montana Council of Teachers of Mathematics|
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© MCTM 2002
MCTM Math Contest Explanation
IntroductionThe registration fee is $3.00 per participant.
All schools must register online. Schools should watch for further information about registering from their local site director. Schools are not allowed to have students register for two different regions. If a school has students participate at two different regions, all students from that school may be disqualified for scholarship awards.
Deadline for contest fees will not be a postmark deadline but a "received by" deadline. Please make sure you get your check to the site director early to ensure your participants are registered for the contest.
Be sure to register your students by the grade level at which they wish to compete. All 7th - 10th grade students must be registered at their current grade level or higher (Ex: a 9th grade student cannot register as a 8th grade student). If Suzie Q is a 7th grade student and wants to take the 9th grade tests, then register her as a 9th grade student. All 11th and 12 grade students must register as their current grade level! SENIORS who are competing for the scholarship must register for the 12B tests. An 11th grade student can take the same tests by registering for 11B. Only high school seniors can register for 12B.
All students registering at a particular grade level will take the same tests (see topics below).
Some regional sites will offer a team test. Sites who offer team tests will group their teams as 7-8, 9-10 and 11-12.
Calculators are allowed on all tests. Symbolic manipulator calculators are allowed on all tests.
Test GuidelinesEach participant must take three tests (the team test is optional by site.)
7th Grade Student - Foundation, Number Concepts and Potluck
8th Grade Student - Number Concepts, Potluck and Dimensions and Shapes
9th Grade Student - Dimensions and Shapes, Problem Solving and Applied Math Test
10th Grade Student - Problem Solving, Applied Math Test and Intermediate Math Test
11th and 12th Grade Students have a choice of three sets of tests
11A and 12A - Intermediate Math Test, Finite Math Test and Advanced Math Test
11B and 12B* - Finite Math Test, Senior Test, Scholarship Math Test
*To be eligiable for the scholarship a participant must be a 12th grade student and participate in the three tests in Set B.
ALL STUDENTS IN GRADES 11 AND 12 MUST REGISTER FOR THEIR CURRENT GRADE LEVEL.
Test TopicsSuggested test topics may include but are not limited to the following:
Foundations Test Topics - Basic expressions and equations, coordinate graphing, operations with rational numbers, number theory and real-life application of mathematical concepts
Number Concepts Topics - Percent, ratio, proportion, numeracy, number patterns, basic statistics
Pot Luck Topics - Similarity, numeracy, coordinate geometry, integer applications, patterns, fractions. formulas, probability, graph interpretation, solving two-step algebraic equations
Dimensions and Shapes Topics - Perimeter, area, volume, applications, unit analysis, Pythagorean theorem
Problem Solving Topics - Data analysis, linear functions, scientific notation, exponential growth, patterns, deductive reasoning, matrix operations, variation
Applied Math Topics - Percent, area, volume, probability, price computations, geometry, functions, distance, midpoint, angles, parallel lines, perpendicular lines
Intermediate Math Topics - Variation, inequalities, dimensional analysis, linear and quadratic expressions and equations, statistics, linear algebra, patterns
Advanced Math Topics - Statistics, matrices, logarithms, geometry, exponentials, variation, trigonometry, volume, surface area, special right triangles
*Senior Test Topics - Complex numbers, conic sections, patterns, step and polynomial functions, vectors, parametric equations, limits, optimization problems
*Finite Test Topics - Linear programming, systems of equations, combinations and permutations, data analysis, probability, statistics, graph theory, matrix applications, series and sequences, regression, correlation
*Scholarship Test Topics - Conic sections, linear programming, combinations and permutations, graph theory, sequences and series, limits, parametric equations, optimization problems, derivatives, integrals
Some sites will offer Team Tests:
7-8 Team Topics - Selected from topics on Seventh, PotLuck, Number concepts, Dimensions and Shapes
9-10 Team Topics - Selected from topics on Dimensions and Shapes, Problem Solving, Applied Math and Intermediate Math
11-12 Team Topics - Selected from topics on Intermediate Math, Advanced Math, Finite and Senior
Scholarships and AwardsAwards will include certificates for all participants, superior rating for the top 15% and honorable mention for the next 20%. Individual results are forwarded to the state level and state awards are also given.
MCTM awards a $500 state scholarship to the outstanding senior male and senior female at the statel level of the contest. These are the Joan Dolan Memorial Scholarship and the Adrien Hess Memorial Scholarship. Each site awards a $200 scholarship to the top male and a $200 scholarship to the top female participant from their region using the guidelines described below.
To qualify for the site level and the state level scholarships, the participant must be a 12 grade student and must choose to take the level 12B tests (Senior, Finite, and Scholarship). It is very important that all coaches realize that a student will not be eligible for a scholarship unless they take those tests.
Scholarships are decided by adding the raw scores of the three tests taken for the competition (Senior, Scholarship, and Finite). If a tie exists the Scholarship Test scores will be used as the first tie-breaker and the Senior Test scores as the second tie-breaker. To be eligible, the participant must be a senior and take all three of these tests.